messages
listlengths 3
3
| problem
stringlengths 4.26k
30.5k
| solution
stringlengths 472
3.92k
| uid
stringclasses 1
value | train_inputs
sequencelengths 2
4
| train_outputs
sequencelengths 2
4
| test_inputs
sequencelengths 1
1
| test_outputs
sequencelengths 1
1
|
---|---|---|---|---|---|---|---|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Green Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Brown\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Brown Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Pink Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Pink Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Pink Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Pink Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Pink Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Green Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Green Red
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Pink Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Brown
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Brown Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Gray Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Gray Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nGray Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Orange Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nOrange Gray Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Gray Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Gray Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Gray Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Gray Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Gray Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Gray Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Purple Black Black Black Black Black Black Black Black Black
Orange Purple Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Orange Purple
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Orange Purple
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Orange Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Orange Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Black Black Orange Orange
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Orange Orange Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Pink Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Example 2
Input:
Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Output:
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 4
Input:
Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Output:
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Here is the input grid for the test example:
Input:
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Red Red Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
]
]
] | [
[
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBrown Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Brown Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Brown Orange\nBlack Black Black Black Black Black Black Black Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Orange Brown\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Brown Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Brown Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Brown Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nYellow Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Brown Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Black Black Brown Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Brown Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Brown Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Brown Orange
Black Black Black Black Black Black Black Black Orange Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Orange Brown
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Orange Brown Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Brown Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Orange Brown Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Yellow Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Black Black Brown Brown
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Blue Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
7,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
7,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
7,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
7,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nRed Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Red Pink Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Black Black Red
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Red Pink Black Black Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Orange Pink
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Pink Pink
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Orange Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Orange Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Orange Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Orange Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Orange Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Orange Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Orange Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Green Black
Output:
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Orange Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Orange Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
7,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Gray\n\nOutput:\nBlack Black Red Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black\nBlack Purple Red Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Red Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Red Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black Purple Black\n\n\nExample 3\nInput:\nGray Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Gray Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Gray Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Gray Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Gray Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Gray Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Gray Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Gray Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Gray Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Gray Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Gray
Output:
Black Black Red Yellow Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Blue Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Output:
Red Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Black
Black Purple Red Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Purple Red Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Purple Red Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Purple Red Black
Black Black Black Black Black Black Black Black Purple Black
Example 3
Input:
Gray Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Gray Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Gray Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Gray Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Gray Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Gray Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Yellow Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Yellow Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Yellow Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Yellow Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Yellow Red
Red Red Black Black Black Black Black Black Black Black Black Black
Yellow Red Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Red Black Black Black Black Black Black Black Black Blue
Black Black Blue Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Red Black
Blue Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Purple Black Black
Here is the input grid for the test example:
Input:
Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Gray Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
5
]
],
[
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
]
],
[
[
5,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
],
[
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
]
]
] | [
[
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\n\nOutput:\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Yellow Gray\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Yellow Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nYellow Gray Black Black Black Black Black Black Black Black\n\nOutput:\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Gray Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Gray\nBlack Black Black Black Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Orange Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Purple Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Purple Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Output:
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Green
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Yellow Gray
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Yellow Gray Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Yellow Gray Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Yellow Gray Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black
Yellow Gray Black Black Black Black Black Black Black Black
Output:
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Yellow Gray Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black
Black Black Yellow Gray Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Yellow Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Yellow Gray Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Yellow Gray
Black Black Black Black Black Black Black Black Gray Black
Output:
Black Black Black Blue Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Orange Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Orange Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Orange Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Orange Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Orange Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Orange Yellow Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Purple Yellow
Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Purple Yellow Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Purple Yellow Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Purple Yellow Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black
Black Black Purple Yellow Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black
Purple Yellow Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Red Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Purple
``` | 8ee62060 | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
5
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
5,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
5,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
5,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
5,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Brown Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Brown Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBrown Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\n\n\nExample 2\nInput:\nOrange Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Orange Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Orange Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Orange Green\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Orange Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Orange Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Pink Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Black Orange\n\n\nExample 4\nInput:\nBrown Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Brown Orange
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Brown Orange Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Brown Orange Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Brown Orange Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Brown Orange Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Brown Orange Black Black Black Black Black Black Black Black Black Black
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Pink
Example 2
Input:
Orange Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Black Black Orange Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Orange Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Orange Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Orange Green
Black Black Black Black Black Black Black Black Green Black
Output:
Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Green Orange
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Orange Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Orange Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Orange Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Orange Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Output:
Orange Pink Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Black Orange
Example 4
Input:
Brown Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Brown Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Brown Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Brown Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Brown Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Brown Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Output:
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Gray Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 4
Input:
Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Here is the input grid for the test example:
Input:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
]
] | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
]
]
] | [
[
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Here is the input grid for the test example:
Input:
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black
Example 3
Input:
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Output:
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Pink Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Gray\nPink Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Pink Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Gray\nBlack Red Black Black Black Black Black Black Black Black\nBlack Gray Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Gray Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Gray Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Gray Red Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Pink Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Pink Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Pink Gray Black\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Pink\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Gray Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Gray Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nGray Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Red\nBlack Black Black Black Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Yellow Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Yellow Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Yellow Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Yellow Gray Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Pink Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Pink Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Gray
Pink Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Pink Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Black Black Gray Pink Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Black Gray Pink Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Gray
Black Red Black Black Black Black Black Black Black Black
Black Gray Red Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Gray Red Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Gray Red Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Gray Red Black
Example 3
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Pink Gray Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Pink Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Black Pink Gray Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Black Black Pink Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Black Black Pink Gray Black
Gray Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Pink
Black Gray Gray Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Gray Red Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Gray Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Gray Red Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Gray Red Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Red
Black Black Black Black Black Black Black Black Red Black
Here is the input grid for the test example:
Input:
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Yellow Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Yellow Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Yellow Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Yellow Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Yellow Gray Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
2,
0
]
],
[
[
0,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
5,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
5,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
5,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
5,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
5,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
]
] | [
[
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
5,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 4\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Example 2
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Example 4
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
]
] | [
[
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Yellow Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Pink Orange\nBlack Pink Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Red Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Red Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Red Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Red Purple Black\nBlack Black Black Black Black Black Black Purple Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nYellow Black Black Black Black Black Black Black Black Black Black Orange\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Yellow Black\n\nOutput:\nBlack Yellow Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Purple Red Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Red Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Red Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black Purple Black\nRed Black Black Black Black Black Black Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Orange Yellow Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Orange Yellow Black
Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Orange Yellow Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Orange Yellow Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Black Black Black Orange Yellow Black Black Black Black Black Black Black
Black Black Black Orange Orange Black Black Black Black Black Black Black
Output:
Black Black Yellow Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Yellow Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Yellow Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Yellow Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Yellow Red
Red Red Black Black Black Black Black Black Black Black Black Black
Yellow Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Pink Orange
Black Pink Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Black Black Black Pink
Output:
Black Black Black Black Black Red Purple Black Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Red Purple Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Red Purple Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Red Purple Black
Black Black Black Black Black Black Black Purple Black Black
Example 3
Input:
Orange Black Black Black Black Black Black Black Black Black Black Orange
Yellow Black Black Black Black Black Black Black Black Black Black Orange
Black Orange Orange Black Black Black Black Black Black Black Black Black
Black Orange Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Black Black Black Black Black Black Black
Black Black Black Orange Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Orange Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Orange Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Orange Yellow Black
Output:
Black Yellow Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Yellow
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Yellow Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Yellow Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Yellow Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Yellow Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Example 4
Input:
Black Black Pink Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black
Output:
Purple Black Black Black Black Black Black Black Black Black
Black Purple Red Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Purple Red Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Purple Red Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Purple Red Black
Black Black Black Black Black Black Black Black Purple Black
Red Black Black Black Black Black Black Black Black Purple
Here is the input grid for the test example:
Input:
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Brown
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
]
],
[
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0
]
],
[
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
2,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
2,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
2,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
]
],
[
[
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
]
] | [
[
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Brown\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlue Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 4\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Brown Brown Black Black Black Black Black Black Black Black Black Black
Brown Blue Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Brown Blue Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Blue Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Brown Blue Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Brown Blue Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Brown Blue
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Red Brown
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Blue Brown Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 4
Input:
Black Red Black Black Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Brown
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
``` | 8ee62060 | [
[
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Green Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown Green Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Green Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Green Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Green Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Brown Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Brown Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Brown Black\nRed Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black\nBrown Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Brown Red\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Brown Red Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Brown Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Brown Red Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 4\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nGreen Black Black Black Black Black Black Black Black Black Black Brown\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Brown Green Black Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Black Black Black Brown Green Black
Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Brown Green Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Brown Green Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Brown Green Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Red Black Black Black Black Black
Black Black Black Red Brown Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Red Brown Black Black Black
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Red Brown Black
Red Black Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Red
Black Black Red Black Black Black Black Black Black Black
Black Red Brown Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Red Black Black Black Black Black Black Black Black Black
Brown Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Brown Red
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Brown Red Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Brown Red Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Black Black Brown Red Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 4
Input:
Brown Black Black Black Black Black Black Black Black Black Black Brown
Green Black Black Black Black Black Black Black Black Black Black Brown
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Brown Green Black Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Brown Green Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Green Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Brown Green Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Brown Green Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
9,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
9,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
9,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
2
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
2,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
2,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
3,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Purple Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Purple Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Purple Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Purple Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Purple Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nPurple Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Pink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink\nBlack Black Black Black Black Black Black Black Pink Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nPurple Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Pink Gray\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Gray Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Pink Gray Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nPink Gray Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Purple Gray
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Purple Gray Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Purple Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Purple Gray Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Purple Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Purple Gray Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Gray Pink Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black
Black Black Gray Pink Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Gray Pink Black Black
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Gray Pink
Black Black Black Black Black Black Black Black Pink Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Purple Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Purple Gray Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Purple Gray Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Purple Gray Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Purple Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 4
Input:
Black Black Black Black Black Black Black Black Pink Gray
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Pink Gray Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Pink Gray Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Pink Gray Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Pink Gray Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Brown Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Black Black Gray Gray
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
]
],
[
[
8,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
6,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
6,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
6,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
6,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Blue\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Black Black Black Black\nYellow Pink Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Pink\n\nOutput:\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Blue\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Pink Blue
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Yellow Black Black Black Black Black Black Black Black
Yellow Pink Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Yellow Pink
Output:
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black
Pink Yellow Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Blue
Output:
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Orange
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nPink Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBrown Pink Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Pink Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Pink Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Pink Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Pink\nBlack Black Black Black Black Black Black Black Black Brown\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Pink
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Pink Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Brown Pink Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Brown Pink Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Brown Pink Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Brown Pink Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Brown Pink
Black Black Black Black Black Black Black Black Black Brown
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nGray Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Pink Blue\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Green Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nYellow Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Gray Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Gray Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Gray Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Gray Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Gray Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Gray\nBlack Black Black Black Black Black Black Black Black Black Green Green\n\n\nExample 4\nInput:\nBlack Pink Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Brown Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Yellow
Output:
Black Black Black Black Black Black Black Black Black Black Gray Green
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Gray Green Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Gray Green Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Gray Green Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Gray Green Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Gray Green Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Pink Blue
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black
Output:
Red Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Green Red
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Yellow Blue
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Yellow Blue Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Yellow Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Yellow Blue Black Black Black Black Black Black Black Black Black Black
Output:
Green Gray Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Green Gray Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Green Gray Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Green Gray Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Green Gray Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Green Gray
Black Black Black Black Black Black Black Black Black Black Green Green
Example 4
Input:
Black Pink Black Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Pink Blue
Output:
Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Green Green Black Black Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Brown Black
``` | 8ee62060 | [
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
3,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Black Pink\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Pink Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Yellow Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Yellow Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Yellow Black\nGray Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nBlack Black Black Yellow Pink Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Pink Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Pink Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Pink Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Red Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Pink Yellow Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Pink Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Pink Yellow Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Pink Yellow Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Pink
Yellow Black Black Black Black Black Black Black Black Black Black Yellow
Black Pink Yellow Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 2
Input:
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Gray Yellow Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Gray Yellow Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Yellow Black
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Gray Yellow Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Yellow Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Black Black Black Black Black Black
Black Gray Yellow Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Gray Yellow Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Gray Yellow Black Black Black
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Gray Yellow Black
Gray Black Black Black Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Black Black Black Yellow Pink Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black
Black Yellow Pink Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Yellow Pink Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Yellow Pink Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Black Yellow Pink Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Red Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Yellow Red Black
Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Yellow Red Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Yellow Red Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Yellow Red Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black
Black Yellow Red Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
6,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
6,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
5,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
5,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
5,
4,
0,
0,
0
]
],
[
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
4,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Brown Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Purple Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Purple Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Purple Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Purple Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Purple Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Purple Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Purple Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nGreen Purple Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Brown Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Brown Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Brown Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Brown\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Pink Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Brown Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Brown Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Brown Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Brown Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Brown Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Brown Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Green Purple Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Green Purple Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Green Purple Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Green Purple Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Green Purple
Black Black Black Black Black Black Black Black Black Green
Example 3
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Green Purple
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Green Purple Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Green Purple Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Green Purple Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Green Purple Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Purple Brown Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Purple Brown Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Brown Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Brown Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Brown Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Purple Brown
Black Black Black Black Black Black Black Black Black Black Purple Purple
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Purple Pink Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
8
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
8,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
8,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
8,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Here is the input grid for the test example:
Input:
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGray Green Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green\nBlack Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Pink Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Pink Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Pink Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nPink Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Gray Green\nBlack Gray Black Black Black Black Black Black Black Black\nGray Green Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\n\nOutput:\nRed Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red\n\n\nExample 4\nInput:\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nYellow Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Green Pink Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Green Pink Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Green Pink Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Green Pink Black Black
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Green Pink
Green Green Black Black Black Black Black Black Black Black Black Black
Green Pink Black Black Black Black Black Black Black Black Black Black
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Yellow Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Yellow Pink
Example 2
Input:
Black Black Black Black Black Black Gray Green Black Black
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Gray Green Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black
Black Black Gray Green Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Gray Green Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Green
Black Black Black Black Black Black Black Black Black Gray
Output:
Black Black Black Black Black Black Black Black Pink Red
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Pink Red Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Pink Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Pink Red Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Pink Red Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Gray Green Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Gray Green
Black Gray Black Black Black Black Black Black Black Black
Gray Green Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Black Black Gray Green Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Gray Green Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black
Output:
Red Pink Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Black Black Red
Example 4
Input:
Black Black Black Black Pink Green Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Pink Green Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black
Pink Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Pink Green
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Pink Green Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Pink Green Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Yellow Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Yellow Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
6
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
5,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
5,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
5,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
5,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
]
],
[
[
0,
0,
0,
0,
0,
0,
5,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
3
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
]
],
[
[
0,
0,
0,
0,
6,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
6,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
6,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
6,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
6,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Yellow Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Gray Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nBrown Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Brown Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Brown Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Brown Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Brown Green\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nOrange Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Brown\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Brown Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Brown Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Brown Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Brown Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nRed Orange Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Black Red\n\n\nExample 4\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Brown Yellow
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Brown Yellow Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Brown Yellow Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Yellow Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Brown Yellow Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Brown Yellow Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Output:
Orange Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Black Black Orange Orange
Example 2
Input:
Brown Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Black Black Brown Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Brown Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Brown Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Brown Green
Black Black Black Black Black Black Black Black Green Black
Output:
Black Black Black Black Black Black Black Black Orange Red
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Orange Red Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Orange Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Orange Red Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Orange Red Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Green Brown
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Brown Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Brown Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Brown Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Brown Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Output:
Red Orange Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Black Red
Example 4
Input:
Brown Brown Black Black Black Black Black Black Black Black Black Black
Brown Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Brown Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Brown Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Brown Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Brown Yellow
Output:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Orange Gray Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Pink Brown Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Pink Brown Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Black Black Black Black Black Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
4
]
]
] | [
[
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
7,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
7,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
7,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
7,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Black Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Brown Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Green Purple Purple Purple Purple Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Green Purple Purple Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Green Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Green\nPurple Purple Purple Purple Purple Purple Purple Purple Green Purple\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBrown Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Brown Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 4\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Green Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green\nPurple Purple Purple Purple Purple Purple Green Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Green Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Green Purple Purple Purple Purple\nPurple Purple Green Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Purple Purple Purple Purple Purple Purple\nGreen Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Green Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Black Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Brown Black Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Brown Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Brown Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Green Purple Purple Purple Purple Purple Purple Purple Purple
Green Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Green Purple Purple Purple Purple Purple Purple
Purple Purple Green Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Green Purple Purple Purple Purple
Purple Purple Purple Purple Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Green Purple Purple
Purple Purple Purple Purple Purple Purple Green Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Green
Purple Purple Purple Purple Purple Purple Purple Purple Green Purple
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Brown Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Brown Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Brown Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 4
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Green Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green
Purple Purple Purple Purple Purple Purple Green Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Green Purple Purple
Purple Purple Purple Purple Green Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Green Purple Purple Purple Purple
Purple Purple Green Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Green Purple Purple Purple Purple Purple Purple
Green Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Green Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
``` | 8ee62060 | [
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
9,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
9,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
9,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
9,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
9,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
9,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
0,
3,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
3,
8,
8,
8,
8,
8,
8
],
[
8,
8,
3,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
3,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
3,
8,
8
],
[
8,
8,
8,
8,
8,
8,
3,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
3
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
8
]
],
[
[
9,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
9,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
9,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
9,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
9,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
9,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
0
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
3
],
[
8,
8,
8,
8,
8,
8,
3,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
3,
8,
8
],
[
8,
8,
8,
8,
3,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
3,
8,
8,
8,
8
],
[
8,
8,
3,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
3,
8,
8,
8,
8,
8,
8
],
[
3,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
3,
8,
8,
8,
8,
8,
8,
8,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
7,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
7,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
7,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
7,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
7,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
0
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 4\nInput:\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 4
Input:
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Red Black
``` | 8ee62060 | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
]
]
] | [
[
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Green Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Yellow\nOrange Orange Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Yellow Orange Orange\nOrange Orange Orange Orange Yellow Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Yellow Orange Orange Orange Orange\nOrange Orange Yellow Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Yellow Orange Orange Orange Orange Orange Orange\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Yellow Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Yellow Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Green Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Green Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Green Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Green Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\n\n\nExample 4\nInput:\nGreen Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Yellow\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Yellow Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Blue Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Blue Green Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Blue Green Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Green Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Blue Green Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Green
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green
Output:
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Green
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Green Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Green Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Green Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Green Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Yellow
Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Yellow Orange Orange
Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Yellow Orange Orange Orange Orange
Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Yellow Orange Orange Orange Orange Orange Orange
Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Yellow Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Blue Yellow Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Yellow Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Yellow Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Yellow Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Yellow
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green
Orange Orange Orange Orange Orange Orange Orange Orange Green Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange
Orange Orange Orange Orange Orange Orange Green Blue Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange
Orange Orange Orange Orange Green Blue Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange
Orange Orange Green Blue Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange
Green Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Green Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Green Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Green Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Green Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Green Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Green Yellow
Example 4
Input:
Green Yellow Orange Orange Orange Orange Orange Orange Orange Orange
Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Yellow Orange Orange Orange Orange Orange Orange
Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Yellow Orange Orange Orange Orange
Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Yellow Orange Orange
Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Yellow
Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Yellow
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Yellow Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Yellow Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Yellow Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Yellow Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
``` | 8ee62060 | [
[
[
1,
3,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
3,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
3,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
3,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
3,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
3,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
3,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
3,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
3,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
3,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
3
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
3
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
4,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
4
],
[
7,
7,
7,
7,
7,
7,
4,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
4,
7,
7
],
[
7,
7,
7,
7,
4,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
4,
7,
7,
7,
7
],
[
7,
7,
4,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
4,
7,
7,
7,
7,
7,
7
],
[
4,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
4,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
1
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
3
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
3,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
3,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
3,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
3,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
1,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
3,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
3,
4,
7,
7,
7,
7,
7,
7,
7,
7
],
[
4,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
4,
7,
7,
7,
7,
7,
7
],
[
7,
7,
4,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
4,
7,
7,
7,
7
],
[
7,
7,
7,
7,
4,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
4,
7,
7
],
[
7,
7,
7,
7,
7,
7,
4,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
4
],
[
7,
7,
7,
7,
7,
7,
7,
7,
4,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
4
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
4,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
4,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
4,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
3
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
6,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
3,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
6,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
3,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
6,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
3,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
6,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
3,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
6,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
3,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
6,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 4\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Black Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Example 4
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
``` | 8ee62060 | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nOrange Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Pink Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Pink Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Pink Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Pink Purple
Black Black Black Black Black Black Black Black Purple Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Purple Pink Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Orange Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Gray Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Yellow Purple\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Yellow Purple Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Yellow Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Yellow Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nYellow Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 4\nInput:\nYellow Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Purple\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Pink Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Yellow Purple
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Yellow Purple Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Yellow Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Yellow Purple Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Yellow Purple Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Yellow Pink
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Pink Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 4
Input:
Yellow Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Black Black Yellow Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Yellow Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Yellow Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Yellow Purple
Black Black Black Black Black Black Black Black Purple Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
8
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
8,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
8,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Pink Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Pink Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Brown Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Brown Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Brown Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Brown Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Yellow Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nPink Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\n\nOutput:\nYellow Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nOrange Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Brown Black Black Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Pink Brown Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Pink Brown Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Pink Brown Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Pink Brown Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Pink Brown Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Green Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Green Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Green Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Green Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Green Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Brown Yellow Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Brown Yellow Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Black Brown Yellow Black
Black Black Black Black Black Black Black Yellow Black Black
Yellow Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Black Black Black Yellow
Black Brown Yellow Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Output:
Orange Black Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Yellow Orange
Example 3
Input:
Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Black Black Black Black Brown Brown
Pink Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Pink Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Output:
Yellow Green Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Green Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Green Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Green Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Green Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Green
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Here is the input grid for the test example:
Input:
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Orange Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Blue Black
``` | 8ee62060 | [
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
9,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
9,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
]
] | [
[
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Black Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Green Green\nGreen Green Green Green Green Green Black Orange Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Black Orange Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Green Green Green Green\nGreen Green Black Orange Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Green Green Green Green Green Green Green Green\nBlack Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Green Green Green Green Green Green Green Green Green\nOrange Yellow Green Green Green Green Green Green Green Green\nGreen Green Yellow Green Green Green Green Green Green Green\nGreen Green Orange Yellow Green Green Green Green Green Green\nGreen Green Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Orange Yellow Green Green Green Green\nGreen Green Green Green Green Green Yellow Green Green Green\nGreen Green Green Green Green Green Orange Yellow Green Green\nGreen Green Green Green Green Green Green Green Yellow Green\nGreen Green Green Green Green Green Green Green Orange Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Orange Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Green Green Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Black Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Black Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Black Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Orange Black Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Black\nGreen Green Green Green Green Green Green Green Green Green Orange Orange\n\n\nExample 4\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Blue\n\nOutput:\nGreen Green Green Green Green Green Green Green Orange Yellow\nGreen Green Green Green Green Green Green Green Yellow Green\nGreen Green Green Green Green Green Orange Yellow Green Green\nGreen Green Green Green Green Green Yellow Green Green Green\nGreen Green Green Green Orange Yellow Green Green Green Green\nGreen Green Green Green Yellow Green Green Green Green Green\nGreen Green Orange Yellow Green Green Green Green Green Green\nGreen Green Yellow Green Green Green Green Green Green Green\nOrange Yellow Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Green Green Green Green Green Green Green Green Green Green\nGray Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Green Green Green Green Green Green Green Green\nGreen Green Gray Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Gray Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Gray Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Gray Green\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Orange Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Orange Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Orange Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Orange Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Orange
Output:
Green Green Green Green Green Green Green Green Green Green Black Orange
Green Green Green Green Green Green Green Green Green Green Orange Orange
Green Green Green Green Green Green Green Green Black Orange Green Green
Green Green Green Green Green Green Green Green Orange Orange Green Green
Green Green Green Green Green Green Black Orange Green Green Green Green
Green Green Green Green Green Green Orange Orange Green Green Green Green
Green Green Green Green Black Orange Green Green Green Green Green Green
Green Green Green Green Orange Orange Green Green Green Green Green Green
Green Green Black Orange Green Green Green Green Green Green Green Green
Green Green Orange Orange Green Green Green Green Green Green Green Green
Black Orange Green Green Green Green Green Green Green Green Green Green
Orange Orange Green Green Green Green Green Green Green Green Green Green
Example 2
Input:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Output:
Yellow Green Green Green Green Green Green Green Green Green
Orange Yellow Green Green Green Green Green Green Green Green
Green Green Yellow Green Green Green Green Green Green Green
Green Green Orange Yellow Green Green Green Green Green Green
Green Green Green Green Yellow Green Green Green Green Green
Green Green Green Green Orange Yellow Green Green Green Green
Green Green Green Green Green Green Yellow Green Green Green
Green Green Green Green Green Green Orange Yellow Green Green
Green Green Green Green Green Green Green Green Yellow Green
Green Green Green Green Green Green Green Green Orange Yellow
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Orange Blue
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Orange Blue Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Orange Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Orange Blue Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Orange Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Orange Blue Black Black Black Black Black Black Black Black Black Black
Output:
Orange Black Green Green Green Green Green Green Green Green Green Green
Orange Orange Green Green Green Green Green Green Green Green Green Green
Green Green Orange Black Green Green Green Green Green Green Green Green
Green Green Orange Orange Green Green Green Green Green Green Green Green
Green Green Green Green Orange Black Green Green Green Green Green Green
Green Green Green Green Orange Orange Green Green Green Green Green Green
Green Green Green Green Green Green Orange Black Green Green Green Green
Green Green Green Green Green Green Orange Orange Green Green Green Green
Green Green Green Green Green Green Green Green Orange Black Green Green
Green Green Green Green Green Green Green Green Orange Orange Green Green
Green Green Green Green Green Green Green Green Green Green Orange Black
Green Green Green Green Green Green Green Green Green Green Orange Orange
Example 4
Input:
Black Red Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Blue
Output:
Green Green Green Green Green Green Green Green Orange Yellow
Green Green Green Green Green Green Green Green Yellow Green
Green Green Green Green Green Green Orange Yellow Green Green
Green Green Green Green Green Green Yellow Green Green Green
Green Green Green Green Orange Yellow Green Green Green Green
Green Green Green Green Yellow Green Green Green Green Green
Green Green Orange Yellow Green Green Green Green Green Green
Green Green Yellow Green Green Green Green Green Green Green
Orange Yellow Green Green Green Green Green Green Green Green
Yellow Green Green Green Green Green Green Green Green Green
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Orange Orange Green Green Green Green Green Green Green Green Green Green
Gray Green Green Green Green Green Green Green Green Green Green Green
Green Green Orange Orange Green Green Green Green Green Green Green Green
Green Green Gray Green Green Green Green Green Green Green Green Green
Green Green Green Green Orange Orange Green Green Green Green Green Green
Green Green Green Green Gray Green Green Green Green Green Green Green
Green Green Green Green Green Green Orange Orange Green Green Green Green
Green Green Green Green Green Green Gray Green Green Green Green Green
Green Green Green Green Green Green Green Green Orange Orange Green Green
Green Green Green Green Green Green Green Green Gray Green Green Green
Green Green Green Green Green Green Green Green Green Green Orange Orange
Green Green Green Green Green Green Green Green Green Green Gray Green
``` | 8ee62060 | [
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
]
] | [
[
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
0,
7
],
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
7
],
[
3,
3,
3,
3,
3,
3,
3,
3,
0,
7,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
7,
3,
3
],
[
3,
3,
3,
3,
3,
3,
0,
7,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
7,
7,
3,
3,
3,
3
],
[
3,
3,
3,
3,
0,
7,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
7,
7,
3,
3,
3,
3,
3,
3
],
[
3,
3,
0,
7,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
7,
7,
3,
3,
3,
3,
3,
3,
3,
3
],
[
0,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
7,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
]
],
[
[
4,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
7,
4,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
4,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
7,
4,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
4,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
7,
4,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
4,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
7,
4,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
4,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
4
]
],
[
[
7,
0,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
7,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
7,
0,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
7,
7,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
7,
0,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
7,
7,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
7,
0,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
7,
7,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
0,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
7,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
0
],
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
7
]
],
[
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
4
],
[
3,
3,
3,
3,
3,
3,
3,
3,
4,
3
],
[
3,
3,
3,
3,
3,
3,
7,
4,
3,
3
],
[
3,
3,
3,
3,
3,
3,
4,
3,
3,
3
],
[
3,
3,
3,
3,
7,
4,
3,
3,
3,
3
],
[
3,
3,
3,
3,
4,
3,
3,
3,
3,
3
],
[
3,
3,
7,
4,
3,
3,
3,
3,
3,
3
],
[
3,
3,
4,
3,
3,
3,
3,
3,
3,
3
],
[
7,
4,
3,
3,
3,
3,
3,
3,
3,
3
],
[
4,
3,
3,
3,
3,
3,
3,
3,
3,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
7,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
7,
7,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
7,
7,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
7,
7,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
7,
7,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3
],
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
7
],
[
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Green Blue Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Blue Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Green Blue Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green Blue Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Blue Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Green Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Green Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Green Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nOrange Black Black Black Black Black Black Black Black Green\n\nOutput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Blue\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Blue Black Black Black Black\n\nOutput:\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Orange Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Orange Green Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Green Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Green Black Black Black\n\nOutput:\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Green Blue Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black
Black Black Black Green Blue Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black
Black Green Blue Black Black Black Black Black Black Black Black Black
Black Green Green Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Green
Green Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Green Blue Black
Black Black Black Black Black Black Black Black Black Green Green Black
Black Black Black Black Black Black Black Green Blue Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Black Orange
Black Green Orange Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Black Black Black Green Orange Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Green Orange Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Green Orange Black
Black Black Black Black Black Black Black Orange Black Black
Orange Black Black Black Black Black Black Black Black Green
Output:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Green Blue Black Black
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Green Blue
Green Green Black Black Black Black Black Black Black Black Black Black
Green Blue Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Green Blue Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Green Blue Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Green Blue Black Black Black Black
Output:
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Orange Green Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Orange Green Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Green Black
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Orange Green Black Black Black
Output:
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Yellow Green Black
Black Black Black Black Black Black Black Black Black Black Green Black
Green Black Black Black Black Black Black Black Black Black Black Yellow
Green Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Green Black Black Black Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Green Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Green Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Green Black Black Black
Black Black Black Black Black Black Black Black Green Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
3,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
3,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
1
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
1,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
7,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
7,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
7,
3,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown\n\nOutput:\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Yellow\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Yellow Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Yellow Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGray Yellow Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\n\nExample 4\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nGray Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Gray Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Gray Yellow\n\nOutput:\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Brown
Output:
Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Gray Yellow
Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Gray Yellow Black Black
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Gray Yellow Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black
Black Black Gray Yellow Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Gray Yellow Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Brown Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Brown Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Brown Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Brown Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Brown Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Brown Yellow Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Example 4
Input:
Black Gray Black Black Black Black Black Black Black Black
Gray Yellow Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Black Black Gray Yellow Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Gray Yellow Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Gray Yellow Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Gray Yellow
Output:
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
5,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
5,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
5,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
5,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
4
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
]
],
[
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
]
],
[
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Red Purple Black\nPurple Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Red\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Red Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Red Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Red Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Red Purple Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Purple Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Purple Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Purple Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Purple Orange Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Purple Black\nBlack Black Black Black Black Black Black Black Orange Black\nPurple Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black\nBlack Orange Purple Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Purple Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Black Black Red Purple Black
Purple Black Black Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Red
Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Red Purple Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Red Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Black Black Black
Black Black Black Black Black Black Black Red Purple Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Orange Black Black Black Black Black Black
Black Purple Orange Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Purple Orange Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Purple Orange Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Purple Orange Black Black Black Black Black
Example 3
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Red Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Orange Purple Black
Black Black Black Black Black Black Black Black Orange Black
Purple Black Black Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black
Black Orange Purple Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Orange Purple Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Orange Purple Black Black Black
Black Black Black Black Black Black Orange Black Black Black
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Green Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0
]
],
[
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
8,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
8,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
8,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
8,
7,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
7,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Orange Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Orange Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Orange Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Orange Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Orange Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Gray Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Gray Brown\nBlack Black Black Black Black Black Black Black Brown Black\nGray Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Brown Gray Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Brown Gray Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Brown Gray Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nOrange Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nGray Black Black Black Black Black Black Black Black Black Black Gray\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Orange Gray Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Orange Gray Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Orange Gray Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Black Black Orange Gray Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Black Black Orange Gray Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Gray Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Gray Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Gray Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Gray Brown
Black Black Black Black Black Black Black Black Brown Black
Gray Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Output:
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Example 3
Input:
Black Black Black Brown Gray Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Brown Gray Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Gray Black
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Brown Gray Black Black Black
Black Black Black Black Black Black Brown Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray
Orange Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Output:
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Yellow
Gray Black Black Black Black Black Black Black Black Black Black Gray
Black Yellow Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
5,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
5,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
9,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
9,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
9,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
]
]
] | [
[
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Brown\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Brown\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Green\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Green Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Green Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Green Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Green Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Green Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Purple Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Green Brown Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Green Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Green Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Green Brown Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Green Brown
Black Black Black Black Black Black Black Black Black Black Brown Brown
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Red Brown
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Black Red Black Black Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Brown
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Brown Green
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Brown Green Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Brown Green Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Green Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Brown Green Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Brown Green Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Brown Purple
Black Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Brown Purple Black Black
Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Brown Purple Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Brown Purple Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Brown Purple Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black
Brown Purple Black Black Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
3,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nOrange Red Orange Orange Orange Orange Orange Orange Orange Orange\nRed Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Orange Orange Orange Orange Orange Orange\nOrange Orange Red Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Red Orange Orange Orange Orange\nOrange Orange Orange Orange Red Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Red Orange Orange\nOrange Orange Orange Orange Orange Orange Red Brown Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Red\nOrange Orange Orange Orange Orange Orange Orange Orange Red Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Red Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Red\nOrange Orange Orange Orange Orange Orange Red Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Red Orange Orange\nOrange Orange Orange Orange Red Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Red Orange Orange Orange Orange\nOrange Orange Red Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Brown Red Orange Orange Orange Orange Orange Orange\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Red Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBrown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Brown Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown
Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange
Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange
Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange
Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange
Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Orange Red Orange Orange Orange Orange Orange Orange Orange Orange
Red Brown Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Red Orange Orange Orange Orange Orange Orange
Orange Orange Red Brown Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Red Orange Orange Orange Orange
Orange Orange Orange Orange Red Brown Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Red Orange Orange
Orange Orange Orange Orange Orange Orange Red Brown Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Red
Orange Orange Orange Orange Orange Orange Orange Orange Red Brown
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Red Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Red
Orange Orange Orange Orange Orange Orange Red Orange Orange Orange
Orange Orange Orange Orange Orange Orange Brown Red Orange Orange
Orange Orange Orange Orange Red Orange Orange Orange Orange Orange
Orange Orange Orange Orange Brown Red Orange Orange Orange Orange
Orange Orange Red Orange Orange Orange Orange Orange Orange Orange
Orange Orange Brown Red Orange Orange Orange Orange Orange Orange
Red Orange Orange Orange Orange Orange Orange Orange Orange Orange
Brown Red Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Here is the input grid for the test example:
Input:
Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Brown Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Brown Black Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Brown Black Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Brown Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
9
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
5,
9
],
[
7,
7,
7,
7,
7,
7,
7,
7,
9,
9,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
9,
7,
7
],
[
7,
7,
7,
7,
7,
7,
9,
9,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
9,
7,
7,
7,
7
],
[
7,
7,
7,
7,
9,
9,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
9,
7,
7,
7,
7,
7,
7
],
[
7,
7,
9,
9,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
9,
7,
7,
7,
7,
7,
7,
7,
7
],
[
9,
9,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
5,
9,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
7,
2,
7,
7,
7,
7,
7,
7,
7,
7
],
[
2,
9,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
2,
7,
7,
7,
7,
7,
7
],
[
7,
7,
2,
9,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
2,
7,
7,
7,
7
],
[
7,
7,
7,
7,
2,
9,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
2,
7,
7
],
[
7,
7,
7,
7,
7,
7,
2,
9,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
2
],
[
7,
7,
7,
7,
7,
7,
7,
7,
2,
9
]
],
[
[
5,
9,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
9,
9,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
9,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
9,
9,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
9,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
9,
9,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
9,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
9,
9,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
9,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
9,
9,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
5,
9
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
9
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
2,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
9,
2
],
[
7,
7,
7,
7,
7,
7,
2,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
9,
2,
7,
7
],
[
7,
7,
7,
7,
2,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
9,
2,
7,
7,
7,
7
],
[
7,
7,
2,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
9,
2,
7,
7,
7,
7,
7,
7
],
[
2,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
9,
2,
7,
7,
7,
7,
7,
7,
7,
7
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
]
] | [
[
[
9,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
9,
0,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
9,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
9,
0,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
9,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
9,
0,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
9,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
9,
0,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
9,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
9,
0,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Red Green Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Red Green Black
Red Black Black Black Black Black Black Black Black Black Black Red
Green Black Black Black Black Black Black Black Black Black Black Red
Black Red Red Black Black Black Black Black Black Black Black Black
Black Red Green Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Output:
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Example 3
Input:
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Example 4
Input:
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Output:
Black Red Red Black Black Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Green Red Black
Red Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Green
Here is the input grid for the test example:
Input:
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
]
],
[
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
]
],
[
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
]
] | [
[
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Gray Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nPink Orange Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nExample 2\nInput:\nGray Blue Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue\nOrange Orange Orange Orange Orange Orange Blue Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Orange\nOrange Orange Orange Orange Blue Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Blue Orange Orange Orange Orange\nOrange Orange Blue Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nBlue Gray Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nPink Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Pink Purple\n\n\nExample 4\nInput:\nGreen Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Gray Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Gray
Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Gray Orange Orange
Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Gray Orange Orange Orange Orange
Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Gray Orange Orange Orange Orange Orange Orange
Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Gray Orange Orange Orange Orange Orange Orange Orange Orange
Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Pink Orange Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Black Black Pink Pink
Example 2
Input:
Gray Blue Orange Orange Orange Orange Orange Orange Orange Orange
Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Gray Blue Orange Orange Orange Orange Orange Orange
Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Gray Blue Orange Orange Orange Orange
Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Blue Orange Orange
Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Gray Blue
Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange
Output:
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Purple Pink Black Black Black Black Black Black Black Black
Example 3
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Blue Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue
Orange Orange Orange Orange Orange Orange Blue Gray Orange Orange
Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange
Orange Orange Orange Orange Blue Gray Orange Orange Orange Orange
Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange
Orange Orange Blue Gray Orange Orange Orange Orange Orange Orange
Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange
Blue Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Purple Black Black Black Black Black Black Black Black Black
Pink Purple Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Pink Purple Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Pink Purple Black Black
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Pink Purple
Example 4
Input:
Green Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Green Gray Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Green Gray Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Green Gray Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
5,
5
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
5
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
5,
5,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
3,
5,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
5,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
1
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
7
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
5
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
1
],
[
7,
7,
7,
7,
7,
7,
1,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
1,
7,
7
],
[
7,
7,
7,
7,
1,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
1,
7,
7,
7,
7
],
[
7,
7,
1,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
1,
7,
7,
7,
7,
7,
7
],
[
1,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
1,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
3,
5,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
5,
5,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
3,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
3,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
3,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
3,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
5
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
5,
5
]
]
] | [
[
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
8
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
5,
5,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
6,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
5,
5,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
6,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
5,
5,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
6,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
5,
5,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
6,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
5,
5,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
6,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
5,
5
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Red Red Red Red Red Red Red Red Red Red\nPurple Black Red Red Red Red Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red Red Red\nRed Red Purple Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Purple Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Red Red Purple Black Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Red Red Purple Black Red Red\nRed Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Black Gray\nRed Red Red Red Red Red Red Red Gray Red\nRed Red Red Red Red Red Black Gray Red Red\nRed Red Red Red Red Red Gray Red Red Red\nRed Red Red Red Black Gray Red Red Red Red\nRed Red Red Red Gray Red Red Red Red Red\nRed Red Black Gray Red Red Red Red Red Red\nRed Red Gray Red Red Red Red Red Red Red\nBlack Gray Red Red Red Red Red Red Red Red\nGray Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nGray Black Red Red Red Red Red Red Red Red\nRed Gray Red Red Red Red Red Red Red Red\nRed Red Gray Black Red Red Red Red Red Red\nRed Red Red Gray Red Red Red Red Red Red\nRed Red Red Red Gray Black Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Red Gray Black Red Red\nRed Red Red Red Red Red Red Gray Red Red\nRed Red Red Red Red Red Red Red Gray Black\nRed Red Red Red Red Red Red Red Red Gray\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Purple Black\nRed Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Purple Black Red Red\nRed Red Red Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Purple Black Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Purple Black Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red\nRed Red Purple Black Red Red Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red Red Red\nPurple Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Yellow Red\nRed Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Yellow Red Red Red\nRed Red Red Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Yellow Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Yellow Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red\nRed Red Yellow Red Red Red Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red Red Red\nYellow Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Red Red Red Red Red Red Red Red Red Red
Purple Black Red Red Red Red Red Red Red Red Red Red
Red Red Black Black Red Red Red Red Red Red Red Red
Red Red Purple Black Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Red Red
Red Red Red Red Purple Black Red Red Red Red Red Red
Red Red Red Red Red Red Black Black Red Red Red Red
Red Red Red Red Red Red Purple Black Red Red Red Red
Red Red Red Red Red Red Red Red Black Black Red Red
Red Red Red Red Red Red Red Red Purple Black Red Red
Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Purple Black
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Red Red Red Red Red Red Red Red Black Gray
Red Red Red Red Red Red Red Red Gray Red
Red Red Red Red Red Red Black Gray Red Red
Red Red Red Red Red Red Gray Red Red Red
Red Red Red Red Black Gray Red Red Red Red
Red Red Red Red Gray Red Red Red Red Red
Red Red Black Gray Red Red Red Red Red Red
Red Red Gray Red Red Red Red Red Red Red
Black Gray Red Red Red Red Red Red Red Red
Gray Red Red Red Red Red Red Red Red Red
Example 3
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Gray Black Red Red Red Red Red Red Red Red
Red Gray Red Red Red Red Red Red Red Red
Red Red Gray Black Red Red Red Red Red Red
Red Red Red Gray Red Red Red Red Red Red
Red Red Red Red Gray Black Red Red Red Red
Red Red Red Red Red Gray Red Red Red Red
Red Red Red Red Red Red Gray Black Red Red
Red Red Red Red Red Red Red Gray Red Red
Red Red Red Red Red Red Red Red Gray Black
Red Red Red Red Red Red Red Red Red Gray
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Red Red Red Red Red Red Red Red Purple Black
Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Purple Black Red Red
Red Red Red Red Red Red Red Red Black Black Red Red
Red Red Red Red Red Red Purple Black Red Red Red Red
Red Red Red Red Red Red Black Black Red Red Red Red
Red Red Red Red Purple Black Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Red Red
Red Red Purple Black Red Red Red Red Red Red Red Red
Red Red Black Black Red Red Red Red Red Red Red Red
Purple Black Red Red Red Red Red Red Red Red Red Red
Black Black Red Red Red Red Red Red Red Red Red Red
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Red Red Red Red Red Red Red Red Yellow Red
Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Yellow Red Red Red
Red Red Red Red Red Red Red Red Black Black Red Red
Red Red Red Red Red Red Yellow Red Red Red Red Red
Red Red Red Red Red Red Black Black Red Red Red Red
Red Red Red Red Yellow Red Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Red Red
Red Red Yellow Red Red Red Red Red Red Red Red Red
Red Red Black Black Red Red Red Red Red Red Red Red
Yellow Red Red Red Red Red Red Red Red Red Red Red
Black Black Red Red Red Red Red Red Red Red Red Red
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
],
[
8,
0,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
0,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
8,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
0,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
8,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
0,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
8,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
0,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
8,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
0,
0
],
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
8,
0
]
],
[
[
2,
2,
2,
2,
2,
2,
2,
2,
0,
5
],
[
2,
2,
2,
2,
2,
2,
2,
2,
5,
2
],
[
2,
2,
2,
2,
2,
2,
0,
5,
2,
2
],
[
2,
2,
2,
2,
2,
2,
5,
2,
2,
2
],
[
2,
2,
2,
2,
0,
5,
2,
2,
2,
2
],
[
2,
2,
2,
2,
5,
2,
2,
2,
2,
2
],
[
2,
2,
0,
5,
2,
2,
2,
2,
2,
2
],
[
2,
2,
5,
2,
2,
2,
2,
2,
2,
2
],
[
0,
5,
2,
2,
2,
2,
2,
2,
2,
2
],
[
5,
2,
2,
2,
2,
2,
2,
2,
2,
2
]
],
[
[
5,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
5,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
5,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
5,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
5,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
5,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
5,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
5,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
5,
0
],
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
5
]
],
[
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
8,
0
],
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
0,
0
],
[
2,
2,
2,
2,
2,
2,
2,
2,
8,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
0,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
8,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
0,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
8,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
0,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
8,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
0,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
8,
0,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
],
[
0,
0,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
0,
0
],
[
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
2,
2,
0,
0,
2,
2
],
[
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
2,
2,
0,
0,
2,
2,
2,
2
],
[
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
2,
2,
0,
0,
2,
2,
2,
2,
2,
2
],
[
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2
],
[
2,
2,
0,
0,
2,
2,
2,
2,
2,
2,
2,
2
],
[
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
],
[
0,
0,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Brown\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Brown Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Brown Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Brown Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Brown Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black\nOrange Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Orange Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Orange Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Orange Green Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Orange Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBrown Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Brown Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Orange\n\n\nExample 4\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Orange Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Orange Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Orange Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nOrange Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlue Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Blue Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Blue Orange\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Brown
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Orange Brown Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Orange Brown Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Orange Brown Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Orange Brown Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Output:
Green Black Black Black Black Black Black Black Black Black
Orange Green Black Black Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Orange Green Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Orange Green Black Black Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Orange Green Black Black
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Orange Green
Example 3
Input:
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Output:
Orange Orange Black Black Black Black Black Black Black Black Black Black
Brown Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Brown Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Brown Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Brown Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Brown Orange Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Brown Orange
Example 4
Input:
Black Black Black Black Blue Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Orange Green
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Orange Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Orange Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Orange Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Orange Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Purple Red Black Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Purple Red Black Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Purple Red Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Purple Red Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Purple Red Black
Black Black Black Black Black Black Black Black Black Black Red Black
Red Black Black Black Black Black Black Black Black Black Black Purple
Red Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Orange Black Black Black Black Black Black Black Black Black Black
Blue Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Blue Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Blue Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Blue Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Blue Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Black Blue Orange
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
3
]
],
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
7,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
7,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
7,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
7,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
7
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Red Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
]
] | [
[
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown\nBlack Black Black Black Black Black Black Black Brown Black\nRed Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Brown Black Black Black Black Black Black\nBrown Red Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Red\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Brown Red Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Red Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Blue Black Black Black\n\n\nExample 4\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nRed Black Black Black Black Black Black Black Black Black Black Green\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlue Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Output:
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Example 2
Input:
Black Black Red Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Red Brown
Black Black Black Black Black Black Black Black Brown Black
Red Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Example 3
Input:
Black Black Black Brown Black Black Black Black Black Black
Brown Red Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Red
Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Brown Red Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Brown Red Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Brown Red Black Black Black Black Black Black
Output:
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Red Blue Black Black Black
Example 4
Input:
Red Black Black Black Black Black Black Black Black Black Black Red
Black Green Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Red Black Black Black Black Black Black Black Black Black Black Green
Output:
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Red Green Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Black Black Red Red Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Red Red
Blue Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
9,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
9,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
9,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
9,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
]
] | [
[
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
]
],
[
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Gray\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nRed Black Black Black Black Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\n\nExample 3\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Gray Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Blue Gray Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Gray Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Gray Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Gray Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Gray Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Gray
Blue Blue Black Black Black Black Black Black Black Black Black Black
Output:
Red Black Black Black Black Black Black Black Black Black Black Green
Black Red Red Black Black Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Green Red Black
Red Black Black Black Black Black Black Black Black Black Black Red
Example 2
Input:
Black Black Red Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Output:
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Example 3
Input:
Red Blue Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Blue
Black Red Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Example 4
Input:
Gray Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Gray Blue
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Gray Blue Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Gray Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Gray Blue Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Gray Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
``` | 8ee62060 | [
[
[
1,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
5
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Blue\n\nOutput:\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Pink\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Blue
Output:
Black Black Black Red Green Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Red Green Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Green Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Example 3
Input:
Black Orange Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Orange Pink
Output:
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
``` | 8ee62060 | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlue Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Brown Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Brown Orange\nBlack Black Black Black Black Black Black Black Orange Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Orange Brown\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Brown Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Brown Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Brown Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Blue Brown Black Black Black Black Black Black Black Black Black Black
Output:
Black Green Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Green Red Black
Red Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Green
Black Red Red Black Black Black Black Black Black Black Black Black
Example 2
Input:
Brown Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Black Black Brown Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Brown Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Brown Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Brown Orange
Black Black Black Black Black Black Black Black Orange Black
Output:
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Example 3
Input:
Blue Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Black Black Brown Brown
Output:
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Green
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Orange Brown
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Orange Brown Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Brown Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Orange Brown Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Output:
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Pink Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
]
],
[
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
7,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
7,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
7,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
7,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Yellow Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Yellow Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Yellow Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nYellow Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Gray\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Gray Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Gray Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Gray Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Gray Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nYellow Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Yellow Gray
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Yellow Gray Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Yellow Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Yellow Gray Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Yellow Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Yellow Gray Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Gray Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Black Black Gray Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Gray Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Gray Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Gray Green
Black Black Black Black Black Black Black Black Green Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Green Gray
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Gray Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Gray Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Gray Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Gray Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Yellow Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Gray Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Gray Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Gray Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Gray Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Orange Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Gray Gray
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Red Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 2
Input:
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Blue Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Black Black Blue Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Red Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Here is the input grid for the test example:
Input:
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
]
] | [
[
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Brown Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray\nGray Gray Gray Gray Gray Gray Yellow Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Yellow Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Green Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Green Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Green Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Green\n\n\nExample 3\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBrown Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Yellow Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Yellow Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Yellow Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Brown Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Gray Brown Green Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray\nGray Gray Gray Gray Brown Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray\nGray Gray Brown Green Gray Gray Gray Gray Gray Gray\nGray Gray Green Gray Gray Gray Gray Gray Gray Gray\nBrown Green Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Brown
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown
Gray Gray Gray Gray Gray Gray Gray Gray Yellow Brown Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray
Gray Gray Gray Gray Gray Gray Yellow Brown Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Yellow Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Yellow Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Green Gray Gray Gray Gray Gray Gray Gray Gray Gray
Brown Green Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Green Gray Gray Gray Gray Gray Gray Gray
Gray Gray Brown Green Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Green Gray Gray Gray Gray Gray
Gray Gray Gray Gray Brown Green Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Green Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Green Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Green Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Green
Example 3
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Brown Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Brown Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Brown Yellow Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Yellow Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Yellow Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Gray Gray Gray Gray Gray Gray Gray Gray Brown Green
Gray Gray Gray Gray Gray Gray Gray Gray Green Gray
Gray Gray Gray Gray Gray Gray Brown Green Gray Gray
Gray Gray Gray Gray Gray Gray Green Gray Gray Gray
Gray Gray Gray Gray Brown Green Gray Gray Gray Gray
Gray Gray Gray Gray Green Gray Gray Gray Gray Gray
Gray Gray Brown Green Gray Gray Gray Gray Gray Gray
Gray Gray Green Gray Gray Gray Gray Gray Gray Gray
Brown Green Gray Gray Gray Gray Gray Gray Gray Gray
Green Gray Gray Gray Gray Gray Gray Gray Gray Gray
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
4,
9
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
9
],
[
5,
5,
5,
5,
5,
5,
5,
5,
4,
9,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
9,
5,
5
],
[
5,
5,
5,
5,
5,
5,
4,
9,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
9,
9,
5,
5,
5,
5
],
[
5,
5,
5,
5,
4,
9,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
9,
9,
5,
5,
5,
5,
5,
5
],
[
5,
5,
4,
9,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
9,
9,
5,
5,
5,
5,
5,
5,
5,
5
],
[
4,
9,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
9,
9,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
]
],
[
[
3,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
9,
3,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
3,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
9,
3,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
3,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
9,
3,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
3,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
9,
3,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
3,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
3
]
],
[
[
9,
4,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
9,
9,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
9,
4,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
9,
9,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
9,
4,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
9,
9,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
9,
4,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
9,
9,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
4,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
9,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
4
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
9
]
],
[
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
3
],
[
5,
5,
5,
5,
5,
5,
5,
5,
3,
5
],
[
5,
5,
5,
5,
5,
5,
9,
3,
5,
5
],
[
5,
5,
5,
5,
5,
5,
3,
5,
5,
5
],
[
5,
5,
5,
5,
9,
3,
5,
5,
5,
5
],
[
5,
5,
5,
5,
3,
5,
5,
5,
5,
5
],
[
5,
5,
9,
3,
5,
5,
5,
5,
5,
5
],
[
5,
5,
3,
5,
5,
5,
5,
5,
5,
5
],
[
9,
3,
5,
5,
5,
5,
5,
5,
5,
5
],
[
3,
5,
5,
5,
5,
5,
5,
5,
5,
5
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
9,
9,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
6,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
9,
9,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
6,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
9,
9,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
6,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
9,
9,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
6,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
9,
9,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
6,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
9
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6,
5
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray\nGray Gray Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nGray Green Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Green Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Gray Gray Green Purple Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Green\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Green Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Green Gray Gray Gray Gray\nGray Gray Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Green Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Green Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Gray Green Gray Gray Gray Gray Gray Gray Gray Gray
Green Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Green Gray Gray Gray Gray Gray Gray
Gray Gray Green Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Green Gray Gray Gray Gray
Gray Gray Gray Gray Green Purple Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Green Gray Gray
Gray Gray Gray Gray Gray Gray Green Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Green
Gray Gray Gray Gray Gray Gray Gray Gray Green Purple
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Green Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Green
Gray Gray Gray Gray Gray Gray Green Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Green Gray Gray
Gray Gray Gray Gray Green Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Green Gray Gray Gray Gray
Gray Gray Green Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Green Gray Gray Gray Gray Gray Gray
Green Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Green Gray Gray Gray Gray Gray Gray Gray Gray
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
7
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
8
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
7,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
8,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
7,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
8,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
7,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
8,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
7,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
8,
5,
5,
5,
5,
5,
5,
5,
5
],
[
8,
7,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
8,
8,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
]
],
[
[
5,
3,
5,
5,
5,
5,
5,
5,
5,
5
],
[
3,
8,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
3,
5,
5,
5,
5,
5,
5
],
[
5,
5,
3,
8,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
3,
5,
5,
5,
5
],
[
5,
5,
5,
5,
3,
8,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
3,
5,
5
],
[
5,
5,
5,
5,
5,
5,
3,
8,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
3
],
[
5,
5,
5,
5,
5,
5,
5,
5,
3,
8
]
],
[
[
5,
5,
5,
5,
5,
5,
5,
5,
3,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
3
],
[
5,
5,
5,
5,
5,
5,
3,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
3,
5,
5
],
[
5,
5,
5,
5,
3,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
3,
5,
5,
5,
5
],
[
5,
5,
3,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
3,
5,
5,
5,
5,
5,
5
],
[
3,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
8,
3,
5,
5,
5,
5,
5,
5,
5,
5
]
],
[
[
8,
8,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
8,
7,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
8,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
7,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
8,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
7,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
8,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
7,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
8,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
7,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
8
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
7
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
8,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
6,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
8,
8,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
6,
5,
5,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
8,
8,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
6,
5,
5,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
8,
8,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
6,
5,
5,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
8,
8,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
6,
5,
5
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
8
],
[
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Blue Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Gray\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Gray Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Gray Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Gray Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Gray\nPurple Purple Purple Purple Purple Purple Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Gray Purple Purple\nPurple Purple Purple Purple Gray Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Gray Purple Purple Purple Purple\nPurple Purple Gray Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Gray Purple Purple Purple Purple Purple Purple\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Gray Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nRed Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Black Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Gray Pink\n\n\nExample 4\nInput:\nBlack Gray Purple Purple Purple Purple Purple Purple Purple Purple\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Gray Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Gray Purple Purple Purple Purple\nPurple Purple Purple Purple Gray Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Gray Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Pink Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Pink Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Pink Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Blue Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Blue
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Gray
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Gray Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Gray Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Gray Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Gray Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Gray Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Gray
Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Gray Purple Purple
Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Gray Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Gray Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Gray Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Red Pink Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Black Black Red
Example 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Black Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Gray Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Gray Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Gray Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Gray Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Gray Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Gray Pink
Example 4
Input:
Black Gray Purple Purple Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Gray Purple Purple Purple Purple
Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Gray Purple Purple
Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple
Output:
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Red Pink Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Pink Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Pink Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Pink Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Brown Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Black Black Black Black Pink Pink
``` | 8ee62060 | [
[
[
0,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
1,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
1,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
1
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
5,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
5
],
[
8,
8,
8,
8,
8,
8,
5,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
5,
8,
8
],
[
8,
8,
8,
8,
5,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
5,
8,
8,
8,
8
],
[
8,
8,
5,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
5,
8,
8,
8,
8,
8,
8
],
[
5,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
5,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
1,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
1,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
0,
5,
8,
8,
8,
8,
8,
8,
8,
8
],
[
5,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
5,
8,
8,
8,
8,
8,
8
],
[
8,
8,
5,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
5,
8,
8,
8,
8
],
[
8,
8,
8,
8,
5,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
5,
8,
8
],
[
8,
8,
8,
8,
8,
8,
5,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
5
],
[
8,
8,
8,
8,
8,
8,
8,
8,
5,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
6,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
6,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
6,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
6,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
6,
0,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
]
] | [
[
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Red Black\n\n\nExample 4\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Example 2
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Red Black
Example 4
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\n\nOutput:\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Black Black Blue Black\nRed Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Output:
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Example 3
Input:
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange
Output:
Black Blue Red Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Black Black Blue Black
Red Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Red Red Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Green
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Green Red Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Purple
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
7,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
]
],
[
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nGreen Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Gray Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Gray Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Gray Orange\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Orange Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Orange Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGray Orange Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Green Orange
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Green Orange Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Green Orange Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Green Orange Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Green Orange Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Green Orange Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Orange Gray Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Gray Black
Output:
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Gray Orange
Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Gray Orange Black Black
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Gray Orange Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black
Black Black Gray Orange Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Gray Orange Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Green Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Green Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Green Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Green Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Green Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Green Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Output:
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Here is the input grid for the test example:
Input:
Yellow Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
5,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
5,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
5,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
5,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
]
]
] | [
[
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] | [
[
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
2,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Black Red Green Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Green Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nGray Black Black Black Black Black Black Black Black Black Black Green\nGray Black Black Black Black Black Black Black Black Black Black Gray\nBlack Green Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nGray Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Gray Green Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray Green Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Green Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Green Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGray Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Green Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Black
Gray Black Black Black Black Black Black Black Black Black Black Green
Gray Black Black Black Black Black Black Black Black Black Black Gray
Black Green Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Green Gray Black Black Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Green Gray Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Green Gray Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 2
Input:
Black Black Purple Black Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Gray Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Gray Purple
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Gray Green Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Gray Green Black
Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Gray Green Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Gray Green Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Gray Green Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Gray Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Gray Purple
Black Black Black Black Black Black Black Black Purple Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Here is the input grid for the test example:
Input:
Black Black Pink Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Red Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
3,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
]
],
[
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
3,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
]
] | [
[
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlue Pink Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Green Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Green
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Green Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Green Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Green Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Green Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Blue Pink Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Green Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Green Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Green Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Green Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Green Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Green Pink
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Orange Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Black Pink Pink
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
6
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Red Black Black Black Black Black Black Black Black Black Black Black
Red Purple Black Black Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Orange Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Orange Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Orange Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Orange Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Gray Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Gray Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Brown Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Brown Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Brown Red Black\nBlack Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Brown\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple\nPurple Purple Purple Purple Purple Purple Red Black Purple Purple\nPurple Purple Purple Purple Purple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Red Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Purple Purple Purple Purple Purple\nPurple Purple Red Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Purple Purple Purple Purple Purple\nRed Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Brown Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black\n\n\nExample 4\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBlack Orange Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Gray Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Gray Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nGray Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Orange Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Orange Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Orange Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Orange Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Orange Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Output:
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Gray Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Red Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Red
Example 2
Input:
Black Black Black Black Black Black Black Black Black Red
Black Brown Red Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Black Brown Red Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Brown Red Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Brown Red Black
Black Black Black Black Black Black Black Red Black Black
Red Black Black Black Black Black Black Black Black Brown
Output:
Purple Purple Purple Purple Purple Purple Purple Purple Red Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Red Black Purple Purple
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Red Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Purple Purple Red Black Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Red Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Example 3
Input:
Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Brown Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Brown Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Brown
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Brown Black Black
Black Black Black Black Black Black Black Red Black Black
Output:
Black Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Red Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Example 4
Input:
Brown Black Black Black Black Black Black Black Black Black Black Orange
Brown Black Black Black Black Black Black Black Black Black Black Brown
Black Orange Brown Black Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Orange Brown Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Orange Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Orange Brown Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Orange Brown Black
Black Black Black Black Black Black Black Black Black Brown Brown Black
Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Gray Red Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple
Purple Purple Purple Purple Purple Purple Gray Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Gray Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Gray Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Here is the input grid for the test example:
Input:
Pink Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple
Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
``` | 8ee62060 | [
[
[
0,
0,
7,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
9,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
],
[
[
0,
0,
0,
0,
2,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
7,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
]
]
] | [
[
[
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
5,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
5,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
2,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
5,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
5,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
2,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
5,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
5,
2
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
2,
0
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
8
],
[
8,
8,
8,
8,
8,
8,
2,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
8,
8,
8
],
[
8,
8,
8,
8,
2,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
8,
8,
8,
8,
8
],
[
8,
8,
2,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
8,
8,
8,
8,
8,
8,
8
],
[
2,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
0,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
0,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
0,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
0,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
0,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
0,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
0,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
0,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
0,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
0,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
0
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
5,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
5,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
2,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
5,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
5,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
2,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
5,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
5,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
]
] | [
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
2,
2,
8,
8
],
[
8,
8,
8,
8,
8,
8,
3,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
2,
2,
8,
8,
8,
8,
8,
8
],
[
8,
8,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 4\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 4
Input:
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Red Black
``` | 8ee62060 | [
[
[
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nYellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 4\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray
Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Example 4
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Gray Gray
Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
]
] | [
[
[
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
]
],
[
[
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5
],
[
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
]
],
[
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
7,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
7,
7,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
]
],
[
[
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
5,
5
],
[
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
],
[
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nRed Yellow Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Orange Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nRed Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Orange\n\nOutput:\nGreen Red Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Gray Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Gray Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Gray Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Gray Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Gray Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Gray Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Output:
Red Yellow Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Orange Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Orange Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Yellow Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Red Black Black Black Black Black Black Black Black
Red Orange Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Orange
Output:
Green Red Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Green
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
5,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
]
]
] | [
[
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Blue Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nRed Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Blue Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Blue Black\nGreen Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Green\n\nOutput:\nYellow Red Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Red\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 4\nInput:\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Orange Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue Orange Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Orange Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Pink Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Pink Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Pink Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPink Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Yellow Blue Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue
Yellow Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Blue Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Blue Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Blue Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Blue
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Blue Black Black
Output:
Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Red Yellow Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Green Black Black Black Black Black Black Black
Black Green Blue Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Green Blue Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Green Blue Black Black Black
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Green Blue Black
Green Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Green
Output:
Yellow Red Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Red Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Red Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Red Black Black
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Red
Black Black Black Black Black Black Black Black Black Yellow
Example 4
Input:
Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Blue Yellow Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Blue Yellow Black
Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Blue Yellow Black Black Black
Black Black Black Black Black Black Black Blue Blue Black Black Black
Black Black Black Black Black Blue Yellow Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Blue Yellow Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Blue Orange Black Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Blue Orange Black
Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Blue Orange Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Blue Orange Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Blue Orange Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Pink Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Pink Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Pink Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Pink Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Pink Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Pink Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
4,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
1,
0,
0
]
],
[
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
1,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
],
[
[
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
4,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
1,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black\nPink Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Pink Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nPink Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nPink Purple Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Gray Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Purple Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Brown Black Black Black Black Black Black Black Black Black
Pink Brown Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Pink Brown
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Pink Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Example 4
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Pink Purple Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Purple Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Purple Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Purple
Black Black Black Black Black Black Black Black Black Black Pink Pink
Here is the input grid for the test example:
Input:
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Pink Pink Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Gray Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nGray Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Gray Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Gray Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Purple Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nPurple Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Black Orange\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nPink Gray Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Gray Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nGray Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Gray Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Gray Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Gray Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Gray Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Gray Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Output:
Purple Purple Black Black Black Black Black Black Black Black Black Black
Gray Purple Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Gray Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Gray Purple
Example 2
Input:
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black
Pink Yellow Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Purple Orange
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Purple Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Purple Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Purple Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Purple Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Example 3
Input:
Pink Yellow Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Black Black Yellow Black
Output:
Orange Purple Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Orange Purple
Black Black Black Black Black Black Black Black Black Orange
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Pink Gray
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Pink Gray Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Pink Gray Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Pink Gray Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Pink Gray Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Pink Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Gray Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Gray Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Gray Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
5,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
8,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
8,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
8,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
8,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Purple Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Orange Black\nPurple Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Black\n\nOutput:\nRed Yellow Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Black Red\n\n\nExample 3\nInput:\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black\nPurple Black Black Black Black Black Black Black Black Black Black Blue\nPurple Black Black Black Black Black Black Black Black Black Black Purple\nBlack Blue Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 4\nInput:\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nRed Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nGray Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Blue Purple Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Blue Purple Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Black Black Blue Purple Black
Black Black Black Black Black Black Black Purple Purple Black Black Black
Black Black Black Black Black Black Black Blue Purple Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Blue Purple Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Pink Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Pink Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Purple Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Purple Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Purple Orange
Black Black Black Black Black Black Black Black Orange Black
Purple Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Black Black Purple Orange Black Black Black Black Black Black
Output:
Red Yellow Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Black Red
Example 3
Input:
Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Blue Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Blue Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Blue Purple Black Black Black
Black Black Black Black Black Black Black Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Blue Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Black
Purple Black Black Black Black Black Black Black Black Black Black Blue
Purple Black Black Black Black Black Black Black Black Black Black Purple
Black Blue Purple Black Black Black Black Black Black Black Black Black
Output:
Yellow Pink Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Pink
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Example 4
Input:
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Orange Purple Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Purple
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Black Orange Black Black
Output:
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Red Yellow Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Gray Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Black Black Yellow Black
``` | 8ee62060 | [
[
[
0,
0,
0,
1,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
8,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
7,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
1,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
],
[
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Blue\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Black\nBlue Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Pink Red Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Red Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nPink Red Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Blue Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlue Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Blue Gray\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Blue Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nPink Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Black Purple Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Purple Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Purple Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Red Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Red Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Pink\nRed Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Red Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Red Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Red Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlue Gray Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Blue Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Purple\nPurple Pink Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nYellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Blue Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Blue Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Blue\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Blue Purple Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Blue Purple Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Blue Purple Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Black Black Black
Black Black Black Black Black Black Black Blue Purple Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Purple Black
Blue Black Black Black Black Black Black Black Black Black Black Blue
Output:
Black Black Black Black Pink Red Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Red Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Red Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Red
Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Red Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Red Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Blue Gray Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Blue Gray Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black
Blue Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Blue Gray
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Blue Gray Black Black
Output:
Black Black Black Black Black Black Pink Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Pink Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Pink Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Pink Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple
Black Black Black Black Black Black Black Black Purple Black
Example 3
Input:
Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Purple Blue Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Purple Blue Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Purple Blue Black
Black Black Black Black Black Black Black Blue Blue Black Black Black
Black Black Black Black Black Black Black Purple Blue Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Purple Blue Black Black Black Black Black
Output:
Black Black Black Pink Pink Black Black Black Black Black Black Black
Black Black Black Pink Red Black Black Black Black Black Black Black
Black Pink Pink Black Black Black Black Black Black Black Black Black
Black Pink Red Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Pink
Red Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Black Black Black Black Pink Red Black
Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Pink Red Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black
Black Black Black Black Black Pink Red Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Gray Black
Blue Gray Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black
Black Black Blue Gray Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Blue Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Blue Gray Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Blue Gray
Output:
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Black Purple
Purple Pink Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Purple Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Yellow Blue Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Yellow Blue Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black Black Black
Yellow Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Yellow Blue
Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Blue Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Blue Pink Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Blue Pink Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Blue
Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Pink Black
Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Blue Pink Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
``` | 8ee62060 | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
8,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
5,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
5,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
5
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
5,
0,
0
]
],
[
[
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
1,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
1,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
5
]
]
] | [
[
[
0,
0,
0,
0,
6,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
6,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
6,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
6,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
6,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
],
[
[
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
2,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Black Blue Black Black Black\n\n\nExample 4\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Purple Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Purple Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Purple Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Purple Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Purple Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Red Black
Black Black Black Black Black Black Blue Black Black Black
Example 4
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Black Black Black Black Black Black Black Black Black Red Red Black
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Red Green Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Green Black
Here is the input grid for the test example:
Input:
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Purple Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Red Purple Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Purple Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Purple Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Purple Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Purple Black
Black Black Black Black Black Black Black Black Black Red Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 3
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Pink\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Pink Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Pink Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Pink Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Pink Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Pink Green Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Green Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Green Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Pink Green Black\n\nOutput:\nGreen Brown Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Brown Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Brown Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Brown Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Brown\nBlack Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Green Pink Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Green Pink Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Green Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Green Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Brown Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Brown Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nGreen Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Brown\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Brown Black Black\n\n\nExample 4\nInput:\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nGreen Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Green\nBlack Yellow Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Pink\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Pink Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Pink Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Green Green Black Black Black Black Black Black Black Black Black
Black Yellow Green Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Green
Green Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Green Green Black
Black Black Black Black Black Black Black Black Black Yellow Green Black
Black Black Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Yellow Green Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black
Black Black Black Black Black Yellow Green Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black
Black Black Black Yellow Green Black Black Black Black Black Black Black
Output:
Brown Brown Black Black Black Black Black Black Black Black Black Black
Brown Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Brown Pink
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Brown Pink Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Brown Pink Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Pink Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Brown Pink Black Black Black Black Black Black Black Black
Example 2
Input:
Pink Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Pink
Black Black Pink Black Black Black Black Black Black Black
Black Pink Green Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Pink Green Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Pink Green Black Black Black
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Pink Green Black
Output:
Green Brown Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Green Brown Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Green Brown Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Green Brown Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Green Brown
Black Black Black Black Black Black Black Black Black Green
Example 3
Input:
Black Black Black Black Black Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Green Pink Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Green Pink Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Black Green Pink Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black
Black Green Pink Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Green Brown Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Green Brown Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Green Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Green Brown
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Green Brown Black Black
Example 4
Input:
Black Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Green Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Green Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Green Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Green Black
Black Black Black Black Black Black Black Black Black Green Green Black
Green Black Black Black Black Black Black Black Black Black Black Yellow
Green Black Black Black Black Black Black Black Black Black Black Green
Black Yellow Green Black Black Black Black Black Black Black Black Black
Output:
Brown Black Black Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Black Black Black Black Black Black Black Pink
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Pink Brown Black Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Pink Brown Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Pink Brown Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Pink Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Pink Brown Black
Here is the input grid for the test example:
Input:
Gray Black Black Black Black Black Black Black Black Black Black Green
Black Green Black Black Black Black Black Black Black Black Black Black
Black Green Gray Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Black Green Gray Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Black Green Gray Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Black Green Gray Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Black Green Gray Black
Black Black Black Black Black Black Black Black Black Black Black Green
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Blue Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue
``` | 8ee62060 | [
[
[
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
3,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
3,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
6,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
6,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
6,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
6,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
4,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
],
[
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
9,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
9,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
9
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
9,
0,
0
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
9,
0
]
]
] | [
[
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Orange Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Orange Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Orange Brown\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Orange Brown Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nBlack Orange Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Orange Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Orange Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Orange Brown Black\nBlack Black Black Black Black Black Black Brown Black Black\nBrown Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Orange Yellow Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Orange Yellow Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Orange Brown Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Orange Brown Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Orange Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Orange Brown
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Orange Brown Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Black Orange Brown Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Black Orange Brown Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Orange Brown Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Orange Brown Black
Black Black Black Black Black Black Black Brown Black Black
Brown Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Brown
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Orange Yellow Black Black Black Black Black Black Black
Black Black Black Orange Orange Black Black Black Black Black Black Black
Black Orange Yellow Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Orange Yellow Black
Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Orange Yellow Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Orange Yellow Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Here is the input grid for the test example:
Input:
Orange Orange Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
``` | 8ee62060 | [
[
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
9,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
9,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
9
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
9,
0,
0
]
],
[
[
0,
7,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
],
[
[
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
]
] | [
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Yellow Red
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Yellow Red Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Red Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Red Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Red Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Red Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Black Orange Black Black Black Black Black Black Black Black
Orange Yellow Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Orange Yellow Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Orange Yellow Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Orange Yellow Black Black
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Orange Yellow
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Red Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Red Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Red Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Red Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Red Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Red
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Here is the input grid for the test example:
Input:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Gray
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
4
]
],
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
]
] | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Green Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Purple Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Purple Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Purple Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Purple\nGreen Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Purple Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Purple Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Black Black Yellow Black\nGreen Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n\nOutput:\nGreen Purple Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Purple Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Purple Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Purple Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Purple Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Black Black Black Black Green Green\n\n\nExample 4\nInput:\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Green Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Green Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Black Black Black Black Black Black Black Black Black Black Green
Red Black Black Black Black Black Black Black Black Black Black Red
Black Green Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Green Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Green Red Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Output:
Black Black Black Black Black Purple Green Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black
Black Black Black Purple Green Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black
Black Purple Green Black Black Black Black Black Black Black Black Black
Black Green Green Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Purple
Green Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Purple Green Black
Black Black Black Black Black Black Black Black Black Green Green Black
Black Black Black Black Black Black Black Purple Green Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black
Example 2
Input:
Black Black Black Red Blue Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Red Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Yellow Green Black
Black Black Black Black Black Black Black Black Yellow Black
Green Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black
Black Yellow Green Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Yellow Green Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Green Black Black Black
Black Black Black Black Black Black Yellow Black Black Black
Example 3
Input:
Black Red Green Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Output:
Green Purple Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Green Purple Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Green Purple Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Green Purple Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Green Purple Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Green Purple
Black Black Black Black Black Black Black Black Black Black Green Green
Example 4
Input:
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Yellow Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Yellow Green Black
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Yellow Green Black Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Yellow Green Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Yellow Green Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Green Red Black Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Green Black
``` | 8ee62060 | [
[
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
]
],
[
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
8,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
4,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
]
],
[
[
3,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
]
],
[
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
3,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
3,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
3,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Yellow Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Yellow Orange Orange\nOrange Orange Orange Orange Yellow Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Yellow Orange Orange Orange Orange\nOrange Orange Yellow Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Orange Orange Orange Orange Orange Orange\nYellow Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nOrange Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Purple Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Purple Blue Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Purple Blue Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Purple Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Yellow Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow
Orange Orange Orange Orange Orange Orange Yellow Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange
Orange Orange Orange Orange Yellow Blue Orange Orange Orange Orange
Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange
Orange Orange Yellow Blue Orange Orange Orange Orange Orange Orange
Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange
Yellow Blue Orange Orange Orange Orange Orange Orange Orange Orange
Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange
Yellow Blue Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange
Orange Orange Yellow Blue Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange
Orange Orange Orange Orange Yellow Blue Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange
Orange Orange Orange Orange Orange Orange Yellow Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow
Orange Orange Orange Orange Orange Orange Orange Orange Yellow Blue
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Blue Purple Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange
Orange Orange Orange Orange Orange Orange Blue Purple Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange
Orange Orange Orange Orange Blue Purple Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange
Orange Orange Blue Purple Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange
Blue Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange
Orange Orange Orange Orange Orange Orange Orange Orange Blue Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange
Orange Orange Orange Orange Blue Black Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange
Orange Orange Blue Black Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange
Blue Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
8,
1,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
1,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
8,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
8,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
8,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
8,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
8,
1
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
1
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
4,
1
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
4
],
[
7,
7,
7,
7,
7,
7,
4,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
4,
7,
7
],
[
7,
7,
7,
7,
4,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
4,
7,
7,
7,
7
],
[
7,
7,
4,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
4,
7,
7,
7,
7,
7,
7
],
[
4,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
4,
7,
7,
7,
7,
7,
7,
7,
7
]
],
[
[
7,
4,
7,
7,
7,
7,
7,
7,
7,
7
],
[
4,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
4,
7,
7,
7,
7,
7,
7
],
[
7,
7,
4,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
4,
7,
7,
7,
7
],
[
7,
7,
7,
7,
4,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
4,
7,
7
],
[
7,
7,
7,
7,
7,
7,
4,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
4
],
[
7,
7,
7,
7,
7,
7,
7,
7,
4,
1
]
],
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
8
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
1
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
8,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
1,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
8,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
1,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
8,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
1,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
8,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
1,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
8,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
1,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
0
],
[
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
0,
7,
7
],
[
7,
7,
7,
7,
7,
7,
7,
7,
1,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
0,
7,
7,
7,
7
],
[
7,
7,
7,
7,
7,
7,
1,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
0,
7,
7,
7,
7,
7,
7
],
[
7,
7,
7,
7,
1,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
0,
7,
7,
7,
7,
7,
7,
7,
7
],
[
7,
7,
1,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
0,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
],
[
1,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red\nRed Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nRed Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Black Orange\nOrange Red Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Yellow Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Yellow Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nGray Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Gray Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Gray Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Gray Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Yellow Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Yellow Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Yellow Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Yellow Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Yellow
Black Black Black Black Black Black Black Black Black Black Red Red
Red Yellow Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Orange Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Red Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Red Orange Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Orange Red Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Orange Red Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Orange Red
Black Black Black Black Black Black Black Black Black Orange
Orange Red Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Black Black Orange Red Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Red Yellow Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Red Yellow Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Red Yellow Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Yellow Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Red Yellow Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Red Yellow Black Black Black
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Gray Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Gray Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Gray Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Gray Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Gray Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
7,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
2,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
4,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
4,
0,
0,
0
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
5,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green\nBrown Brown Brown Brown Brown Brown Brown Brown Green Yellow\nBrown Brown Brown Brown Brown Brown Brown Green Brown Brown\nBrown Brown Brown Brown Brown Brown Green Yellow Brown Brown\nBrown Brown Brown Brown Brown Green Brown Brown Brown Brown\nBrown Brown Brown Brown Green Yellow Brown Brown Brown Brown\nBrown Brown Brown Green Brown Brown Brown Brown Brown Brown\nBrown Brown Green Yellow Brown Brown Brown Brown Brown Brown\nBrown Green Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Yellow Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Green Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Green Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Green Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Output:
Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Example 2
Input:
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Green
Brown Brown Brown Brown Brown Brown Brown Brown Green Yellow
Brown Brown Brown Brown Brown Brown Brown Green Brown Brown
Brown Brown Brown Brown Brown Brown Green Yellow Brown Brown
Brown Brown Brown Brown Brown Green Brown Brown Brown Brown
Brown Brown Brown Brown Green Yellow Brown Brown Brown Brown
Brown Brown Brown Green Brown Brown Brown Brown Brown Brown
Brown Brown Green Yellow Brown Brown Brown Brown Brown Brown
Brown Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Yellow Brown Brown Brown Brown Brown Brown Brown Brown
Example 3
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Example 4
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Green Brown Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Green Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Green Brown Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Green Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Green Brown Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Green Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Green Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Green Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Green Brown
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Green
Here is the input grid for the test example:
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue
Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown
Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
7,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
],
[
4,
4,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
7,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
4,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
7,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
4,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
7,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
4,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
7,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
4,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
4,
7
],
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
4,
4
]
],
[
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
3
],
[
9,
9,
9,
9,
9,
9,
9,
9,
3,
4
],
[
9,
9,
9,
9,
9,
9,
9,
3,
9,
9
],
[
9,
9,
9,
9,
9,
9,
3,
4,
9,
9
],
[
9,
9,
9,
9,
9,
3,
9,
9,
9,
9
],
[
9,
9,
9,
9,
3,
4,
9,
9,
9,
9
],
[
9,
9,
9,
3,
9,
9,
9,
9,
9,
9
],
[
9,
9,
3,
4,
9,
9,
9,
9,
9,
9
],
[
9,
3,
9,
9,
9,
9,
9,
9,
9,
9
],
[
3,
4,
9,
9,
9,
9,
9,
9,
9,
9
]
],
[
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
4,
4
],
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
4,
7
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
4,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
7,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
4,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
7,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
4,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
7,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
4,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
7,
9,
9,
9,
9,
9,
9,
9,
9
],
[
4,
4,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
],
[
4,
7,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
]
],
[
[
3,
9,
9,
9,
9,
9,
9,
9,
9,
9
],
[
4,
3,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
3,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
3,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
3,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
3,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
3,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
3,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
3,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
3
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
]
] | [
[
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
4,
4
],
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
1
],
[
9,
9,
9,
9,
9,
9,
9,
9,
4,
4,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
9,
9,
1,
9,
9
],
[
9,
9,
9,
9,
9,
9,
4,
4,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
9,
9,
1,
9,
9,
9,
9
],
[
9,
9,
9,
9,
4,
4,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
9,
9,
1,
9,
9,
9,
9,
9,
9
],
[
9,
9,
4,
4,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
9,
9,
1,
9,
9,
9,
9,
9,
9,
9,
9
],
[
4,
4,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
],
[
9,
1,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nGray Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\n\n\nExample 4\nInput:\nGray Purple Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Gray Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Orange Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Orange Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Green Gray\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Green Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Green Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Green Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Green Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nGreen Gray Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Gray Gray Black Black Black Black Black Black Black Black Black Black
Gray Orange Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Gray Orange Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Gray Orange Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Gray Orange Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Gray Orange Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Gray Orange
Output:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Orange Orange Black Black Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Gray Purple
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Gray Purple Black Black Black Black Black Black Black Black
Output:
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Orange Gray Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Example 4
Input:
Gray Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Black Black Gray Purple Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Gray Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Gray Purple Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Gray Purple
Black Black Black Black Black Black Black Black Purple Black
Output:
Black Pink Black Black Black Black Black Black Black Black
Black Orange Pink Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Black Orange Pink Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Orange Pink Black Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Orange Pink Black
Black Black Black Black Black Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Orange
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Green Gray
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Green Gray Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Green Gray Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Green Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Green Gray Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black
Green Gray Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Black
Orange Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Orange Gray
Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Orange Gray Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Orange Gray Black Black Black Black
``` | 8ee62060 | [
[
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
5,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
]
],
[
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
]
],
[
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
7
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
5,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\n\nOutput:\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nExample 3\nInput:\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange
Output:
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Example 3
Input:
Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Output:
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
7,
7
]
],
[
[
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
7,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
5,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
],
[
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
5,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
4,
4
]
]
] | [
[
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
4,
4
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Orange Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Black Black\nBrown Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Blue Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Blue Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Blue Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Blue Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlue Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlue Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Orange Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Orange Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Orange Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Brown Blue Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Brown Blue Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Blue Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Brown Blue Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\n\nOutput:\nBrown Blue Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Blue Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Blue\nBlack Black Black Black Black Black Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Output:
Blue Blue Black Black Black Black Black Black Black Black Black Black
Orange Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Orange Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Orange Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Orange Blue Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Orange Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Orange Blue
Example 2
Input:
Black Black Black Black Black Black Black Brown Black Black
Brown Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Brown
Black Blue Brown Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Black Blue Brown Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Blue Brown Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Blue Brown Black
Output:
Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Blue Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Black
Blue Black Black Black Black Black Black Black Black Black Black Red
Blue Black Black Black Black Black Black Black Black Black Black Blue
Black Red Blue Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Red Blue Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Black Black Blue Blue Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Orange Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Orange Blue Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Orange Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Orange Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Orange Blue Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Orange Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Brown Blue Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Brown Blue Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Blue Black
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Brown Blue Black Black Black
Black Black Black Black Black Black Brown Black Black Black
Output:
Brown Blue Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Brown Blue Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Brown Blue Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Brown Blue Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Brown Blue
Black Black Black Black Black Black Black Black Black Brown
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Green Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Green Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
1,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
9,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0
]
],
[
[
0,
0,
0,
9,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
9,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
9,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
]
]
] | [
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Green Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Orange Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Orange Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nGreen Orange Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Green Green Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Red Green
Example 2
Input:
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Pink Green
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Pink Green Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Pink Green Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Green Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black
Pink Green Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black
Output:
Pink Black Black Black Black Black Black Black Black Black
Green Pink Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black
Black Black Green Pink Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Green Pink Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Green Pink Black Black
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Green Pink
Here is the input grid for the test example:
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Green Orange
Black Black Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Green Orange Black Black
Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Green Orange Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Green Orange Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Green Orange Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Black
Green Orange Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6
],
[
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
6,
6,
0,
0,
0,
0
]
]
] | [
[
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
3
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
3,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
3,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
6
]
]
] | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Gray\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Gray Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Blue Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nGray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Gray Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Orange Blue\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Gray
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Gray Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Gray Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Gray Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Gray Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Gray Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Pink Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Blue Pink
Example 3
Input:
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black
Example 4
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Blue Blue Black Black Black Black Black Black Black Black Black Black
Gray Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Gray Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Gray Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Gray Blue Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Gray Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Gray Blue
Here is the input grid for the test example:
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Blue Black Black Black Black Black Black Black Black Black Black
Orange Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Orange Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Orange Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Orange Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Orange Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Orange Blue
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
5,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
1
]
]
] | [
[
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
1
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Green\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Green Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Orange Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlue Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 4\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Orange Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Blue Green
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Blue Green Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Blue Green Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Blue Green Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Blue Green Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Blue Green Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black
Output:
Red Orange Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Orange Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Blue Red Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Red Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Red Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 4
Input:
Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Green Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Green Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Green Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Green Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Green Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Green
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Orange
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Orange Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Orange Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Orange Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Orange Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Orange Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Purple Blue Black Black Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Purple Blue Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Purple Blue Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Black Purple Blue Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Black Black Purple Blue Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Purple Blue
Black Black Black Black Black Black Black Black Black Black Black Blue
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
3
]
]
] | [
[
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Orange Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nOrange Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nRed Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Orange Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Orange Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Orange Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Orange Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Orange Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Orange Red Black Black Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Example 2
Input:
Red Green Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Green Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 3
Input:
Orange Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Orange Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Orange Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Orange Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Orange Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Orange Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Red Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Here is the input grid for the test example:
Input:
Gray Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Red Red
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
0
]
],
[
[
7,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
]
] | [
[
[
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
5,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
5,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Yellow Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Orange Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nExample 2\nInput:\nBlack Pink Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Pink Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Red Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Red Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Orange Yellow
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Orange Yellow Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Orange Yellow Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Orange Yellow Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Orange Yellow Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Orange Yellow Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Output:
Pink Orange Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Black Black Pink Pink
Example 2
Input:
Black Pink Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Pink Orange
Output:
Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black
Pink Yellow Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black
Example 3
Input:
Orange Orange Black Black Black Black Black Black Black Black Black Black
Orange Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Orange Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Orange Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Orange Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Yellow
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Orange
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black
Output:
Yellow Pink Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Pink
Black Black Black Black Black Black Black Black Black Yellow
Here is the input grid for the test example:
Input:
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Brown
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Red Pink
Black Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Red Pink Black Black
Black Black Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Red Pink Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Red Pink Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black
Red Pink Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
]
],
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0,
0,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
]
]
] | [
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlue Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Pink Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Brown Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Brown Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Purple Brown\n\nOutput:\nYellow Orange Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Brown Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlue Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Blue Brown Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Pink
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Orange Pink Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Pink Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Orange Pink Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Orange Pink Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Orange Pink Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Purple Black Black Black Black Black Black Black Black
Purple Brown Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Purple Brown Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Purple Brown Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Purple Brown Black Black
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Purple Brown
Output:
Yellow Orange Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Black Black Yellow
Example 3
Input:
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Brown Purple
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Brown Purple Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Brown Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Brown Purple Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black
Brown Purple Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Yellow Orange
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black
Example 4
Input:
Blue Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Blue Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Blue Brown Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Blue Brown
Black Black Black Black Black Black Black Black Black Black Brown Brown
Output:
Orange Orange Black Black Black Black Black Black Black Black Black Black
Pink Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Pink Orange Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Pink Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Pink Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Pink Orange Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Pink Orange
Here is the input grid for the test example:
Input:
Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Gray Black Black Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Brown Gray Black Black Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Brown Gray Black Black Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Brown Gray Black Black Black Black
Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Gray Black Black
Black Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Black Black Brown Gray
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Green Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Orange Orange
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
8
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
8,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
8,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
8,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
8,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
],
[
0,
0,
0,
0,
0,
0,
0,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
7
]
]
] | [
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
5
]
]
] | [
[
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
7,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
7,
7
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nBlack Black Pink Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Black Black Brown Black\nPink Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Pink Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBrown Pink Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Pink\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Brown Pink Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Pink Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Blue Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nPink Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nPurple Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 2
Input:
Black Black Pink Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Pink Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Black Black Brown Black
Pink Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Brown Black Black Black Black
Black Black Brown Pink Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Brown Pink Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Pink
Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Brown Pink Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Brown Pink Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Pink Black Black Black Black Black Black Black Black Black Black Pink
Black Blue Pink Black Black Black Black Black Black Black Black Black
Black Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Black Blue Pink Black Black Black Black Black Black Black
Black Black Black Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Blue Pink Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Blue Pink Black Black Black
Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Blue Pink Black
Black Black Black Black Black Black Black Black Black Pink Pink Black
Pink Black Black Black Black Black Black Black Black Black Black Blue
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Purple Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
9,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
9,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
9,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
9,
6,
0,
0,
0,
0
]
],
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nYellow Blue Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Yellow Orange\n\n\nExample 4\nInput:\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Blue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Output:
Yellow Blue Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Blue Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Blue Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Blue
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Example 2
Input:
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Orange Yellow
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Orange Yellow Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Orange Yellow Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Orange Yellow Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Orange Yellow Black Black Black Black Black Black Black Black
Example 3
Input:
Black Black Black Black Black Black Black Red Blue Black
Black Black Black Black Black Black Black Blue Black Black
Blue Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Blue
Black Red Blue Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Black Red Blue Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Red Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Output:
Orange Black Black Black Black Black Black Black Black Black
Yellow Orange Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Yellow Orange Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Yellow Orange Black Black
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Yellow Orange
Example 4
Input:
Black Black Black Red Red Black Black Black Black Black Black Black
Black Red Green Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Blue
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Blue Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Blue Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Blue Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Purple Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
],
[
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
2,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
2,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
4
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
4,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
4,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
4,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
4,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
7
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Brown Black Black Black Black Black Black Black Black\nBrown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Pink Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Pink Black Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Brown Pink\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Pink Blue\n\n\nExample 3\nInput:\nBlue Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Green Pink\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Pink Brown\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Pink Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Pink Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nPink Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black\nPink Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Pink\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Blue Pink Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Green
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Pink Green Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Green Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Green Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Pink Green Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Pink Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Brown Black Black Black Black Black Black Black Black
Brown Pink Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Brown Pink Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Brown Pink Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Brown Pink Black Black
Black Black Black Black Black Black Black Black Black Brown
Black Black Black Black Black Black Black Black Brown Pink
Output:
Blue Black Black Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Pink Blue
Example 3
Input:
Blue Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Blue Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Blue Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Blue Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Blue Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Blue Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Output:
Pink Pink Black Black Black Black Black Black Black Black Black Black
Green Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Green Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Green Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Green Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Green Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Green Pink
Example 4
Input:
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Pink Brown
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Pink Brown Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Pink Brown Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Pink Brown Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Pink Brown Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Pink Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Pink Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Pink Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Pink Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Pink Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Pink Black Black Black Black Black Black Black Black Black Black Black
Pink Purple Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Pink Purple Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Purple Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Black Black Black Black Black Black Pink Purple
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Pink Black Black Black Black Black Black Black Black Black Black
Purple Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Black Black Black Black Purple Pink
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
6
]
],
[
[
1,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
9
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
9,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
9,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
]
],
[
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
6,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
6,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
6,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
6,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
8
]
]
] | [
[
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Blue\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Purple Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nPurple Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Purple Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Orange Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Blue Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Purple Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Blue Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlue Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Brown Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Purple Black Black Black Black Black Black Black Black Black Black
Purple Blue Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Purple Blue Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Blue Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Blue Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Blue Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Blue
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Example 2
Input:
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Purple Orange
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Purple Orange Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Purple Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Purple Orange Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Purple Orange Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 3
Input:
Purple Orange Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black
Black Black Purple Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Purple Orange Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Purple Orange Black Black
Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Purple Orange
Black Black Black Black Black Black Black Black Orange Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Blue Purple
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Blue Purple Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Blue Purple Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Blue Purple Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Blue Purple Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Blue Purple Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Brown Purple
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Brown Purple Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Brown Purple Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Brown Purple Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Brown Purple Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Brown Purple Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
7
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
7,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
7,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
7,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple
Output:
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Example 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Output:
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Example 4
Input:
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Red Red
Output:
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Here is the input grid for the test example:
Input:
Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
``` | 8ee62060 | [
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
3,
3
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8
]
],
[
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
3,
3,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
3,
3,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
]
],
[
[
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
]
]
] | [
[
[
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1,
8,
8,
8,
8
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
6,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1
],
[
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
1
]
]
] | [
[
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Output:
Blue Red Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Example 3
Input:
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Red Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Blue Red Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Red Black
Blue Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Blue
Black Black Blue Black Black Black Black Black Black Black
Black Blue Red Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Blue Red Black Black Black Black Black Black Black Black
Example 4
Input:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Output:
Red Green Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Red Green
Black Black Black Black Black Black Black Black Black Black Red Red
Here is the input grid for the test example:
Input:
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Red Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Red Purple Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Purple Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Purple Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Purple Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Purple Black Black
Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Purple
Black Black Black Black Black Black Black Black Black Black Red Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
2,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
2,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
]
]
] | [
[
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
2,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Pink Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Yellow Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Yellow Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nPurple Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Green Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nExample 4\nInput:\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Green\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Green Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Green Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Green Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Green Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Yellow Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple
Output:
Black Black Black Black Black Black Black Black Black Black Green Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Green Pink Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Green Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Green Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Green Pink Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Green Pink Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Orange Purple
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Orange Purple Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black
Output:
Purple Pink Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Black Purple
Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Purple Yellow
Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Purple Yellow Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Purple Yellow Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Purple Yellow Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Purple Yellow Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black
Purple Yellow Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black
Output:
Pink Green Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Green Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Green Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Green Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Green Black Black
Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Pink Green
Black Black Black Black Black Black Black Black Black Black Pink Pink
Example 4
Input:
Black Orange Black Black Black Black Black Black Black Black
Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black
Black Black Orange Purple Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Orange Purple Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Orange Purple Black Black
Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Orange Purple
Output:
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black
Black Black Purple Pink Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black
Purple Pink Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Purple Green
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Purple Green Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Purple Green Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Purple Green Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Purple Green Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Purple Green Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Pink Gray Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Gray Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Gray Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Gray Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Gray Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Gray
Black Black Black Black Black Black Black Black Black Black Pink Black
``` | 8ee62060 | [
[
[
4,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
7,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
0,
0,
0,
0
],
[
0,
0,
7,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
0,
0,
0
],
[
0,
0,
0,
0,
7,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
0,
0,
0,
7,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
7
],
[
0,
0,
0,
0,
0,
0,
0,
0,
7,
8
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
]
],
[
[
6,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
6
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
6,
0,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
6,
0,
0,
0,
0
],
[
0,
0,
0,
8,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
6,
0,
0,
0,
0,
0,
0
],
[
0,
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
6,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
6,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
5,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
5,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
5,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
5
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Green\nBlack Brown Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Brown Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Brown Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Brown Green Black\nBlack Black Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black Brown\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Yellow Brown\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBlack Yellow Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBrown Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nYellow Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 4\nInput:\nBlack Black Black Green Black Black Black Black Black Black\nGreen Brown Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Brown\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Brown Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Brown Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Green Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBrown Black Black Black Black Black Black Black Black Black Black Brown\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Yellow Brown Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Pink Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Pink Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Pink Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Pink Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Pink Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Black Green
Black Brown Green Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Black Brown Green Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Black Brown Green Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Black Brown Green Black
Black Black Black Black Black Black Black Green Black Black
Green Black Black Black Black Black Black Black Black Brown
Output:
Brown Black Black Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Yellow Brown
Example 3
Input:
Brown Black Black Black Black Black Black Black Black Black Black Brown
Black Yellow Brown Black Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Brown Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Brown Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Brown Black
Black Black Black Black Black Black Black Black Black Brown Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Yellow
Output:
Yellow Pink Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Pink Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Pink Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Pink Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Pink Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Pink
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Example 4
Input:
Black Black Black Green Black Black Black Black Black Black
Green Brown Black Black Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Brown
Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Green Brown Black Black
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Green Brown Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Green Brown Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Pink
Brown Black Black Black Black Black Black Black Black Black Black Brown
Black Pink Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Pink Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Purple Black
``` | 8ee62060 | [
[
[
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
9,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
4,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
4,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4
]
],
[
[
0,
0,
0,
3,
0,
0,
0,
0,
0,
0
],
[
3,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
3
],
[
0,
0,
0,
0,
0,
0,
3,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
0,
0
],
[
0,
0,
0,
0,
3,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
3,
0,
0,
0,
0
],
[
0,
0,
3,
9,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
]
],
[
[
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
6,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9,
9,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
9,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
9,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
9,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
0,
0
]
]
] | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBrown Yellow Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow\nBlack Black Black Black Black Black Black Black Black Brown\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Red Red Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Red Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Red Green Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Red Green
Output:
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Green Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Green Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Green Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Green Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Green Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Green Yellow
Example 2
Input:
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Yellow Brown
Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Yellow Brown Black Black
Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Yellow Brown Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black
Black Black Yellow Brown Black Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black
Yellow Brown Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Black Black Black Black
Example 3
Input:
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Output:
Brown Yellow Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Black Brown Yellow Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Black
Black Black Black Black Brown Yellow Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Brown Yellow Black Black
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Brown Yellow
Black Black Black Black Black Black Black Black Black Brown
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Green Red
Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Red Black Black
Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Green Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Green Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Green Red Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Black Black Black Black Green Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Green Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Green Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Green Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Green Yellow Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Green Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Purple Red Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
9
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
0,
0,
0,
0,
0,
4,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0,
0
],
[
0,
0,
0,
0,
4,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
0,
0,
0,
0,
0
],
[
0,
0,
4,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
0,
0,
0,
0,
0
],
[
4,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
9,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
9,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
9,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
9,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
9,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
9,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
9
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
3,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
3,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
4,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
4,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
4,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
4,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
4,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\n\nOutput:\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Green Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] | Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Output:
Black Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Black Black Red Red Black
Green Black Black Black Black Black Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red
Black Red Green Black Black Black Black Black Black Black Black Black
Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Black Black Black Red Blue Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Red Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Red Blue Black Black Black Black Black Black
Black Black Blue Black Black Black Black Black Black Black
Red Blue Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Blue
Black Black Black Black Black Black Black Black Blue Black
Example 3
Input:
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green
Output:
Black Blue Black Black Black Black Black Black Black Black
Black Black Blue Red Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Blue Red Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Red Black Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Blue
Blue Red Black Black Black Black Black Black Black Black
Example 4
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Output:
Black Black Black Red Red Black Black Black Black Black Black Black
Black Black Black Red Green Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black Black Black
Black Red Green Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Red
Green Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Red Green Black
Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Red Green Black Black Black
Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Red Green Black Black Black Black Black
Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples. | The output grid for the test input grid is:
```
Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Purple Red Black Black
Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Purple Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black
``` | 8ee62060 | [
[
[
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
6,
6,
3,
3
]
],
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
0,
0,
0,
2,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
0,
0,
2,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0
],
[
0,
0,
2,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
0,
0,
0,
0,
0
],
[
2,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
2,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
]
],
[
[
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
1,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
1,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
1,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1
],
[
1,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
],
[
[
0,
0,
0,
2,
2,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
3,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
3,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
3,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
2,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
3,
0,
0,
0,
0,
0
]
]
] | [
[
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] | [
[
[
8,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
8,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
8,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
0,
0,
0,
0,
0
],
[
0,
0,
8,
2,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
0,
0,
0,
0,
0,
0,
0
]
]
] |