// BOOMERANG CREWS // Official Solution by Jacob Plachta #define DEBUG 0 #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define LL long long #define LD long double #define PR pair #define Fox(i,n) for (i=0; i=0; i--) #define FoxR1(i,n) for (i=n; i>0; i--) #define FoxRI(i,a,b) for (i=b; i>=a; i--) #define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) #define Min(a,b) a=min(a,b) #define Max(a,b) a=max(a,b) #define Sz(s) int((s).size()) #define All(s) (s).begin(),(s).end() #define Fill(s,v) memset(s,v,sizeof(s)) #define pb push_back #define mp make_pair #define x first #define y second template T Abs(T x) { return(x<0 ? -x : x); } template T Sqr(T x) { return(x*x); } string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } const int INF = (int)1e9; const LD EPS = 1e-9; const LD PI = acos(-1.0); //#if DEBUG #define GETCHAR getchar /*#else #define GETCHAR getchar_unlocked #endif*/ bool Read(int &x) { char c,r=0,n=0; x=0; for(;;) { c=GETCHAR(); if ((c<0) && (!r)) return(0); if ((c=='-') && (!r)) n=1; else if ((c>='0') && (c<='9')) x=x*10+c-'0',r=1; else if (r) break; } if (n) x=-x; return(1); } int main() { if (DEBUG) freopen("in.txt","r",stdin); int T,t; int N,M,D; int i,j,c,free; int r1,r2,m; static int A[100000],B[100000]; set S; set::iterator I; Read(T); Fox1(t,T) { Read(N),Read(M),Read(D); Fox(i,N) Read(A[i]); Fox(i,M) Read(B[i]); sort(A,A+N); reverse(A,A+N); j=free=0; Fox(i,M) if (B[i]<=A[0]) free++; else B[j++]=B[i]; M=j; sort(B,B+M); r1=0,r2=min(N,M); while (r2>r1) { m=(r1+r2+1)>>1; S.clear(); Fox(i,m) S.insert(mp(A[i]%D,i)); c=1; Fox(i,m) { I=S.lower_bound(mp(B[i]%D,-1)); if (I==S.end()) I=S.begin(); j=A[I->y],S.erase(I); c+=(B[i]-j+D-1)/D-1; if (c>N-m) goto Bad; } r1=m; continue; Bad:; r2=m-1; } printf("Case #%d: %d\n",t,free+r1); } return(0); }