#include #include #include #include #define DB(x) using namespace std; class AandBProblem { private: int L, M, N; int A[100000], B[100000]; int Q; public: void input(int l, int m, int n, int *a, int *b, int q) { L = l; M = m; N = n; for(int i = 0; i < l; i++) A[i] = a[i]; for(int i = 0; i < m; i++) B[i] = b[i]; Q = q; } //O(N(L+M)Q) vector solve1() { int i, j, k; vector ret; ret.resize(Q); for( i = 0; i < Q; i++ ) { ret[i] = 0; for( j = 1; j <= N; j++ ) { for( k = 0; k < L; k++ ) if ( A[k] == j ) break; if ( k == L ) continue; for( k = 0; k < M; k++ ) if ( B[k] + i == j ) break; if ( k == M ) continue; ret[i]++; } } return ret; } //O(NQ)の定数1なやつ。 vector solve2() { int i, j; vector ret; ret.resize(Q); for( i = 0; i < Q; i++ ) { ret[i] = 0; vector paket; paket.resize(N+1+i); for( j = 0; j < N+1+i; j++ ) paket[j] = 0; for( j = 0; j < L; j++ ) { paket[A[j]]++; } for( j = 0; j < M; j++ ) { paket[B[j]+i]++; } for( j = 0; j < N+1; j++ ) { if ( paket[j] == 2 ) ret[i]++; } } return ret; } //O(LM)の定数ちょっと速いやつ vector solve3() { int i, j; int ans[100001] = {0}; sort(A, A+L); sort(B, B+M); for( i = 0; i < L; i++ ) { for( j = 0; j < M; j++ ) { if ( B[j] > A[i] ) break; ans[ A[i] - B[j] ]++; } } vector ret; for( i = 0; i < Q; i++ ) ret.push_back(ans[i]); return ret; } //想定解:ビットで畳み込んで定数高速化したO(NQ)解法 vector solve4() { unsigned short int uA[8000] = {0}, uB[8000] = {0}; short int bcnt[65536] = {0}; for(int i = 0; i < L; i++ ) uA[A[i]/16] += (1 << (A[i]%16)); for(int i = 0; i < M; i++ ) uB[B[i]/16] += (1 << (B[i]%16)); for(int i = 0; i < 65536; i++ ) { for(int j = 0; j < 16; j++ ) bcnt[i] += (i>>j)&1; } short int n = N/16 + 3; vector ans; ans.resize(Q, 0); for(int i = 0; i < Q; i++ ) { for( short int j = 0; j < n; j++ ) { ans[i] += bcnt[uA[j]&uB[j]]; } for( short int j = n - 1; j >= 0; j-- ) { uB[j+1] += (uB[j] >> 15); uB[j] = (uB[j] << 1); } } return ans; } }test; int L, M, N; int A[100000], B[100000]; int Q; int main() { scanf("%d%d%d", &L, &M, &N); for(int i = 0; i < L; i++ ) scanf("%d", A+i); for(int i = 0; i < M; i++ ) scanf("%d", B+i); scanf("%d", &Q); test.input(L, M, N, A, B, Q); //printf("Test\n"); //vector res2 = test.solve2(); vector res4 = test.solve4(); for(int i = 0; i < Q; i++ ) printf("%d\n", res4[i]); return 0; }