#include using namespace std; static inline void shift_or(const vector& dp, vector& ndp, int s, int nb) { int off = s >> 6; int r = s & 63; for (int i = nb - 1; i >= 0; i--) { uint64_t v = 0; int j = i - off; if(j >= 0) v |= dp[j] << r; if(r && j - 1 >= 0) v |= dp[j - 1] >> (64 - r); ndp[i] |= v; } } static inline int count_bits(const vector& dp, int L) { int nb = L >> 6; int rem = L & 63; int cnt = 0; for (int i = 0; i < nb; i++) cnt += __builtin_popcountll(dp[i]); if(rem) { uint64_t mask = (1ULL << rem) - 1; cnt += __builtin_popcountll(dp[nb] & mask); } return cnt; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, F; cin >> N >> F; vector A(N), B(N), C(N); for (int i = 0; i < N; i++) cin >> A[i]; for (int i = 0; i < N; i++) cin >> B[i]; for (int i = 0; i < N; i++) cin >> C[i]; int max_sum = N * F; int maxBlock = (max_sum + 1 + 63) >> 6; vector dp(maxBlock, 0), ndp(maxBlock, 0); dp[0] = 1; int cur = 0; for (int i = 0; i < N; i++){ cur += F; int L = cur + 1; int nb = (L + 63) >> 6; memset(ndp.data(), 0, nb * sizeof(uint64_t)); shift_or(dp, ndp, A[i], nb); shift_or(dp, ndp, B[i], nb); shift_or(dp, ndp, C[i], nb); int rem = L & 63; if(rem) ndp[nb - 1] &= ((uint64_t)1 << rem) - 1; for (int j = 0; j < nb; j++) dp[j] = ndp[j]; cout << count_bits(dp, L) << endl; } return 0; }