/* -*- coding: utf-8 -*- * * 1631.cc: No.1631 Sorting Integers (Multiple of K) Easy - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 14; const int NBITS = 1 << MAX_N; const int MAX_K = 1000; /* typedef */ typedef long long ll; typedef vector vi; /* global variables */ int cs[10], bnums[NBITS], ts[MAX_N], bts[NBITS]; vi bvs[MAX_N + 1]; ll dp[NBITS][MAX_K]; /* subroutines */ /* main */ int main() { int n, k; scanf("%d%d", &n, &k); for (int i = 1; i <= 9; i++) scanf("%d", cs + i); ts[0] = 1; for (int i = 1; i < n; i++) ts[i] = ts[i - 1] * 10 % k; int nbits = 1 << n; bnums[0] = bts[0] = 0; for (int bits = 1, msb = 1, msi = 0; bits < nbits; bits++) { if ((msb << 1) <= bits) msb <<= 1, msi++; bnums[bits] = bnums[bits ^ msb] + 1; bts[bits] = (bts[bits ^ msb] + ts[msi]) % k; } for (int bits = 0; bits < nbits; bits++) bvs[bnums[bits]].push_back(bits); //for (int i = 0; i <= n; i++) printf("%lu ", bvs[i].size()); putchar('\n'); dp[0][0] = 1; for (int i = 1, l = 0; i <= 9; i++) if (cs[i] > 0) { for (auto bits: bvs[l]) for (int j = 0; j < k; j++) if (dp[bits][j] > 0) for (auto bits0: bvs[cs[i]]) if (! (bits & bits0)) dp[bits | bits0][(j + i * bts[bits0]) % k] += dp[bits][j]; l += cs[i]; } printf("%lld\n", dp[nbits - 1][0]); return 0; }