#include <iostream> #include <algorithm> #include <iomanip> #include <vector> #include <queue> #include <set> #include <map> #include <tuple> #include <cmath> #include <numeric> #include <functional> #include <cassert> #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; template<typename T> vector<vector<T>> vec2d(int n, int m, T v){ return vector<vector<T>>(n, vector<T>(m, v)); } template<typename T> vector<vector<vector<T>>> vec3d(int n, int m, int k, T v){ return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, v))); } typedef long long ll; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, k; cin >> n >> k; vector<int> c(10); for(int i = 1; i <= 9; i++) cin >> c[i]; auto dp = vec3d<ll>(2, 1<<n, k, 0); dp[0][0][0] = 1; vector<int> pow10(n); pow10[0] = 1%k; for(int i = 1; i < n; i++){ pow10[i] = (pow10[i-1]*10)%k; } int sum = 0; int mask = (1<<n)-1; auto popcount = [&](int s){ int ans = 0; for(int i = 0; i < n; i++){ if(s&(1<<i)) ans++; } return ans; }; for(int i = 1; i <= 9; i++){ int cur = i%2; int pre = cur^1; for(int j = 0; j < 1<<n; j++){ for(int l = 0; l < k; l++){ dp[cur][j][l] = 0; } } for(int j = 0; j < 1<<n; j++){ if(popcount(j) != sum) continue; int rem = mask^j; vector<int> u; for(int s = rem; s >= 0; s = (s-1)&rem){ if(popcount(s) == c[i]){ assert((j&s) == 0); int nx = 0; for(int l = 0; l < n; l++){ if(s&(1<<l)) nx += pow10[l]*i; } nx %= k; for(int l = 0; l < k; l++){ dp[cur][j+s][(nx+l)%k] += dp[pre][j][l]; } } if(s == 0) break; } } sum += c[i]; } cout << dp[1][mask][0] << endl; }