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- #include <iostream>
- #include <vector>
- #include <algorithm>
- #include <set>
- #include <cstring>
- using namespace std;
- typedef long long ll;
- const int maxn = 21;
- const int MOD = 1e9 + 7;
- int n;
- int mat[maxn][maxn];
- int dp[maxn][1 << maxn];
- int rec(int at, int women_taken) {
- if(__builtin_popcount(women_taken) == n) {
- return 1;
- }
- if(at >= n) {
- return 0;
- }
- if(dp[at][women_taken] != -1) {
- return dp[at][women_taken];
- }
- int res = 0;
- for(int i = 0; i < n; i++) {
- if(mat[at][i] == 1) {
- if((women_taken & (1 << i)) == 0) {
- int new_taken = (women_taken | (1 << i));
- res += rec(at + 1, new_taken);
- res %= MOD;
- }
- }
- }
- dp[at][women_taken] = res;
- return res;
- }
- int main()
- {
- ios_base::sync_with_stdio(false);
- memset(dp, -1, sizeof dp);
- cin >> n;
- for(int i = 0; i < n; i++) {
- for(int j = 0; j < n; j++) {
- cin >> mat[i][j];
- }
- }
- cout << rec(0, 0) << endl;
- return 0;
- }
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