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Copy pathO.cpp
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68 lines (61 loc) · 1.54 KB
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// nhi btane ka h bhidu
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define mod 1000000007
#define w(t) while(t--)
#define yes cout<<"Yes\n"
#define no cout<<"No\n"
#define PI 3.14159265358979323846
#define el cout<<endl;
#define fastIO ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr)
const ll MAX=3e6+10;
const ll INF=2e18;
#define INPUT_OUTPUT {\
freopen("input.txt","r",stdin);\
freopen("output.txt","w",stdout);\
}
ll dp[21][MAX];
// Concept of Bit Masking Dp
ll call(vector<vector<ll>> &mt, ll mask = 0, ll pos = 0) {
ll n = mt.size();
//cout<<"mask "<<mask<<endl;
if(mask == ((1LL << n) - 1)) {
//cout<<"mask "<<mask<<endl;
return 1;
}
if(pos == n) return 0;
if(dp[pos][mask] != -1) return dp[pos][mask];
ll ans = 0;
for(ll i = 0; i < n; i++) {
if(!mt[pos][i]) continue;
if(mask & (1LL << i)) continue;
ans = (ans + call(mt, mask | (1LL << i), pos + 1)) % mod;
}
return dp[pos][mask] = ans % mod;
}
// logical code of program starts here.
void solve(int T) {
ll n;
cin>>n;
vector<vector<ll>> mt(n, vector<ll> (n, -1));
for(int i = 0; i < n; i++) {
for(int j = 0; j < n; j++) {
cin>>mt[i][j];
}
}
memset(dp, -1, sizeof dp);
cout<<call(mt) % mod<<endl;
}
// mian function
int main() {
#ifndef ONLINE_JUDGE
INPUT_OUTPUT;//file handlings
#endif
fastIO;// fast input output
int t;
t=1;
//cin>>t;
for(int i = 1; i <= t; i++) solve(i);
return 0;
}