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O.cpp
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44 lines (39 loc) · 782 Bytes
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//#pragma GCC optimize "trapv"
#include<bits/stdc++.h>
#define ll long long int
#define fab(a,b,i) for(int i=a;i<b;i++)
#define pb push_back
#define db double
#define mp make_pair
#define endl "\n"
#define f first
#define se second
#define all(x) x.begin(),x.end()
#define MOD 1000000007
#define quick ios_base::sync_with_stdio(false);cin.tie(NULL)
using namespace std;
//dp with bitmasking
ll dp[1<<21+1];
int main()
{ quick;
int n;
cin>>n;
bool allowed[n][n];
fab(0,n,i)
fab(0,n,j)
cin>>allowed[i][j];
dp[0]=1;
for(int mask=0;mask<(1<<n);mask++)
{
int x=__builtin_popcount(mask);
for(int i=0;i<n;i++)
{
if(allowed[x][i] and (mask&(1LL<<i))==0)
{
dp[mask|(1LL<<i)]=(dp[mask|(1LL<<i)]+dp[mask])%MOD;
}
}
}
cout<<dp[(1<<n)-1]<<endl;
return 0;
}