This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define mp make_pair
#define all(a) a.begin(), a.end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const ll mod = 998244353;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<vector<pii> >adj(n+1);
for (int i = 0; i < m; i++) {
int f, t;
cin >> f >> t;
f--, t--;
adj[f].push_back({t, 0});
adj[t].push_back({f, 1});
}
vector<ll> dp(1 <<n);
vector<ll> numways(1 << n);
dp[0] = 0;
numways[0] = 1;
vector<vector<int> > masks(n+1);
for (int i = 0; i < 1 << n; i++)
masks[__builtin_popcount(i)].push_back(i);
masks.pop_back();
for (vector<int> a : masks) {
for (int mask : a) {
for (int to_add = 0; to_add < n; to_add++) {
ll c = 0;
if (((1 << to_add) & mask) != 0)
continue;
for (pii b : adj[to_add]) {
if (((1 << b.first) & mask) == 0)
continue;
c += b.second;
}
int new_mas = (1 << to_add) + mask;
numways[new_mas] += numways[mask]; numways[new_mas] %= mod;
dp[new_mas] += (dp[mask] + (numways[mask] * c) % mod) % mod;
dp[new_mas] %= mod;
}
}
}
cout << dp[(1 << n) - 1] << "\n";
}
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