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>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
const int maxn = 18;
const int mod = 998244353;
int n, m, g[maxn];
unordered_map<int,int> dp[(1<<maxn)];
int opos(int x) {
return (1<<n)-1-x;
}
void solve() {
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int u,v; cin >> u >> v; u--; v--;
g[u]+= (1<<v);
g[v]+= (1<<u);
}
dp[0][(1<<n)-1] = 1;
for(int use = 0; use < (1<<n)-1; use++) {
for(auto X : dp[use]) {
int nxt = X.fr;
int cnt = X.sc;
for(int i = 0; i < n; i++) {
if(((1<<i)&nxt) == 0) continue;
int use1 = use+(1<<i);
int nxt1 = ((nxt&opos((1<<(i+1))-1))|g[i])&(opos(use1));
dp[use1][nxt1]+= cnt;
dp[use1][nxt1]%= mod;
}
}
}
cout << dp[(1<<n)-1][0]*m%mod*((mod+1)/2)%mod << endl;
}
int32_t main() {
ios::sync_with_stdio(false); cin.tie(0);
// freopen("in.in", "r", stdin);
// freopen("out.out", "w", stdout);
int tt = 1;
// cin >> tt;
while(tt--) {
solve();
}
}
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