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 <iostream>
#include <vector>
#include <stdio.h>
#include <algorithm>
#include <set>
#include <queue>
#include <map>
#include <bitset>
#define ll long long
#define ull unsigned ll
#define f first
#define s second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pb push_back
#define epb emplace_back
using namespace std;
const ll mod = 998244353;
ll dp[(1 <<18)];
int main(){
int n; cin >> n;
int m; cin >> m;
bool ind[(1 << n)];
fill(ind, ind + (1 << n), 1);
for(int i = 0; i < m; i++){
int u, v; cin >> u >> v;
u--, v--;
ind[(1 << u) | (1 << v)] = false;
}
for(int i = 1; i < (1 << n); i++){
for(int j = 0; j < n; j++){
if(i & (1 << j)){
ind[i] &= ind[i ^ (1 << j)];
}
}
}
dp[0] = 1;
for(int i = 1; i < (1 << n); i++){
int j = i;
while(j){
if(!ind[j]){
j = (j - 1) & i;
continue;
}
if(__builtin_popcount(j) & 1)
dp[i] += dp[i ^ j];
else dp[i] -= dp[i ^ j];
dp[i] %= mod; dp[i] += mod; dp[i] %= mod;
j = (j - 1) & i;
}
// cout << dp[i] << "\n";
}
cout << (dp[(1 << n) - 1] * m) % mod * ((mod + 1) / 2) % mod;
return 0;
}
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