제출 #748188

#제출 시각아이디문제언어결과실행 시간메모리
748188PVSekharAmusement Park (CEOI19_amusementpark)C++14
63 / 100
3055 ms1076 KiB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
// const ll MOD = 1e9+7;
const ll MOD = 998244353;
const ll N=18;
const ll inv=499122177;
int edges[N+1];
ll ans[(1<<N)+1];

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    for(int i=0;i<=N;i++)edges[i]=0;
    for(int i=0;i<=N;i++)ans[i]=0;

    int n,m,a,b;
    cin>>n>>m;
    for (int i = 0; i < m; i++)
    {
        cin>>a>>b;
        a--;
        b--;
        edges[a]+=(1<<b);
        edges[b]+=(1<<a);
    }
    ans[0]=1;
    for (int i = 1; i < (1<<n); i++)
    {
        for (int j = i; j > 0; j=((j-1)&i))
        {
            int check=1,cnt=0;
            for (int k = 0; k < n; k++)
            {
                if((j^(1<<k))<j){
                    if((edges[k]&j))check=0;
                }
                if(!check)break;
            }
            if(!check)continue;
            for (int k = 0; k < n; k++)if((j^(1<<k))<j)cnt++;
            cnt%=2;
            // cout<<i<<" "<<j<<" "<<cnt<<"\n";
            if(cnt){
                ans[i]+=ans[i^j];
            }else{
                ans[i]-=ans[i^j];
                ans[i]+=MOD;
            }
            ans[i]%=MOD;
        }
    }
    cout<<(((ans[(1<<n)-1]*m)%MOD)*inv)%MOD<<"\n";
    return 0;   
}
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