#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define ll long long
#define maksim gay
#define int ll
#define pb push_back
#define sz(s) (int)s.size()
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define mem(a,i) memset(a,i,sizeof(a))
#define in insert
#define lb lower_bound
#define ub upper_bound
const int MAX=20;
const int inf=1e10;
const int N=2e5;
const int mod=998244353;
int binpow(int a,int n){
if(n==0)return 1;
if(n%2)return a*binpow(a,n-1)%mod;
int k=binpow(a,n/2);
return k*k%mod;
}
int n,m;
int d[20][20];
int a[MAX],b[MAX];
int dp[(1<<20)];
int f[(1<<20)];
int cnt[(1<<20)];
int bit(int i,int j){
return (i>>j)&1;
}
void add(int &x,int y){
x+=y;
if(x>=mod)x-=mod;
if(x<0)x+=mod;
}
void solve(){
cin>>n>>m;
for(int i=0;i<m;i++){
cin>>a[i]>>b[i];
d[a[i]-1][b[i]-1]=d[b[i]-1][a[i]-1]=1;
}
for(int i=0;i<(1<<n);i++){
f[i]=1;
for(int j=0;j<n;j++){
if(bit(i,j))cnt[i]++;
for(int k=j+1;k<n;k++){
// cout<<i<<" "<<j<<" "<<k<<" "<<d[j][k]<<"\n";
if(bit(i,j)&&bit(i,k)&&d[j][k]){
f[i]=0;
}
}
}
// cout<<i<<" "<<f[i]<<"\n";
}
dp[0]=1;
for(int i=1;i<(1<<n);i++){
for(int j=i;j;j=(j-1)&i){
if(f[j]){
// cout<<i<<" "<<j<<"\n";
if(cnt[j]%2==1){
add(dp[i],dp[j^i]);
}
else add(dp[i],-dp[j^i]);
}
}
// cout<<i<<" "<<dp[i]<<"\n";
}
// cout<<dp[(1<<n)-1]<<"\n";
cout<<dp[(1<<n)-1]*m%mod*binpow(2,mod-2)%mod<<"\n";
}
main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t=1;
// cin>>t;
while(t--){
solve();
}
}
Compilation message
amusementpark.cpp:85:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
85 | main(){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4528 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4528 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4296 KB |
Output is correct |
13 |
Correct |
1 ms |
4696 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4528 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4296 KB |
Output is correct |
13 |
Correct |
1 ms |
4696 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4568 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4452 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
1 ms |
4444 KB |
Output is correct |
34 |
Correct |
1 ms |
4444 KB |
Output is correct |
35 |
Correct |
1 ms |
4444 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4440 KB |
Output is correct |
39 |
Correct |
1 ms |
4444 KB |
Output is correct |
40 |
Correct |
1 ms |
4568 KB |
Output is correct |
41 |
Correct |
1 ms |
4444 KB |
Output is correct |
42 |
Correct |
2 ms |
4444 KB |
Output is correct |
43 |
Correct |
1 ms |
4440 KB |
Output is correct |
44 |
Correct |
1 ms |
4444 KB |
Output is correct |
45 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
46 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4528 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4296 KB |
Output is correct |
13 |
Correct |
1 ms |
4696 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4568 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4452 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
1 ms |
4444 KB |
Output is correct |
34 |
Correct |
1 ms |
4444 KB |
Output is correct |
35 |
Correct |
1 ms |
4444 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4440 KB |
Output is correct |
39 |
Correct |
1 ms |
4444 KB |
Output is correct |
40 |
Correct |
1 ms |
4568 KB |
Output is correct |
41 |
Correct |
1 ms |
4444 KB |
Output is correct |
42 |
Correct |
2 ms |
4444 KB |
Output is correct |
43 |
Correct |
1 ms |
4440 KB |
Output is correct |
44 |
Correct |
1 ms |
4444 KB |
Output is correct |
45 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
46 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4528 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4296 KB |
Output is correct |
13 |
Correct |
1 ms |
4696 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4444 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4568 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4452 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
1 ms |
4444 KB |
Output is correct |
34 |
Correct |
1 ms |
4444 KB |
Output is correct |
35 |
Correct |
1 ms |
4444 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4440 KB |
Output is correct |
39 |
Correct |
1 ms |
4444 KB |
Output is correct |
40 |
Correct |
1 ms |
4568 KB |
Output is correct |
41 |
Correct |
1 ms |
4444 KB |
Output is correct |
42 |
Correct |
2 ms |
4444 KB |
Output is correct |
43 |
Correct |
1 ms |
4440 KB |
Output is correct |
44 |
Correct |
1 ms |
4444 KB |
Output is correct |
45 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
46 |
Halted |
0 ms |
0 KB |
- |