#include<bits/stdc++.h>
using namespace std;
const int maxn=15,maxm=14348907,mod=998244353;
int dp[maxm],pd[maxm];
long long mypow(long long m,long long y){
if(y==0){
return 1;
}
long long p=mypow(m,(y>>1));
p*=p;
p%=mod;
if(y&1){
p*=m;
p%=mod;
}
return p;
}
int ww(int a){
if(a>=mod){
a-=mod;
}
return a;
}
pair<int,int>tab2(int a){
int now=0;
pair<int,int>ret=make_pair(0,0);
while(a!=0){
if(a%3==1){
ret.first+=(1<<now);
}else if(a%3==2){
ret.second+=(1<<now);
}
now++;
a/=3;
}
return ret;
}
int back3(int a,int b){
int ret=0,now=1;
while(a+b!=0){
if(a&1){
ret+=now;
}
else if(b&1){
ret+=2*now;
}
now*=3;
a>>=1;
b>>=1;
}
return ret;
}
vector<int>tartib[18];
int adj[maxn],adja[maxn];
int n,m;
void aval(){
int nx=1;
for(int i=1;i<=n;i++){
nx*=3;
}
for(int i=0;i<nx;i++){
pair<int,int>fake=tab2(i);
// cout<<i<<" "<<fake.first<<" "<<fake.second<<"\n";
tartib[__builtin_popcount(fake.first)].push_back(i);
}
}
void solve(){
for(int i=0;i<maxn;i++){
for(auto x:tartib[i]){
pair<int,int>now=tab2(x);
// cout<<now.first<<" "<<now.second<<" "<<pd[x]<<" "<<dp[x]<<endl;
for(int j=0;j<n;j++){
if((now.second>>j)&1){
pair<int,int>fake=now;
fake.first|=(1<<j);
for(int h=0;h<=j;h++){
if((fake.second>>h)&1){
fake.second^=(1<<h);
}
}
fake.second|=(adj[j]^(adj[j]&now.first));
int tof=back3(fake.first,fake.second);
// cout<<now.first<<" "<<now.second<<" "<<fake.first<<" "<<fake.second<<" "<<adja[j]<<" salam\n";
pd[tof]+=pd[x];
pd[tof]=ww(pd[tof]);
// dp[tof]+=dp[x]+pd[x]*(__builtin_popcount(adja[j]&now.first));
}
}
}
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
aval();
for(int i=0;i<m;i++){
int u,v;
cin>>u>>v;
u--;
v--;
adj[u]|=(1<<v);
adj[v]|=(1<<u);
adja[u]|=(1<<v);
}
pd[back3(0,(1<<n)-1)]=1;
solve();
int res=back3((1<<n)-1,0);
//dp[res]=pd[res]*m;
pd[res]=1ll*pd[res]*m%mod;
pd[res]=1ll*pd[res]*mypow(2,mod-2)%mod;
cout<<pd[res]<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
2 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
2 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
2 ms |
348 KB |
Output is correct |
38 |
Correct |
2 ms |
548 KB |
Output is correct |
39 |
Correct |
5 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
604 KB |
Output is correct |
41 |
Correct |
5 ms |
604 KB |
Output is correct |
42 |
Correct |
5 ms |
604 KB |
Output is correct |
43 |
Correct |
5 ms |
604 KB |
Output is correct |
44 |
Correct |
5 ms |
604 KB |
Output is correct |
45 |
Correct |
5 ms |
604 KB |
Output is correct |
46 |
Correct |
5 ms |
600 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
5 ms |
604 KB |
Output is correct |
49 |
Correct |
4 ms |
604 KB |
Output is correct |
50 |
Correct |
5 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
15 ms |
3044 KB |
Output is correct |
53 |
Correct |
15 ms |
2908 KB |
Output is correct |
54 |
Correct |
15 ms |
2904 KB |
Output is correct |
55 |
Correct |
15 ms |
2908 KB |
Output is correct |
56 |
Correct |
15 ms |
3044 KB |
Output is correct |
57 |
Correct |
15 ms |
2908 KB |
Output is correct |
58 |
Correct |
15 ms |
3008 KB |
Output is correct |
59 |
Correct |
16 ms |
2904 KB |
Output is correct |
60 |
Correct |
15 ms |
2688 KB |
Output is correct |
61 |
Correct |
15 ms |
2908 KB |
Output is correct |
62 |
Correct |
15 ms |
2908 KB |
Output is correct |
63 |
Correct |
15 ms |
2908 KB |
Output is correct |
64 |
Correct |
16 ms |
2908 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
2 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
2 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
2 ms |
348 KB |
Output is correct |
38 |
Correct |
2 ms |
548 KB |
Output is correct |
39 |
Correct |
5 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
604 KB |
Output is correct |
41 |
Correct |
5 ms |
604 KB |
Output is correct |
42 |
Correct |
5 ms |
604 KB |
Output is correct |
43 |
Correct |
5 ms |
604 KB |
Output is correct |
44 |
Correct |
5 ms |
604 KB |
Output is correct |
45 |
Correct |
5 ms |
604 KB |
Output is correct |
46 |
Correct |
5 ms |
600 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
5 ms |
604 KB |
Output is correct |
49 |
Correct |
4 ms |
604 KB |
Output is correct |
50 |
Correct |
5 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
15 ms |
3044 KB |
Output is correct |
53 |
Correct |
15 ms |
2908 KB |
Output is correct |
54 |
Correct |
15 ms |
2904 KB |
Output is correct |
55 |
Correct |
15 ms |
2908 KB |
Output is correct |
56 |
Correct |
15 ms |
3044 KB |
Output is correct |
57 |
Correct |
15 ms |
2908 KB |
Output is correct |
58 |
Correct |
15 ms |
3008 KB |
Output is correct |
59 |
Correct |
16 ms |
2904 KB |
Output is correct |
60 |
Correct |
15 ms |
2688 KB |
Output is correct |
61 |
Correct |
15 ms |
2908 KB |
Output is correct |
62 |
Correct |
15 ms |
2908 KB |
Output is correct |
63 |
Correct |
15 ms |
2908 KB |
Output is correct |
64 |
Correct |
16 ms |
2908 KB |
Output is correct |
65 |
Correct |
1728 ms |
42276 KB |
Output is correct |
66 |
Correct |
1755 ms |
39352 KB |
Output is correct |
67 |
Correct |
1731 ms |
36644 KB |
Output is correct |
68 |
Correct |
1721 ms |
36224 KB |
Output is correct |
69 |
Correct |
1720 ms |
43756 KB |
Output is correct |
70 |
Correct |
1704 ms |
43532 KB |
Output is correct |
71 |
Correct |
1706 ms |
36084 KB |
Output is correct |
72 |
Correct |
1709 ms |
32820 KB |
Output is correct |
73 |
Correct |
1698 ms |
43656 KB |
Output is correct |
74 |
Correct |
1692 ms |
35872 KB |
Output is correct |
75 |
Correct |
1704 ms |
33604 KB |
Output is correct |
76 |
Correct |
1685 ms |
29504 KB |
Output is correct |
77 |
Execution timed out |
3030 ms |
122872 KB |
Time limit exceeded |
78 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
2 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
2 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
2 ms |
348 KB |
Output is correct |
38 |
Correct |
2 ms |
548 KB |
Output is correct |
39 |
Correct |
5 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
604 KB |
Output is correct |
41 |
Correct |
5 ms |
604 KB |
Output is correct |
42 |
Correct |
5 ms |
604 KB |
Output is correct |
43 |
Correct |
5 ms |
604 KB |
Output is correct |
44 |
Correct |
5 ms |
604 KB |
Output is correct |
45 |
Correct |
5 ms |
604 KB |
Output is correct |
46 |
Correct |
5 ms |
600 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
5 ms |
604 KB |
Output is correct |
49 |
Correct |
4 ms |
604 KB |
Output is correct |
50 |
Correct |
5 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
15 ms |
3044 KB |
Output is correct |
53 |
Correct |
15 ms |
2908 KB |
Output is correct |
54 |
Correct |
15 ms |
2904 KB |
Output is correct |
55 |
Correct |
15 ms |
2908 KB |
Output is correct |
56 |
Correct |
15 ms |
3044 KB |
Output is correct |
57 |
Correct |
15 ms |
2908 KB |
Output is correct |
58 |
Correct |
15 ms |
3008 KB |
Output is correct |
59 |
Correct |
16 ms |
2904 KB |
Output is correct |
60 |
Correct |
15 ms |
2688 KB |
Output is correct |
61 |
Correct |
15 ms |
2908 KB |
Output is correct |
62 |
Correct |
15 ms |
2908 KB |
Output is correct |
63 |
Correct |
15 ms |
2908 KB |
Output is correct |
64 |
Correct |
16 ms |
2908 KB |
Output is correct |
65 |
Correct |
1728 ms |
42276 KB |
Output is correct |
66 |
Correct |
1755 ms |
39352 KB |
Output is correct |
67 |
Correct |
1731 ms |
36644 KB |
Output is correct |
68 |
Correct |
1721 ms |
36224 KB |
Output is correct |
69 |
Correct |
1720 ms |
43756 KB |
Output is correct |
70 |
Correct |
1704 ms |
43532 KB |
Output is correct |
71 |
Correct |
1706 ms |
36084 KB |
Output is correct |
72 |
Correct |
1709 ms |
32820 KB |
Output is correct |
73 |
Correct |
1698 ms |
43656 KB |
Output is correct |
74 |
Correct |
1692 ms |
35872 KB |
Output is correct |
75 |
Correct |
1704 ms |
33604 KB |
Output is correct |
76 |
Correct |
1685 ms |
29504 KB |
Output is correct |
77 |
Execution timed out |
3030 ms |
122872 KB |
Time limit exceeded |
78 |
Halted |
0 ms |
0 KB |
- |