#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
const int maxn=18,maxm=387420489,mod=998244353;
int pd[maxm],t[(1<<maxn)];
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=t[a]+2*t[b];
return ret;
}
vector<int>tartib[18];
int adj[maxn],adja[maxn];
int n,m;
void aval(){
int nx=1;
for(int i=0;i<(1<<n);i++){
int now=1,ret=0;
for(int j=0;j<n;j++){
if((i>>j)&1){
ret+=now;
}
now*=3;
}
t[i]=ret;
}
for(int i=1;i<=n;i++){
nx*=3;
}
for(int i=0;i<nx;i++){
pair<int,int>fake=tab2(i);
tartib[__builtin_popcount(fake.first)].push_back(i);
}
}
void solve(){
for(int i=0;i<maxn;i++){
for(auto x:tartib[i]){
if(pd[x]==0){
continue;
}
pair<int,int>now=tab2(x);
for(int j=0;j<n;j++){
if((now.second>>j)&1){
now.second^=(1<<j);
pair<int,int>fake=now;
fake.first|=(1<<j);
fake.second|=(adj[j]^(adj[j]&now.first));
int tof=back3(fake.first,fake.second);
pd[tof]+=pd[x];
pd[tof]=ww(pd[tof]);
}
}
}
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
aval();
if(n>15){
return 0;
}
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);
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 |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2392 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2596 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2392 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2652 KB |
Output is correct |
40 |
Correct |
1 ms |
2652 KB |
Output is correct |
41 |
Correct |
1 ms |
2652 KB |
Output is correct |
42 |
Correct |
2 ms |
2652 KB |
Output is correct |
43 |
Correct |
1 ms |
2648 KB |
Output is correct |
44 |
Correct |
1 ms |
2648 KB |
Output is correct |
45 |
Correct |
1 ms |
2652 KB |
Output is correct |
46 |
Correct |
1 ms |
2652 KB |
Output is correct |
47 |
Correct |
1 ms |
2648 KB |
Output is correct |
48 |
Correct |
2 ms |
2904 KB |
Output is correct |
49 |
Correct |
1 ms |
2648 KB |
Output is correct |
50 |
Correct |
1 ms |
2904 KB |
Output is correct |
51 |
Correct |
1 ms |
2652 KB |
Output is correct |
52 |
Correct |
2 ms |
2652 KB |
Output is correct |
53 |
Correct |
2 ms |
2652 KB |
Output is correct |
54 |
Correct |
2 ms |
2652 KB |
Output is correct |
55 |
Correct |
2 ms |
2652 KB |
Output is correct |
56 |
Correct |
3 ms |
2652 KB |
Output is correct |
57 |
Correct |
3 ms |
2652 KB |
Output is correct |
58 |
Correct |
2 ms |
2652 KB |
Output is correct |
59 |
Correct |
2 ms |
2652 KB |
Output is correct |
60 |
Correct |
2 ms |
2652 KB |
Output is correct |
61 |
Correct |
2 ms |
2652 KB |
Output is correct |
62 |
Correct |
2 ms |
2652 KB |
Output is correct |
63 |
Correct |
2 ms |
2652 KB |
Output is correct |
64 |
Correct |
3 ms |
2652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2392 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2596 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2392 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2652 KB |
Output is correct |
40 |
Correct |
1 ms |
2652 KB |
Output is correct |
41 |
Correct |
1 ms |
2652 KB |
Output is correct |
42 |
Correct |
2 ms |
2652 KB |
Output is correct |
43 |
Correct |
1 ms |
2648 KB |
Output is correct |
44 |
Correct |
1 ms |
2648 KB |
Output is correct |
45 |
Correct |
1 ms |
2652 KB |
Output is correct |
46 |
Correct |
1 ms |
2652 KB |
Output is correct |
47 |
Correct |
1 ms |
2648 KB |
Output is correct |
48 |
Correct |
2 ms |
2904 KB |
Output is correct |
49 |
Correct |
1 ms |
2648 KB |
Output is correct |
50 |
Correct |
1 ms |
2904 KB |
Output is correct |
51 |
Correct |
1 ms |
2652 KB |
Output is correct |
52 |
Correct |
2 ms |
2652 KB |
Output is correct |
53 |
Correct |
2 ms |
2652 KB |
Output is correct |
54 |
Correct |
2 ms |
2652 KB |
Output is correct |
55 |
Correct |
2 ms |
2652 KB |
Output is correct |
56 |
Correct |
3 ms |
2652 KB |
Output is correct |
57 |
Correct |
3 ms |
2652 KB |
Output is correct |
58 |
Correct |
2 ms |
2652 KB |
Output is correct |
59 |
Correct |
2 ms |
2652 KB |
Output is correct |
60 |
Correct |
2 ms |
2652 KB |
Output is correct |
61 |
Correct |
2 ms |
2652 KB |
Output is correct |
62 |
Correct |
2 ms |
2652 KB |
Output is correct |
63 |
Correct |
2 ms |
2652 KB |
Output is correct |
64 |
Correct |
3 ms |
2652 KB |
Output is correct |
65 |
Correct |
152 ms |
28372 KB |
Output is correct |
66 |
Correct |
159 ms |
27488 KB |
Output is correct |
67 |
Correct |
154 ms |
26652 KB |
Output is correct |
68 |
Correct |
161 ms |
26732 KB |
Output is correct |
69 |
Correct |
147 ms |
25992 KB |
Output is correct |
70 |
Correct |
150 ms |
28008 KB |
Output is correct |
71 |
Correct |
145 ms |
25576 KB |
Output is correct |
72 |
Correct |
148 ms |
26352 KB |
Output is correct |
73 |
Correct |
146 ms |
27252 KB |
Output is correct |
74 |
Correct |
150 ms |
25828 KB |
Output is correct |
75 |
Correct |
157 ms |
26876 KB |
Output is correct |
76 |
Correct |
153 ms |
26168 KB |
Output is correct |
77 |
Correct |
491 ms |
81888 KB |
Output is correct |
78 |
Correct |
488 ms |
80076 KB |
Output is correct |
79 |
Correct |
499 ms |
79796 KB |
Output is correct |
80 |
Correct |
481 ms |
76976 KB |
Output is correct |
81 |
Correct |
501 ms |
77736 KB |
Output is correct |
82 |
Correct |
505 ms |
77204 KB |
Output is correct |
83 |
Correct |
478 ms |
74704 KB |
Output is correct |
84 |
Correct |
482 ms |
73292 KB |
Output is correct |
85 |
Correct |
457 ms |
77176 KB |
Output is correct |
86 |
Correct |
471 ms |
74616 KB |
Output is correct |
87 |
Correct |
462 ms |
75092 KB |
Output is correct |
88 |
Correct |
464 ms |
72644 KB |
Output is correct |
89 |
Correct |
467 ms |
73208 KB |
Output is correct |
90 |
Correct |
466 ms |
76708 KB |
Output is correct |
91 |
Correct |
454 ms |
73648 KB |
Output is correct |
92 |
Correct |
469 ms |
72728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2392 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2596 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2392 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2652 KB |
Output is correct |
40 |
Correct |
1 ms |
2652 KB |
Output is correct |
41 |
Correct |
1 ms |
2652 KB |
Output is correct |
42 |
Correct |
2 ms |
2652 KB |
Output is correct |
43 |
Correct |
1 ms |
2648 KB |
Output is correct |
44 |
Correct |
1 ms |
2648 KB |
Output is correct |
45 |
Correct |
1 ms |
2652 KB |
Output is correct |
46 |
Correct |
1 ms |
2652 KB |
Output is correct |
47 |
Correct |
1 ms |
2648 KB |
Output is correct |
48 |
Correct |
2 ms |
2904 KB |
Output is correct |
49 |
Correct |
1 ms |
2648 KB |
Output is correct |
50 |
Correct |
1 ms |
2904 KB |
Output is correct |
51 |
Correct |
1 ms |
2652 KB |
Output is correct |
52 |
Correct |
2 ms |
2652 KB |
Output is correct |
53 |
Correct |
2 ms |
2652 KB |
Output is correct |
54 |
Correct |
2 ms |
2652 KB |
Output is correct |
55 |
Correct |
2 ms |
2652 KB |
Output is correct |
56 |
Correct |
3 ms |
2652 KB |
Output is correct |
57 |
Correct |
3 ms |
2652 KB |
Output is correct |
58 |
Correct |
2 ms |
2652 KB |
Output is correct |
59 |
Correct |
2 ms |
2652 KB |
Output is correct |
60 |
Correct |
2 ms |
2652 KB |
Output is correct |
61 |
Correct |
2 ms |
2652 KB |
Output is correct |
62 |
Correct |
2 ms |
2652 KB |
Output is correct |
63 |
Correct |
2 ms |
2652 KB |
Output is correct |
64 |
Correct |
3 ms |
2652 KB |
Output is correct |
65 |
Correct |
152 ms |
28372 KB |
Output is correct |
66 |
Correct |
159 ms |
27488 KB |
Output is correct |
67 |
Correct |
154 ms |
26652 KB |
Output is correct |
68 |
Correct |
161 ms |
26732 KB |
Output is correct |
69 |
Correct |
147 ms |
25992 KB |
Output is correct |
70 |
Correct |
150 ms |
28008 KB |
Output is correct |
71 |
Correct |
145 ms |
25576 KB |
Output is correct |
72 |
Correct |
148 ms |
26352 KB |
Output is correct |
73 |
Correct |
146 ms |
27252 KB |
Output is correct |
74 |
Correct |
150 ms |
25828 KB |
Output is correct |
75 |
Correct |
157 ms |
26876 KB |
Output is correct |
76 |
Correct |
153 ms |
26168 KB |
Output is correct |
77 |
Correct |
491 ms |
81888 KB |
Output is correct |
78 |
Correct |
488 ms |
80076 KB |
Output is correct |
79 |
Correct |
499 ms |
79796 KB |
Output is correct |
80 |
Correct |
481 ms |
76976 KB |
Output is correct |
81 |
Correct |
501 ms |
77736 KB |
Output is correct |
82 |
Correct |
505 ms |
77204 KB |
Output is correct |
83 |
Correct |
478 ms |
74704 KB |
Output is correct |
84 |
Correct |
482 ms |
73292 KB |
Output is correct |
85 |
Correct |
457 ms |
77176 KB |
Output is correct |
86 |
Correct |
471 ms |
74616 KB |
Output is correct |
87 |
Correct |
462 ms |
75092 KB |
Output is correct |
88 |
Correct |
464 ms |
72644 KB |
Output is correct |
89 |
Correct |
467 ms |
73208 KB |
Output is correct |
90 |
Correct |
466 ms |
76708 KB |
Output is correct |
91 |
Correct |
454 ms |
73648 KB |
Output is correct |
92 |
Correct |
469 ms |
72728 KB |
Output is correct |
93 |
Execution timed out |
3007 ms |
453188 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |