#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;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
2 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
336 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
336 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
328 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
328 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
328 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
2 ms |
340 KB |
Output is correct |
53 |
Correct |
2 ms |
212 KB |
Output is correct |
54 |
Correct |
2 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
2 ms |
340 KB |
Output is correct |
62 |
Correct |
2 ms |
340 KB |
Output is correct |
63 |
Correct |
2 ms |
340 KB |
Output is correct |
64 |
Correct |
2 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
2 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
336 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
336 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
328 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
328 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
328 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
2 ms |
340 KB |
Output is correct |
53 |
Correct |
2 ms |
212 KB |
Output is correct |
54 |
Correct |
2 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
2 ms |
340 KB |
Output is correct |
62 |
Correct |
2 ms |
340 KB |
Output is correct |
63 |
Correct |
2 ms |
340 KB |
Output is correct |
64 |
Correct |
2 ms |
336 KB |
Output is correct |
65 |
Correct |
64 ms |
416 KB |
Output is correct |
66 |
Correct |
54 ms |
352 KB |
Output is correct |
67 |
Correct |
45 ms |
404 KB |
Output is correct |
68 |
Correct |
39 ms |
340 KB |
Output is correct |
69 |
Correct |
180 ms |
352 KB |
Output is correct |
70 |
Correct |
135 ms |
432 KB |
Output is correct |
71 |
Correct |
141 ms |
568 KB |
Output is correct |
72 |
Correct |
144 ms |
608 KB |
Output is correct |
73 |
Correct |
94 ms |
348 KB |
Output is correct |
74 |
Correct |
91 ms |
436 KB |
Output is correct |
75 |
Correct |
97 ms |
340 KB |
Output is correct |
76 |
Correct |
103 ms |
340 KB |
Output is correct |
77 |
Correct |
213 ms |
496 KB |
Output is correct |
78 |
Correct |
179 ms |
512 KB |
Output is correct |
79 |
Correct |
172 ms |
564 KB |
Output is correct |
80 |
Correct |
267 ms |
460 KB |
Output is correct |
81 |
Correct |
120 ms |
548 KB |
Output is correct |
82 |
Correct |
150 ms |
460 KB |
Output is correct |
83 |
Correct |
105 ms |
460 KB |
Output is correct |
84 |
Correct |
97 ms |
544 KB |
Output is correct |
85 |
Correct |
701 ms |
744 KB |
Output is correct |
86 |
Correct |
432 ms |
656 KB |
Output is correct |
87 |
Correct |
451 ms |
776 KB |
Output is correct |
88 |
Correct |
467 ms |
620 KB |
Output is correct |
89 |
Correct |
300 ms |
540 KB |
Output is correct |
90 |
Correct |
296 ms |
512 KB |
Output is correct |
91 |
Correct |
345 ms |
596 KB |
Output is correct |
92 |
Correct |
328 ms |
544 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
2 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
336 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
336 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
328 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
328 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
328 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
2 ms |
340 KB |
Output is correct |
53 |
Correct |
2 ms |
212 KB |
Output is correct |
54 |
Correct |
2 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
2 ms |
340 KB |
Output is correct |
62 |
Correct |
2 ms |
340 KB |
Output is correct |
63 |
Correct |
2 ms |
340 KB |
Output is correct |
64 |
Correct |
2 ms |
336 KB |
Output is correct |
65 |
Correct |
64 ms |
416 KB |
Output is correct |
66 |
Correct |
54 ms |
352 KB |
Output is correct |
67 |
Correct |
45 ms |
404 KB |
Output is correct |
68 |
Correct |
39 ms |
340 KB |
Output is correct |
69 |
Correct |
180 ms |
352 KB |
Output is correct |
70 |
Correct |
135 ms |
432 KB |
Output is correct |
71 |
Correct |
141 ms |
568 KB |
Output is correct |
72 |
Correct |
144 ms |
608 KB |
Output is correct |
73 |
Correct |
94 ms |
348 KB |
Output is correct |
74 |
Correct |
91 ms |
436 KB |
Output is correct |
75 |
Correct |
97 ms |
340 KB |
Output is correct |
76 |
Correct |
103 ms |
340 KB |
Output is correct |
77 |
Correct |
213 ms |
496 KB |
Output is correct |
78 |
Correct |
179 ms |
512 KB |
Output is correct |
79 |
Correct |
172 ms |
564 KB |
Output is correct |
80 |
Correct |
267 ms |
460 KB |
Output is correct |
81 |
Correct |
120 ms |
548 KB |
Output is correct |
82 |
Correct |
150 ms |
460 KB |
Output is correct |
83 |
Correct |
105 ms |
460 KB |
Output is correct |
84 |
Correct |
97 ms |
544 KB |
Output is correct |
85 |
Correct |
701 ms |
744 KB |
Output is correct |
86 |
Correct |
432 ms |
656 KB |
Output is correct |
87 |
Correct |
451 ms |
776 KB |
Output is correct |
88 |
Correct |
467 ms |
620 KB |
Output is correct |
89 |
Correct |
300 ms |
540 KB |
Output is correct |
90 |
Correct |
296 ms |
512 KB |
Output is correct |
91 |
Correct |
345 ms |
596 KB |
Output is correct |
92 |
Correct |
328 ms |
544 KB |
Output is correct |
93 |
Execution timed out |
3055 ms |
1076 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |