#include<bits/stdc++.h>
using namespace std;
const int N = 18;
bool canb[1<<N];
int dp[1<<N];
vector<int> gr[N];
const int MOD =998244353;
void add(int &x, long long y){
y%=MOD;
x+=y;
if(x >= MOD)
x-=MOD;
if(x < 0)
x+=MOD;
}
int main()
{
//freopen(".in","r",stdin);
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
int n, m;
cin>>n>>m;
for(int i = 1; i <= m; i++){
int x, y;
cin>>x>>y;
x--;
y--;
gr[x].push_back(y);
gr[y].push_back(x);
}
canb[0] = true;
for(int mask = 0; mask < (1<<n); mask++){
if(canb[mask] == false)
continue;
for(int i = 0; i < n; i++){
bool ok = true;
if((mask & (1<<i)) == 0){
for(auto x:gr[i]){
if(mask & (1<<x)){
ok = false;
break;
}
}
canb[mask ^(1<<i)] = ok;
}
}
}
dp[0] = 1;
for(int mask = 0; mask < (1<<n); mask ++){
for(int layer = mask; layer > 0; layer = (layer - 1) & mask){
if(canb[layer]){
if(__builtin_popcount(layer)%2 == 1)
add(dp[mask], dp[mask ^ layer]);
else
add(dp[mask], -dp[mask ^ layer]);
}
}
}
cout<<(1LL * dp[(1<<n) - 1] * m / 2) % MOD;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
224 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
224 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
320 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
320 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
216 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
224 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
320 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
320 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
216 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
1 ms |
204 KB |
Output is correct |
65 |
Correct |
12 ms |
332 KB |
Output is correct |
66 |
Correct |
11 ms |
332 KB |
Output is correct |
67 |
Correct |
11 ms |
328 KB |
Output is correct |
68 |
Correct |
11 ms |
396 KB |
Output is correct |
69 |
Correct |
35 ms |
384 KB |
Output is correct |
70 |
Correct |
20 ms |
332 KB |
Output is correct |
71 |
Correct |
19 ms |
332 KB |
Output is correct |
72 |
Correct |
19 ms |
372 KB |
Output is correct |
73 |
Correct |
16 ms |
408 KB |
Output is correct |
74 |
Correct |
15 ms |
408 KB |
Output is correct |
75 |
Correct |
20 ms |
372 KB |
Output is correct |
76 |
Correct |
14 ms |
396 KB |
Output is correct |
77 |
Correct |
40 ms |
400 KB |
Output is correct |
78 |
Correct |
34 ms |
456 KB |
Output is correct |
79 |
Correct |
33 ms |
416 KB |
Output is correct |
80 |
Incorrect |
32 ms |
448 KB |
Output isn't correct |
81 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
224 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
320 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
320 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
216 KB |
Output is correct |
49 |
Correct |
1 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
1 ms |
332 KB |
Output is correct |
64 |
Correct |
1 ms |
204 KB |
Output is correct |
65 |
Correct |
12 ms |
332 KB |
Output is correct |
66 |
Correct |
11 ms |
332 KB |
Output is correct |
67 |
Correct |
11 ms |
328 KB |
Output is correct |
68 |
Correct |
11 ms |
396 KB |
Output is correct |
69 |
Correct |
35 ms |
384 KB |
Output is correct |
70 |
Correct |
20 ms |
332 KB |
Output is correct |
71 |
Correct |
19 ms |
332 KB |
Output is correct |
72 |
Correct |
19 ms |
372 KB |
Output is correct |
73 |
Correct |
16 ms |
408 KB |
Output is correct |
74 |
Correct |
15 ms |
408 KB |
Output is correct |
75 |
Correct |
20 ms |
372 KB |
Output is correct |
76 |
Correct |
14 ms |
396 KB |
Output is correct |
77 |
Correct |
40 ms |
400 KB |
Output is correct |
78 |
Correct |
34 ms |
456 KB |
Output is correct |
79 |
Correct |
33 ms |
416 KB |
Output is correct |
80 |
Incorrect |
32 ms |
448 KB |
Output isn't correct |
81 |
Halted |
0 ms |
0 KB |
- |