#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int N = 18;
const int mod = 998244353;
bool isindep[1<<N];
ll dp[1<<N];
int popcnt[1<<N];
int undirected_edge[N];
int main(){
int n,m,a,b;
cin >> n >> m;
for(int i = 1; i <= m; i++){
cin >> a >> b;
a--;b--;
undirected_edge[a] ^= (1<<b);
undirected_edge[b] ^= (1<<a);
}
for(int i = 0; i < (1<<n); i++){
int edges = 0;
for(int j = 0; j < n; j++){
if(i&(1<<j)){
popcnt[i]++;
edges |= undirected_edge[j];
}
}
if((edges&i) == 0) isindep[i] = true;
}
dp[0] = 1;
for(int i = 1; i < (1<<n); i++){
for(int j = i; j > 0; j = (j-1)&i){
if(isindep[j]){
if(popcnt[j]&1) dp[i] += dp[i^j];
else dp[i] -= dp[i^j];
}
}
dp[i]%=mod;
}
ll ans = dp[(1<<n)-1];
if(ans&1) ans += mod;
ans >>= 1;
ans *= m; ans %= mod;
cout << ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
340 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 |
308 KB |
Output is correct |
15 |
Correct |
0 ms |
312 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 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 |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
312 KB |
Output is correct |
24 |
Correct |
1 ms |
312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
340 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 |
308 KB |
Output is correct |
15 |
Correct |
0 ms |
312 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 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 |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
312 KB |
Output is correct |
24 |
Correct |
1 ms |
312 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
304 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 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 |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 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 |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
316 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
308 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
324 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 |
312 KB |
Output is correct |
50 |
Correct |
1 ms |
308 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
308 KB |
Output is correct |
55 |
Correct |
1 ms |
312 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 |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
340 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 |
308 KB |
Output is correct |
15 |
Correct |
0 ms |
312 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 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 |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
312 KB |
Output is correct |
24 |
Correct |
1 ms |
312 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
304 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 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 |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 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 |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
316 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
308 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
324 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 |
312 KB |
Output is correct |
50 |
Correct |
1 ms |
308 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
308 KB |
Output is correct |
55 |
Correct |
1 ms |
312 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 |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
8 ms |
524 KB |
Output is correct |
66 |
Correct |
9 ms |
468 KB |
Output is correct |
67 |
Correct |
8 ms |
524 KB |
Output is correct |
68 |
Correct |
8 ms |
468 KB |
Output is correct |
69 |
Correct |
14 ms |
444 KB |
Output is correct |
70 |
Correct |
13 ms |
436 KB |
Output is correct |
71 |
Correct |
9 ms |
456 KB |
Output is correct |
72 |
Correct |
7 ms |
440 KB |
Output is correct |
73 |
Correct |
9 ms |
468 KB |
Output is correct |
74 |
Correct |
8 ms |
436 KB |
Output is correct |
75 |
Correct |
8 ms |
468 KB |
Output is correct |
76 |
Correct |
7 ms |
468 KB |
Output is correct |
77 |
Correct |
27 ms |
716 KB |
Output is correct |
78 |
Correct |
25 ms |
652 KB |
Output is correct |
79 |
Correct |
25 ms |
668 KB |
Output is correct |
80 |
Correct |
22 ms |
680 KB |
Output is correct |
81 |
Correct |
24 ms |
688 KB |
Output is correct |
82 |
Correct |
19 ms |
692 KB |
Output is correct |
83 |
Correct |
18 ms |
680 KB |
Output is correct |
84 |
Correct |
16 ms |
692 KB |
Output is correct |
85 |
Correct |
32 ms |
672 KB |
Output is correct |
86 |
Correct |
29 ms |
724 KB |
Output is correct |
87 |
Correct |
25 ms |
724 KB |
Output is correct |
88 |
Correct |
18 ms |
692 KB |
Output is correct |
89 |
Correct |
25 ms |
696 KB |
Output is correct |
90 |
Correct |
25 ms |
652 KB |
Output is correct |
91 |
Correct |
26 ms |
640 KB |
Output is correct |
92 |
Correct |
19 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
340 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 |
308 KB |
Output is correct |
15 |
Correct |
0 ms |
312 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 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 |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
312 KB |
Output is correct |
24 |
Correct |
1 ms |
312 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
304 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 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 |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 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 |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
316 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
308 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
324 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 |
312 KB |
Output is correct |
50 |
Correct |
1 ms |
308 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
308 KB |
Output is correct |
55 |
Correct |
1 ms |
312 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 |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
8 ms |
524 KB |
Output is correct |
66 |
Correct |
9 ms |
468 KB |
Output is correct |
67 |
Correct |
8 ms |
524 KB |
Output is correct |
68 |
Correct |
8 ms |
468 KB |
Output is correct |
69 |
Correct |
14 ms |
444 KB |
Output is correct |
70 |
Correct |
13 ms |
436 KB |
Output is correct |
71 |
Correct |
9 ms |
456 KB |
Output is correct |
72 |
Correct |
7 ms |
440 KB |
Output is correct |
73 |
Correct |
9 ms |
468 KB |
Output is correct |
74 |
Correct |
8 ms |
436 KB |
Output is correct |
75 |
Correct |
8 ms |
468 KB |
Output is correct |
76 |
Correct |
7 ms |
468 KB |
Output is correct |
77 |
Correct |
27 ms |
716 KB |
Output is correct |
78 |
Correct |
25 ms |
652 KB |
Output is correct |
79 |
Correct |
25 ms |
668 KB |
Output is correct |
80 |
Correct |
22 ms |
680 KB |
Output is correct |
81 |
Correct |
24 ms |
688 KB |
Output is correct |
82 |
Correct |
19 ms |
692 KB |
Output is correct |
83 |
Correct |
18 ms |
680 KB |
Output is correct |
84 |
Correct |
16 ms |
692 KB |
Output is correct |
85 |
Correct |
32 ms |
672 KB |
Output is correct |
86 |
Correct |
29 ms |
724 KB |
Output is correct |
87 |
Correct |
25 ms |
724 KB |
Output is correct |
88 |
Correct |
18 ms |
692 KB |
Output is correct |
89 |
Correct |
25 ms |
696 KB |
Output is correct |
90 |
Correct |
25 ms |
652 KB |
Output is correct |
91 |
Correct |
26 ms |
640 KB |
Output is correct |
92 |
Correct |
19 ms |
724 KB |
Output is correct |
93 |
Correct |
799 ms |
3696 KB |
Output is correct |
94 |
Correct |
768 ms |
3600 KB |
Output is correct |
95 |
Correct |
749 ms |
3528 KB |
Output is correct |
96 |
Correct |
659 ms |
3568 KB |
Output is correct |
97 |
Correct |
581 ms |
3780 KB |
Output is correct |
98 |
Correct |
681 ms |
3596 KB |
Output is correct |
99 |
Correct |
81 ms |
1044 KB |
Output is correct |
100 |
Correct |
69 ms |
1088 KB |
Output is correct |
101 |
Correct |
66 ms |
1072 KB |
Output is correct |
102 |
Correct |
59 ms |
1104 KB |
Output is correct |
103 |
Correct |
287 ms |
1956 KB |
Output is correct |
104 |
Correct |
200 ms |
1936 KB |
Output is correct |
105 |
Correct |
205 ms |
1936 KB |
Output is correct |
106 |
Correct |
215 ms |
1908 KB |
Output is correct |
107 |
Correct |
664 ms |
3580 KB |
Output is correct |
108 |
Correct |
569 ms |
3560 KB |
Output is correct |
109 |
Correct |
538 ms |
3496 KB |
Output is correct |
110 |
Incorrect |
480 ms |
3360 KB |
Output isn't correct |
111 |
Halted |
0 ms |
0 KB |
- |