#include<bits/stdc++.h>
#define ff first
#define ss second
#define all(x) x.begin(), x.end()
using namespace std;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
template<typename T>
using matrix = vector<vector<T>>;
const ll MOD = 998244353;
int main(){
cin.tie(0)->sync_with_stdio(0);
int n, m;
cin >> n >> m;
vector<int> adj(n);
for(int i = 0; i < m; i++){
int a, b;
cin >> a >> b;
a--, b--;
adj[a]+=1<<b;
}
vector<ll> incomp(1<<n);
for(int i = 0; i < (1<<n); i++){
int ok = 0;
for(int j = 0; j < n; j++){
if((1<<j)&i){
ok|=adj[j];
}
}
incomp[i] = !bool(ok&i);
// cerr << bitset<4>(ok) << ' ' << bitset<4>(i) << "->" << incomp[i] << '\n';
}
vector<ll> sum(1<<n), dp(1<<n);
dp[0] = 1;
array<ll,2> parity = {MOD-1,1};
vector<int> cur;
auto calc =[&](int i, int taken, int cursum, int sub, int mask, auto calc){
if(i == cur.size()){
if(!taken)
return;
const int comp = mask^sub;
dp[mask]+=parity[taken&1]*dp[comp];
sum[mask]+=parity[taken&1]*(cursum*dp[comp]%MOD+sum[comp]);
dp[mask]%=MOD;
sum[mask]%=MOD;
// cerr << i << ' ' << taken << ' ' << cursum << ' ' << bitset<4>(sub) << ' ' << bitset<4>(mask) << '\n';
// cerr << "=> " << parity[taken&1]*dp[comp] << ' ' << parity[taken&1]*(cursum*dp[comp]%MOD+sum[comp]) << '\n';
return;
}
const int id = cur[i];
if(incomp[sub|(1<<id)]){
calc(i+1,taken+1,cursum+__builtin_popcount(adj[id]&mask),sub|(1<<id),mask,calc);
}
calc(i+1,taken,cursum,sub,mask,calc);
};
for(int mask = 1; mask < (1<<n); mask++){
cur.clear();
for(int j = 0 ; j < n; j++){
if(mask&(1<<j))
cur.push_back(j);
}
calc(0,0,0,0,mask,calc);
// cerr << "dp[" << bitset<4>(mask) << "] = " << dp[mask] << '\n';
// cerr << "sum[" << bitset<4>(mask) << "] = " << sum[mask] << '\n';
}
cout << sum[(1<<n)-1] << '\n';
}
Compilation message
amusementpark.cpp: In instantiation of 'main()::<lambda(int, int, int, int, int, auto:23)> [with auto:23 = main()::<lambda(int, int, int, int, int, auto:23)>]':
amusementpark.cpp:76:31: required from here
amusementpark.cpp:51:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
51 | if(i == cur.size()){
| ~~^~~~~~~~~~~~~
# |
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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 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 |
324 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
316 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
316 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 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 |
324 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
316 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
316 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
324 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
316 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 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 |
324 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
324 KB |
Output is correct |
51 |
Correct |
1 ms |
212 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 |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
316 KB |
Output is correct |
57 |
Correct |
1 ms |
344 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 |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
1 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 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 |
324 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
316 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
316 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
324 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
316 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 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 |
324 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
324 KB |
Output is correct |
51 |
Correct |
1 ms |
212 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 |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
316 KB |
Output is correct |
57 |
Correct |
1 ms |
344 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 |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
13 ms |
724 KB |
Output is correct |
66 |
Correct |
11 ms |
596 KB |
Output is correct |
67 |
Correct |
9 ms |
700 KB |
Output is correct |
68 |
Correct |
8 ms |
724 KB |
Output is correct |
69 |
Correct |
52 ms |
724 KB |
Output is correct |
70 |
Correct |
31 ms |
708 KB |
Output is correct |
71 |
Correct |
33 ms |
724 KB |
Output is correct |
72 |
Correct |
34 ms |
724 KB |
Output is correct |
73 |
Correct |
23 ms |
724 KB |
Output is correct |
74 |
Correct |
23 ms |
596 KB |
Output is correct |
75 |
Correct |
24 ms |
596 KB |
Output is correct |
76 |
Correct |
25 ms |
724 KB |
Output is correct |
77 |
Correct |
41 ms |
1096 KB |
Output is correct |
78 |
Correct |
33 ms |
1108 KB |
Output is correct |
79 |
Correct |
28 ms |
1108 KB |
Output is correct |
80 |
Correct |
24 ms |
980 KB |
Output is correct |
81 |
Correct |
21 ms |
1088 KB |
Output is correct |
82 |
Correct |
19 ms |
1108 KB |
Output is correct |
83 |
Correct |
18 ms |
1112 KB |
Output is correct |
84 |
Correct |
16 ms |
1108 KB |
Output is correct |
85 |
Correct |
141 ms |
1108 KB |
Output is correct |
86 |
Correct |
96 ms |
980 KB |
Output is correct |
87 |
Correct |
97 ms |
980 KB |
Output is correct |
88 |
Correct |
103 ms |
1084 KB |
Output is correct |
89 |
Correct |
70 ms |
1096 KB |
Output is correct |
90 |
Correct |
72 ms |
1108 KB |
Output is correct |
91 |
Correct |
70 ms |
1088 KB |
Output is correct |
92 |
Correct |
71 ms |
1108 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 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 |
324 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
316 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
316 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
324 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
316 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 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 |
324 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
324 KB |
Output is correct |
51 |
Correct |
1 ms |
212 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 |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
316 KB |
Output is correct |
57 |
Correct |
1 ms |
344 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 |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
13 ms |
724 KB |
Output is correct |
66 |
Correct |
11 ms |
596 KB |
Output is correct |
67 |
Correct |
9 ms |
700 KB |
Output is correct |
68 |
Correct |
8 ms |
724 KB |
Output is correct |
69 |
Correct |
52 ms |
724 KB |
Output is correct |
70 |
Correct |
31 ms |
708 KB |
Output is correct |
71 |
Correct |
33 ms |
724 KB |
Output is correct |
72 |
Correct |
34 ms |
724 KB |
Output is correct |
73 |
Correct |
23 ms |
724 KB |
Output is correct |
74 |
Correct |
23 ms |
596 KB |
Output is correct |
75 |
Correct |
24 ms |
596 KB |
Output is correct |
76 |
Correct |
25 ms |
724 KB |
Output is correct |
77 |
Correct |
41 ms |
1096 KB |
Output is correct |
78 |
Correct |
33 ms |
1108 KB |
Output is correct |
79 |
Correct |
28 ms |
1108 KB |
Output is correct |
80 |
Correct |
24 ms |
980 KB |
Output is correct |
81 |
Correct |
21 ms |
1088 KB |
Output is correct |
82 |
Correct |
19 ms |
1108 KB |
Output is correct |
83 |
Correct |
18 ms |
1112 KB |
Output is correct |
84 |
Correct |
16 ms |
1108 KB |
Output is correct |
85 |
Correct |
141 ms |
1108 KB |
Output is correct |
86 |
Correct |
96 ms |
980 KB |
Output is correct |
87 |
Correct |
97 ms |
980 KB |
Output is correct |
88 |
Correct |
103 ms |
1084 KB |
Output is correct |
89 |
Correct |
70 ms |
1096 KB |
Output is correct |
90 |
Correct |
72 ms |
1108 KB |
Output is correct |
91 |
Correct |
70 ms |
1088 KB |
Output is correct |
92 |
Correct |
71 ms |
1108 KB |
Output is correct |
93 |
Execution timed out |
3069 ms |
6484 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |