#include <vector>
#include <array>
#include <iostream>
#ifdef DEBUG
#include "debug.hpp"
#endif
using namespace std;
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define traverse(c, it) for(auto it = (c).begin(); it != (c).end(); ++it)
#define rep(i, N) for(int i = 0; i < (N); ++i)
#define rrep(i, N) for(int i = (N) - 1; i >= 0; --i)
#define rep1(i, N) for(int i = 1; i <= (N); ++i)
#define rep2(i, s, e) for(int i = (s); i <= (e); ++i)
#ifdef DEBUG
#define debug(x...) { \
++dbg::depth; \
string dbg_vals = dbg::to_string(x); \
--dbg::depth; \
dbg::fprint(__func__, __LINE__, #x, dbg_vals); \
}
#define light_debug(x) { \
dbg::light = true; \
dbg::dout << __func__ << ":" << __LINE__; \
dbg::dout << " " << #x << " = " << x << endl; \
dbg::light = false; \
}
#else
#define debug(x...) 42
#define light_debug(x) 42
#endif
using ll = long long;
template<typename T>
inline T& ckmin(T& a, T b) { return a = a > b ? b : a; }
template<typename T>
inline T& ckmax(T& a, T b) { return a = a < b ? b : a; }
constexpr int mod{998244353};
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
array<bool, 1 << 18> parity;
rep(i, 1 << 18) parity[i] = __builtin_popcount(i) % 2 == 0;
array<int, 1 << 18> lg;
rep(i, 1 << 18) lg[i] = __lg(i);
int n, m; cin >> n >> m;
vector<vector<bool>> adj(n, vector<bool>(n));
rep(i, m) {
int u, v; cin >> u >> v; --u, --v;
adj[u][v] = true;
}
vector<bool> is_independent(1 << n);
rep(mask, 1 << n) {
is_independent[mask] = true;
rep(i, n) if(mask & (1 << i))
rep(j, n)
if(adj[i][j] && (mask & (1 << j)))
is_independent[mask] = false;
}
vector<vector<int>> single_cost(n, vector<int>(1 << n));
rep(i, n)
rep1(mask, (1 << n) - 1) {
single_cost[i][mask] = single_cost[i][mask - (1 << lg[mask])]
+ adj[lg[mask]][i];
}
vector<long long> dp_s(1 << n), dp_c(1 << n); dp_c[0] = 1;
vector<int> partial_cost(1 << n);
int j, sources;
long long t_s, t_c;
rep1(mask, (1 << n) - 1) {
for(sources = mask & (mask - 1); ; sources = (sources - 1) & mask) {
sources = mask - sources;
j = lg[sources];
partial_cost[sources] =
partial_cost[sources - (1 << j)] + single_cost[j][mask];
if(is_independent[sources]) {
t_s = dp_s[mask ^ sources] +
dp_c[mask ^ sources] * partial_cost[sources] % mod;
dp_s[mask] += parity[sources] ? -t_s : t_s;
t_c = dp_c[mask ^ sources];
dp_c[mask] += parity[sources] ? -t_c : t_c;
}
sources = mask - sources;
if(sources == 0) break;
}
((dp_c[mask] %= mod) += mod) %= mod;
((dp_s[mask] %= mod) += mod) %= mod;
for(sources = mask; sources > 0; sources = (sources - 1) & mask)
partial_cost[sources] = 0;
}
cout << dp_s.back() << '\n';
#ifdef DEBUG
dbg::dout << "\nExecution time: "
<< clock() * 1000 / CLOCKS_PER_SEC
<< "ms" << endl;
#endif
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1484 KB |
Output is correct |
2 |
Correct |
3 ms |
1484 KB |
Output is correct |
3 |
Correct |
3 ms |
1484 KB |
Output is correct |
4 |
Correct |
3 ms |
1484 KB |
Output is correct |
5 |
Correct |
3 ms |
1484 KB |
Output is correct |
6 |
Correct |
4 ms |
1484 KB |
Output is correct |
7 |
Correct |
3 ms |
1484 KB |
Output is correct |
8 |
Correct |
3 ms |
1484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1484 KB |
Output is correct |
2 |
Correct |
3 ms |
1484 KB |
Output is correct |
3 |
Correct |
3 ms |
1484 KB |
Output is correct |
4 |
Correct |
3 ms |
1484 KB |
Output is correct |
5 |
Correct |
3 ms |
1484 KB |
Output is correct |
6 |
Correct |
4 ms |
1484 KB |
Output is correct |
7 |
Correct |
3 ms |
1484 KB |
Output is correct |
8 |
Correct |
3 ms |
1484 KB |
Output is correct |
9 |
Correct |
3 ms |
1484 KB |
Output is correct |
10 |
Correct |
3 ms |
1484 KB |
Output is correct |
11 |
Correct |
4 ms |
1592 KB |
Output is correct |
12 |
Correct |
3 ms |
1484 KB |
Output is correct |
13 |
Correct |
3 ms |
1584 KB |
Output is correct |
14 |
Correct |
3 ms |
1484 KB |
Output is correct |
15 |
Correct |
3 ms |
1484 KB |
Output is correct |
16 |
Correct |
3 ms |
1484 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
3 ms |
1484 KB |
Output is correct |
19 |
Correct |
3 ms |
1484 KB |
Output is correct |
20 |
Correct |
3 ms |
1484 KB |
Output is correct |
21 |
Correct |
3 ms |
1484 KB |
Output is correct |
22 |
Correct |
3 ms |
1484 KB |
Output is correct |
23 |
Correct |
3 ms |
1484 KB |
Output is correct |
24 |
Correct |
3 ms |
1484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1484 KB |
Output is correct |
2 |
Correct |
3 ms |
1484 KB |
Output is correct |
3 |
Correct |
3 ms |
1484 KB |
Output is correct |
4 |
Correct |
3 ms |
1484 KB |
Output is correct |
5 |
Correct |
3 ms |
1484 KB |
Output is correct |
6 |
Correct |
4 ms |
1484 KB |
Output is correct |
7 |
Correct |
3 ms |
1484 KB |
Output is correct |
8 |
Correct |
3 ms |
1484 KB |
Output is correct |
9 |
Correct |
3 ms |
1484 KB |
Output is correct |
10 |
Correct |
3 ms |
1484 KB |
Output is correct |
11 |
Correct |
4 ms |
1592 KB |
Output is correct |
12 |
Correct |
3 ms |
1484 KB |
Output is correct |
13 |
Correct |
3 ms |
1584 KB |
Output is correct |
14 |
Correct |
3 ms |
1484 KB |
Output is correct |
15 |
Correct |
3 ms |
1484 KB |
Output is correct |
16 |
Correct |
3 ms |
1484 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
3 ms |
1484 KB |
Output is correct |
19 |
Correct |
3 ms |
1484 KB |
Output is correct |
20 |
Correct |
3 ms |
1484 KB |
Output is correct |
21 |
Correct |
3 ms |
1484 KB |
Output is correct |
22 |
Correct |
3 ms |
1484 KB |
Output is correct |
23 |
Correct |
3 ms |
1484 KB |
Output is correct |
24 |
Correct |
3 ms |
1484 KB |
Output is correct |
25 |
Correct |
3 ms |
1484 KB |
Output is correct |
26 |
Correct |
3 ms |
1484 KB |
Output is correct |
27 |
Correct |
3 ms |
1484 KB |
Output is correct |
28 |
Correct |
3 ms |
1484 KB |
Output is correct |
29 |
Correct |
3 ms |
1484 KB |
Output is correct |
30 |
Correct |
3 ms |
1484 KB |
Output is correct |
31 |
Correct |
3 ms |
1484 KB |
Output is correct |
32 |
Correct |
3 ms |
1484 KB |
Output is correct |
33 |
Correct |
4 ms |
1484 KB |
Output is correct |
34 |
Correct |
3 ms |
1484 KB |
Output is correct |
35 |
Correct |
3 ms |
1484 KB |
Output is correct |
36 |
Correct |
3 ms |
1484 KB |
Output is correct |
37 |
Correct |
3 ms |
1484 KB |
Output is correct |
38 |
Correct |
3 ms |
1484 KB |
Output is correct |
39 |
Correct |
3 ms |
1612 KB |
Output is correct |
40 |
Correct |
3 ms |
1612 KB |
Output is correct |
41 |
Correct |
3 ms |
1612 KB |
Output is correct |
42 |
Correct |
3 ms |
1612 KB |
Output is correct |
43 |
Correct |
3 ms |
1612 KB |
Output is correct |
44 |
Correct |
3 ms |
1612 KB |
Output is correct |
45 |
Correct |
3 ms |
1612 KB |
Output is correct |
46 |
Correct |
3 ms |
1612 KB |
Output is correct |
47 |
Correct |
4 ms |
1612 KB |
Output is correct |
48 |
Correct |
4 ms |
1612 KB |
Output is correct |
49 |
Correct |
3 ms |
1612 KB |
Output is correct |
50 |
Correct |
3 ms |
1612 KB |
Output is correct |
51 |
Correct |
3 ms |
1484 KB |
Output is correct |
52 |
Correct |
4 ms |
1612 KB |
Output is correct |
53 |
Correct |
4 ms |
1612 KB |
Output is correct |
54 |
Correct |
4 ms |
1612 KB |
Output is correct |
55 |
Correct |
3 ms |
1612 KB |
Output is correct |
56 |
Correct |
4 ms |
1612 KB |
Output is correct |
57 |
Correct |
3 ms |
1612 KB |
Output is correct |
58 |
Correct |
3 ms |
1612 KB |
Output is correct |
59 |
Correct |
3 ms |
1612 KB |
Output is correct |
60 |
Correct |
4 ms |
1612 KB |
Output is correct |
61 |
Correct |
3 ms |
1612 KB |
Output is correct |
62 |
Correct |
4 ms |
1612 KB |
Output is correct |
63 |
Correct |
3 ms |
1612 KB |
Output is correct |
64 |
Correct |
3 ms |
1612 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1484 KB |
Output is correct |
2 |
Correct |
3 ms |
1484 KB |
Output is correct |
3 |
Correct |
3 ms |
1484 KB |
Output is correct |
4 |
Correct |
3 ms |
1484 KB |
Output is correct |
5 |
Correct |
3 ms |
1484 KB |
Output is correct |
6 |
Correct |
4 ms |
1484 KB |
Output is correct |
7 |
Correct |
3 ms |
1484 KB |
Output is correct |
8 |
Correct |
3 ms |
1484 KB |
Output is correct |
9 |
Correct |
3 ms |
1484 KB |
Output is correct |
10 |
Correct |
3 ms |
1484 KB |
Output is correct |
11 |
Correct |
4 ms |
1592 KB |
Output is correct |
12 |
Correct |
3 ms |
1484 KB |
Output is correct |
13 |
Correct |
3 ms |
1584 KB |
Output is correct |
14 |
Correct |
3 ms |
1484 KB |
Output is correct |
15 |
Correct |
3 ms |
1484 KB |
Output is correct |
16 |
Correct |
3 ms |
1484 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
3 ms |
1484 KB |
Output is correct |
19 |
Correct |
3 ms |
1484 KB |
Output is correct |
20 |
Correct |
3 ms |
1484 KB |
Output is correct |
21 |
Correct |
3 ms |
1484 KB |
Output is correct |
22 |
Correct |
3 ms |
1484 KB |
Output is correct |
23 |
Correct |
3 ms |
1484 KB |
Output is correct |
24 |
Correct |
3 ms |
1484 KB |
Output is correct |
25 |
Correct |
3 ms |
1484 KB |
Output is correct |
26 |
Correct |
3 ms |
1484 KB |
Output is correct |
27 |
Correct |
3 ms |
1484 KB |
Output is correct |
28 |
Correct |
3 ms |
1484 KB |
Output is correct |
29 |
Correct |
3 ms |
1484 KB |
Output is correct |
30 |
Correct |
3 ms |
1484 KB |
Output is correct |
31 |
Correct |
3 ms |
1484 KB |
Output is correct |
32 |
Correct |
3 ms |
1484 KB |
Output is correct |
33 |
Correct |
4 ms |
1484 KB |
Output is correct |
34 |
Correct |
3 ms |
1484 KB |
Output is correct |
35 |
Correct |
3 ms |
1484 KB |
Output is correct |
36 |
Correct |
3 ms |
1484 KB |
Output is correct |
37 |
Correct |
3 ms |
1484 KB |
Output is correct |
38 |
Correct |
3 ms |
1484 KB |
Output is correct |
39 |
Correct |
3 ms |
1612 KB |
Output is correct |
40 |
Correct |
3 ms |
1612 KB |
Output is correct |
41 |
Correct |
3 ms |
1612 KB |
Output is correct |
42 |
Correct |
3 ms |
1612 KB |
Output is correct |
43 |
Correct |
3 ms |
1612 KB |
Output is correct |
44 |
Correct |
3 ms |
1612 KB |
Output is correct |
45 |
Correct |
3 ms |
1612 KB |
Output is correct |
46 |
Correct |
3 ms |
1612 KB |
Output is correct |
47 |
Correct |
4 ms |
1612 KB |
Output is correct |
48 |
Correct |
4 ms |
1612 KB |
Output is correct |
49 |
Correct |
3 ms |
1612 KB |
Output is correct |
50 |
Correct |
3 ms |
1612 KB |
Output is correct |
51 |
Correct |
3 ms |
1484 KB |
Output is correct |
52 |
Correct |
4 ms |
1612 KB |
Output is correct |
53 |
Correct |
4 ms |
1612 KB |
Output is correct |
54 |
Correct |
4 ms |
1612 KB |
Output is correct |
55 |
Correct |
3 ms |
1612 KB |
Output is correct |
56 |
Correct |
4 ms |
1612 KB |
Output is correct |
57 |
Correct |
3 ms |
1612 KB |
Output is correct |
58 |
Correct |
3 ms |
1612 KB |
Output is correct |
59 |
Correct |
3 ms |
1612 KB |
Output is correct |
60 |
Correct |
4 ms |
1612 KB |
Output is correct |
61 |
Correct |
3 ms |
1612 KB |
Output is correct |
62 |
Correct |
4 ms |
1612 KB |
Output is correct |
63 |
Correct |
3 ms |
1612 KB |
Output is correct |
64 |
Correct |
3 ms |
1612 KB |
Output is correct |
65 |
Correct |
39 ms |
2764 KB |
Output is correct |
66 |
Correct |
37 ms |
2764 KB |
Output is correct |
67 |
Correct |
35 ms |
2744 KB |
Output is correct |
68 |
Correct |
34 ms |
2812 KB |
Output is correct |
69 |
Correct |
47 ms |
2764 KB |
Output is correct |
70 |
Correct |
42 ms |
2744 KB |
Output is correct |
71 |
Correct |
41 ms |
2812 KB |
Output is correct |
72 |
Correct |
42 ms |
2764 KB |
Output is correct |
73 |
Correct |
39 ms |
2764 KB |
Output is correct |
74 |
Correct |
41 ms |
2816 KB |
Output is correct |
75 |
Correct |
38 ms |
2764 KB |
Output is correct |
76 |
Correct |
38 ms |
2808 KB |
Output is correct |
77 |
Correct |
99 ms |
4228 KB |
Output is correct |
78 |
Correct |
95 ms |
4220 KB |
Output is correct |
79 |
Correct |
113 ms |
4168 KB |
Output is correct |
80 |
Correct |
111 ms |
4212 KB |
Output is correct |
81 |
Correct |
91 ms |
4168 KB |
Output is correct |
82 |
Correct |
93 ms |
4220 KB |
Output is correct |
83 |
Correct |
95 ms |
4168 KB |
Output is correct |
84 |
Correct |
100 ms |
4216 KB |
Output is correct |
85 |
Correct |
138 ms |
4148 KB |
Output is correct |
86 |
Correct |
119 ms |
4212 KB |
Output is correct |
87 |
Correct |
115 ms |
4168 KB |
Output is correct |
88 |
Correct |
117 ms |
4168 KB |
Output is correct |
89 |
Correct |
108 ms |
4220 KB |
Output is correct |
90 |
Correct |
107 ms |
4216 KB |
Output is correct |
91 |
Correct |
108 ms |
4332 KB |
Output is correct |
92 |
Correct |
107 ms |
4168 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1484 KB |
Output is correct |
2 |
Correct |
3 ms |
1484 KB |
Output is correct |
3 |
Correct |
3 ms |
1484 KB |
Output is correct |
4 |
Correct |
3 ms |
1484 KB |
Output is correct |
5 |
Correct |
3 ms |
1484 KB |
Output is correct |
6 |
Correct |
4 ms |
1484 KB |
Output is correct |
7 |
Correct |
3 ms |
1484 KB |
Output is correct |
8 |
Correct |
3 ms |
1484 KB |
Output is correct |
9 |
Correct |
3 ms |
1484 KB |
Output is correct |
10 |
Correct |
3 ms |
1484 KB |
Output is correct |
11 |
Correct |
4 ms |
1592 KB |
Output is correct |
12 |
Correct |
3 ms |
1484 KB |
Output is correct |
13 |
Correct |
3 ms |
1584 KB |
Output is correct |
14 |
Correct |
3 ms |
1484 KB |
Output is correct |
15 |
Correct |
3 ms |
1484 KB |
Output is correct |
16 |
Correct |
3 ms |
1484 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
3 ms |
1484 KB |
Output is correct |
19 |
Correct |
3 ms |
1484 KB |
Output is correct |
20 |
Correct |
3 ms |
1484 KB |
Output is correct |
21 |
Correct |
3 ms |
1484 KB |
Output is correct |
22 |
Correct |
3 ms |
1484 KB |
Output is correct |
23 |
Correct |
3 ms |
1484 KB |
Output is correct |
24 |
Correct |
3 ms |
1484 KB |
Output is correct |
25 |
Correct |
3 ms |
1484 KB |
Output is correct |
26 |
Correct |
3 ms |
1484 KB |
Output is correct |
27 |
Correct |
3 ms |
1484 KB |
Output is correct |
28 |
Correct |
3 ms |
1484 KB |
Output is correct |
29 |
Correct |
3 ms |
1484 KB |
Output is correct |
30 |
Correct |
3 ms |
1484 KB |
Output is correct |
31 |
Correct |
3 ms |
1484 KB |
Output is correct |
32 |
Correct |
3 ms |
1484 KB |
Output is correct |
33 |
Correct |
4 ms |
1484 KB |
Output is correct |
34 |
Correct |
3 ms |
1484 KB |
Output is correct |
35 |
Correct |
3 ms |
1484 KB |
Output is correct |
36 |
Correct |
3 ms |
1484 KB |
Output is correct |
37 |
Correct |
3 ms |
1484 KB |
Output is correct |
38 |
Correct |
3 ms |
1484 KB |
Output is correct |
39 |
Correct |
3 ms |
1612 KB |
Output is correct |
40 |
Correct |
3 ms |
1612 KB |
Output is correct |
41 |
Correct |
3 ms |
1612 KB |
Output is correct |
42 |
Correct |
3 ms |
1612 KB |
Output is correct |
43 |
Correct |
3 ms |
1612 KB |
Output is correct |
44 |
Correct |
3 ms |
1612 KB |
Output is correct |
45 |
Correct |
3 ms |
1612 KB |
Output is correct |
46 |
Correct |
3 ms |
1612 KB |
Output is correct |
47 |
Correct |
4 ms |
1612 KB |
Output is correct |
48 |
Correct |
4 ms |
1612 KB |
Output is correct |
49 |
Correct |
3 ms |
1612 KB |
Output is correct |
50 |
Correct |
3 ms |
1612 KB |
Output is correct |
51 |
Correct |
3 ms |
1484 KB |
Output is correct |
52 |
Correct |
4 ms |
1612 KB |
Output is correct |
53 |
Correct |
4 ms |
1612 KB |
Output is correct |
54 |
Correct |
4 ms |
1612 KB |
Output is correct |
55 |
Correct |
3 ms |
1612 KB |
Output is correct |
56 |
Correct |
4 ms |
1612 KB |
Output is correct |
57 |
Correct |
3 ms |
1612 KB |
Output is correct |
58 |
Correct |
3 ms |
1612 KB |
Output is correct |
59 |
Correct |
3 ms |
1612 KB |
Output is correct |
60 |
Correct |
4 ms |
1612 KB |
Output is correct |
61 |
Correct |
3 ms |
1612 KB |
Output is correct |
62 |
Correct |
4 ms |
1612 KB |
Output is correct |
63 |
Correct |
3 ms |
1612 KB |
Output is correct |
64 |
Correct |
3 ms |
1612 KB |
Output is correct |
65 |
Correct |
39 ms |
2764 KB |
Output is correct |
66 |
Correct |
37 ms |
2764 KB |
Output is correct |
67 |
Correct |
35 ms |
2744 KB |
Output is correct |
68 |
Correct |
34 ms |
2812 KB |
Output is correct |
69 |
Correct |
47 ms |
2764 KB |
Output is correct |
70 |
Correct |
42 ms |
2744 KB |
Output is correct |
71 |
Correct |
41 ms |
2812 KB |
Output is correct |
72 |
Correct |
42 ms |
2764 KB |
Output is correct |
73 |
Correct |
39 ms |
2764 KB |
Output is correct |
74 |
Correct |
41 ms |
2816 KB |
Output is correct |
75 |
Correct |
38 ms |
2764 KB |
Output is correct |
76 |
Correct |
38 ms |
2808 KB |
Output is correct |
77 |
Correct |
99 ms |
4228 KB |
Output is correct |
78 |
Correct |
95 ms |
4220 KB |
Output is correct |
79 |
Correct |
113 ms |
4168 KB |
Output is correct |
80 |
Correct |
111 ms |
4212 KB |
Output is correct |
81 |
Correct |
91 ms |
4168 KB |
Output is correct |
82 |
Correct |
93 ms |
4220 KB |
Output is correct |
83 |
Correct |
95 ms |
4168 KB |
Output is correct |
84 |
Correct |
100 ms |
4216 KB |
Output is correct |
85 |
Correct |
138 ms |
4148 KB |
Output is correct |
86 |
Correct |
119 ms |
4212 KB |
Output is correct |
87 |
Correct |
115 ms |
4168 KB |
Output is correct |
88 |
Correct |
117 ms |
4168 KB |
Output is correct |
89 |
Correct |
108 ms |
4220 KB |
Output is correct |
90 |
Correct |
107 ms |
4216 KB |
Output is correct |
91 |
Correct |
108 ms |
4332 KB |
Output is correct |
92 |
Correct |
107 ms |
4168 KB |
Output is correct |
93 |
Execution timed out |
3055 ms |
25296 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |