Submission #548227

# Submission time Handle Problem Language Result Execution time Memory
548227 2022-04-12T18:18:51 Z Olympia Amusement Park (CEOI19_amusementpark) C++17
100 / 100
2738 ms 2640 KB
#include <cmath>
#include <iostream>
#include <set>
#include <climits>
#include <algorithm>
#include <cassert>
#include <vector>
#include <iomanip>
#include <type_traits>
#include <string>
#include <queue>
#include <map>

using namespace std;

const int MOD = 998244353;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int N, M;
    cin >> N >> M;
    bool f[(1 << N)]; for (int i = 0; i < (1 << N); i++) f[i] = true;
    for (int i = 0; i < M; i++) {
        int u, v;
        cin >> u >> v;
        u--, v--;
        f[(1 << u) + (1 << v)] = false;
    }
    for (int i = 1; i < (1 << N); i++) {
        for (int j = 0; j < N; j++) {
            if ((i & (1 << j)) && !f[i ^ (1 << j)]) {
                f[i] = false;
            }
        }
    }
    int64_t dp[(1 << N)];
    dp[0] = 1;
    for (int i = 1; i < (1 << N); i++) {
        dp[i] = 0;
        for (int j = i; j; j = (j - 1) & i) {
            if (!f[j]) continue;
            if (__builtin_popcount(j) % 2) {
                dp[i] += dp[i ^ j];
            } else {
                dp[i] += MOD - dp[i ^ j];
            }
            dp[i] %= MOD;
        }
    }
    cout << (((dp[(1 << N) - 1] * M) % MOD) * (MOD + 1)/2) % MOD;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 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 1 ms 328 KB Output is correct
7 Correct 0 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 0 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 1 ms 328 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 324 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 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 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 324 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 0 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 1 ms 328 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 324 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 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 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 324 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 328 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 324 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 324 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 320 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 328 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 212 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 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 328 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 324 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 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 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 1 ms 328 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 324 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 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 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 324 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 328 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 324 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 324 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 320 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 328 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 212 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 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 328 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 324 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 212 KB Output is correct
65 Correct 13 ms 468 KB Output is correct
66 Correct 11 ms 340 KB Output is correct
67 Correct 10 ms 468 KB Output is correct
68 Correct 10 ms 340 KB Output is correct
69 Correct 24 ms 340 KB Output is correct
70 Correct 19 ms 460 KB Output is correct
71 Correct 19 ms 576 KB Output is correct
72 Correct 19 ms 456 KB Output is correct
73 Correct 15 ms 460 KB Output is correct
74 Correct 14 ms 468 KB Output is correct
75 Correct 15 ms 340 KB Output is correct
76 Correct 17 ms 340 KB Output is correct
77 Correct 33 ms 596 KB Output is correct
78 Correct 30 ms 596 KB Output is correct
79 Correct 28 ms 588 KB Output is correct
80 Correct 26 ms 612 KB Output is correct
81 Correct 25 ms 596 KB Output is correct
82 Correct 22 ms 608 KB Output is correct
83 Correct 22 ms 596 KB Output is correct
84 Correct 21 ms 600 KB Output is correct
85 Correct 76 ms 596 KB Output is correct
86 Correct 50 ms 724 KB Output is correct
87 Correct 52 ms 596 KB Output is correct
88 Correct 57 ms 584 KB Output is correct
89 Correct 41 ms 716 KB Output is correct
90 Correct 41 ms 596 KB Output is correct
91 Correct 44 ms 588 KB Output is correct
92 Correct 42 ms 596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 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 1 ms 328 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 324 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 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 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 324 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 328 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 324 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 324 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 320 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 328 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 212 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 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 328 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 324 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 212 KB Output is correct
65 Correct 13 ms 468 KB Output is correct
66 Correct 11 ms 340 KB Output is correct
67 Correct 10 ms 468 KB Output is correct
68 Correct 10 ms 340 KB Output is correct
69 Correct 24 ms 340 KB Output is correct
70 Correct 19 ms 460 KB Output is correct
71 Correct 19 ms 576 KB Output is correct
72 Correct 19 ms 456 KB Output is correct
73 Correct 15 ms 460 KB Output is correct
74 Correct 14 ms 468 KB Output is correct
75 Correct 15 ms 340 KB Output is correct
76 Correct 17 ms 340 KB Output is correct
77 Correct 33 ms 596 KB Output is correct
78 Correct 30 ms 596 KB Output is correct
79 Correct 28 ms 588 KB Output is correct
80 Correct 26 ms 612 KB Output is correct
81 Correct 25 ms 596 KB Output is correct
82 Correct 22 ms 608 KB Output is correct
83 Correct 22 ms 596 KB Output is correct
84 Correct 21 ms 600 KB Output is correct
85 Correct 76 ms 596 KB Output is correct
86 Correct 50 ms 724 KB Output is correct
87 Correct 52 ms 596 KB Output is correct
88 Correct 57 ms 584 KB Output is correct
89 Correct 41 ms 716 KB Output is correct
90 Correct 41 ms 596 KB Output is correct
91 Correct 44 ms 588 KB Output is correct
92 Correct 42 ms 596 KB Output is correct
93 Correct 1405 ms 2604 KB Output is correct
94 Correct 1360 ms 2608 KB Output is correct
95 Correct 1433 ms 2620 KB Output is correct
96 Correct 1120 ms 2608 KB Output is correct
97 Correct 964 ms 2608 KB Output is correct
98 Correct 1203 ms 2616 KB Output is correct
99 Correct 111 ms 872 KB Output is correct
100 Correct 93 ms 880 KB Output is correct
101 Correct 84 ms 852 KB Output is correct
102 Correct 75 ms 852 KB Output is correct
103 Correct 967 ms 1456 KB Output is correct
104 Correct 475 ms 1476 KB Output is correct
105 Correct 345 ms 1460 KB Output is correct
106 Correct 254 ms 1452 KB Output is correct
107 Correct 2738 ms 2612 KB Output is correct
108 Correct 963 ms 2640 KB Output is correct
109 Correct 688 ms 2516 KB Output is correct
110 Correct 580 ms 2612 KB Output is correct
111 Correct 78 ms 852 KB Output is correct
112 Correct 64 ms 852 KB Output is correct
113 Correct 55 ms 852 KB Output is correct
114 Correct 210 ms 876 KB Output is correct
115 Correct 175 ms 872 KB Output is correct
116 Correct 150 ms 872 KB Output is correct
117 Correct 160 ms 872 KB Output is correct
118 Correct 124 ms 900 KB Output is correct
119 Correct 117 ms 872 KB Output is correct
120 Correct 114 ms 884 KB Output is correct
121 Correct 120 ms 876 KB Output is correct
122 Correct 228 ms 1460 KB Output is correct
123 Correct 189 ms 1452 KB Output is correct
124 Correct 166 ms 1452 KB Output is correct
125 Correct 179 ms 1452 KB Output is correct
126 Correct 178 ms 1452 KB Output is correct
127 Correct 153 ms 1452 KB Output is correct
128 Correct 134 ms 1452 KB Output is correct
129 Correct 132 ms 1460 KB Output is correct
130 Correct 127 ms 1456 KB Output is correct
131 Correct 658 ms 1456 KB Output is correct
132 Correct 465 ms 1448 KB Output is correct
133 Correct 474 ms 1452 KB Output is correct
134 Correct 499 ms 1448 KB Output is correct
135 Correct 399 ms 1456 KB Output is correct
136 Correct 366 ms 1472 KB Output is correct
137 Correct 363 ms 1456 KB Output is correct
138 Correct 388 ms 1484 KB Output is correct
139 Correct 287 ms 1456 KB Output is correct
140 Correct 298 ms 1452 KB Output is correct
141 Correct 316 ms 1464 KB Output is correct
142 Correct 574 ms 2608 KB Output is correct
143 Correct 512 ms 2612 KB Output is correct
144 Correct 476 ms 2604 KB Output is correct
145 Correct 457 ms 2604 KB Output is correct
146 Correct 405 ms 2496 KB Output is correct
147 Correct 401 ms 2600 KB Output is correct
148 Correct 551 ms 2508 KB Output is correct
149 Correct 516 ms 2604 KB Output is correct
150 Correct 531 ms 2628 KB Output is correct
151 Correct 765 ms 2624 KB Output is correct
152 Correct 690 ms 2608 KB Output is correct
153 Correct 1193 ms 2608 KB Output is correct
154 Correct 1088 ms 2604 KB Output is correct
155 Correct 1136 ms 2604 KB Output is correct
156 Correct 1165 ms 2608 KB Output is correct
157 Correct 1059 ms 2608 KB Output is correct
158 Correct 1148 ms 2620 KB Output is correct
159 Correct 932 ms 2612 KB Output is correct
160 Correct 914 ms 2612 KB Output is correct
161 Correct 988 ms 2600 KB Output is correct
162 Correct 863 ms 2608 KB Output is correct
163 Correct 883 ms 2600 KB Output is correct
164 Correct 816 ms 2612 KB Output is correct
165 Correct 780 ms 2604 KB Output is correct
166 Correct 821 ms 2620 KB Output is correct
167 Correct 816 ms 2608 KB Output is correct