Submission #548231

# Submission time Handle Problem Language Result Execution time Memory
548231 2022-04-12T18:19:43 Z Olympia Amusement Park (CEOI19_amusementpark) C++17
100 / 100
2253 ms 2724 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];
            }
            if (dp[i] >= MOD) 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 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 236 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 236 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 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 212 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 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 236 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 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 212 KB Output is correct
24 Correct 1 ms 212 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 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 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 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 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 212 KB Output is correct
48 Correct 1 ms 328 KB Output is correct
49 Correct 1 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 320 KB Output is correct
53 Correct 1 ms 320 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 324 KB Output is correct
59 Correct 1 ms 320 KB Output is correct
60 Correct 1 ms 212 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 212 KB Output is correct
# Verdict Execution time Memory 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 236 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 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 212 KB Output is correct
24 Correct 1 ms 212 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 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 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 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 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 212 KB Output is correct
48 Correct 1 ms 328 KB Output is correct
49 Correct 1 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 320 KB Output is correct
53 Correct 1 ms 320 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 324 KB Output is correct
59 Correct 1 ms 320 KB Output is correct
60 Correct 1 ms 212 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 212 KB Output is correct
65 Correct 32 ms 340 KB Output is correct
66 Correct 15 ms 456 KB Output is correct
67 Correct 10 ms 488 KB Output is correct
68 Correct 10 ms 448 KB Output is correct
69 Correct 24 ms 340 KB Output is correct
70 Correct 21 ms 468 KB Output is correct
71 Correct 20 ms 340 KB Output is correct
72 Correct 23 ms 340 KB Output is correct
73 Correct 16 ms 340 KB Output is correct
74 Correct 14 ms 340 KB Output is correct
75 Correct 18 ms 340 KB Output is correct
76 Correct 14 ms 340 KB Output is correct
77 Correct 68 ms 596 KB Output is correct
78 Correct 40 ms 596 KB Output is correct
79 Correct 53 ms 584 KB Output is correct
80 Correct 63 ms 596 KB Output is correct
81 Correct 71 ms 596 KB Output is correct
82 Correct 25 ms 596 KB Output is correct
83 Correct 22 ms 576 KB Output is correct
84 Correct 35 ms 596 KB Output is correct
85 Correct 72 ms 596 KB Output is correct
86 Correct 57 ms 596 KB Output is correct
87 Correct 52 ms 580 KB Output is correct
88 Correct 58 ms 596 KB Output is correct
89 Correct 46 ms 596 KB Output is correct
90 Correct 40 ms 576 KB Output is correct
91 Correct 47 ms 476 KB Output is correct
92 Correct 47 ms 596 KB Output is correct
# Verdict Execution time Memory 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 236 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 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 212 KB Output is correct
24 Correct 1 ms 212 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 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 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 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 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 212 KB Output is correct
48 Correct 1 ms 328 KB Output is correct
49 Correct 1 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 320 KB Output is correct
53 Correct 1 ms 320 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 324 KB Output is correct
59 Correct 1 ms 320 KB Output is correct
60 Correct 1 ms 212 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 212 KB Output is correct
65 Correct 32 ms 340 KB Output is correct
66 Correct 15 ms 456 KB Output is correct
67 Correct 10 ms 488 KB Output is correct
68 Correct 10 ms 448 KB Output is correct
69 Correct 24 ms 340 KB Output is correct
70 Correct 21 ms 468 KB Output is correct
71 Correct 20 ms 340 KB Output is correct
72 Correct 23 ms 340 KB Output is correct
73 Correct 16 ms 340 KB Output is correct
74 Correct 14 ms 340 KB Output is correct
75 Correct 18 ms 340 KB Output is correct
76 Correct 14 ms 340 KB Output is correct
77 Correct 68 ms 596 KB Output is correct
78 Correct 40 ms 596 KB Output is correct
79 Correct 53 ms 584 KB Output is correct
80 Correct 63 ms 596 KB Output is correct
81 Correct 71 ms 596 KB Output is correct
82 Correct 25 ms 596 KB Output is correct
83 Correct 22 ms 576 KB Output is correct
84 Correct 35 ms 596 KB Output is correct
85 Correct 72 ms 596 KB Output is correct
86 Correct 57 ms 596 KB Output is correct
87 Correct 52 ms 580 KB Output is correct
88 Correct 58 ms 596 KB Output is correct
89 Correct 46 ms 596 KB Output is correct
90 Correct 40 ms 576 KB Output is correct
91 Correct 47 ms 476 KB Output is correct
92 Correct 47 ms 596 KB Output is correct
93 Correct 1432 ms 2628 KB Output is correct
94 Correct 1318 ms 2608 KB Output is correct
95 Correct 1447 ms 2600 KB Output is correct
96 Correct 1093 ms 2620 KB Output is correct
97 Correct 904 ms 2620 KB Output is correct
98 Correct 1073 ms 2600 KB Output is correct
99 Correct 116 ms 852 KB Output is correct
100 Correct 91 ms 852 KB Output is correct
101 Correct 85 ms 884 KB Output is correct
102 Correct 72 ms 852 KB Output is correct
103 Correct 805 ms 1448 KB Output is correct
104 Correct 440 ms 1452 KB Output is correct
105 Correct 354 ms 1444 KB Output is correct
106 Correct 266 ms 1448 KB Output is correct
107 Correct 2253 ms 2600 KB Output is correct
108 Correct 914 ms 2608 KB Output is correct
109 Correct 686 ms 2604 KB Output is correct
110 Correct 551 ms 2608 KB Output is correct
111 Correct 64 ms 876 KB Output is correct
112 Correct 56 ms 892 KB Output is correct
113 Correct 56 ms 852 KB Output is correct
114 Correct 194 ms 880 KB Output is correct
115 Correct 144 ms 852 KB Output is correct
116 Correct 141 ms 868 KB Output is correct
117 Correct 134 ms 872 KB Output is correct
118 Correct 114 ms 880 KB Output is correct
119 Correct 113 ms 888 KB Output is correct
120 Correct 101 ms 876 KB Output is correct
121 Correct 101 ms 868 KB Output is correct
122 Correct 234 ms 1448 KB Output is correct
123 Correct 169 ms 1364 KB Output is correct
124 Correct 158 ms 1448 KB Output is correct
125 Correct 164 ms 1364 KB Output is correct
126 Correct 143 ms 1456 KB Output is correct
127 Correct 142 ms 1448 KB Output is correct
128 Correct 131 ms 1448 KB Output is correct
129 Correct 169 ms 1448 KB Output is correct
130 Correct 116 ms 1452 KB Output is correct
131 Correct 547 ms 1468 KB Output is correct
132 Correct 439 ms 1448 KB Output is correct
133 Correct 400 ms 1452 KB Output is correct
134 Correct 396 ms 1468 KB Output is correct
135 Correct 339 ms 1448 KB Output is correct
136 Correct 319 ms 1452 KB Output is correct
137 Correct 304 ms 1364 KB Output is correct
138 Correct 317 ms 1452 KB Output is correct
139 Correct 282 ms 1448 KB Output is correct
140 Correct 244 ms 1364 KB Output is correct
141 Correct 264 ms 1448 KB Output is correct
142 Correct 468 ms 2724 KB Output is correct
143 Correct 428 ms 2600 KB Output is correct
144 Correct 386 ms 2612 KB Output is correct
145 Correct 365 ms 2620 KB Output is correct
146 Correct 342 ms 2616 KB Output is correct
147 Correct 326 ms 2600 KB Output is correct
148 Correct 485 ms 2612 KB Output is correct
149 Correct 444 ms 2608 KB Output is correct
150 Correct 473 ms 2600 KB Output is correct
151 Correct 591 ms 2616 KB Output is correct
152 Correct 606 ms 2600 KB Output is correct
153 Correct 1034 ms 2636 KB Output is correct
154 Correct 992 ms 2620 KB Output is correct
155 Correct 882 ms 2620 KB Output is correct
156 Correct 878 ms 2600 KB Output is correct
157 Correct 958 ms 2644 KB Output is correct
158 Correct 917 ms 2600 KB Output is correct
159 Correct 820 ms 2616 KB Output is correct
160 Correct 707 ms 2600 KB Output is correct
161 Correct 698 ms 2616 KB Output is correct
162 Correct 697 ms 2600 KB Output is correct
163 Correct 729 ms 2600 KB Output is correct
164 Correct 644 ms 2600 KB Output is correct
165 Correct 587 ms 2600 KB Output is correct
166 Correct 638 ms 2620 KB Output is correct
167 Correct 611 ms 2600 KB Output is correct