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Submission #705606

# Submission time Handle Problem Language Result Execution time Memory
705606 2023-03-04T19:08:45 Z finn__ Amusement Park (CEOI19_amusementpark) C++17
42 / 100
 14 ms 440 KB 
#include <bits/stdc++.h>
using namespace std;

#define N 18
#define MOD 998244353

int64_t g[N], f[1 << N];
bitset<1 << N> is_independent;

int main()
{
    size_t n, m;
    cin >> n >> m;

    for (size_t i = 0; i < m; i++)
    {
        size_t u, v;
        cin >> u >> v;
        g[u - 1] ^= (1 << (v - 1));
        g[v - 1] ^= (1 << (u - 1));
    }

    for (size_t i = 0; i < 1U << n; i++)
    {
        is_independent[i] = 1;
        for (size_t j = 0; j < n; j++)
            if (i & (1 << j))
                is_independent[i] = is_independent[i] && !(g[j] & i);
    }

    f[0] = 1;
    for (size_t i = 0; i < 1U << n; i++)
    {
        for (size_t j = i; j; j = (j - 1) & i)
            if (is_independent[j])
                f[i] += f[i ^ j] * ((__builtin_popcount(j) & 1) ? 1 : -1);
        f[i] %= MOD;
    }

    cout << (m * f[(1 << n) - 1] * 499122177) % MOD << '\n';
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 304 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 0 ms 312 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 0 ms 212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 304 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 0 ms 312 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 0 ms 212 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 0 ms 312 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 304 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 0 ms 312 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 0 ms 212 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 0 ms 312 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 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 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 312 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 0 ms 308 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 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 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 316 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 316 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 312 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 316 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 220 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 312 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct

Subtask #4
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 304 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 0 ms 312 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 0 ms 212 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 0 ms 312 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 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 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 312 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 0 ms 308 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 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 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 316 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 316 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 312 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 316 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 220 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 312 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 14 ms 440 KB Output is correct
66 Correct 12 ms 340 KB Output is correct
67 Incorrect 10 ms 440 KB Output isn't correct
68 Halted 0 ms 0 KB -

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 304 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 0 ms 312 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 0 ms 212 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 0 ms 312 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 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 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 312 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 0 ms 308 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 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 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 316 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 316 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 312 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 316 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 220 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 312 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 14 ms 440 KB Output is correct
66 Correct 12 ms 340 KB Output is correct
67 Incorrect 10 ms 440 KB Output isn't correct
68 Halted 0 ms 0 KB -