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Submission #786757

# Submission time Handle Problem Language Result Execution time Memory
786757 2023-07-18T12:32:27 Z flappybird NoM (RMI21_nom) C++17
100 / 100
 304 ms 117164 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O0")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define MAX 2020
#define MAXS 22
#define INF 1000000000000000001
#define bb ' '
#define ln '\n'
#define Ln '\n'
#define MOD 1000000007
ll fact[MAX * 2];
int A[MAX];
ll dp[MAX][MAX * 2];
ll C[MAX * 2][MAX * 2];
signed main() {
	ios::sync_with_stdio(false), cin.tie(0);
	int N, M;
	cin >> N >> M;
	int i, j, k;
	fact[0] = 1;
	for (i = 1; i <= N * 2; i++) fact[i] = (fact[i - 1] * i) % MOD;
	C[0][0] = 1;
	for (i = 1; i <= N * 2; i++) {
		C[i][0] = C[i][i] = 1;
		for (j = 1; j < i; j++) C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % MOD;
	}
	for (i = 1; i <= N * 2; i++) A[i % M]++;
	dp[0][A[0]] = 1;
	int sum = A[0];
	for (i = 1; i < M; ++i) {
		for (j = 0; j <= sum; ++j) for (k = 0; k <= j && k <= A[i]; ++k) dp[i][j + A[i] - k * 2] = (dp[i][j + A[i] - k * 2] + dp[i - 1][j] * ((C[A[i]][k] * ((C[j][k] * fact[k]) % MOD)) % MOD)) % MOD;
		sum += A[i];
	}
	ll ans = (dp[M - 1][0] * fact[N]) % MOD;
	for (i = 1; i <= N; i++) {
		ans <<= 1;
		ans %= MOD;
	}
	cout << ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1108 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 980 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1108 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 980 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 2 ms 2200 KB Output is correct
21 Correct 2 ms 2388 KB Output is correct
22 Correct 6 ms 5156 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 6 ms 4948 KB Output is correct
25 Correct 5 ms 4948 KB Output is correct
26 Correct 4 ms 3540 KB Output is correct
27 Correct 8 ms 6052 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1108 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 980 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 2 ms 2200 KB Output is correct
21 Correct 2 ms 2388 KB Output is correct
22 Correct 6 ms 5156 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 6 ms 4948 KB Output is correct
25 Correct 5 ms 4948 KB Output is correct
26 Correct 4 ms 3540 KB Output is correct
27 Correct 8 ms 6052 KB Output is correct
28 Correct 17 ms 11636 KB Output is correct
29 Correct 25 ms 15388 KB Output is correct
30 Correct 29 ms 17628 KB Output is correct
31 Correct 17 ms 11948 KB Output is correct
32 Correct 33 ms 16448 KB Output is correct
33 Correct 35 ms 20456 KB Output is correct
34 Correct 55 ms 30232 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1108 KB Output is correct
13 Correct 1 ms 980 KB Output is correct
14 Correct 1 ms 980 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1108 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 2 ms 2200 KB Output is correct
21 Correct 2 ms 2388 KB Output is correct
22 Correct 6 ms 5156 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 6 ms 4948 KB Output is correct
25 Correct 5 ms 4948 KB Output is correct
26 Correct 4 ms 3540 KB Output is correct
27 Correct 8 ms 6052 KB Output is correct
28 Correct 17 ms 11636 KB Output is correct
29 Correct 25 ms 15388 KB Output is correct
30 Correct 29 ms 17628 KB Output is correct
31 Correct 17 ms 11948 KB Output is correct
32 Correct 33 ms 16448 KB Output is correct
33 Correct 35 ms 20456 KB Output is correct
34 Correct 55 ms 30232 KB Output is correct
35 Correct 102 ms 55080 KB Output is correct
36 Correct 239 ms 95604 KB Output is correct
37 Correct 104 ms 53760 KB Output is correct
38 Correct 160 ms 70280 KB Output is correct
39 Correct 191 ms 77516 KB Output is correct
40 Correct 304 ms 117164 KB Output is correct