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Submission #786750

# Submission time Handle Problem Language Result Execution time Memory
786750 2023-07-18T12:28:24 Z flappybird NoM (RMI21_nom) C++17
100 / 100
 183 ms 116940 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")
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];
void add(ll& a, ll b) { a = (a + b) % MOD; }
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 <= min(j, 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 1 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 1 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 852 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 1 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 852 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 1 ms 2132 KB Output is correct
21 Correct 1 ms 2260 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 4 ms 4948 KB Output is correct
25 Correct 3 ms 4820 KB Output is correct
26 Correct 2 ms 3540 KB Output is correct
27 Correct 5 ms 5972 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 1 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 852 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 1 ms 2132 KB Output is correct
21 Correct 1 ms 2260 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 4 ms 4948 KB Output is correct
25 Correct 3 ms 4820 KB Output is correct
26 Correct 2 ms 3540 KB Output is correct
27 Correct 5 ms 5972 KB Output is correct
28 Correct 8 ms 11604 KB Output is correct
29 Correct 13 ms 15320 KB Output is correct
30 Correct 16 ms 17568 KB Output is correct
31 Correct 9 ms 11860 KB Output is correct
32 Correct 14 ms 16388 KB Output is correct
33 Correct 19 ms 20520 KB Output is correct
34 Correct 32 ms 30156 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 1 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 852 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 1 ms 2132 KB Output is correct
21 Correct 1 ms 2260 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 4 ms 4948 KB Output is correct
25 Correct 3 ms 4820 KB Output is correct
26 Correct 2 ms 3540 KB Output is correct
27 Correct 5 ms 5972 KB Output is correct
28 Correct 8 ms 11604 KB Output is correct
29 Correct 13 ms 15320 KB Output is correct
30 Correct 16 ms 17568 KB Output is correct
31 Correct 9 ms 11860 KB Output is correct
32 Correct 14 ms 16388 KB Output is correct
33 Correct 19 ms 20520 KB Output is correct
34 Correct 32 ms 30156 KB Output is correct
35 Correct 48 ms 54904 KB Output is correct
36 Correct 140 ms 95488 KB Output is correct
37 Correct 50 ms 53644 KB Output is correct
38 Correct 84 ms 70188 KB Output is correct
39 Correct 106 ms 77388 KB Output is correct
40 Correct 183 ms 116940 KB Output is correct