Submission #786762

# Submission time Handle Problem Language Result Execution time Memory
786762 2023-07-18T12:36:57 Z flappybird NoM (RMI21_nom) C++17
100 / 100
171 ms 78208 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[2][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++) dp[i & 1][j] = 0;
		for (j = 0; j <= sum; ++j) for (k = 0; k <= j && k <= A[i]; ++k) dp[i & 1][j + A[i] - k * 2] = (dp[i & 1][j + A[i] - k * 2] + dp[(i ^ 1) & 1][j] * ((C[A[i]][k] * ((C[j][k] * fact[k]) % MOD)) % MOD)) % MOD;
		sum += A[i];
	}
	ll ans = (dp[(M & 1) ^ 1][0] * fact[N]) % MOD;
	for (i = 1; i <= N; i++) {
		ans <<= 1;
		ans %= MOD;
	}
	cout << ans;
}
# 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
# 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 1236 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 980 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 852 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
# 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 1236 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 980 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 852 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 1 ms 2004 KB Output is correct
21 Correct 1 ms 1880 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 3 ms 4052 KB Output is correct
25 Correct 3 ms 3412 KB Output is correct
26 Correct 2 ms 3412 KB Output is correct
27 Correct 3 ms 4180 KB Output is correct
# 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 1236 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 980 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 852 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 1 ms 2004 KB Output is correct
21 Correct 1 ms 1880 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 3 ms 4052 KB Output is correct
25 Correct 3 ms 3412 KB Output is correct
26 Correct 2 ms 3412 KB Output is correct
27 Correct 3 ms 4180 KB Output is correct
28 Correct 9 ms 11476 KB Output is correct
29 Correct 12 ms 12372 KB Output is correct
30 Correct 14 ms 12088 KB Output is correct
31 Correct 9 ms 11732 KB Output is correct
32 Correct 21 ms 13352 KB Output is correct
33 Correct 16 ms 14036 KB Output is correct
34 Correct 25 ms 20308 KB Output is correct
# 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 1236 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 980 KB Output is correct
16 Correct 1 ms 1108 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 852 KB Output is correct
19 Correct 1 ms 1108 KB Output is correct
20 Correct 1 ms 2004 KB Output is correct
21 Correct 1 ms 1880 KB Output is correct
22 Correct 3 ms 3540 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 3 ms 4052 KB Output is correct
25 Correct 3 ms 3412 KB Output is correct
26 Correct 2 ms 3412 KB Output is correct
27 Correct 3 ms 4180 KB Output is correct
28 Correct 9 ms 11476 KB Output is correct
29 Correct 12 ms 12372 KB Output is correct
30 Correct 14 ms 12088 KB Output is correct
31 Correct 9 ms 11732 KB Output is correct
32 Correct 21 ms 13352 KB Output is correct
33 Correct 16 ms 14036 KB Output is correct
34 Correct 25 ms 20308 KB Output is correct
35 Correct 52 ms 54700 KB Output is correct
36 Correct 124 ms 64180 KB Output is correct
37 Correct 49 ms 53408 KB Output is correct
38 Correct 80 ms 56312 KB Output is correct
39 Correct 102 ms 52200 KB Output is correct
40 Correct 171 ms 78208 KB Output is correct