| # |
제출 시각 |
아이디 |
문제 |
언어 |
결과 |
실행 시간 |
메모리 |
| 786378 |
2023-07-18T07:16:38 Z |
박영우(#10030) |
NoM (RMI21_nom) |
C++17 |
|
4 ms |
1492 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; }
ll mpow(ll x, ll y = MOD - 2) {
if (!y) return 1;
ll res = mpow(x, y >> 1);
res *= res;
res %= MOD;
if (y & 1) res = (res * x) % MOD;
return res;
}
ll P(ll n, ll r) {
return (C[n][r] * fact[r]) % MOD;
}
signed main() {
ios::sync_with_stdio(false), cin.tie(0);
int N, M;
cin >> N >> M;
int i, j, k;
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]++;
fact[0] = 1;
for (i = 1; i <= N * 2; i++) fact[i] = (fact[i - 1] * i) % MOD;
dp[0][A[0]] = 1;
int sum = A[0];
for (i = 1; i < M; i++, sum += A[i]) for (j = 0; j <= sum; j++) for (k = 0; k <= min(j, A[i]); k++) add(dp[i][j + A[i] - k * 2], dp[i - 1][j] * ((P(A[i], k) * C[j][k]) % MOD));
ll ans = (dp[M - 1][0] * fact[N]) % MOD;
ans *= mpow(2, N);
ans %= MOD;
cout << ans;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
4 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 |
1 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 |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
4 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 |
1 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 |
2 ms |
1492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1128 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Incorrect |
0 ms |
980 KB |
Output isn't correct |
| 15 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
4 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 |
1 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 |
2 ms |
1492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1128 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Incorrect |
0 ms |
980 KB |
Output isn't correct |
| 15 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
4 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 |
1 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 |
2 ms |
1492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1128 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Incorrect |
0 ms |
980 KB |
Output isn't correct |
| 15 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
4 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 |
1 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 |
2 ms |
1492 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1128 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Incorrect |
0 ms |
980 KB |
Output isn't correct |
| 15 |
Halted |
0 ms |
0 KB |
- |
