oj.uz

답안 #509533

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
509533 2022-01-14T06:31:39 Z hohohaha NoM (RMI21_nom) C++14
100 / 100
 144 ms 39620 KB 
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
// #pragma GCC optimize("unroll-loops")

#include "bits/stdc++.h"
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/trie_policy.hpp>
// #include <ext/rope>

using namespace std;
// using namespace __gnu_pbds;
// using namespace __gnu_cxx;

#define li long long
#define ld long double
#define ii pair<int, int>
#define vi vector<int> 
#define vvi vector<vi>


#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pf push_front
#define eb emplace_back
#define em emplace
#define ob pop_back
#define om pop
#define of pop_front

#define fr front
#define bc back

#define fori(i, a, b) for(int i = (int) (a); i <= (int) (b); ++i)
#define ford(i, a, b) for(int i = (int) (a); i >= (int) (b); --i)

#define all(x) begin(x), end(x)
#define sz(x) ((int)(x).size())
#define bitc __builtin_popcountll

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rand rng
#define endl '\n'
#define sp ' '

#define fastio() ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

#define forIT(it, begin, end) for(__typeof(end) it = (begin) - ((begin) > (end)); it != (end) - ((begin) > (end)); it += 1 - 2 * ((begin) > (end)) )

void solve();

signed main() {
//	freopen("test.inp", "r", stdin); 
//   fastio();
   int tc = 1;
//   cin >> tc; 
   fori(test, 1, tc) {
      solve();
   }
   return 0;
}

#define int long long
const ld pi = 4 * atan(1.0), eps = 1e-9;
const int maxn = 4000 + 5, inf = LLONG_MAX / 100ll, mod = 1e9 + 7;

int n, m; 
int fac[maxn]; 
int inv_fac[maxn]; 
int bp(int i, int p) { 	
	int r = 1;
	while(p) { 
		if(p & 1) r = r * i % mod; 
		i = i * i % mod; 
		p >>= 1; 
	}
	return r; 
}
int C(int n, int k) { 
	if(k < 0 or k > n) return 0; 
	return fac[n] * inv_fac[n - k] % mod * inv_fac[k] % mod;
}
int dp[maxn][maxn]; 
int w[maxn]; 
void solve() {	
	cin >> n >> m; 
	fac[0] = inv_fac[0] = 1; 
	fori(i,1,2 * n) { 
	 	fac[i] = fac[i - 1] * i % mod; 
	 	inv_fac[i] = bp(fac[i], mod -2); 
	 }
	fori(i, 0, m - 1) { 	
		int num = 2 * n / m + (i < 2 * n % m);  
//		cout << i << sp << num << sp << endl; 
	 	fori(used, 0, n) { 
	 	 	fori(tran, 0, num / 2) { 
	 	 		(dp[i][used + tran] += (i? dp[i - 1][used]: used == 0) * C(tran + used, tran) % mod * fac[num] % mod * inv_fac[num - 2 * tran] % mod) %= mod;  
	 	 	}
	 	 }
//	 	fori(used, 0, n) { 
//	 	 	cout << i << sp << used << sp << dp[i][used] << endl; 
//	 	 }
	 }
//	 cout << C(2, 1) << endl; 
	 int ans = 0; 
	 fori(i, 0, n) { 
	  	w[i] = dp[m - 1][i] * fac[2 * n - 2 * i] % mod; //cout << i << sp << w[i] << endl; 
	  	(ans += w[i] * C(n, i) * bp(-1, i) % mod) %= mod; 
	  }
	  if(ans < 0) ans += mod;
	cout << ans; 

}

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 560 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 420 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct

Subtask #3
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 560 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 420 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1868 KB Output is correct
23 Correct 2 ms 432 KB Output is correct
24 Correct 4 ms 1100 KB Output is correct
25 Correct 3 ms 1704 KB Output is correct
26 Correct 2 ms 300 KB Output is correct
27 Correct 5 ms 2124 KB Output is correct

Subtask #4
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 560 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 420 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1868 KB Output is correct
23 Correct 2 ms 432 KB Output is correct
24 Correct 4 ms 1100 KB Output is correct
25 Correct 3 ms 1704 KB Output is correct
26 Correct 2 ms 300 KB Output is correct
27 Correct 5 ms 2124 KB Output is correct
28 Correct 8 ms 428 KB Output is correct
29 Correct 12 ms 3212 KB Output is correct
30 Correct 21 ms 5544 KB Output is correct
31 Correct 8 ms 436 KB Output is correct
32 Correct 13 ms 3524 KB Output is correct
33 Correct 18 ms 6468 KB Output is correct
34 Correct 30 ms 10408 KB Output is correct

Subtask #5
48.0 / 48.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 560 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 420 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1868 KB Output is correct
23 Correct 2 ms 432 KB Output is correct
24 Correct 4 ms 1100 KB Output is correct
25 Correct 3 ms 1704 KB Output is correct
26 Correct 2 ms 300 KB Output is correct
27 Correct 5 ms 2124 KB Output is correct
28 Correct 8 ms 428 KB Output is correct
29 Correct 12 ms 3212 KB Output is correct
30 Correct 21 ms 5544 KB Output is correct
31 Correct 8 ms 436 KB Output is correct
32 Correct 13 ms 3524 KB Output is correct
33 Correct 18 ms 6468 KB Output is correct
34 Correct 30 ms 10408 KB Output is correct
35 Correct 39 ms 552 KB Output is correct
36 Correct 100 ms 30660 KB Output is correct
37 Correct 40 ms 636 KB Output is correct
38 Correct 64 ms 14148 KB Output is correct
39 Correct 125 ms 24936 KB Output is correct
40 Correct 144 ms 39620 KB Output is correct