oj.uz

답안 #34003

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
34003 2017-11-06T02:09:23 Z ngkan146 마스코트 (JOI13_mascots) C++
100 / 100
 89 ms 37472 KB 
// aome & ngkan
#include <bits/stdc++.h>
using namespace std;
 
const int N = 3005;
const int mod = 1e9 + 7;
 
int n, m, q, res = 1;
int prd[N], inv[N];
int f[N][N];
int mnX, mxX, mnY, mxY;
int lenX, lenY;
 
int pw(int x, int y) {
	if (!y) return 1;
	int ret = pw(x, y >> 1); ret = 1LL * ret * ret % mod;
	if (y & 1) ret = 1LL * ret * x % mod; return ret;
}
 
int C(int n, int k) {
	if (n < k) return 0;
	return 1LL * prd[n] * inv[n - k] % mod * inv[k] % mod;
}
 
int main() {
	ios::sync_with_stdio(false);
	cin >> n >> m >> q;
	prd[0] = inv[0] = 1;
	for (int i = 1; i < N; ++i) {
		prd[i] = 1LL * prd[i - 1] * i % mod, inv[i] = pw(prd[i], mod - 2);
	}
	mnX = mnY = 1e9;
	for (int i = 1; i <= q; ++i) {
		int x, y; cin >> x >> y;
		mnX = min(mnX, x), mnY = min(mnY, y);
		mxX = max(mxX, x), mxY = max(mxY, y);
	}
	lenX = mxX - mnX + 1, lenY = mxY - mnY + 1;
	int cntIn = lenX * lenY - q;
	for (int i = 1; i <= cntIn; ++i) res = 1LL * res * i % mod;
	f[lenX][lenY] = 1;
	for (int i = lenX; i <= n; ++i) {
		for (int j = lenY; j <= m; ++j) {
			if (i == lenX && j == lenY) continue;
			if (i != lenX) f[i][j] = (f[i][j] + 1LL * f[i - 1][j] * prd[j]) % mod;
			if (j != lenY) f[i][j] = (f[i][j] + 1LL * f[i][j - 1] * prd[i]) % mod;
		}
	}
	res = 1LL * res * f[n][m] % mod;
	res = 1LL * res * C(n - lenX, n - mxX) % mod * C(m - lenY, m - mxY) % mod;
	cout << res;
}

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 37472 KB Output is correct
2 Correct 0 ms 37472 KB Output is correct
3 Correct 0 ms 37472 KB Output is correct
4 Correct 0 ms 37472 KB Output is correct
5 Correct 0 ms 37472 KB Output is correct
6 Correct 0 ms 37472 KB Output is correct
7 Correct 0 ms 37472 KB Output is correct
8 Correct 0 ms 37472 KB Output is correct

Subtask #2
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 37472 KB Output is correct
2 Correct 0 ms 37472 KB Output is correct
3 Correct 0 ms 37472 KB Output is correct
4 Correct 0 ms 37472 KB Output is correct
5 Correct 0 ms 37472 KB Output is correct
6 Correct 0 ms 37472 KB Output is correct
7 Correct 0 ms 37472 KB Output is correct
8 Correct 0 ms 37472 KB Output is correct
9 Correct 0 ms 37472 KB Output is correct
10 Correct 0 ms 37472 KB Output is correct
11 Correct 0 ms 37472 KB Output is correct
12 Correct 0 ms 37472 KB Output is correct

Subtask #3
60.0 / 60.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 37472 KB Output is correct
2 Correct 3 ms 37472 KB Output is correct
3 Correct 0 ms 37472 KB Output is correct
4 Correct 9 ms 37472 KB Output is correct
5 Correct 3 ms 37472 KB Output is correct
6 Correct 19 ms 37472 KB Output is correct
7 Correct 6 ms 37472 KB Output is correct
8 Correct 0 ms 37472 KB Output is correct
9 Correct 53 ms 37472 KB Output is correct
10 Correct 73 ms 37472 KB Output is correct
11 Correct 56 ms 37472 KB Output is correct
12 Correct 73 ms 37472 KB Output is correct
13 Correct 3 ms 37472 KB Output is correct
14 Correct 63 ms 37472 KB Output is correct
15 Correct 83 ms 37472 KB Output is correct
16 Correct 66 ms 37472 KB Output is correct
17 Correct 56 ms 37472 KB Output is correct
18 Correct 89 ms 37472 KB Output is correct