Submission #33996

# Submission time Handle Problem Language Result Execution time Memory
33996 2017-11-06T02:01:26 Z aome 마스코트 (JOI13_mascots) C++14
100 / 100
106 ms 37472 KB
#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;
}
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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 6 ms 37472 KB Output is correct
5 Correct 6 ms 37472 KB Output is correct
6 Correct 26 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 56 ms 37472 KB Output is correct
10 Correct 89 ms 37472 KB Output is correct
11 Correct 49 ms 37472 KB Output is correct
12 Correct 66 ms 37472 KB Output is correct
13 Correct 6 ms 37472 KB Output is correct
14 Correct 59 ms 37472 KB Output is correct
15 Correct 106 ms 37472 KB Output is correct
16 Correct 79 ms 37472 KB Output is correct
17 Correct 53 ms 37472 KB Output is correct
18 Correct 83 ms 37472 KB Output is correct