Submission #667181

# Submission time Handle Problem Language Result Execution time Memory
667181 2022-11-30T16:10:36 Z Kahou Tents (JOI18_tents) C++14
100 / 100
225 ms 71204 KB
#include<bits/stdc++.h>
using namespace std;
#define F first
#define s second
#define endl '\n'
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll,ll> pll;

const int mod = 1e9 + 7;
int add(int a, int b) {
	a += b;
	if (a >= mod) a -= mod;
	if (a < 0) a += mod;
	return a;
}
int mul(int a, int b) {
	return 1ll*a*b%mod;
}

const int N = 3005;
int H, W, dp[N][N], dp2[N], C[N][N];

void solve() {
	cin >> H >> W;
	C[0][0] = 1;
	for (int x = 1; x < N; x++) {
		C[x][0] = 1;
		for (int y = 1; y < N; y++) {
			C[x][y] = add(C[x-1][y-1], C[x-1][y]);
		}
	}
	for (int y = 0; y < N; y++) {
		dp[0][y] = 1;
	}
	for (int x = 1; x < N; x++) {
		dp[x][0] = 1;
		for (int y = 1; y < N; y++) {
			dp[x][y] = add(mul(4, mul(dp[x-1][y-1], y)), dp[x-1][y]);
		}
	}
	dp2[0] = 1;
	for (int x = 1; x < N/2; x++) {
		dp2[x] = mul(dp2[x-1], C[2*x][2]);
	}
	int ans = 0;
	for (int x = 0; x <= H; x++) {
		for (int y = 0; y <= W; y++) {
			if (x+2*y > H || 2*x+y > W) continue;

			int tmp = 1;
			tmp = mul(tmp, C[H][x]);
			tmp = mul(tmp, C[W][2*x]);
			tmp = mul(tmp, C[H-x][2*y]);
			tmp = mul(tmp, C[W-2*x][y]);
			tmp = mul(tmp, dp[H-x-2*y][W-2*x-y]);
			tmp = mul(tmp, dp2[x]);
			tmp = mul(tmp, dp2[y]);
			ans = add(ans, tmp);
		}
	}
	cout << ans-1 << endl;
}

int main() {
	ios::sync_with_stdio(0), cin.tie(0);
	solve();
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 146 ms 70920 KB Output is correct
2 Correct 147 ms 70920 KB Output is correct
3 Correct 150 ms 70888 KB Output is correct
4 Correct 149 ms 70976 KB Output is correct
5 Correct 147 ms 71204 KB Output is correct
6 Correct 157 ms 70972 KB Output is correct
7 Correct 147 ms 70992 KB Output is correct
8 Correct 146 ms 70988 KB Output is correct
9 Correct 145 ms 70916 KB Output is correct
10 Correct 145 ms 70896 KB Output is correct
11 Correct 155 ms 70876 KB Output is correct
12 Correct 154 ms 71052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 146 ms 70920 KB Output is correct
2 Correct 147 ms 70920 KB Output is correct
3 Correct 150 ms 70888 KB Output is correct
4 Correct 149 ms 70976 KB Output is correct
5 Correct 147 ms 71204 KB Output is correct
6 Correct 157 ms 70972 KB Output is correct
7 Correct 147 ms 70992 KB Output is correct
8 Correct 146 ms 70988 KB Output is correct
9 Correct 145 ms 70916 KB Output is correct
10 Correct 145 ms 70896 KB Output is correct
11 Correct 155 ms 70876 KB Output is correct
12 Correct 154 ms 71052 KB Output is correct
13 Correct 152 ms 70920 KB Output is correct
14 Correct 151 ms 70920 KB Output is correct
15 Correct 199 ms 70988 KB Output is correct
16 Correct 150 ms 70884 KB Output is correct
17 Correct 152 ms 70964 KB Output is correct
18 Correct 154 ms 70904 KB Output is correct
19 Correct 201 ms 71088 KB Output is correct
20 Correct 203 ms 70996 KB Output is correct
21 Correct 169 ms 71020 KB Output is correct
22 Correct 168 ms 71052 KB Output is correct
23 Correct 153 ms 70904 KB Output is correct
24 Correct 225 ms 70956 KB Output is correct
25 Correct 197 ms 70928 KB Output is correct
26 Correct 210 ms 71000 KB Output is correct
27 Correct 212 ms 70916 KB Output is correct