Submission #529119

#TimeUsernameProblemLanguageResultExecution timeMemory
529119fhvirusTents (JOI18_tents)C++17
100 / 100
44 ms35476 KiB
#include <bits/stdc++.h>
using namespace std;

const int kN = 3003;
const int MOD = 1e9 + 7;

int H, W;
int dp[kN][kN];

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

	cin >> H >> W;
	for (int i = 0; i <= H; ++i) dp[i][0] = 1;
	for (int j = 0; j <= W; ++j) dp[0][j] = 1;

	for (int i = 1; i <= H; ++i)
		for (int j = 1; j <= W; ++j) {
			int64_t v = dp[i - 1][j];
			v += 4ll * j * dp[i - 1][j - 1];
			if (i >= 2) v += 1ll * dp[i - 2][j - 1] * (i - 1) * j;
			if (j >= 2) v += 1ll * dp[i - 1][j - 2] * j * (j - 1) / 2;
			dp[i][j] = v % MOD;
		}

	cout << (dp[H][W] + MOD - 1) % MOD << '\n';

	return 0;
}
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