Submission #494849

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
494849	2021-12-16T20:13:39 Z	NekoRolly	Tents (JOI18_tents)	C++17	100 / 100	96 ms	70856 KB

tents

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 3e3+4;
const int M = 2e2+4;
const int inf = 1e9;
const int mod = 1e9+7;

int n,m;
ll dp[N][N];

ll c2(ll k){
	return (k*k - k)/2 %mod;
}

ll pro(ll a,ll b){
	return (a*b)%mod;
}

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

	cin >> n >> m;

	for (int i=0; i<=n; i++) dp[i][0] = 1;
	for (int i=0; i<=m; i++) dp[0][i] = 1;

	for (int i=1; i<=n; i++) for (int j=1; j<=m; j++){
		dp[i][j] += dp[i-1][j] + 4 * j * dp[i-1][j-1];
		if (i >= 2) dp[i][j] += pro(i-1, j) * dp[i-2][j-1];
		if (j >= 2) dp[i][j] += c2(j) * dp[i-1][j-2];
		dp[i][j] %= mod;
	}

	cout << (dp[n][m]+mod-1)%mod << "\n";

	return 0;
}	

Subtask #1

48.0 / 48.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	444 KB	Output is correct
2	Correct	1 ms	208 KB	Output is correct
3	Correct	1 ms	452 KB	Output is correct
4	Correct	1 ms	1116 KB	Output is correct
5	Correct	1 ms	592 KB	Output is correct
6	Correct	1 ms	1360 KB	Output is correct
7	Correct	1 ms	836 KB	Output is correct
8	Correct	1 ms	1360 KB	Output is correct
9	Correct	1 ms	720 KB	Output is correct
10	Correct	1 ms	1732 KB	Output is correct
11	Correct	1 ms	336 KB	Output is correct
12	Correct	2 ms	2240 KB	Output is correct

Subtask #2

52.0 / 52.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	444 KB	Output is correct
2	Correct	1 ms	208 KB	Output is correct
3	Correct	1 ms	452 KB	Output is correct
4	Correct	1 ms	1116 KB	Output is correct
5	Correct	1 ms	592 KB	Output is correct
6	Correct	1 ms	1360 KB	Output is correct
7	Correct	1 ms	836 KB	Output is correct
8	Correct	1 ms	1360 KB	Output is correct
9	Correct	1 ms	720 KB	Output is correct
10	Correct	1 ms	1732 KB	Output is correct
11	Correct	1 ms	336 KB	Output is correct
12	Correct	2 ms	2240 KB	Output is correct
13	Correct	1 ms	320 KB	Output is correct
14	Correct	4 ms	9644 KB	Output is correct
15	Correct	56 ms	55120 KB	Output is correct
16	Correct	4 ms	4048 KB	Output is correct
17	Correct	14 ms	12768 KB	Output is correct
18	Correct	17 ms	16968 KB	Output is correct
19	Correct	66 ms	62812 KB	Output is correct
20	Correct	47 ms	50888 KB	Output is correct
21	Correct	32 ms	33680 KB	Output is correct
22	Correct	32 ms	35404 KB	Output is correct
23	Correct	21 ms	27088 KB	Output is correct
24	Correct	72 ms	70856 KB	Output is correct
25	Correct	64 ms	61188 KB	Output is correct
26	Correct	96 ms	66540 KB	Output is correct
27	Correct	72 ms	68976 KB	Output is correct