Submission #914379

#TimeUsernameProblemLanguageResultExecution timeMemory
914379AndreyTents (JOI18_tents)C++14
100 / 100
73 ms70748 KiB
#include<bits/stdc++.h>
using namespace std;

const long long MOD = 1e9+7;

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    long long n,m;
    cin >> n >> m;
    long long dp[n+1][m+1];
    for(long long i = 0; i <= m; i++) {
        dp[0][i] = 1;
    }
    for(long long i = 0; i <= n; i++) {
        dp[i][0] = 1;
    }
    for(long long i = 1; i <= n; i++) {
        for(long long j = 1; j <= m; j++) {
            dp[i][j] = 0;
            dp[i][j]+=dp[i-1][j];
            if(j >= 2) {
                dp[i][j]+=(((j*(j-1)/2))%MOD)*dp[i-1][j-2];
            }
            dp[i][j]+=4*j*dp[i-1][j-1];
            if(i >= 2) {
                dp[i][j]+=j*(i-1)*dp[i-2][j-1];
            }
            dp[i][j]%=MOD;
        }
    }
    cout << (dp[n][m]-1+MOD)%MOD;
    return 0;
}
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