This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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;
}
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