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<iostream>
#include<algorithm>
#include<vector>
#define ll long long
#define pb push_back
using namespace std;
const ll mod = (ll)1e9 + 7;
ll mul(ll a, ll b){
return 1LL * (a%mod) * (b%mod) % mod;
}
ll add(ll a, ll b){
return ((a%mod) + (b%mod) ) % mod;
}
const int N = (int)3002;
ll dp[N][N];
int n, m;
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> m;
for(int i = 0; i <= n; i ++){
for(int j = 0; j <= m; j ++){
if(i == 0 || j == 0){
dp[i][j]= 1;
continue;
}
dp[i][j] = dp[i][j-1];
dp[i][j] = add(dp[i][j], mul(1LL * i * 4, dp[i-1][j-1]));
if(j > 1)dp[i][j] = add(dp[i][j], mul(1LL * i * (j - 1) , dp[i-1][j-2]));
if(i > 1)dp[i][j] = add(dp[i][j], mul(1LL * i * (i - 1) / 2, dp[i-2][j-1]));
//cout << i << " " << j << " : " << dp[i][j] - 1 << endl;
}
}
cout << add( -1, dp[n][m]) << endl;
}
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