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 ;
const int mod = 1e9 + 7 ;
int Add(int x , int y)
{
int z = x + y ;
if(z >= mod)
z -= mod ;
return z ;
}
int Sub(int x , int y)
{
int z = x - y ;
if(z < 0)
z += mod ;
return z ;
}
int Mul(int x , int y)
{
return (1ll * x * y) % mod ;
}
const int MAX = 3000 + 10 ;
int arr[MAX] ;
int n , m ;
int dp[MAX][MAX] ;
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n>>m ;
for(int i = 0 ; i <= max(n , m) ; ++i)
dp[0][i] = dp[i][0] = 1 ;
for(int i = 1 ; i <= n ; ++i)
{
for(int j = 1 ; j <= m ; ++j)
{
dp[i][j] = Add(dp[i-1][j] , Mul(dp[i-1][j-1] , 4*j)) ;
if(j >= 2)
dp[i][j] = Add(dp[i][j] , Mul(dp[i-1][j-2] , j * (j-1) / 2)) ;
if(i >= 2)
dp[i][j] = Add(dp[i][j] , Mul(dp[i-2][j-1] , (i-1) * j)) ;
}
}
return cout<<Sub(dp[n][m] , 1)<<"\n" , 0 ;
}
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