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;
#define ll long long
const ll mod=1e9+7;
ll dp[3002][3002];
ll n,m;
ll solve(ll x,ll y)
{
if(x==0||y==0)return 1;
if(x<0||y<0)return 0;
if(dp[x][y]!=-1)return dp[x][y];
ll val=0;
val+=solve(x,y-1);
val+=x*4*solve(x-1,y-1);
val%=mod;
val+=x*(x-1)/2*solve(x-2,y-1);
val%=mod;
val+=x*(y-1)*solve(x-1,y-2);
val%=mod;
return dp[x][y]=val;
}
int main()
{
memset(dp,-1,sizeof(dp));
cin>>n>>m;
cout<<(solve(n,m)+mod-1)%mod<<endl;
return 0;
}
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