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>
using namespace std;
int mod=1000000007;
long long dp[4000][4000];
int main()
{
cin.tie(0);
cout.tie(0);
ios_base::sync_with_stdio(0);
int h,w;
cin>>h>>w;
dp[1][1]=1;
for(int i=2;i<=h+1;i++)
{
for(int j=2;j<=w+1;j++)
{
if(i==2)
dp[i][j]=1;
else dp[i][j]=dp[i-1][j];
if(i==2 || j==2)
dp[i][j]+=(j-1)*4;
else dp[i][j]+=(j-1)*4*dp[i-1][j-1];
dp[i][j]%=mod;
if(i==3 || j==2)
dp[i][j]+=(j-1)*(i-2);
else dp[i][j]+=(j-1)*(i-2)*dp[i-2][j-1];
dp[i][j]%=mod;
if(i==2 || j==3)
dp[i][j]+=(j-1)*(j-2)/2;
else dp[i][j]+=((j-1)*(j-2)/2)*dp[i-1][j-2];
dp[i][j]%=mod;
}
}
cout<<dp[h+1][w+1]-1;
return 0;
}
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