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
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()
const ll mod=1e9+7;
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll h,w;
cin>>h>>w;
ll dp[h+1][w+1];
for(ll i=0;i<=h;i++){
for(ll j=0;j<=w;j++){
if(i==0||j==0){
dp[i][j]=1;
continue;
}
dp[i][j]=(dp[i][j-1]+dp[i-1][j-1]*4*i)%mod;
if(i>=2){
dp[i][j]+=dp[i-2][j-1]*i*(i-1)/2;
dp[i][j]%=mod;
}
if(j>=2){
dp[i][j]+=dp[i-1][j-2]*i*(j-1);
dp[i][j]%=mod;
}
}
}
cout<<(dp[h][w]-1+mod)%mod;
}
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