This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
///
/// You fell for it, fool!
/// Thunder Cross Split Attack!
///
#include <bits/stdc++.h>
#define Loop(x,l,r) for(ll x = ll(l); x < ll(r); ++x)
typedef long long ll;
using namespace std;
const int mod = 1e9+7;
const int N = 3010;
ll dp[N][N];
int n, m;
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin >> n >> m;
Loop(i,0,N) dp[0][i] = dp[i][0] = 1;
Loop(x,1,N) Loop(y,1,N)
{
dp[x][y] = dp[x-1][y];
dp[x][y] += 4*y*dp[x-1][y-1] % mod;
if(y>1) dp[x][y] += y*(y-1)/2*dp[x-1][y-2] % mod;
if(x>1) dp[x][y] += y*(x-1)*dp[x-2][y-1] % mod;
dp[x][y] %= mod;
}
cout << (dp[n][m]+mod-1)%mod << '\n';
}
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