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>
#define ll long long
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
#define sz(a) ((ll)(a).size())
using namespace std;
const ll maxn=3005, Mod=1e9+7;
ll dp[maxn][maxn];
void upd(ll &a, ll b) {a+=b; if (a>=Mod) a-=Mod;}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
ll n, m; cin >> n >> m;
for (ll i=0; i<=n; i++) dp[i][0]=1;
for (ll i=0; i<=m; i++) dp[0][i]=1;
for (ll i=1; i<=n; i++)
for (ll j=1; j<=m; j++)
{
upd(dp[i][j], dp[i-1][j]);
upd(dp[i][j], dp[i-1][j-1]*j*4%Mod);
if (j>=2) upd(dp[i][j], dp[i-1][j-2]*(j*(j-1)/2)%Mod);
if (i>=2) upd(dp[i][j], dp[i-2][j-1]*j*(i-1)%Mod);
}
cout << (dp[n][m]+Mod-1)%Mod;
}
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