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 INIT ios_base :: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define count_bits __builtin_popcount
#define int ll
int t, n, m, k, a[300010], q, l, r;
int dp[3010][3010];
int mod=((int)1e9)+7;
int32_t main(){
INIT
cin>>n>>m;
dp[0][0]=1;
for(int i=1; i<=n; i++){
for(int j=1; j<=m; j++){
if(j>=2){
dp[i][j]=(dp[i][j]+((max(dp[i-1][j-2], 1ll)*(j*(j-1)/2))%mod)%mod)%mod;
}
dp[i][j]=(dp[i][j]+(max(dp[i-1][j-1], 1ll)*4*(j))%mod)%mod;
if(i>=2){
dp[i][j]=(dp[i][j]+(max(dp[i-2][j-1], 1ll)*(j)*(i-1) )%mod)%mod;
}
dp[i][j]=(dp[i][j]+max(dp[i-1][j], 1ll) ) %mod;
//cout<<dp[i][j]<<" ";
}
//cout<<"\n";
}
cout<<(dp[n][m]-1);
return 0;
}
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