This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
#include "bits/stdc++.h"
using namespace std;
#define pb push_back
#define F first
#define S second
#define f(i,a,b) for(int i = a; i < b; i++)
//#define endl '\n'
using ll = long long;
using db = long double;
using row = vector<int>;
using ii = pair<int, int>;
const int N = 1e5 + 5, M = 1e6 + 5, A = 6561, LG = 18, MOD = 1e9 + 7;
const int BLOCK = 1900;
const int BLOCKN = N / BLOCK + 1;
const long double EPS = 1e-7;
int dp[3005][3005];
int n, m;
int solve(int col, int emptyRows){
if(col == 0)return 1;
int &ret = dp[col][emptyRows];
if(~ret)
return ret;
///put nothing
ret = solve(col-1,emptyRows);
///put two S and N have to be emptyRows
if(emptyRows>=2)
ret = (ret + solve(col-1,emptyRows-2) * 1ll * emptyRows * (emptyRows-1)/2) % MOD;
if(emptyRows)
ret = (ret + solve(col-1,emptyRows-1) * 4ll * emptyRows)%MOD;
///put a E and W combo
if(emptyRows&&col>=2)
ret = (ret + solve(col-2,emptyRows-1)*1ll*emptyRows*(col-1))%MOD;
return ret;
}
int main(){
#ifdef ONLINE_JUDGE
ios_base::sync_with_stdio(0);
cin.tie(0);
#endif // ONLINE_JUDGE
cin>>n>>m;
memset(dp,-1,sizeof dp);
cout<<solve(m,n)-1<<'\n';
return 0;
}
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