#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
const int MOD=(int)1e9+7;
int add(int a,int b){
return a+b>=MOD?a+b-MOD:a+b;
}
int sub(int a,int b){
return a-b<0?a-b+MOD:a-b;
}
int mul(int a,int b){
return (LL)a*b%MOD;
}
int power(int a,int b){
int res=1;
for(;b;b>>=1,a=mul(a,a)){
if (b&1) res=mul(res,a);
}
return res;
}
const int N=(int)3000;
int fac[N+2] , inv[N+2];
void build(){
fac[0]=1;
for(int i=1;i<=N;++i) fac[i]=mul(fac[i-1],i);
inv[N]=power(fac[N],MOD-2);
for(int i=N;i>=1;--i) inv[i-1]=mul(inv[i],i);
return;
}
int C(int x,int y){
if (x>y) return 0;
return (LL)fac[y]*inv[y-x]%MOD*inv[x]%MOD;
}
int numrow,numcol;
int f[N+2][N+2];
int main(){
ios::sync_with_stdio(false);
cin.tie(0) ; cout.tie(0);
#define task "main"
if (fopen(task".inp","r")){
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
cin>>numrow>>numcol;
build();
for(int i=0;i<=max(numrow,numcol);++i) f[i][0]=f[0][i]=1;
for(int i=1;i<=numrow;++i){
for(int j=1;j<=numcol;++j){
f[i][j]=mul(f[i-1][j-1],mul(4,i));
f[i][j]=add(f[i][j],f[i][j-1]);
if (i>=2){
f[i][j]=add(f[i][j],mul(C(2,i),f[i-2][j-1]));
}
if (j>=2){
f[i][j]=add(f[i][j],mul(mul(i,j-1),f[i-1][j-2]));
}
}
}
cout<<sub(f[numrow][numcol],1);
return 0;
}
Compilation message (stderr)
tents.cpp: In function 'int main()':
tents.cpp:47:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
47 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
tents.cpp:48:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
48 | freopen(task".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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