#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];
int ff[N*2+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);
ff[0]=1;
for(int i=2;i<=N*2;i+=2) ff[i]=mul(ff[i-2],i-1);
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 ans2(int a,int b){
int ans=0;
for(int i=0;i<=N && i*2<=a;++i){
for(int j=0;j<=N && j*2<=b;++j){
if (i*2+j>a||j*2+i>b) continue;
int addmore=1;
addmore=mul(addmore,C(i*2+j,a));
addmore=mul(addmore,C(j*2+i,b));
addmore=mul(addmore,C(j,i*2+j));
addmore=mul(addmore,C(i,j*2+i));
addmore=mul(addmore,fac[i]) , addmore=mul(addmore,fac[j]);
addmore=mul(addmore,ff[2*i]) , addmore=mul(addmore,ff[2*j]);
ans=add(ans,addmore);
}
}
return ans;
}
int calc(int a,int b){
int ans=0;
for(int i=0;i<=min(a,b);++i){
int addmore=power(4,i);
addmore=mul(addmore,C(i,a));
addmore=mul(addmore,C(i,b));
addmore=mul(addmore,ans2(a-i,b-i));
addmore=mul(addmore,fac[i]);
ans=add(ans,addmore);
}
return ans;
}
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();
cout<<sub(calc(numrow,numcol),1);
return 0;
}
Compilation message (stderr)
tents.cpp: In function 'int main()':
tents.cpp:79:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
79 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
tents.cpp:80:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
80 | freopen(task".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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