For this Question: Given a group of A + B people, with A Indians and B Americans. Find number of ways to select a non-empty subset of these people, such that the subset has equal number of Indian and American people.Input contains two space separated integers A and B.

Constraints: 
1 <= A, B <= 1000000Print the number of ways modulo 1000000007.Sample Input 
2 2

Sample Output
5

Explanation: (I1, A1) (I2, A1) (I1, A2) (I2, A2) (I1, I2, A1, A2)
I denotes indian person. A denotes american person., I have written this Solution Code: #pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define VV vector
#define pb push_back
#define bitc  __builtin_popcountll
#define m_p make_pair
#define infi 1e18+1
#define eps 0.000000000001
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);
string char_to_str(char c){string tem(1,c);return tem;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<class T>//usage rand<long long>()
T rand() {
    return uniform_int_distribution<T>()(rng);
}
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<class T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// string to integer stoi()
// string to long long stoll()
// string.substr(position,length);
// integer to string to_string();
 
//////////////
auto clk=clock();
#define all(x) x.begin(),x.end()
#define S second
#define F first
#define sz(x) ((long long)x.size())
#define int long long  
#define f80 __float128
#define pii pair<int,int>
/////////////
long long powerm(long long x, unsigned long long y, long long p) 
{ 
    long long res = 1;
    x = x % p;
    while (y > 0) 
    { 
        if (y & 1) 
            res = (res*x) % p; 
        y = y>>1;
        x = (x*x) % p;   
    } 
    return res; 
} 

int mo=1000000007;
int fa[1000001]={};
int ifa[1000001]={};
int ncr(int n,int r){
	return (fa[n]*ifa[r]%mo)*ifa[n-r]%mo;
}
signed main()
{
	fastio;
	#ifdef ANIKET_GOYAL
		freopen("inputf.in","r",stdin);
		freopen("outputf.in","w",stdout);
	#endif
	int a,b;
	cin>>a>>b;
	int n=min(a,b);
	fa[0]=1;
	ifa[0]=1;
	for(int i=1;i<=1000000;++i){
		fa[i]=(fa[i-1]*i)%mo;
		ifa[i]=powerm(fa[i],mo-2,mo);
	}
	int ans=0;
	for(int i=1;i<=n;++i){
		ans=(ans+(ncr(a,i)*ncr(b,i))%mo)%mo;
	}
	cout<<ans;
	#ifdef ANIKET_GOYAL
		// cout<<endl<<endl<<endl<<endl<<"Time elapsed: "<<(double)(clock()-clk)/CLOCKS_PER_SEC<<endl;
	#endif
}, In this Programming Language: C++, Now tell me if this Code is compilable or not?