#include<bits/stdc++.h>
using namespace std;
long long k,a,b,ans;

int main(){
	cin>>k>>a>>b;
	if(b-a<=2) ans=k+1;
	else{
		if(k<a+1) ans=k+1;
		else if(k==a+1) ans=b;
		else{
			k-=a+1;
			ans=b+(k/2)*(b-a)+k%2;
		}
	}
	cout<<ans<<endl;
	
	return 0;
}