#include<bits/stdc++.h>
using namespace std;

int main(){
	long long int k, a, b;
	cin >> k >> a >> b;
	if(b - a < 2){
		cout << k + 1 << "\n";
	}
	else{
		if(k < a - 1)
			cout << k + 1 << "\n";
		else{
			k -=  a - 1;
			cout << a + (b - a) * (k / 2) + (k % 2);
		}
	}
}