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

int main(){	
  ll K,A,B,n=1;
  cin>>K>>A>>B;
  while(K){
    if(n>=A&&K>1&&B-A>2){K-=2;n+=B-A;}
    else{K--;n++;}
  }
  cout<<n<<endl;
}
