#include <cstdio>
#include <cstdlib>
#define ll long long
using namespace std;
int main() {
	ll a, b, k;
	scanf("%lld%lld%lld", &k, &a, &b);
	if (a + 2 >= b || k <= a + 1) {
		printf("%lld\n", k + 1ll);
		return 0;
	}
	ll ans = 0;
	ll d = b - a;
	k -= (a + 1);
	ans += b;
	int t = k / 2;
	ans += t * d + k % 2;
	printf("%lld\n", ans);
	return 0;
}