Question
Minimum Copy Time
One busy morning at a publishing house, Priya needs to print n extra copies of an important document for an upcoming event. There are two printers available - one takes x seconds per copy, and the other takes y seconds. Both printers can work simultaneously, and they can print from either the original document or any copied version. Help Priya determine the minimum time required to produce all the copies before the event begins.
Input
The first line of the input contains three space-separated integers n, x, and y.
Constraints
1 ≤ n ≤ 2*108
1 ≤ x, y ≤ 10
Constraints
1 ≤ n ≤ 2*108
1 ≤ x, y ≤ 10
Output
Print one integer, the minimum time in seconds required to get n copies.
Example
Sample Input
4 1 1
Sample Output
3
Sample Input
5 1 2
Sample Output
4
4 1 1
Sample Output
3
Sample Input
5 1 2
Sample Output
4