Fito is travelling with a group of N friends (including Fito). Each person can travel by train or taxi. The train will cost each person
Input
The input contains only one line with the three integers N , A and B .
Output
Print an integer representing the minimum total travel expense.
Sample test(s)
Input
4 2 9
Output
8
Input
4 2 7
Output
7
Input
4 2 8
Output
8