题目描述
N of us are going on a trip, by train or taxi.
The train will cost each of us A yen (the currency of Japan).
The taxi will cost us a total of B yen.
How much is our minimum total travel expense?
Constraints
- All values in input are integers.
- $1 \leq N \leq 20$
- $1 \leq A \leq 50$
- $1 \leq B \leq 50$
Input
Input is given from Standard Input in the following format:
N A B
Output
Print an integer representing the minimum total travel expense.
Examples
Input
4 2 9
Output
8
Input
4 2 7
Output
7
Input
4 2 8
Output
8
输入格式
见题面
输出格式
见题面
样例输入
4 2 7
样例输出
7