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Contest: Task: Related: TaskB

Score : $100$ points

Problem Statement

$N$ 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.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us $4 \times 2 = 8$ yen, and the taxi will cost us $9$ yen, so the minimum total travel expense is $8$ yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8