Contest Duration: - (local time) (100 minutes) Back to Home
A - T or T /

Time Limit: 2 sec / Memory Limit: 1024 MB

問題文

タクシーを使うと N 人で B 円かかります。

制約

• 入力は全て整数である。
• 1 \leq N \leq 20
• 1 \leq A \leq 50
• 1 \leq B \leq 50

入力

N A B


入力例 1

4 2 9


出力例 1

8


入力例 2

4 2 7


出力例 2

7


入力例 3

4 2 8


出力例 3

8


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