Problem10719--ABC133 - A - T or T

10719: ABC133 - A - T or T

[Creator : ]
Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

$N$ 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?

Input

Input is given from Standard Input in the following format:

```
$N$ $A$ $B$
```

Output

Print an integer representing the minimum total travel expense.

Constraints

-   All values in input are integers.
-   $1 \leq N \leq 20$
-   $1 \leq A \leq 50$
-   $1 \leq B \leq 50$

Sample 1 Input

4 2 9

Sample 1 Output

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 2 Input

4 2 7

Sample 2 Output

7

Sample 3 Input

4 2 8

Sample 3 Output

8

Source/Category