Problem:
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

Solution in JavaScript (node.js v5.12) (judge verdict: Runtime Error)

function Main(input) {
  var tmp = input.split(' ')
  var L = tmp[0]
  var R = tmp[1]

  var result = 2019
  var temp = 0

  for (var i = 0; i < R - L; i++) {
    for (var j = 1; j < R - L - i + 2; j++) {
      let num1 = parseInt(L) + i
      let num2 = parseInt(L) + i + j
      temp = num1 * num2
      if (temp % 2019 < result) {
        result = temp % 2019
      }
    }
  }

  console.log('%d', result)
}

Main(require('fs').readFileSync('/dev/stdin', 'utf8'))