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 Kotlin (1.0.0) (judge verdict: Runtime Error)

import java.io.InputStream
import java.lang.Math.pow

fun main(args: Array<String>) {
    problem(System.`in`)
}

fun problem(inputStream: InputStream) {
    val readText = inputStream.reader().readText()
    val data: List<List<Int>> = readText.lines().map { it.split(" ").map { it.toInt() } }
    var count = 0
    for (point1Index in 0 until data.size) {
        for (point2Index in (point1Index + 1) until data.size) {
            val point1 = data[point1Index]
            val point2 = data[point2Index]
            val sums = point2.mapIndexed { index, value ->
                pow(value.toDouble() - point1[index], 2.0)
            }.sum()
            val distance = Math.sqrt(
                sums
            )
            if ((distance == Math.floor(distance)) && !distance.isInfinite()) {
                println(point1)
                println(point2)
                println(distance)
                count++
            }
        }
    }
    println(count)
}