Problem:
Score : 100 points

Problem Statement

You are parking at a parking lot. You can choose from the following two fee plans:

Plan 1: The fee will be A×T yen (the currency of Japan) when you park for T hours.

Plan 2: The fee will be B yen, regardless of the duration.

Find the minimum fee when you park for N hours.

Constraints

1≤N≤20

1≤A≤100

1≤B≤2000

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

When the minimum fee is x yen, print the value of x.

Sample Input 1

7 17 120

Sample Output 1

119

If you choose Plan 1, the fee will be 7×17=119 yen.

If you choose Plan 2, the fee will be 120 yen.

Thus, the minimum fee is 119 yen.

Sample Input 2

5 20 100

Sample Output 2

100

The fee might be the same in the two plans.

Sample Input 3

6 18 100

Sample Output 3

100

Solution in JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

"use strict";
// inputに入力データ全体が入る
const main = (input) => {
  const [n, a, b] = input.trim().split(" ").map(Number);
  return n * a < b ? n * a : b;
};

// ※この行以降は編集しない (標準入力から一度に読み込みMainを呼び出します)
console.log(main(require("fs").readFileSync("/dev/stdin", "utf8")));