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 Rust (1.15.1) (judge verdict: Accepted)

use std::io::*;
use std::str::FromStr;

fn main() {
    let stdin = stdin();
    let mut stdinlock = stdin.lock();
    let mut str1 = String::new();
    stdinlock.read_line(&mut str1).unwrap();
    let mut it1 = str1.trim().split_whitespace().map(|x| u32::from_str(x).unwrap());
    let n = it1.next().unwrap();
    let a = it1.next().unwrap();
    let b = it1.next().unwrap();
    if n * a <= b {
        println!("{}", n * a);
    } else {
        println!("{}", b);
    }
}