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::collections::HashMap;
use std::mem;
use std::cmp;

fn read_line() -> String{
    let mut s = String::new();
    io::stdin().read_line(&mut s).unwrap();
    s
}

fn read_ints() -> Vec<i64>{
    let s = read_line();
    let split:Vec<&str> = s.trim().split(" ").collect();
    split.iter().map(|&x| x.to_string().parse().unwrap()).collect()
}

fn main(){
    let temp = read_ints();
    let n = temp[0];
    let a = temp[1];
    let b = temp[2];
    
    let atotal = a * n;
    let btotal = b;
    
    println!("{}",cmp::min(atotal,btotal));
}







/*
DOCS


let mut h = HashMap::new();
let a = 5;
h.insert(a,true);
match h.get(&a){
    Some(v) => println!("{}",v),
    None    => println!("none"),
}


use std::mem;

let mut x = 5;
let mut y = 1;
mem::swap(&mut x,&mut y);


let v = vec![0;2]; // [0,0]







*/