Problem:
Score : 100 points

Problem Statement

Takahashi is meeting up with Aoki.

They have planned to meet at a place that is D meters away from Takahashi's house in T minutes from now.

Takahashi will leave his house now and go straight to the place at a speed of S meters per minute.

Will he arrive in time?

Constraints

1 \leq D \leq 10000

1 \leq T \leq 10000

1 \leq S \leq 10000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

D T S

Output

If Takahashi will reach the place in time, print Yes; otherwise, print No.

Sample Input 1

1000 15 80

Sample Output 1

Yes

It takes 12.5 minutes to go 1000 meters to the place at a speed of 80 meters per minute. They have planned to meet in 15 minutes so he will arrive in time.

Sample Input 2

2000 20 100

Sample Output 2

Yes

It takes 20 minutes to go 2000 meters to the place at a speed of 100 meters per minute. They have planned to meet in 20 minutes so he will arrive just on time.

Sample Input 3

10000 1 1

Sample Output 3

No

He will be late.

Solution in Rust (1.42.0) (judge verdict: Wrong Answer)

use std::*;

#[allow(dead_code)]
fn read<T: str::FromStr>() -> T {
    let mut _in = String::new();
    io::stdin().read_line(&mut _in).ok();
    _in.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn read_vec<T: str::FromStr>() -> Vec<T> {
    read::<String>().split(' ').map(|w| w.parse().ok().unwrap()).collect()
}

fn main() {
    let v= read_vec::<i32>();
    let (a, b, c) = (v[0], v[1], v[2]);
    if b * c >= a {
        println!("YES");
    }
    else {
        println!("NO");
    }
}