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)

fn main() {
    let mut reader = scanner::TokenReader::new();
    let d: usize = reader.next();
    let t: usize = reader.next();
    let s: usize = reader.next();

    let dist = s*t;
    println!("{}", if dist >= d { "YES" } else { "NO" });
}

// ---------- Begin Scanner ----------
#[allow(dead_code)]
mod scanner {
    use std::fmt::Debug;
    use std::str::FromStr;

    pub struct TokenReader {
        reader: std::io::Stdin,
        tokens: Vec<String>,
        index: usize,
    }

    impl TokenReader {
        pub fn new() -> Self {
            Self {
                reader: std::io::stdin(),
                tokens: Vec::new(),
                index: 0,
            }
        }

        pub fn next<T>(&mut self) -> T
        where
            T: FromStr,
            T::Err: Debug,
        {
            if self.index >= self.tokens.len() {
                self.load_next_line();
            }
            self.index += 1;
            self.tokens[self.index - 1].parse().unwrap()
        }

        pub fn vector<T>(&mut self) -> Vec<T>
        where
            T: FromStr,
            T::Err: Debug,
        {
            if self.index >= self.tokens.len() {
                self.load_next_line();
            }
            self.index = self.tokens.len();
            self.tokens.iter().map(|tok| tok.parse().unwrap()).collect()
        }

        pub fn load_next_line(&mut self) {
            let mut line = String::new();
            self.reader.read_line(&mut line).unwrap();

            self.tokens = line.split_whitespace().map(String::from).collect();
            self.index = 0;
        }
    }
}
// ---------- End Scanner ----------