Home

Contest: Task: Related: TaskB

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.