Don't be late

Source: AtCoder

Problem Statement

The meeting place is $D$ meters away. There are $T$ minutes left and the travel speed is $S$ meters per minute. Determine whether arrival is on time or earlier.

Input

One line contains $D$, $T$, and $S$.

Output

Print Yes if $D\le T imes S$; otherwise print No.

Subtasks

• Subtask 1 (100%): $1 \le D,T,S \le 10000$

Examples

Example 1

Input

1000 15 80

Output

Yes

Explanation

For the sample values 1000, 15, 80, evaluating the conditions in the statement gives Yes. Therefore the program prints the shown output.

Example 2

Input

2000 20 100

Output

Yes

Explanation

For the sample values 2000, 20, 100, evaluating the conditions in the statement gives Yes. Therefore the program prints the shown output.

Example 3

Input

10000 1 1

Output

No

Explanation

For the sample values 10000, 1, 1, evaluating the conditions in the statement gives No. Therefore the program prints the shown output.