Don't be late

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.

Examples

Input

1000 15 80

Output

Yes

Input

2000 20 100

Output

Yes

Input

10000 1 1

Output

No

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

D T S

outputFormat

Output

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

Examples

Input

1000 15 80

Output

Yes

Input

2000 20 100

Output

Yes

Input

10000 1 1

Output

No

样例

2000 20 100

Yes