Oh no, Butch still needs to finish his AR book! (Yes, upperclassmen, laugh at him.) He procrastinated so much, in fact, that he's not sure if he'll finish in time for the end of the day. He'd calculate it himself, but if he can, he'll probably need every minute he can get. Assuming Butch reads P (0 ≤ P ≤ 100) pages per minute, has L (0 ≤ L ≤ 1000) pages left, and has M (0 ≤ M ≤ 30) minutes to finish, please help us to determine if Butch can finish.

Input

Line 1: 3 space-separated integers, P, L, and M.

Output

Line 1: 'yes' if he can finish, or 'no' if he can't.

Example

Input:
2 30 10

Output:
no