You are with your favorite math professor, explaining how hard it is to do multiplication in your head. Luckily, you are smart enough to write a program to automate this for you.

Your task is simple, write a program that verifies if the multiplication of two given numbers \(A * B\) is larger or equal to \(C\).

Input Specification

First and only line contains 3 integers \(0 \leq A, B, C \leq 10^{18}\).

Output Specification

Print \(Yes\) if the multiplication of \(A\) and \(B\) is larger or equal to \(C\) and \(No\) otherwise.

Sample Input

10 10 100

Sample Output

Yes

Sample Input

6 7 43

Sample Output

No