#6455. Cave Painting
Cave Painting
No submission language available for this problem.
Description
Imp is watching a documentary about cave painting.

Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i from 1 to k. Unfortunately, there are too many integers to analyze for Imp.
Imp wants you to check whether all these remainders are distinct. Formally, he wants to check, if all , 1 ≤ i ≤ k, are distinct, i. e. there is no such pair (i, j) that:
- 1 ≤ i < j ≤ k,
-
, where
is the remainder of division x by y.
The only line contains two integers n, k (1 ≤ n, k ≤ 1018).
Print "Yes", if all the remainders are distinct, and "No" otherwise.
You can print each letter in arbitrary case (lower or upper).
Input
The only line contains two integers n, k (1 ≤ n, k ≤ 1018).
Output
Print "Yes", if all the remainders are distinct, and "No" otherwise.
You can print each letter in arbitrary case (lower or upper).
Samples
Note
In the first sample remainders modulo 1 and 4 coincide.