CF922C.Cave Painting

普及/提高-

通过率:0%

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题目描述

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 nn by all integers ii from 11 to kk . 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<=k1<=i<=k , are distinct, i. e. there is no such pair (i,j)(i,j) that:

  • 1i<jk1 \leq i < j \leq k ,
  • , where is the remainder of division xx by yy .

输入格式

The only line contains two integers nn , kk (1<=n,k<=1018)(1<=n,k<=10^{18}) .

输出格式

Print "Yes", if all the remainders are distinct, and "No" otherwise.

You can print each letter in arbitrary case (lower or upper).

输入输出样例

  • 输入#1

    4 4
    

    输出#1

    No
    
  • 输入#2

    5 3
    

    输出#2

    Yes
    

说明/提示

In the first sample remainders modulo 11 and 44 coincide.

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