P408190 - GYM103048 K K-Primes - SSOJ - 省实信息奥赛评测系统

Memory Limit：512 MB Time Limit：1 S

Judge Style：Text Compare Creator：

Submit：0 Solved：0

K. K-Primestime limit per test1 secondmemory limit per test512 megabytesinputstandard inputoutputstandard output

Given $$$l$$$ and $$$k$$$, Cuber QQ wants you to answer if there are more than $$$k$$$ primes (i.e., at least $$$k+1$$$ primes) in $$$[l,l+2k)$$$.

Input

One line with two space-separated integers $$$l,k\;(1\le l,k\le 10^8)$$$.

Output

One line with "Yes" or "No".

ExamplesInput

3 3

Output

No

Input

2 1

Output

Yes

408190: GYM103048 K K-Primes