DBLPRM - Double Primes

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You're given a number N. You have to say, is that number sum of two prime numbers or not.

Input

Single number N (1<=N<=10^15)

Output

Single word - "YES" or "NO".

Example

Input:
14

Output:
YES


Added by:albertg
Date:2014-01-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own problem