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Problems

Exactly one condition out of two

Exactly one condition out of two

For the given integer n print YES, if exactly one of the following conditions is true and NO otherwise.

  • number n is even;

  • number n is negative and divisible by 3.

Input

One integer n.

Output

Print YES or NO depending on conditions.

Time limit 1 second
Memory limit 128 MiB
Input example #1
22
Output example #1
YES
Input example #2
7
Output example #2
NO
Author Matviychuk Sergiy Volodymyrovych
Source "ABC programming"