Leap Year

A leap year is a year that has 366 days.

A year is a leap year if it is divisible by 4, except for years that are exactly divisible by 100. However, years divisible by 100 are still leap years if they are also exactly divisible by 400.

Given a year n, determine whether it is a leap year.

Input

The input contains a single integer n:

0 <= n <= 10^9

Output

Output YES if n is a leap year. Otherwise, output NO.

Example

Input

2016

Output

YES