Leap Year Determination

Given a sequence of years ending with the integer 0, determine for each year (except the terminating 0) whether it is a leap year.

A year is a leap year if and only if \( (year \mod 4 = 0 \wedge year \mod 100 \neq 0) \vee (year \mod 400 = 0) \). Print "Yes" if the year is a leap year, and "No" otherwise.

inputFormat

Input is provided via STDIN. A single line contains a sequence of integers separated by spaces. The sequence is terminated by the integer 0, which should not be processed.

outputFormat

For each year (except the terminating 0), output the result on a new line. Each result will be either "Yes" or "No".## sample

2000 1996 1900 2001 0

Yes
Yes
No
No