Rumor has it that shadows rise in a prime leap year. A prime leap year is a leap year, and the year number is also a prime number.
Toilet-Ares has recently learned the definitions of leap year and prime number. Given a specific year number, he wants to know if it is a prime leap year.
Recall that
Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by

, but these centurial years are leap years if they are exactly divisible by

;
A prime number (or a prime) is a positive integer greater than one that is not a product of two smaller positive integers.
输入描述:
The first line contains only one integer
(
), denoting the number of test cases.
Each case consists of only an integer
(
) in one line, representing the number of the year Toilet-Ares wants to know about.
输出描述:
For each case, if the year is a prime leap year, print "yes" in one line, otherwise print "no" in one line.