Is it divisible by 2, 4 and 8?

Nonnegative integer is given. Is it divisible by 2, by 4 and by 8.

Input

One nonnegative integer, that contains no more than 100 digits.

Output

Print in the first line Yes if the number is divisible by 2, otherwise print No.

Print in the second line Yes if the number is divisible by 4, otherwise print No.

Print in the third line Yes if the number is divisible by 8, otherwise print No.

Examples