Alp and Gaut are like always opposite to each other. Once Alp told that he can identify a number which is divisible by 252 (He knows because that is his girlfriends birthday - 25/2). Now to come up against Alp, Gaut said he can identify whether the number is divisible by 525 (poor Gaut don't have a girl friend though). The truth is they don't know to do it for big numbers. So you are here to help them with a method. Given a number you have to tell whether the number is divisible by 252 and 525.

Input

Number of testcases in first line, T (T <= 100).

Each line contains one number N, whose divisibility is to be tested (1 <= N <= 10⁵⁰⁰⁰⁰).

Output

Each line containing two Yes/No. one for 252 and one for 525.

Example

Input:
4
252
525
16884
21347

Output:
Yes No
No Yes
Yes No
No No