You are given an integer N. Is there a permutation of digits of integer that's divisible by 8? A permutation of digits of integer N is defined as an integer formed by rearranging the digits of N. For example, if the number N = 123, then {123, 132, 213, 231, 312, 321} are the possible permutations.

Input Format

The first line contains an integer T i.e. number of test cases.

T lines follow, each containing the integer N.

Output Format

For each test case print YES if there exists one such re-arrangement of N such that it is divisible by 8 or NO if there isn't.

Constraints

1 <= T <= 45

0 <= N <= 10^{110}

Note

Re-arrangements of 10 are {10, 01} which boils down to {10, 1}.

Sample Input

2
61
75

Sample Output

YES
NO

Explanation

Test case #00: 16 is permutation of 61 which is divisible by 8.

Test case #01: None of permutation of 75, {57, 75}, are divisible by 8.

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