You are given a number. Your task is to check if there exists a permutation of the digits of this number which is divisible by 4.

**Input: **

The first line of input contains a single integer **T** denoting the number of test cases. Then **T** test cases follow. Each test case consists of one line. The line consists of a non negative integer **N**. This integer may have leading zeros.

**Output:**

Corresponding to each test case, in a new line, print 1 if such a permutation of this number exists or print 0 if such a permutation doesn't exist.

**Constraints:**

1 ≤ T ≤ 100

0 ≤ N ≤ 10^{200 }

**Example:**

**Input**

3

003

715

123456

**Output**

1

0

1

**Explanation:**

For 003, we have a permutation 300 which is divisible by 4.

For 123456, we have 123564 which is a permutation of 123456 and is divisible by 4.

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