Given a binary number, write a program that prints 1 if given binary number is a multiple of 3.  Else prints 0. The given number can be big upto 2^100. It is recommended to finish the task using one traversal of input binary string.

Input:
The first line contains T denoting the number of testcases. Then follows description of testcases. 
Each case contains a string containing 0's and 1's.

Output:
For each test case, output a 1 if string is multiple of 3, else 0.

Constraints:
1<=T<=100
1<=Length of Input String<=100

Example:
Input:
2
011
100

Output:
1
0

** For More Input/Output Examples Use 'Expected Output' option **