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.
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.
For each test case, output a 1 if string is multiple of 3, else 0.
1<=Length of Input String<=100