#000150

110100100010000...

Let's consider an infinite sequence of digits constructed of ascending powers of 10 written one after another. Here is the beginning of the sequence: 110100100010000… You are to find out what digit is located at the definite position of the sequence.


InputThere is the only positive integer number N in the first line, N < 65536. The i-th of N left lines contains the positive integer Ki — the number of position in the sequence. It's given that Ki < 2^31.

OutputYou are to output N digits 0 or 1 separated with a space. More precisely, the i-th digit of output is to be equal to the Ki -th digit of described above sequence.

Input:
4
3
14
7
6

Output:
0 0 1 0

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