Time Limit : 5 Second
Memory Limit : 512 MB
Submission: 30
Solved: 3
Description

Mathematics knowledge is vital in Artificial Intelligence Area, Minieye wants to employ those who are good at Mathematics such as ACMers. Here is a problem related to mathematics Given 2n digits from 1 to 9, your task is to compose two integers A, B of length n, to minimize the value of |A+B-10n|. In this situation, leading zeros is legal.

Input

There are several cases, first is the number of cases T. (T = 100000).


For each case, there is only one line contains a string of 2n digits.(n<=18)

Output

For each case, output the minimum value in a line.

sample input
3
9820
192747
000001
sample output
0
7
900
hint
<p>Explanation for the samples:</p> <p>|98 + 02 - 100| = 0</p> <p>|274 + 719 - 1000| = 7</p> <p>|100 + 000 - 1000| = 900</p> <p> </p>
source
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