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ZOJ Problem Set - 3336
Friend Number II

Time Limit: 1 Second      Memory Limit: 32768 KB

Given a positive integer x, let S(x) denotes the sum of all x's digits. Two integers x and y are friend numbers if S(x)=S(y). Here comes the problem: Given a positive integer x, of course it has a lot of friend numbers, find the smallest one which is greater than x,please.

Input

There are multiple test cases. The first line of input is an integer T (0<T<230) indicating the number of test cases. Then T test cases follow. Each case is an integer x (0<x<=101000).

Output

For each test case, output the result integer in a single line.

Sample Input

3
12
19
222

Sample Output

21
28
231

Note: No input data start with digit 0 and you should not output a number starts with 0.


Author: CAO, Peng
Source: ZOJ Monthly, May 2010
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