Problem C. Unique Number

时间限制 1 ms   内存限制 256 MB

You are given a positive number $$$x$$$. Find the smallest positive integer number that has the sum of digits equal to $$$x$$$ and all digits are distinct (unique).

输入数据

The first line contains a single positive integer $$$t$$$ ($$$1 \le t \le 50$$$) — the number of test cases in the test. Then $$$t$$$ test cases follow.

Each test case consists of a single integer number $$$x$$$ ($$$1 \le x \le 50$$$).

输出数据

Output $$$t$$$ answers to the test cases:

  • if a positive integer number with the sum of digits equal to $$$x$$$ and all digits are different exists, print the smallest such number;
  • otherwise print -1.

样例

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