CF1714C Minimum Varied Number

Description

Find the minimum number with the given sum of digits $ s $ such that all digits in it are distinct (i.e. all digits are unique). For example, if $ s=20 $ , then the answer is $ 389 $ . This is the minimum number in which all digits are different and the sum of the digits is $ 20 $ ( $ 3+8+9=20 $ ). For the given $ s $ print the required number.

Input Format

The first line contains an integer $ t $ ( $ 1 \le t \le 45 $ ) — the number of test cases. Each test case is specified by a line that contains the only integer $ s $ ( $ 1 \le s \le 45 $ ).

Output Format

Print $ t $ integers — the answers to the given test cases.