#1473 Repeatless Numbers

35  1 s   64 MB  

Description

A repeatless number is a positive integer containing no repeated digits. For instance, the first 25 repeatless numbers are

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, …

Given an integer n, your goal is to compute the nth repeatless number.

Input

The input test file will contain multiple test cases, each consisting of a single line containing the integer n, where 1 ≤ n ≤ 1000000. The end-of-file is marked by a test case with n = 0 and should not be processed.

Output

For each input case, the program should print the nth repeatless number on a single line.

Sample Input

Sample Output

25
10000
0
27
26057

Source

Stanford Local 2004