Repeatless Numbers

Time Limit: 1000ms
Memory Limit: 65536KB
This problem will be judged on PKU. Original ID: 2956
64-bit integer IO format: %lld      Java class name: Main

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

25
10000
0

Sample Output

27
26057

Source

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