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Problem 1312 Different Digits

Accept: 56    Submit: 174
Time Limit: 1000 mSec    Memory Limit : 32768 KB

Problem Description

Given a positive integer n, your task is to find a positive integer m, which is a multiple of n, and that m contains the least number of different digits when represented in decimal. For example, number 1334 contains three different digits 1, 3 and 4.

Input

The input consists of no more than 50 test cases. Each test case has only one line, which contains a positive integer n ( 1<=n < 65536). There are no blank lines between cases. A line with a single `0' terminates the input.

Output

For each test case, you should output one line, which contains m. If there are several possible results, you should output the smallest one. Do not output blank lines between cases.

Sample Input

7 15 16 101 0

Sample Output

7 555 16 1111

Source

2004 ACM/ICPC Shanghai

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