Different Digits

Time Limit: 10000/4000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)


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.


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.


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




2004 Asia Regional Shanghai