# Magic Multiple

Time Limit: 1 Second Memory Limit: 32768 KB

The Elvish races of Middle Earth believed that certain numbers were more significant than others. When using a particular quantity n of metal to forge a particular sword, they believed that sword would be most powerful if the thickness k were chosen according to the following rule:

Given a nonnegative integer n, what is the smallest k such that the decimal representations of the integers in the sequence:

n, 2n, 3n, 4n, 5n, ... , kn

contain all ten digits (0 through 9) at least once?

Lord Elrond of Rivendell has commissioned you with the task to develop an algorithm to find the optimal thickness (k) for any given quantity of metal (n).

## Input

Input will consist of a single integer n per line. The end of input will be signaled by end of file. The input integer will be between 1 and 200,000,000, inclusive.

## Output

The output will consist of a single integer per line, indicating the value of k needed such that every digit from 0 through 9 is seen at least once.

## Sample Input

1 10 123456789 3141592

## Sample Output

10 9 3 5 2012Submit

Source: Pacific Northwest 2012