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ZOJ Problem Set - 1530
Find The Multiple

Time Limit: 2 Seconds      Memory Limit: 65536 KB      Special Judge

Given a positive integer n, write a program to find out a nonzero multiple m of n whose decimal representation contains only the digits 0 and 1. You may assume that n is not greater than 200 and there is a corresponding m containing no more than 100 decimal digits.


Input

The input file may contain multiple test cases. Each line contains a value of n (1 <= n <= 200). A line containing a zero (0) terminates the input.


Output

For each value of n in the input print a line containing the corresponding value of m. The decimal representation of m must not contain more than 100 digits. If there are multiple solutions for a given value of n, any one of them is acceptable.


Sample Input

2
6
19
0


Sample Output

10
100100100100100100
111111111111111111


Source: Asia 2002, Dhaka (Bengal)
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