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Smallest Multiple With 0 and 1

Problem Description

You are given an integer A. You have to find the smallest multiple of A which consists of digits 0 and 1 only. Since this multiple could be large, return it in form of a string.
Note: Returned string should not contain leading zeroes.

Problem Constraints
1 <= A <= 105

Input Format
The first argument is an integer A.

Output Format
Return a string equal to the smallest multiple of A which consists of digits 0 and 1 only

Example Input
Input 1:
`55`
Input 2:
`2`

Example Output
Output 1:
`110`
Output 2:
`10`

Example Explanation
Explanation 1:
`110 is the smallest integer which is divisible by 55 and contains 0 and 1 only`
Explanation 2:
`10 is the smallest integer which is divisible by 2 and contains 0 and 1 only`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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