ONEZERO - Ones and zeros

Certain positive integers have their decimal representation consisting only of ones and zeros, and having at least one digit one, e.g. 101. If a positive integer does not have such a property, one can try to multiply it by some positive integer to find out whether the product has this property.

Input

Number K of test cases (K is approximately 1000);
in each of the next K lines there is one integer n (1 <= n <= 20000)

Output

For each test case, your program should compute the smallest multiple of the number n consisting only of digits 1 and 0 (beginning with 1).

Example

Input:
3
17
11011
17
Output:
11101
11011
11101

Added by:PaweĊ‚ Dobrzycki
Date:2005-05-26
Time limit:8s
Source limit:4096B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:CPP C++ 4.3.2 CPP14 JAVA
Resource:II Polish Olympiad in Informatics, Ist Stage

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