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Divisibility by 15
There is a string containing only decimal digit characters. The length of the string is between 1 and 1000. Using characters of the string, you have to construct the maximum number which divides by fifteen without remainder. Each character of the string may not be used more than once.
The input contains a single line representing the source string.
The output contains one line with the decimal representation of the maximum number. Leading zeroes should be omitted. If no number can be constructed, the output file has to contain a single word “impossible”.
Northeastern Europe 2004, Western Subregion
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