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A company has released a new compression algorithm COMPRESS that will compress every file to at most half its original size. Determine, with justification, if an accompanying lossless decompression algorithm can exist for this compression algorithm (A decompression algorithm is lossless if it always outputs the original file, given the compression algorithm's output when run on the original file.)

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A company has released a new compression algorithm COMPRESS that will compress every file to at most...

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