The task at hand is to compress and decompress a given text file using a custom $6-$bit encoding scheme. The motivation behind this method is to save storage space by representing each character using $6$ bits instead of the standard $8$ bits. Since there are

possible $6-$bit patterns, we can represent all ASCII characters $($there are $95$ printable ones$)$ and a few control characters.

Let's analyze the given information step by step:

Encoding: The encoding scheme replaces each $8-$bit character with a $6-$bit one. Since $6$ bits can represent up to $64$ distinct values, and there are $95$ printable ASCII characters, there will be some collisions. However, as long as the $0-$bit doesn't appear six times consecutively in the input, there won't be any ambiguity during decoding.

Padding: When compressing, if the last $6-$bit sequence spills over into the next byte, it may be confused with another $6-$bit sequence. To avoid this, the encoding scheme starts with the pattern

instead of

$,$ ensuring that there will always be at least one $0-$bit left unused at the end of the sequence.

File handling: The compression is done with the

flag, and the decompression is done with the

flag. If the output file name is not specified during compression, the encoded file will have the

extension. During decompression, if the output file name is not specified, the output will be written to

$.$

Error handling: If the input is not as expected $($e$.$g$.,$ not a valid text file$),$ the process should abort with an error message.

This task involves compressing and decompressing text files using a custom $6-$bit encoding scheme. The encoding scheme replaces $8-$bit characters with $6-$bit ones, ensuring there are no ambiguities by starting with the pattern

and adding padding zeros if needed. The compression and decompression are done using

and

flags, respectively, with proper file handling and error messages for unexpected input.

please develope a code in c$++$ for this