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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def read_cache(cachefile, coltype=LIGOTimeGPS, sort=None, segment=None):
 """Read a LAL- or FFL-format cache file as a list of file paths Parameters cachefile : `str`, `file` Input file or file path to read. coltype : `LIGOTimeGPS`, `int`, optional Type for GPS times. sort : `callable`, optional A callable key function by which to sort the output list of file paths segment : `gwpy.segments.Segment`, optional A GPS `[start, stop)` interval, if given only files overlapping this interval will be returned. Returns ------- paths : `list` of `str` A list of file paths as read from the cache file. """

    # open file
    if not isinstance(cachefile, FILE_LIKE):
        with open(file_path(cachefile), 'r') as fobj:
            return read_cache(fobj, coltype=coltype, sort=sort,
                              segment=segment)

    # read file
    cache = [x.path for x in _iter_cache(cachefile, gpstype=coltype)]

    # sieve and sort
    if segment:
        cache = sieve(cache, segment=segment)
    if sort:
        cache.sort(key=sort)

    # read simple paths
    return cache