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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 remove(self, index=None, hash=None, keepSorted=True):
 """ Removes a particle from the simulation. Parameters index : int, optional Specify particle to remove by index. hash : c_uint32 or string, optional Specifiy particle to remove by hash (if a string is passed, the corresponding hash is calculated). keepSorted : bool, optional By default, remove preserves the order of particles in the particles array. Might set it to zero in cases with many particles and many removals to speed things up. """

        if index is not None:
            clibrebound.reb_remove(byref(self), index, keepSorted)
        if hash is not None:
            hash_types = c_uint32, c_uint, c_ulong
            PY3 = sys.version_info[0] == 3
            if PY3:
                string_types = str,
                int_types = int,
            else:
                string_types = basestring,
                int_types = int, long
            if isinstance(hash, string_types):
                clibrebound.reb_remove_by_hash(byref(self), rebhash(hash), keepSorted)
            elif isinstance(hash, int_types):
                clibrebound.reb_remove_by_hash(byref(self), c_uint32(hash), keepSorted)
            elif isinstance(hash, hash_types):
                clibrebound.reb_remove_by_hash(byref(self), hash, keepSorted)
        if hasattr(self, '_widgets'):
            self._display_heartbeat(pointer(self))

        self.process_messages()