code: def _postprocess_for_cut(fac, bins, retbins: bool, dtype, original):
      """
      handles post processing for the cut method where
      we combine the index information if the originally passed
      datatype was a series
      """
      if isinstance(original, ABCSeries):
          fac = original._constructor(
              fac, index=original.index, name=original.name
          )
  
      if not retbins:
          return fac
  
      bins = _convert_bin_to_datelike_type(bins, dtype)
  
      return fac, bins
  
imports: from __future__ import annotations
  from typing import Any, Callable, Literal
  import numpy
  from pandas._libs import Timedelta, Timestamp
  from pandas._libs.lib import infer_dtype
  from pandas._typing import IntervalLeftRight
  from pandas.core.dtypes.common import DT64NS_DTYPE, ensure_platform_int, is_bool_dtype, is_categorical_dtype, is_datetime64_dtype, is_datetime64tz_dtype, is_datetime_or_timedelta_dtype, is_extension_array_dtype, is_integer, is_list_like, is_numeric_dtype, is_scalar, is_timedelta64_dtype
  from pandas.core.dtypes.generic import ABCSeries
  from pandas.core.dtypes.missing import isna
  from pandas import Categorical, Index, IntervalIndex, to_datetime, to_timedelta
  from pandas.core import nanops
  import pandas.core.algorithms
label_desc: Use image node_id 9 for calling a global function with example usage: _postprocess_for_cut(fac, bins, retbins, dtype, original) and returns: fac,  bins, fac