code: def _postprocess_for_cut(fac, bins, retbins: bool, 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
  
      if isinstance(bins, Index) and is_numeric_dtype(bins.dtype):
          bins = bins._values
  
      return fac, bins
  
imports: from __future__ import annotations
  from typing import TYPE_CHECKING, Any, Callable, Literal
  import numpy
  from pandas._libs import Timedelta, Timestamp, lib
  from pandas.core.dtypes.common import ensure_platform_int, is_bool_dtype, is_integer, is_list_like, is_numeric_dtype, is_scalar
  from pandas.core.dtypes.dtypes import CategoricalDtype, DatetimeTZDtype, ExtensionDtype
  from pandas.core.dtypes.generic import ABCSeries
  from pandas.core.dtypes.missing import isna
  from pandas import Categorical, Index, IntervalIndex
  import pandas.core.algorithms
  from pandas.core.arrays.datetimelike import dtype_to_unit
label_desc: Use image node_id 9 for calling a global function with example usage: _postprocess_for_cut(fac, bins, retbins, original) and returns: fac,  bins, fac