code: def min_signed_type(x, min_size=8):
      """
      Return the smallest *signed* integer dtype
      that can represent the integer ``x``
      """
      for int_dtype in np.sctypes["int"]:
          if (cudf.dtype(int_dtype).itemsize * 8) >= min_size:
              if (
                  np.iinfo(int_dtype).min
                  <= x
                  <= np.iinfo(int_dtype).max
              ):
                  return int_dtype
      # resort to using `int64` and let numpy raise appropriate exception:
      return np.int64(x).dtype
  
imports: import datetime
  from collections import namedtuple
  from decimal import Decimal
  import cupy
  import numpy
  import pandas
  import pyarrow
  from pandas.core.dtypes.common import infer_dtype_from_object
  import cudf
  from cudf._typing import DtypeObj
  from cudf.api.types import is_bool, is_float, is_integer
label_desc: Use image node_id 12 for calling a global function with example usage: min_signed_type(x, min_size) and returns: np, int_dtype