

"""simple docstring"""



from typing import TYPE_CHECKING

from ..utils import _LazyModule


SCREAMING_SNAKE_CASE_					:	Tuple							  =						{
    'config': [
        'EXTERNAL_DATA_FORMAT_SIZE_LIMIT',
        'OnnxConfig',
        'OnnxConfigWithPast',
        'OnnxSeq2SeqConfigWithPast',
        'PatchingSpec',
    ],
    'convert': ['export', 'validate_model_outputs'],
    'features': ['FeaturesManager'],
    'utils': ['ParameterFormat', 'compute_serialized_parameters_size'],
}


if TYPE_CHECKING:
 from .config import (
     EXTERNAL_DATA_FORMAT_SIZE_LIMIT,
     OnnxConfig,
     OnnxConfigWithPast,
     OnnxSeqaSeqConfigWithPast,
     PatchingSpec,
 )
 from .convert import export, validate_model_outputs
 from .features import FeaturesManager
 from .utils import ParameterFormat, compute_serialized_parameters_size

else:
 import sys

 SCREAMING_SNAKE_CASE_					:	Any							  =						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)









"""simple docstring"""



def  _snake_case     (    UpperCAmelCase_  :					int			):
     A__										=  generate_pascal_triangle(UpperCAmelCase_			)
     for row_idx in range(UpperCAmelCase_			):
          # Print left spaces
          for _ in range(num_rows - row_idx - 1			):
               print(end=""" """			)
          # Print row values
          for col_idx in range(row_idx + 1			):
               if col_idx != row_idx:
                    print(triangle[row_idx][col_idx]					,   end=""" """			)
               else:
                    print(triangle[row_idx][col_idx]					,   end=""""""			)
          print()





def  _snake_case     (    UpperCAmelCase_  :					int			):

     if not isinstance(UpperCAmelCase_					,   UpperCAmelCase_			):
          raise TypeError("""The input value of 'num_rows' should be 'int'"""			)

     if num_rows == 0:
          return []
     elif num_rows < 0:
          raise ValueError(
              """The input value of 'num_rows' should be greater than or equal to 0"""			)

     A__										=  []
     for current_row_idx in range(UpperCAmelCase_			):
          A__										=  populate_current_row(UpperCAmelCase_					,   UpperCAmelCase_			)
          triangle.append(UpperCAmelCase_			)
     return triangle





def  _snake_case     (    UpperCAmelCase_  :					list[list[int]]					,   UpperCAmelCase_  :					int			):
     A__										=  [-1] * (current_row_idx + 1)
     # first and last elements of current row are equal to 1
     A__			,				A__										=  1, 1
     for current_col_idx in range(1					,   UpperCAmelCase_			):
          calculate_current_element(
              UpperCAmelCase_					,   UpperCAmelCase_					,   UpperCAmelCase_					,   UpperCAmelCase_			)
     return current_row





def  _snake_case     (    UpperCAmelCase_  :					list[list[int]]					,   UpperCAmelCase_  :					list[int]					,   UpperCAmelCase_  :					int					,   UpperCAmelCase_  :					int					,   ):
     A__										=  triangle[current_row_idx - 1][current_col_idx - 1]
     A__										=  triangle[current_row_idx - 1][current_col_idx]
     A__										=  above_to_left_elt + above_to_right_elt





def  _snake_case     (    UpperCAmelCase_  :					int			):

     if not isinstance(UpperCAmelCase_					,   UpperCAmelCase_			):
          raise TypeError("""The input value of 'num_rows' should be 'int'"""			)

     if num_rows == 0:
          return []
     elif num_rows < 0:
          raise ValueError(
              """The input value of 'num_rows' should be greater than or equal to 0"""			)

     A__										=  [[1]]

     for row_index in range(1					,   UpperCAmelCase_			):
          A__										=  [0] + result[-1] + [0]
          A__										=  row_index + 1
          # Calculate the number of distinct elements in a row
          A__										=  sum(divmod(UpperCAmelCase_					,   2			)			)
          A__										=  [
              temp_row[i - 1] + temp_row[i] for i in range(1					,   distinct_elements + 1			)
          ]
          A__										=  row_first_half[: (row_index + 1) // 2]
          row_second_half.reverse()
          A__										=  row_first_half + row_second_half
          result.append(UpperCAmelCase_			)

     return result





def  _snake_case     (    ):
     from collections.abc import Callable
     from timeit import timeit

     def benchmark_a_function(UpperCAmelCase_  :					Callable					,   UpperCAmelCase_  :					int			) -> None:
          A__										=  F"""{func.__name__}({value})"""
          A__										=  timeit(F"""__main__.{call}"""					,   setup="""import __main__"""			)
          # print(f"{call:38} = {func(value)} -- {timing:.4f} seconds")
          print(F"""{call:38} -- {timing:.4f} seconds"""			)

     for value in range(15			):  # (1, 7, 14):
          for func in (generate_pascal_triangle, generate_pascal_triangle_optimized):
               benchmark_a_function(UpperCAmelCase_					,   UpperCAmelCase_			)
          print()


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 benchmark()






