




def  snake_case(    __magic_name__   )			->							Optional[int]:





     '''simple docstring'''


     lowercase :       List[Any]       =			generate_pascal_triangle(lowerCamelCase_   )
     for row_idx in range(lowerCamelCase_   ):
          # 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(    __magic_name__   )			->							int:





     '''simple docstring'''


     if not isinstance(lowerCamelCase_			,		lowerCamelCase_   ):
          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'''   )

     lowercase :       list[list[int]]       =			[]
     for current_row_idx in range(lowerCamelCase_   ):
          lowercase :       List[str]       =			populate_current_row(lowerCamelCase_			,		lowerCamelCase_   )
          triangle.append(lowerCamelCase_   )
     return triangle






def  snake_case(    __magic_name__			,		__magic_name__   )			->							Any:





     '''simple docstring'''


     lowercase :       Union[str, Any]       =			[-1] * (current_row_idx + 1)
     # first and last elements of current row are equal to 1
     lowercase :       Optional[Any]       =			1, 1
     for current_col_idx in range(1			,		lowerCamelCase_   ):
          calculate_current_element(
              lowerCamelCase_			,		lowerCamelCase_			,		lowerCamelCase_			,		lowerCamelCase_   )
     return current_row






def  snake_case(    __magic_name__			,		__magic_name__			,		__magic_name__			,		__magic_name__			,		)			->							Union[str, Any]:





     '''simple docstring'''


     lowercase :       Union[str, Any]       =			triangle[current_row_idx - 1][current_col_idx - 1]
     lowercase :       List[Any]       =			triangle[current_row_idx - 1][current_col_idx]
     lowercase :       Optional[int]       =			above_to_left_elt + above_to_right_elt






def  snake_case(    __magic_name__   )			->							List[str]:





     '''simple docstring'''


     if not isinstance(lowerCamelCase_			,		lowerCamelCase_   ):
          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'''   )

     lowercase :       list[list[int]]       =			[[1]]

     for row_index in range(1			,		lowerCamelCase_   ):
          lowercase :       Optional[Any]       =			[0] + result[-1] + [0]
          lowercase :       Dict       =			row_index + 1
          # Calculate the number of distinct elements in a row
          lowercase :       Any       =			sum(divmod(lowerCamelCase_			,		2   )   )
          lowercase :       Tuple       =			[
              temp_row[i - 1] + temp_row[i] for i in range(1			,		distinct_elements + 1   )
          ]
          lowercase :       Optional[int]       =			row_first_half[: (row_index + 1) // 2]
          row_second_half.reverse()
          lowercase :       str       =			row_first_half + row_second_half
          result.append(lowerCamelCase_   )

     return result






def  snake_case(    )			->							List[Any]:





     '''simple docstring'''


     from collections.abc import Callable
     from timeit import timeit

     def benchmark_a_function(__magic_name__			,		__magic_name__   ) -> None:
          lowercase :       Dict       =			F"""{func.__name__}({value})"""
          lowercase :       Dict       =			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(lowerCamelCase_			,		lowerCamelCase_   )
          print()


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 benchmark()









from string import ascii_uppercase

lowerCAmelCase_						=			{char: i for i, char in enumerate(ascii_uppercase)}
lowerCAmelCase_						=			dict(enumerate(ascii_uppercase))






def  snake_case(    __magic_name__			,		__magic_name__   )			->							str:





     '''simple docstring'''


     lowercase :       Optional[Any]       =			len(__magic_name__   )
     lowercase :       Any       =			0
     while True:
          if x == i:
               lowercase :       Any       =			0
          if len(__magic_name__   ) == len(__magic_name__   ):
               break
          key += key[i]
          i += 1
     return key






def  snake_case(    __magic_name__			,		__magic_name__   )			->							str:





     '''simple docstring'''


     lowercase :       str       =			''''''
     lowercase :       Dict       =			0
     for letter in message:
          if letter == " ":
               cipher_text += " "
          else:
               lowercase :       Dict       =			(dicta[letter] - dicta[key_new[i]]) % 26
               i += 1
               cipher_text += dicta[x]
     return cipher_text






def  snake_case(    __magic_name__			,		__magic_name__   )			->							str:





     '''simple docstring'''


     lowercase :       Any       =			''''''
     lowercase :       str       =			0
     for letter in cipher_text:
          if letter == " ":
               or_txt += " "
          else:
               lowercase :       Any       =			(dicta[letter] + dicta[key_new[i]] + 26) % 26
               i += 1
               or_txt += dicta[x]
     return or_txt






def  snake_case(    )			->							None:





     '''simple docstring'''


     lowercase :       Dict       =			'''THE GERMAN ATTACK'''
     lowercase :       Dict       =			'''SECRET'''
     lowercase :       Union[str, Any]       =			generate_key(__magic_name__			,		__magic_name__   )
     lowercase :       List[str]       =			cipher_text(__magic_name__			,		__magic_name__   )
     print(F"""Encrypted Text = {s}"""   )
     print(F"""Original Text = {original_text(__magic_name__			,		__magic_name__   )}"""   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()