





def  lowerCAmelCase_ (							UpperCamelCase_  )     ->		None:
       UpperCamelCase_          =  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  lowerCAmelCase_ (							UpperCamelCase_  )     ->		list[list[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"  )

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




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




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		)     ->		None:
       UpperCamelCase_          =  triangle[current_row_idx - 1][current_col_idx - 1]
       UpperCamelCase_          =  triangle[current_row_idx - 1][current_col_idx]
       UpperCamelCase_          =  above_to_left_elt + above_to_right_elt




def  lowerCAmelCase_ (							UpperCamelCase_  )     ->		list[list[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"  )

       UpperCamelCase_          =  [[1]]

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

       return result




def  lowerCAmelCase_ (							)     ->		None:
       from collections.abc import Callable
       from timeit import timeit

       def benchmark_a_function(UpperCamelCase_					,		UpperCamelCase_  ) -> None:
              UpperCamelCase_          =  F'''{func.__name__}({value})'''
              UpperCamelCase_          =  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()








import json
import os
import unittest

from transformers.models.xlm.tokenization_xlm import VOCAB_FILES_NAMES, XLMTokenizer
from transformers.testing_utils import slow

from ...test_tokenization_common import TokenizerTesterMixin



class 							_UpperCamelCase					(	lowerCAmelCase_  ,						unittest.TestCase     ):
       _UpperCamelCase				:					Union[str, Any]         =   XLMTokenizer
       _UpperCamelCase				:					Optional[int]         =   False

       def lowercase (		self: Dict		)       -> Union[str, Any]:




              """simple docstring"""


              super().setUp()

              # Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
              UpperCamelCase_          =  [
                  "l",
                  "o",
                  "w",
                  "e",
                  "r",
                  "s",
                  "t",
                  "i",
                  "d",
                  "n",
                  "w</w>",
                  "r</w>",
                  "t</w>",
                  "lo",
                  "low",
                  "er</w>",
                  "low</w>",
                  "lowest</w>",
                  "newer</w>",
                  "wider</w>",
                  "<unk>",
              ]
              UpperCamelCase_          =  dict(zip(_SCREAMING_SNAKE_CASE					,   range(len(_SCREAMING_SNAKE_CASE		)		)		)		)
              UpperCamelCase_          =  ["l o 123", "lo w 1456", "e r</w> 1789", ""]

              UpperCamelCase_          =  os.path.join(self.tmpdirname					,   VOCAB_FILES_NAMES["vocab_file"]		)
              UpperCamelCase_          =  os.path.join(self.tmpdirname					,   VOCAB_FILES_NAMES["merges_file"]		)
              with open(self.vocab_file					,   "w"		) as fp:
                     fp.write(json.dumps(_SCREAMING_SNAKE_CASE		)		)
              with open(self.merges_file					,   "w"		) as fp:
                     fp.write("\n".join(_SCREAMING_SNAKE_CASE		)		)

       def lowercase (		self: Optional[Any]					,   _SCREAMING_SNAKE_CASE: List[str]		)       -> str:




              """simple docstring"""


              UpperCamelCase_          =  "lower newer"
              UpperCamelCase_          =  "lower newer"
              return input_text, output_text

       def lowercase (		self: int		)       -> Tuple:




              """simple docstring"""


              UpperCamelCase_          =  XLMTokenizer(self.vocab_file					,   self.merges_file		)

              UpperCamelCase_          =  "lower"
              UpperCamelCase_          =  ["low", "er</w>"]
              UpperCamelCase_          =  tokenizer.tokenize(_SCREAMING_SNAKE_CASE		)
              self.assertListEqual(_SCREAMING_SNAKE_CASE					,   _SCREAMING_SNAKE_CASE		)

              UpperCamelCase_          =  tokens + ["<unk>"]
              UpperCamelCase_          =  [14, 15, 20]
              self.assertListEqual(tokenizer.convert_tokens_to_ids(_SCREAMING_SNAKE_CASE		)					,   _SCREAMING_SNAKE_CASE		)



       @slow
       def lowercase (		self: Optional[int]		)       -> Tuple:




              """simple docstring"""


              UpperCamelCase_          =  XLMTokenizer.from_pretrained("xlm-mlm-en-2048"		)

              UpperCamelCase_          =  tokenizer.encode("sequence builders"					,   add_special_tokens=_SCREAMING_SNAKE_CASE		)
              UpperCamelCase_          =  tokenizer.encode("multi-sequence build"					,   add_special_tokens=_SCREAMING_SNAKE_CASE		)

              UpperCamelCase_          =  tokenizer.build_inputs_with_special_tokens(_SCREAMING_SNAKE_CASE		)
              UpperCamelCase_          =  tokenizer.build_inputs_with_special_tokens(_SCREAMING_SNAKE_CASE					,   _SCREAMING_SNAKE_CASE		)

              assert encoded_sentence == [0] + text + [1]
              assert encoded_pair == [0] + text + [1] + text_a + [1]

