




def 				A__ (snake_case   :		int				)     ->						None:
					__UpperCamelCase					:	List[Any]             =      generate_pascal_triangle(snake_case				)
					for row_idx in range(snake_case				):
										# 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 				A__ (snake_case   :		int				)     ->						list[list[int]]:

					if not isinstance(snake_case		,	snake_case				):
										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					:	list[list[int]]             =      []
					for current_row_idx in range(snake_case				):
										__UpperCamelCase					:	int             =      populate_current_row(snake_case		,	snake_case				)
										triangle.append(snake_case				)
					return triangle





def 				A__ (snake_case   :		list[list[int]]		,	snake_case   :		int				)     ->						list[int]:
					__UpperCamelCase					:	List[Any]             =      [-1] * (current_row_idx + 1)
					# first and last elements of current row are equal to 1
					__UpperCamelCase      ,			__UpperCamelCase					:	Union[str, Any]             =      1, 1
					for current_col_idx in range(1		,	snake_case				):
										calculate_current_element(
										    snake_case		,	snake_case		,	snake_case		,	snake_case				)
					return current_row





def 				A__ (snake_case   :		list[list[int]]		,	snake_case   :		list[int]		,	snake_case   :		int		,	snake_case   :		int		,	)     ->						None:
					__UpperCamelCase					:	Tuple             =      triangle[current_row_idx - 1][current_col_idx - 1]
					__UpperCamelCase					:	List[Any]             =      triangle[current_row_idx - 1][current_col_idx]
					__UpperCamelCase					:	List[Any]             =      above_to_left_elt + above_to_right_elt





def 				A__ (snake_case   :		int				)     ->						list[list[int]]:

					if not isinstance(snake_case		,	snake_case				):
										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					:	list[list[int]]             =      [[1]]

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

					return result





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

					def benchmark_a_function(snake_case   :		Callable		,	snake_case   :		int				) -> None:
										__UpperCamelCase					:	Any             =      F'''{func.__name__}({value})'''
										__UpperCamelCase					:	Any             =      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(snake_case		,	snake_case				)
										print()


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	benchmark()












import warnings
from typing import Dict, List, Optional, Tuple

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


a__		     =     logging.get_logger(__name__)


class    SCREAMING_SNAKE_CASE_				(       _UpperCamelCase   ):



	"""simple docstring"""


	__magic_name__   :       int      	=		['input_ids', 'attention_mask']






	def __init__(					self		:						List[Any]					,     lowerCAmelCase		:						Union[str, Any]="</s>"					,     lowerCAmelCase		:						Tuple="<unk>"					,     lowerCAmelCase		:						Union[str, Any]="<pad>"					,     lowerCAmelCase		:						Tuple=125					,     lowerCAmelCase		:						str=None					,     **lowerCAmelCase		:						Optional[Any]					,     )	->       None:







						"""simple docstring"""







						if extra_ids > 0 and additional_special_tokens is None:
											__UpperCamelCase					:	str             =      [F'''<extra_id_{i}>''' for i in range(lowerCAmelCase	)]
						elif extra_ids > 0 and additional_special_tokens is not None:
											# Check that we have the right number of extra_id special tokens
											__UpperCamelCase					:	Tuple             =      len(set(filter(lambda lowerCAmelCase	: bool("""extra_id""" in str(lowerCAmelCase	)	)					,     lowerCAmelCase	)	)	)
											if extra_tokens != extra_ids:
																raise ValueError(
																    F'''Both extra_ids ({extra_ids}) and additional_special_tokens ({additional_special_tokens}) are'''
																    """ provided to ByT5Tokenizer. In this case the additional_special_tokens must include the"""
																    """ extra_ids tokens"""	)

						__UpperCamelCase					:	Tuple             =      AddedToken(lowerCAmelCase					,     lstrip=lowerCAmelCase					,     rstrip=lowerCAmelCase	) if isinstance(lowerCAmelCase					,     lowerCAmelCase	) else pad_token
						__UpperCamelCase					:	Tuple             =      AddedToken(lowerCAmelCase					,     lstrip=lowerCAmelCase					,     rstrip=lowerCAmelCase	) if isinstance(lowerCAmelCase					,     lowerCAmelCase	) else eos_token
						__UpperCamelCase					:	int             =      AddedToken(lowerCAmelCase					,     lstrip=lowerCAmelCase					,     rstrip=lowerCAmelCase	) if isinstance(lowerCAmelCase					,     lowerCAmelCase	) else unk_token

						super().__init__(
						    eos_token=lowerCAmelCase					,     unk_token=lowerCAmelCase					,     pad_token=lowerCAmelCase					,     extra_ids=lowerCAmelCase					,     additional_special_tokens=lowerCAmelCase					,     **lowerCAmelCase					,     )

						__UpperCamelCase					:	Any             =      extra_ids

						__UpperCamelCase					:	List[Any]             =      2**8  # utf is 8 bits

						# define special tokens dict
						__UpperCamelCase					:	Dict[int, str]             =      {
						    self.pad_token: 0,
						    self.eos_token: 1,
						    self.unk_token: 2,
						}
						__UpperCamelCase					:	int             =      len(self.special_tokens_encoder	)
						__UpperCamelCase					:	Tuple             =      len(lowerCAmelCase	)
						for i, token in enumerate(lowerCAmelCase	):
											__UpperCamelCase					:	Optional[int]             =      self.vocab_size + i - n
						__UpperCamelCase					:	Dict[str, int]             =      {v: k for k, v in self.special_tokens_encoder.items()}






	@property
	def 					lowerCamelCase__     (					self		:						Any	)	->       Optional[int]:







						"""simple docstring"""







						return self._utf_vocab_size + self._num_special_tokens + self._extra_ids






	def 					lowerCamelCase__     (					self		:						Optional[int]					,     lowerCAmelCase		:						List[int]					,     lowerCAmelCase		:						Optional[List[int]] = None					,     lowerCAmelCase		:						bool = False	)	->       List[int]:







						"""simple docstring"""







						if already_has_special_tokens:
											return super().get_special_tokens_mask(
											    token_ids_a=lowerCAmelCase					,     token_ids_a=lowerCAmelCase					,     already_has_special_tokens=lowerCAmelCase	)

						# normal case: some special tokens
						if token_ids_a is None:
											return ([0] * len(lowerCAmelCase	)) + [1]
						return ([0] * len(lowerCAmelCase	)) + [1] + ([0] * len(lowerCAmelCase	)) + [1]






	def 					lowerCamelCase__     (					self		:						Tuple					,     lowerCAmelCase		:						List[int]	)	->       List[int]:







						"""simple docstring"""







						if len(lowerCAmelCase	) > 0 and token_ids[-1] == self.eos_token_id:
											warnings.warn(
											    F'''This sequence already has {self.eos_token}. In future versions this behavior may lead to duplicated'''
											    """ eos tokens being added."""	)
											return token_ids
						else:
											return token_ids + [self.eos_token_id]






	def 					lowerCamelCase__     (					self		:						List[Any]					,     lowerCAmelCase		:						List[int]					,     lowerCAmelCase		:						Optional[List[int]] = None	)	->       List[int]:







						"""simple docstring"""







						__UpperCamelCase					:	Any             =      [self.eos_token_id]

						if token_ids_a is None:
											return len(token_ids_a + eos	) * [0]
						return len(token_ids_a + eos + token_ids_a + eos	) * [0]






	def 					lowerCamelCase__     (					self		:						List[str]					,     lowerCAmelCase		:						List[int]					,     lowerCAmelCase		:						Optional[List[int]] = None	)	->       List[int]:







						"""simple docstring"""







						__UpperCamelCase					:	List[str]             =      self._add_eos_if_not_present(lowerCAmelCase	)
						if token_ids_a is None:
											return token_ids_a
						else:
											__UpperCamelCase					:	List[Any]             =      self._add_eos_if_not_present(lowerCAmelCase	)
											return token_ids_a + token_ids_a






	def 					lowerCamelCase__     (					self		:						str					,     lowerCAmelCase		:						str	)	->       List[str]:







						"""simple docstring"""







						__UpperCamelCase					:	Optional[int]             =      [chr(lowerCAmelCase	) for i in text.encode("""utf-8"""	)]
						return tokens






	def 					lowerCamelCase__     (					self		:						Union[str, Any]					,     lowerCAmelCase		:						Optional[int]	)	->       int:







						"""simple docstring"""







						if token in self.special_tokens_encoder:
											__UpperCamelCase					:	Dict             =      self.special_tokens_encoder[token]
						elif token in self.added_tokens_encoder:
											__UpperCamelCase					:	Tuple             =      self.added_tokens_encoder[token]
						elif len(lowerCAmelCase	) != 1:
											__UpperCamelCase					:	Dict             =      self.unk_token_id
						else:
											__UpperCamelCase					:	Union[str, Any]             =      ord(lowerCAmelCase	) + self._num_special_tokens
						return token_id






	def 					lowerCamelCase__     (					self		:						Union[str, Any]					,     lowerCAmelCase		:						Dict	)	->       Optional[Any]:







						"""simple docstring"""







						if index in self.special_tokens_decoder:
											__UpperCamelCase					:	str             =      self.special_tokens_decoder[index]
						else:
											__UpperCamelCase					:	Any             =      chr(index - self._num_special_tokens	)
						return token






	def 					lowerCamelCase__     (					self		:						str					,     lowerCAmelCase		:						List[Any]	)	->       List[Any]:







						"""simple docstring"""







						__UpperCamelCase					:	Union[str, Any]             =      b""""""
						for token in tokens:
											if token in self.special_tokens_decoder:
																__UpperCamelCase					:	Optional[Any]             =      self.special_tokens_decoder[token].encode("""utf-8"""	)
											elif token in self.added_tokens_decoder:
																__UpperCamelCase					:	Optional[int]             =      self.special_tokens_decoder[token].encode("""utf-8"""	)
											elif token in self.special_tokens_encoder:
																__UpperCamelCase					:	Tuple             =      token.encode("""utf-8"""	)
											elif token in self.added_tokens_encoder:
																__UpperCamelCase					:	Tuple             =      token.encode("""utf-8"""	)
											else:
																__UpperCamelCase					:	Union[str, Any]             =      bytes([ord(lowerCAmelCase	)]	)
											bstring += tok_string
						__UpperCamelCase					:	Optional[int]             =      bstring.decode("""utf-8"""					,     errors="""ignore"""	)
						return string






	def 					lowerCamelCase__     (					self		:						Optional[int]					,     lowerCAmelCase		:						str					,     lowerCAmelCase		:						Optional[str] = None	)	->       Tuple[str]:







						"""simple docstring"""







						return ()






