






"""simple docstring"""


from __future__ import annotations

from pathlib import Path



def    lowerCAmelCase							(       __UpperCamelCase						,			__UpperCamelCase					):




  """simple docstring"""







  return pointa[0] * pointa[1] - pointa[1] * pointa[0]



def    lowerCAmelCase							(       __UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase					):




  """simple docstring"""







  __A		     =					(xa, ya)
  __A		     =					(xa - xa, ya - ya)
  __A		     =					(xa - xa, ya - ya)
  __A		     =					-vector_product(__UpperCamelCase						,			__UpperCamelCase					) / vector_product(
      __UpperCamelCase						,			__UpperCamelCase					)
  __A		     =					+vector_product(__UpperCamelCase						,			__UpperCamelCase					) / vector_product(
      __UpperCamelCase						,			__UpperCamelCase					)

  return a > 0 and b > 0 and a + b < 1



def    lowerCAmelCase							(       __UpperCamelCase = "p102_triangles.txt"					):




  """simple docstring"""







  __A		     =					Path(__UpperCamelCase					).parent.joinpath(__UpperCamelCase					).read_text(encoding='''utf-8'''					)

  __A		     =					[]
  for line in data.strip().split('''\n'''					):
    triangles.append([int(__UpperCamelCase					) for number in line.split(''','''					)]					)

  __A		     =					0
  __A		     =					42

  for triangle in triangles:
    ret += contains_origin(*__UpperCamelCase					)

  return ret


if __name__ == "__main__":
       print(F'''{solution() = }''')








"""simple docstring"""






import unittest

from transformers import BlenderbotTokenizer, BlenderbotTokenizerFast
from transformers.utils import cached_property


class 	A_       (     unittest.TestCase   ):





  """simple docstring"""

  @cached_property
  def 							lowercase_     (						self						)				->					Optional[Any]:
     return BlenderbotTokenizer.from_pretrained('facebook/blenderbot-3B'						)
  @cached_property
  def 							lowercase_     (						self						)				->					Optional[int]:
     return BlenderbotTokenizerFast.from_pretrained('facebook/blenderbot-3B'						)
  def 							lowercase_     (						self						)				->					Union[str, Any]:
     a   :	List[Any]						=    self.tokenizer_ab
     a   :	int						=    ' I am a small frog.'
     a   :	Any						=    tok([src_text]  ,					padding=__UpperCAmelCase  ,					truncation=__UpperCAmelCase						)['input_ids']
     a   :	List[str]						=    tok.batch_decode(__UpperCAmelCase  ,					skip_special_tokens=__UpperCAmelCase  ,					clean_up_tokenization_spaces=__UpperCAmelCase						)[0]
     assert src_text == decoded
  def 							lowercase_     (						self						)				->					Optional[Any]:
     a   :	Optional[int]						=    self.rust_tokenizer_ab
     a   :	List[Any]						=    ' I am a small frog.'
     a   :	Union[str, Any]						=    tok([src_text]  ,					padding=__UpperCAmelCase  ,					truncation=__UpperCAmelCase						)['input_ids']
     a   :	Optional[Any]						=    tok.batch_decode(__UpperCAmelCase  ,					skip_special_tokens=__UpperCAmelCase  ,					clean_up_tokenization_spaces=__UpperCAmelCase						)[0]
     assert src_text == decoded
  def 							lowercase_     (						self						)				->					Tuple:
     assert self.tokenizer_ab.add_prefix_space
     assert self.tokenizer_ab([' Sam', 'Sam']						).input_ids == [[55_02, 2], [55_02, 2]]






  def 							lowercase_     (						self						)				->					Tuple:
     assert self.rust_tokenizer_ab.add_prefix_space
     assert self.rust_tokenizer_ab([' Sam', 'Sam']						).input_ids == [[55_02, 2], [55_02, 2]]





