


from math import gcd

def  lowerCAmelCase__				(    a__:	int = 1_2_0_0_0 )						->	int:


							'''simple docstring'''





							_UpperCAmelCase					=    0
							for d in range(max_d + 1 ):
														for n in range(d // 3 + 1    ,						(d + 1) // 2 ):
																					if gcd(a__    ,						a__ ) == 1:
																												fractions_number += 1
							return fractions_number


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




import unittest

from transformers import load_tool
from transformers.tools.agent_types import AGENT_TYPE_MAPPING

from .test_tools_common import ToolTesterMixin, output_types

class 	__a   (       unittest.TestCase					,   UpperCAmelCase    ):
		def 			UpperCAmelCase__       (    self		)				-> str:




									"""simple docstring"""





									_UpperCAmelCase					=    load_tool('translation'		)
									self.tool.setup()
									_UpperCAmelCase					=    load_tool('translation'    ,					remote=_SCREAMING_SNAKE_CASE		)
		def 			UpperCAmelCase__       (    self		)				-> Optional[int]:




									"""simple docstring"""





									_UpperCAmelCase					=    self.tool('Hey, what\'s up?'    ,					src_lang='English'    ,					tgt_lang='French'		)
									self.assertEqual(_SCREAMING_SNAKE_CASE    ,					'- Hé, comment ça va?'		)
		def 			UpperCAmelCase__       (    self		)				-> Tuple:




									"""simple docstring"""





									_UpperCAmelCase					=    self.remote_tool('Hey, what\'s up?'    ,					src_lang='English'    ,					tgt_lang='French'		)
									self.assertEqual(_SCREAMING_SNAKE_CASE    ,					'- Hé, comment ça va?'		)
		def 			UpperCAmelCase__       (    self		)				-> Optional[int]:




									"""simple docstring"""





									_UpperCAmelCase					=    self.tool(text='Hey, what\'s up?'    ,					src_lang='English'    ,					tgt_lang='French'		)
									self.assertEqual(_SCREAMING_SNAKE_CASE    ,					'- Hé, comment ça va?'		)
		def 			UpperCAmelCase__       (    self		)				-> int:




									"""simple docstring"""





									_UpperCAmelCase					=    self.remote_tool(text='Hey, what\'s up?'    ,					src_lang='English'    ,					tgt_lang='French'		)
									self.assertEqual(_SCREAMING_SNAKE_CASE    ,					'- Hé, comment ça va?'		)
		def 			UpperCAmelCase__       (    self		)				-> Tuple:




									"""simple docstring"""





									_UpperCAmelCase					=    ['Hey, what\'s up?', 'English', 'Spanish']
									_UpperCAmelCase					=    self.tool(*_SCREAMING_SNAKE_CASE		)

									# There is a single output
									if len(self.tool.outputs		) == 1:
																_UpperCAmelCase					=    [outputs]

									self.assertListEqual(output_types(_SCREAMING_SNAKE_CASE		)    ,					self.tool.outputs		)
		def 			UpperCAmelCase__       (    self		)				-> Union[str, Any]:




									"""simple docstring"""





									_UpperCAmelCase					=    ['Hey, what\'s up?', 'English', 'Spanish']
									_UpperCAmelCase					=    self.tool(*_SCREAMING_SNAKE_CASE		)

									if not isinstance(_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE		):
																_UpperCAmelCase					=    [outputs]

									self.assertEqual(len(_SCREAMING_SNAKE_CASE		)    ,					len(self.tool.outputs		)		)

									for output, output_type in zip(_SCREAMING_SNAKE_CASE    ,					self.tool.outputs		):
																_UpperCAmelCase					=    AGENT_TYPE_MAPPING[output_type]
																self.assertTrue(isinstance(_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE		)		)






		def 			UpperCAmelCase__       (    self		)				-> Optional[int]:




									"""simple docstring"""





									_UpperCAmelCase					=    ['Hey, what\'s up?', 'English', 'Spanish']

									_UpperCAmelCase					=    []

									for _input, input_type in zip(_SCREAMING_SNAKE_CASE    ,					self.tool.inputs		):
																if isinstance(_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE		):
																							_inputs.append([AGENT_TYPE_MAPPING[_input_type](_input		) for _input_type in input_type]		)
																else:
																							_inputs.append(AGENT_TYPE_MAPPING[input_type](_input		)		)

        # Should not raise an error
									_UpperCAmelCase					=    self.tool(*_SCREAMING_SNAKE_CASE		)

									if not isinstance(_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE		):
																_UpperCAmelCase					=    [outputs]

									self.assertEqual(len(_SCREAMING_SNAKE_CASE		)    ,					len(self.tool.outputs		)		)
