





"""simple docstring"""


from __future__ import annotations





def 				a__      (	_UpperCAmelCase						)     ->	List[str]:

 '''simple docstring'''






 snake_case__     				=					[0] * max_one

 for i in range(0						,  _UpperCAmelCase						):
  snake_case__     				=					i

 for i in range(2						,  _UpperCAmelCase						):
  if totients[i] == i:
   for j in range(_UpperCAmelCase						,  _UpperCAmelCase						,  _UpperCAmelCase						):
    totients[j] -= totients[j] // i

 return totients





def 				a__      (	_UpperCAmelCase						,  _UpperCAmelCase						)     ->	Any:

 '''simple docstring'''






 return sorted(str(_UpperCAmelCase						)						) == sorted(str(_UpperCAmelCase						)						)





def 				a__      (	_UpperCAmelCase = 1_0_0_0_0_0_0_0						)     ->	Union[str, Any]:

 '''simple docstring'''






 snake_case__     				=					1  # i
 snake_case__     				=					0  # φ(i)
 snake_case__     				=					get_totients(max_n + 1						)

 for i in range(2						,  max_n + 1						):
  snake_case__     				=					totients[i]

  if i * min_denominator < min_numerator * t and has_same_digits(_UpperCAmelCase						,  _UpperCAmelCase						):
   snake_case__     				=					i
   snake_case__     				=					t

 return min_numerator


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








"""simple docstring"""




import hashlib
import importlib.util
import json
import os
import pathlib
from types import ModuleType

import pytest
import requests

lowerCamelCase_	:		int         =   pathlib.Path.cwd().joinpath('project_euler')
lowerCamelCase_	:		str         =   pathlib.Path.cwd().joinpath(
    'scripts', 'project_euler_answers.json'
)

with open(PROJECT_EULER_ANSWERS_PATH) as file_handle:
   lowerCamelCase_	:		dict[str, str]         =   json.load(file_handle)





def 		UpperCAmelCase__						(	_UpperCAmelCase   ):






  """simple docstring"""





  A_    :			List[str]									=    importlib.util.spec_from_file_location(file_path.name					,   str(_UpperCAmelCase   )   )
  A_    :			int									=    importlib.util.module_from_spec(_UpperCAmelCase   )  # type: ignore
  spec.loader.exec_module(_UpperCAmelCase   )  # type: ignore
  return module





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  A_    :			Tuple									=    []
  for problem_dir_path in PROJECT_EULER_DIR_PATH.iterdir():
    if problem_dir_path.is_file() or problem_dir_path.name.startswith('_'   ):
      continue
    for file_path in problem_dir_path.iterdir():
      if file_path.suffix != ".py" or file_path.name.startswith(('_', 'test')   ):
        continue
      solution_file_paths.append(_UpperCAmelCase   )
  return solution_file_paths





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  with open(os.environ['GITHUB_EVENT_PATH']   ) as file:
    A_    :			str									=    json.load(_UpperCAmelCase   )
  return event["pull_request"]["url"] + "/files"





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  A_    :			Any									=    []
  A_    :			Optional[Any]									=    {
      'Accept': 'application/vnd.github.v3+json',
      'Authorization': 'token ' + os.environ['GITHUB_TOKEN'],
  }
  A_    :			Union[str, Any]									=    requests.get(get_files_url()					,   headers=_UpperCAmelCase   ).json()
  for file in files:
    A_    :			Optional[int]									=    pathlib.Path.cwd().joinpath(file['filename']   )
    if (
        filepath.suffix != ".py"
        or filepath.name.startswith(('_', 'test')   )
        or not filepath.name.startswith('sol'   )
    ):
      continue
    solution_file_paths.append(_UpperCAmelCase   )
  return solution_file_paths





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  if os.environ.get('CI'   ) and os.environ.get('GITHUB_EVENT_NAME'   ) == "pull_request":
    # Return only if there are any, otherwise default to all solutions
    if filepaths := added_solution_file_path():
      return filepaths
  return all_solution_file_paths()





@pytest.mark.parametrize(
    'solution_path'					,   collect_solution_file_paths()					,   ids=lambda _UpperCAmelCase   : f"""{path.parent.name}/{path.name}"""					,   )
def 		UpperCAmelCase__						(	_UpperCAmelCase   ):






  """simple docstring"""





  A_    :			str									=    solution_path.parent.name[8:].zfill(3   )
  A_    :			str									=    PROBLEM_ANSWERS[problem_number]
  A_    :			List[Any]									=    convert_path_to_module(_UpperCAmelCase   )
  A_    :			Optional[int]									=    str(solution_module.solution()   )  # type: ignore
  A_    :			Any									=    hashlib.shaaaa(answer.encode()   ).hexdigest()
  assert (
      answer == expected
  ), f"""Expected solution to {problem_number} to have hash {expected}, got {answer}"""