





"""simple docstring"""



import itertools







def 	__lowercase  (     snake_case_						:						Dict		)     ->str:



    '''simple docstring'''







    return (
        int(''''''.join(combination[0:2]		)		) * int(''''''.join(combination[2:5]		)		)
        == int(''''''.join(combination[5:9]		)		)
    ) or (
        int(''''''.join(combination[0]		)		) * int(''''''.join(combination[1:5]		)		)
        == int(''''''.join(combination[5:9]		)		)
    )







def 	__lowercase  (     )     ->List[Any]:



    '''simple docstring'''







    return sum(
        {
            int(''''''.join(pandigital[5:9]		)		)
            for pandigital in itertools.permutations('''123456789'''		)
            if is_combination_valid(__lowerCamelCase		)
        }		)


if __name__ == "__main__":
       print(solution())











"""simple docstring"""



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

import pytest
import requests

a_				=    pathlib.Path.cwd().joinpath("""project_euler""")
a_				=    pathlib.Path.cwd().joinpath(
    """scripts""", """project_euler_answers.json"""
)

with open(PROJECT_EULER_ANSWERS_PATH) as file_handle:
       a_				=    json.load(file_handle)







def 	__lowercase  (     snake_case_						:						pathlib.Path		)     ->ModuleType:



    '''simple docstring'''







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







def 	__lowercase  (     )     ->list[pathlib.Path]:



    '''simple docstring'''







    __A					:		Optional[int]						=  []
    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(snake_case_		)
    return solution_file_paths







def 	__lowercase  (     )     ->str:



    '''simple docstring'''







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







def 	__lowercase  (     )     ->list[pathlib.Path]:



    '''simple docstring'''







    __A					:		int						=  []
    __A					:		Optional[int]						=  {
        '''Accept''': '''application/vnd.github.v3+json''',
        '''Authorization''': '''token ''' + os.environ['''GITHUB_TOKEN'''],
    }
    __A					:		Optional[Any]						=  requests.get(get_files_url()       ,headers=snake_case_		).json()
    for file in files:
        __A					:		Union[str, Any]						=  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(snake_case_		)
    return solution_file_paths







def 	__lowercase  (     )     ->list[pathlib.Path]:



    '''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 snake_case_		: F"""{path.parent.name}/{path.name}"""       ,)
def 	__lowercase  (     snake_case_						:						pathlib.Path		)     ->None:



    '''simple docstring'''







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




