



from __future__ import annotations







def       lowerCamelCase_  (    _a       :						int    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Optional[Any]  		=					[0] * max_one

    for i in range(0   ,		_a    ):
        UpperCAmelCase_     :       List[Any]  		=					i

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

    return totients







def       lowerCamelCase_  (    _a       :						int   ,		_a       :						int    ):



    '''simple docstring'''




    return sorted(str(_a    )    ) == sorted(str(_a    )    )







def       lowerCamelCase_  (    _a       :						int = 1000_0000    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Optional[Any]  		=					1  # i
    UpperCAmelCase_     :       Optional[int]  		=					0  # φ(i)
    UpperCAmelCase_     :       List[str]  		=					get_totients(max_n + 1    )

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

        if i * min_denominator < min_numerator * t and has_same_digits(_a   ,		_a    ):
            UpperCAmelCase_     :       List[Any]  		=					i
            UpperCAmelCase_     :       Union[str, Any]  		=					t

    return min_numerator


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





'''simple docstring'''







_UpperCamelCase  						=			{
    "kilogram": 1,
    "gram": pow(10, 3),
    "milligram": pow(10, 6),
    "metric-ton": pow(10, -3),
    "long-ton": 0.0009842073,
    "short-ton": 0.0011023122,
    "pound": 2.2046244202,
    "stone": 0.1574731728,
    "ounce": 35.273990723,
    "carrat": 5000,
    "atomic-mass-unit": 6.0_2213_6652e26,
}

_UpperCamelCase  						=			{
    "kilogram": 1,
    "gram": pow(10, -3),
    "milligram": pow(10, -6),
    "metric-ton": pow(10, 3),
    "long-ton": 1016.04608,
    "short-ton": 907.184,
    "pound": 0.453592,
    "stone": 6.35029,
    "ounce": 0.0283495,
    "carrat": 0.0002,
    "atomic-mass-unit": 1.6_6054_0199e-27,
}
def 			_lowerCAmelCase(      UpperCAmelCase_      :	str					, UpperCAmelCase_      :	str					, UpperCAmelCase_      :	float						) ->							float:
							if to_type not in KILOGRAM_CHART or from_type not in WEIGHT_TYPE_CHART:
														lowerCAmelCase__  =   (
														    F'''Invalid \'from_type\' or \'to_type\' value: {from_type!r}, {to_type!r}\n'''
														    F'''Supported values are: {", ".join(UpperCAmelCase_						)}'''
														)
														raise ValueError(UpperCAmelCase_						)
							return value * KILOGRAM_CHART[to_type] * WEIGHT_TYPE_CHART[from_type]


if __name__ == "__main__":
		import doctest

		doctest.testmod()





