



'''simple docstring'''







def 			_lowerCAmelCase(      UpperCAmelCase_      :	int						) ->							int:
							return n * (2 * n - 1)
def 			_lowerCAmelCase(      UpperCAmelCase_      :	int						) ->							bool:
							lowerCAmelCase__  =   (1 + 24 * n) ** 0.5
							return ((1 + root) / 6) % 1 == 0
def 			_lowerCAmelCase(      UpperCAmelCase_      :	int = 144						) ->							int:
							lowerCAmelCase__  =   start
							lowerCAmelCase__  =   hexagonal_num(UpperCAmelCase_						)
							while not is_pentagonal(UpperCAmelCase_						):
														n += 1
														lowerCAmelCase__  =   hexagonal_num(UpperCAmelCase_						)
							return num


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()





