lowercase__      :    Union[str, Any]          =     {
    '0': 1,
    '1': 1,
    '2': 2,
    '3': 6,
    '4': 2_4,
    '5': 1_2_0,
    '6': 7_2_0,
    '7': 5_0_4_0,
    '8': 4_0_3_2_0,
    '9': 3_6_2_8_8_0,
}

lowercase__      :    Dict          =     {1_4_5: 1_4_5}

lowercase__      :    str          =     {
    1_4_5: 0,
    1_6_9: 3,
    3_6_3_0_1: 3,
    1_4_5_4: 3,
    8_7_1: 2,
    4_5_3_6_1: 2,
    8_7_2: 2,
}





def        SCREAMING_SNAKE_CASE_					(						snake_case__							)					->     int:







							if n in CACHE_SUM_DIGIT_FACTORIALS:
														return CACHE_SUM_DIGIT_FACTORIALS[n]
							lowerCAmelCase     		=		sum(DIGIT_FACTORIALS[let] for let in str(snake_case__							)							)
							lowerCAmelCase     		=		ret
							return ret





def        SCREAMING_SNAKE_CASE_					(						snake_case__       ,  snake_case__ = None							)					->     int:
							lowerCAmelCase     		=		previous or set()
							if n in CHAIN_LENGTH_CACHE:
														return CHAIN_LENGTH_CACHE[n]
							lowerCAmelCase     		=		sum_digit_factorials(snake_case__							)
							if next_number in previous:
														lowerCAmelCase     		=		0
														return 0
							else:
														previous.add(snake_case__							)
														lowerCAmelCase     		=		1 + chain_length(snake_case__       ,  snake_case__							)
														lowerCAmelCase     		=		ret
														return ret





def        SCREAMING_SNAKE_CASE_					(						snake_case__ = 6_0       ,  snake_case__ = 1_0_0_0_0_0_0							)					->     int:
							return sum(1 for i in range(1       ,  snake_case__							) if chain_length(snake_case__							) == num_terms							)


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




lowercase__      :    dict[str, float]          =     {
    "kilogram": 1,
    "gram": pow(1_0, 3),
    "milligram": pow(1_0, 6),
    "metric-ton": pow(1_0, -3),
    "long-ton": 0.0_0_0_9_8_4_2_0_7_3,
    "short-ton": 0.0_0_1_1_0_2_3_1_2_2,
    "pound": 2.2_0_4_6_2_4_4_2_0_2,
    "stone": 0.1_5_7_4_7_3_1_7_2_8,
    "ounce": 3_5.2_7_3_9_9_0_7_2_3,
    "carrat": 5_0_0_0,
    "atomic-mass-unit": 6.0_22_13_66_52e26,
}

lowercase__      :    dict[str, float]          =     {
    "kilogram": 1,
    "gram": pow(1_0, -3),
    "milligram": pow(1_0, -6),
    "metric-ton": pow(1_0, 3),
    "long-ton": 1_0_1_6.0_4_6_0_8,
    "short-ton": 9_0_7.1_8_4,
    "pound": 0.4_5_3_5_9_2,
    "stone": 6.3_5_0_2_9,
    "ounce": 0.0_2_8_3_4_9_5,
    "carrat": 0.0_0_0_2,
    "atomic-mass-unit": 1.6_60_54_01_99e-27,
}

def        SCREAMING_SNAKE_CASE_					(						snake_case__       ,  snake_case__       ,  snake_case__							)					->     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(snake_case__							)}"
														)
														raise ValueError(snake_case__							)
							return value * KILOGRAM_CHART[to_type] * WEIGHT_TYPE_CHART[from_type]


if __name__ == "__main__":
	import doctest

	doctest.testmod()



