



'''simple docstring'''





from collections import namedtuple

A__						:						Tuple          =      namedtuple('''from_to''', '''from_ to''')

A__						:						int          =      {
    '''millimeter''': '''mm''',
    '''centimeter''': '''cm''',
    '''meter''': '''m''',
    '''kilometer''': '''km''',
    '''inch''': '''in''',
    '''inche''': '''in''',  # Trailing 's' has been stripped off
    '''feet''': '''ft''',
    '''foot''': '''ft''',
    '''yard''': '''yd''',
    '''mile''': '''mi''',
}

A__						:						str          =      {
    '''mm''': from_to(0.0_0_1, 1000),
    '''cm''': from_to(0.0_1, 100),
    '''m''': from_to(1, 1),
    '''km''': from_to(1000, 0.0_0_1),
    '''in''': from_to(0.0_2_5_4, 39.3701),
    '''ft''': from_to(0.3_0_4_8, 3.2_8_0_8_4),
    '''yd''': from_to(0.9_1_4_4, 1.0_9_3_6_1),
    '''mi''': from_to(1609.34, 0.0_0_0_6_2_1_3_7_1),
}


def     UpperCamelCase(						__UpperCamelCase							:	float  ,__UpperCamelCase							:	str  ,__UpperCamelCase							:	str				):
		lowerCAmelCase_    :  Optional[int]             =				from_type.lower().rstrip('''s'''				)
		lowerCAmelCase_    :  Optional[int]             =				TYPE_CONVERSION.get(__UpperCamelCase  ,__UpperCamelCase				)
		lowerCAmelCase_    :  Optional[Any]             =				to_type.lower().rstrip('''s'''				)
		lowerCAmelCase_    :  int             =				TYPE_CONVERSION.get(__UpperCamelCase  ,__UpperCamelCase				)
		if new_from not in METRIC_CONVERSION:
				lowerCAmelCase_    :  int             =				(
				    f"""Invalid 'from_type' value: {from_type!r}.\n"""
				    f"""Conversion abbreviations are: {", ".join(__UpperCamelCase				)}"""
				)
				raise ValueError(__UpperCamelCase				)
		if new_to not in METRIC_CONVERSION:
				lowerCAmelCase_    :  Tuple             =				(
				    f"""Invalid 'to_type' value: {to_type!r}.\n"""
				    f"""Conversion abbreviations are: {", ".join(__UpperCamelCase				)}"""
				)
				raise ValueError(__UpperCamelCase				)
		return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
						import doctest

						doctest.testmod()










from __future__ import annotations

A__						:						Tuple          =      '''Alexander Joslin'''


def     UpperCamelCase(						__UpperCamelCase							:	int				):

		if number <= 0:
				lowerCAmelCase_    :  str             =				f"""n must be greater than 0. Got n = {number}"""
				raise ValueError(__UpperCamelCase				)

		lowerCAmelCase_    :  str             =				[number + 1] * (number + 1)

		# starting position
		lowerCAmelCase_    :  List[Any]             =				0
		for i in range(1  ,__UpperCamelCase				):
				lowerCAmelCase_    :  int             =				min(table[i + 1]  ,table[i] + 1				)
				# check if out of bounds
				if i * 2 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 2]  ,table[i] + 1				)
				# check if out of bounds
				if i * 3 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 3]  ,table[i] + 1				)
		return table[number]


if __name__ == "__main__":
						import doctest

						doctest.testmod()





