






from collections import namedtuple

UpperCAmelCase__			 =	namedtuple('''from_to''', '''from_ to''')

UpperCAmelCase__			 =	{
    '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',
}

UpperCAmelCase__			 =	{
    'mm': from_to(0.001, 1000),
    'cm': from_to(0.01, 100),
    'm': from_to(1, 1),
    'km': from_to(1000, 0.001),
    'in': from_to(0.0_254, 39.3_701),
    'ft': from_to(0.3_048, 3.28_084),
    'yd': from_to(0.9_144, 1.09_361),
    'mi': from_to(1609.34, 0.000_621_371),
}







def 						a_      (__A							,					__A							,					__A			)							->	List[Any]:



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


if __name__ == "__main__":
			import doctest

			doctest.testmod()












import math







def 						a_      (__A			)							->	bool:



					"""simple docstring"""

					if 1 < number < 4:
										# 2 and 3 are primes
										return True
					elif number < 2 or number % 2 == 0 or number % 3 == 0:
										# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
										return False

					# All primes number are in format of 6k +/- 1
					for i in range(5							,					int(math.sqrt(__A			) + 1			)							,					6			):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True







def 						a_      (__A = 1_000							,					__A = 1_000			)							->	int:



					"""simple docstring"""
					__a				:	Optional[int]			=				[0, 0, 0]  # length, a, b
					for a in range((a_limit * -1) + 1							,					__A			):
										for b in range(2							,					__A			):
															if is_prime(__A			):
																				__a				:	Any			=				0
																				__a				:	List[str]			=				0
																				while is_prime((n**2) + (a * n) + b			):
																									count += 1
																									n += 1
																				if count > longest[0]:
																									__a				:	Any			=				[count, a, b]
					__a				:	str			=				longest[1] * longest[2]
					return ans


if __name__ == "__main__":
			print(solution(1000, 1000))





