
'''simple docstring'''







from __future__ import annotations

import math
from itertools import permutations

def 				_snake_case (		lowercase						)       ->       bool:

				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(lowercase						) + 1						)			,    6						):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True

def 				_snake_case (		lowercase = 7						)       ->       int:
				__a       :     str								=	"""""".join(str(lowercase						) for i in range(1			,    n + 1						)						)
				__a       :     List[Any]								=	[int("""""".join(lowercase						)						) for i in permutations(lowercase			,    lowercase						)]
				__a       :     Tuple								=	[num for num in perm_list if is_prime(lowercase						)]
				return max(lowercase						) if pandigitals else 0


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

'''simple docstring'''







import unittest

from cer import CER


__SCREAMING_SNAKE_CASE		:  List[str]        =      CER()
class  SCREAMING_SNAKE_CASE__       (  unittest.TestCase   ):
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     Optional[Any]								=	["""White House"""]
					__a       :     Tuple								=	["""white house"""]
					# S = 2, D = 0, I = 0, N = 11, CER = 2 / 11
					__a       :     Any								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.1_8_1_8_1_8_1_8_1_8			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     Optional[int]								=	["""were wolf"""]
					__a       :     Tuple								=	["""werewolf"""]
					# S = 0, D = 0, I = 1, N = 9, CER = 1 / 9
					__a       :     Any								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.1_1_1_1_1_1_1			) < 1E-6			)

					__a       :     str								=	["""werewolf"""]
					__a       :     List[Any]								=	["""weae     wolf"""]
					# S = 1, D = 1, I = 0, N = 8, CER = 0.25
					__a       :     Tuple								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.2_5			) < 1E-6			)

					# consecutive whitespaces case 1
					__a       :     int								=	["""were wolf"""]
					__a       :     Dict								=	["""were               wolf"""]
					# S = 0, D = 0, I = 0, N = 9, CER = 0
					__a       :     str								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.0			) < 1E-6			)

					# consecutive whitespaces case 2
					__a       :     List[str]								=	["""were   wolf"""]
					__a       :     Optional[int]								=	["""were               wolf"""]
					# S = 0, D = 0, I = 0, N = 9, CER = 0
					__a       :     Optional[Any]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.0			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     Dict								=	["""werewolf"""]
					__a       :     str								=	["""weaewolf"""]
					# S = 1, D = 0, I = 0, N = 8, CER = 0.125
					__a       :     Optional[int]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.1_2_5			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     List[str]								=	["""werewolf"""]
					__a       :     Tuple								=	["""wereawolf"""]
					# S = 0, D = 1, I = 0, N = 8, CER = 0.125
					__a       :     Optional[Any]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.1_2_5			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     List[str]								=	["""werewolf"""]
					__a       :     Optional[Any]								=	["""wereolf"""]
					# S = 0, D = 0, I = 1, N = 8, CER = 0.125
					__a       :     int								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.1_2_5			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     Dict								=	["""werewolf"""]
					__a       :     Tuple								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertEqual(__UpperCamelCase  ,    0.0			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     List[str]								=	["""werewolf""", """I am your father"""]
					__a       :     int								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertEqual(__UpperCamelCase  ,    0.0			)

					__a       :     Dict								=	["""werewolf""", """I am your father""", """doge"""]
					__a       :     Optional[Any]								=	["""werxwolf""", """I       am your father""", """doge"""]
					# S = 1, D = 0, I = 0, N = 28, CER = 1 / 28
					__a       :     Union[str, Any]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.0_3_5_7_1_4_2_8			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     List[str]								=	["""My hovercraft""", """is full of eels"""]
					__a       :     Union[str, Any]								=	["""My hovercraft is full""", """ of eels"""]
					# S = 0, D = 0, I = 2, N = 28, CER = 2 / 28
					# whitespace at the front of " of eels" will be strip during preporcessing
					# so need to insert 2 whitespaces
					__a       :     str								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase  ,    concatenate_texts=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.0_7_1_4_2_8			) < 1E-6			)
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     int								=	["""我能吞下玻璃而不伤身体"""]
					__a       :     Optional[Any]								=	[""" 能吞虾玻璃而 不霜身体啦"""]
					# S = 3, D = 2, I = 0, N = 11, CER = 5 / 11
					__a       :     List[Any]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.4_5_4_5_4_5_4_5_4_5			) < 1E-6			)

					__a       :     Union[str, Any]								=	["""我能吞下玻璃""", """而不伤身体"""]
					__a       :     Optional[Any]								=	["""我    能 吞 下 玻 璃""", """而不伤身体"""]
					# S = 0, D = 5, I = 0, N = 11, CER = 5 / 11
					__a       :     List[str]								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertTrue(abs(char_error_rate - 0.4_5_4_5_4_5_4_5_4_5_4_5			) < 1E-6			)

					__a       :     Union[str, Any]								=	["""我能吞下玻璃而不伤身体"""]
					__a       :     Dict								=	cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)
					self.assertFalse(__UpperCamelCase  ,    0.0			)

	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					__a       :     List[Any]								=	[""""""]
					__a       :     Dict								=	["""Hypothesis"""]
					with self.assertRaises(__UpperCamelCase			):
									cer.compute(predictions=__UpperCamelCase  ,    references=__UpperCamelCase			)


if __name__ == "__main__":
					unittest.main()