

"""simple docstring"""




from __future__ import annotations

import math
from itertools import permutations



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							Any )     -> str:




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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							List[Any] = 7 )     -> Optional[int]:




				'''simple docstring'''





				A__            =     "".join(str(SCREAMING_SNAKE_CASE_ ) for i in range(1		,    n + 1 ) )
				A__            =     [int("".join(SCREAMING_SNAKE_CASE_ ) ) for i in permutations(SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_ )]
				A__            =     [num for num in perm_list if is_prime(SCREAMING_SNAKE_CASE_ )]
				return max(SCREAMING_SNAKE_CASE_ ) if pandigitals else 0


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




import unittest

from cer import CER


lowerCAmelCase__						=	CER()

class    a__  (   unittest.TestCase     ):
			"""simple docstring"""







			def        UpperCamelCase						(      self    )					->  Tuple:
							'''simple docstring'''






							A__            =     ["White House"]
							A__            =     ["white house"]
							# S = 2, D = 0, I = 0, N = 11, CER = 2 / 11
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.18_1818_1818    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  Any:
							'''simple docstring'''






							A__            =     ["were wolf"]
							A__            =     ["werewolf"]
							# S = 0, D = 0, I = 1, N = 9, CER = 1 / 9
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.111_1111    ) < 1e-6    )

							A__            =     ["werewolf"]
							A__            =     ["weae     wolf"]
							# S = 1, D = 1, I = 0, N = 8, CER = 0.25
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.25    ) < 1e-6    )

							# consecutive whitespaces case 1
							A__            =     ["were wolf"]
							A__            =     ["were               wolf"]
							# S = 0, D = 0, I = 0, N = 9, CER = 0
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.0    ) < 1e-6    )

							# consecutive whitespaces case 2
							A__            =     ["were   wolf"]
							A__            =     ["were               wolf"]
							# S = 0, D = 0, I = 0, N = 9, CER = 0
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.0    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  str:
							'''simple docstring'''






							A__            =     ["werewolf"]
							A__            =     ["weaewolf"]
							# S = 1, D = 0, I = 0, N = 8, CER = 0.125
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.125    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  Tuple:
							'''simple docstring'''






							A__            =     ["werewolf"]
							A__            =     ["wereawolf"]
							# S = 0, D = 1, I = 0, N = 8, CER = 0.125
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.125    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  str:
							'''simple docstring'''






							A__            =     ["werewolf"]
							A__            =     ["wereolf"]
							# S = 0, D = 0, I = 1, N = 8, CER = 0.125
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.125    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  str:
							'''simple docstring'''






							A__            =     ["werewolf"]
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertEqual(lowercase , 0.0    )


			def        UpperCamelCase						(      self    )					->  Any:
							'''simple docstring'''






							A__            =     ["werewolf", "I am your father"]
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertEqual(lowercase , 0.0    )

							A__            =     ["werewolf", "I am your father", "doge"]
							A__            =     ["werxwolf", "I       am your father", "doge"]
							# S = 1, D = 0, I = 0, N = 28, CER = 1 / 28
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.0357_1428    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  str:
							'''simple docstring'''






							A__            =     ["My hovercraft", "is full of eels"]
							A__            =     ["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__            =     cer.compute(predictions=lowercase , references=lowercase , concatenate_texts=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.07_1428    ) < 1e-6    )


			def        UpperCamelCase						(      self    )					->  List[str]:
							'''simple docstring'''






							A__            =     ["我能吞下玻璃而不伤身体"]
							A__            =     [" 能吞虾玻璃而 不霜身体啦"]
							# S = 3, D = 2, I = 0, N = 11, CER = 5 / 11
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.45_4545_4545    ) < 1e-6    )

							A__            =     ["我能吞下玻璃", "而不伤身体"]
							A__            =     ["我    能 吞 下 玻 璃", "而不伤身体"]
							# S = 0, D = 5, I = 0, N = 11, CER = 5 / 11
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertTrue(abs(char_error_rate - 0.4545_4545_4545    ) < 1e-6    )

							A__            =     ["我能吞下玻璃而不伤身体"]
							A__            =     cer.compute(predictions=lowercase , references=lowercase    )
							self.assertFalse(lowercase , 0.0    )


			def        UpperCamelCase						(      self    )					->  Optional[Any]:
							'''simple docstring'''






							A__            =     [""]
							A__            =     ["Hypothesis"]
							with self.assertRaises(lowercase    ):
											cer.compute(predictions=lowercase , references=lowercase    )


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

