




'''simple docstring'''





import random




def     __magic_name__       (				A	:      int     ):






			'''simple docstring'''







			a					=    num - 1
			a					=    0

			while s % 2 == 0:
						a					=    s // 2
						t += 1

			for _ in range(5     ):
						a					=    random.randrange(2,						num - 1     )
						a					=    pow(A,						A,						A     )
						if v != 1:
									a					=    0
									while v != (num - 1):
												if i == t - 1:
															return False
												else:
															a					=    i + 1
															a					=    (v**2) % num
			return True




def     __magic_name__       (				A	:      int     ):






			'''simple docstring'''







			if num < 2:
						return False

			a					=    [
			    2,
			    3,
			    5,
			    7,
			    11,
			    13,
			    17,
			    19,
			    23,
			    29,
			    31,
			    37,
			    41,
			    43,
			    47,
			    53,
			    59,
			    61,
			    67,
			    71,
			    73,
			    79,
			    83,
			    89,
			    97,
			    101,
			    103,
			    107,
			    109,
			    113,
			    127,
			    131,
			    137,
			    139,
			    149,
			    151,
			    157,
			    163,
			    167,
			    173,
			    179,
			    181,
			    191,
			    193,
			    197,
			    199,
			    211,
			    223,
			    227,
			    229,
			    233,
			    239,
			    241,
			    251,
			    257,
			    263,
			    269,
			    271,
			    277,
			    281,
			    283,
			    293,
			    307,
			    311,
			    313,
			    317,
			    331,
			    337,
			    347,
			    349,
			    353,
			    359,
			    367,
			    373,
			    379,
			    383,
			    389,
			    397,
			    401,
			    409,
			    419,
			    421,
			    431,
			    433,
			    439,
			    443,
			    449,
			    457,
			    461,
			    463,
			    467,
			    479,
			    487,
			    491,
			    499,
			    503,
			    509,
			    521,
			    523,
			    541,
			    547,
			    557,
			    563,
			    569,
			    571,
			    577,
			    587,
			    593,
			    599,
			    601,
			    607,
			    613,
			    617,
			    619,
			    631,
			    641,
			    643,
			    647,
			    653,
			    659,
			    661,
			    673,
			    677,
			    683,
			    691,
			    701,
			    709,
			    719,
			    727,
			    733,
			    739,
			    743,
			    751,
			    757,
			    761,
			    769,
			    773,
			    787,
			    797,
			    809,
			    811,
			    821,
			    823,
			    827,
			    829,
			    839,
			    853,
			    857,
			    859,
			    863,
			    877,
			    881,
			    883,
			    887,
			    907,
			    911,
			    919,
			    929,
			    937,
			    941,
			    947,
			    953,
			    967,
			    971,
			    977,
			    983,
			    991,
			    997,
			]

			if num in low_primes:
						return True

			for prime in low_primes:
						if (num % prime) == 0:
									return False

			return rabin_miller(A     )




def     __magic_name__       (				A	:      int = 1024     ):






			'''simple docstring'''







			while True:
						a					=    random.randrange(2 ** (keysize - 1),						2 ** (keysize)     )
						if is_prime_low_num(A     ):
									return num


if __name__ == "__main__":
		__lowerCAmelCase	:       Any     =	generate_large_prime()
		print(('Prime number:', num))
		print(('is_prime_low_num:', is_prime_low_num(num)))












def     __magic_name__       (				A	:      str,						A	:      str     ):






			'''simple docstring'''







			def get_matched_characters(A	:      str,						A	:      str     ) -> str:
						a					=    []
						a					=    min(len(_stra     ),						len(_stra     )     ) // 2
						for i, l in enumerate(_stra     ):
									a					=    int(max(0,						i - limit     )     )
									a					=    int(min(i + limit + 1,						len(_stra     )     )     )
									if l in _stra[left:right]:
												matched.append(A     )
												a					=    F"""{_stra[0:_stra.index(A     )]} {_stra[_stra.index(A     ) + 1:]}"""

						return "".join(A     )

			# matching characters
			a					=    get_matched_characters(A,						A     )
			a					=    get_matched_characters(A,						A     )
			a					=    len(A     )

			# transposition
			a					=    (
			    len([(ca, ca) for ca, ca in zip(A,						A     ) if ca != ca]     ) // 2
			)

			if not match_count:
						a					=    0.0
			else:
						a					=    (
						    1
						    / 3
						    * (
						        match_count / len(A     )
						        + match_count / len(A     )
						        + (match_count - transpositions) / match_count
						    )
						)

			# common prefix up to 4 characters
			a					=    0
			for ca, ca in zip(stra[:4],						stra[:4]     ):
						if ca == ca:
									prefix_len += 1
						else:
									break

			return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(jaro_winkler('hello', 'world'))






