






from math import sqrt





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (
         number >= 0
     ), "'number' must been an int and positive"

     __lowerCAmelCase             =       True

     # 0 and 1 are none primes.
     if number <= 1:
          __lowerCAmelCase             =       False

     for divisor in range(2       ,			int(round(sqrt(A__							)							)							) + 1							):
          # if 'number' divisible by 'divisor' then sets 'status'
          # of false and break up the loop.
          if number % divisor == 0:
               __lowerCAmelCase             =       False
               break

    # precondition
     assert isinstance(A__       ,			A__							), "'status' must been from type bool"

     return status





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n > 2), "'N' must been an int and > 2"

     # beginList: contains all natural numbers from 2 up to N
     __lowerCAmelCase             =       list(range(2       ,			n + 1							)							)

     __lowerCAmelCase             =       []  # this list will be returns.

     # actual sieve of erathostenes
     for i in range(len(A__							)							):
          for j in range(i + 1       ,			len(A__							)							):
               if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
                    __lowerCAmelCase             =       0

    # filters actual prime numbers.
     __lowerCAmelCase             =       [x for x in begin_list if x != 0]

     # precondition
     assert isinstance(A__       ,			A__							), "'ans' must been from type list"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n > 2), "'N' must been an int and > 2"

     __lowerCAmelCase             =       []

     # iterates over all numbers between 2 up to N+1
     # if a number is prime then appends to list 'ans'
     for number in range(2       ,			n + 1							):
          if is_prime(A__							):
               ans.append(A__							)

    # precondition
     assert isinstance(A__       ,			A__							), "'ans' must been from type list"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and number >= 0, "'number' must been an int and >= 0"

     __lowerCAmelCase             =       []  # this list will be returns of the function.

     # potential prime number factors.

     __lowerCAmelCase             =       2

     __lowerCAmelCase             =       number

     if number == 0 or number == 1:
          ans.append(A__							)

     # if 'number' not prime then builds the prime factorization of 'number'
     elif not is_prime(A__							):
          while quotient != 1:
               if is_prime(A__							) and (quotient % factor == 0):
                    ans.append(A__							)
                    quotient /= factor
               else:
                    factor += 1

     else:
          ans.append(A__							)

     # precondition
     assert isinstance(A__       ,			A__							), "'ans' must been from type list"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (
         number >= 0
     ), "'number' bust been an int and >= 0"

     __lowerCAmelCase             =       0

     # prime factorization of 'number'
     __lowerCAmelCase             =       prime_factorization(A__							)

     __lowerCAmelCase             =       max(A__							)

     # precondition
     assert isinstance(A__       ,			A__							), "'ans' must been from type int"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (
         number >= 0
     ), "'number' bust been an int and >= 0"

     __lowerCAmelCase             =       0

     # prime factorization of 'number'
     __lowerCAmelCase             =       prime_factorization(A__							)

     __lowerCAmelCase             =       min(A__							)

     # precondition
     assert isinstance(A__       ,			A__							), "'ans' must been from type int"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							), "'number' must been an int"
     assert isinstance(number % 2 == 0       ,			A__							), "compare bust been from type bool"

     return number % 2 == 0





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							), "'number' must been an int"
     assert isinstance(number % 2 != 0       ,			A__							), "compare bust been from type bool"

     return number % 2 != 0





def    __lowerCAmelCase   (    __snake_case							):
     assert (
         isinstance(A__       ,			A__							) and (number > 2) and is_even(A__							)
     ), "'number' must been an int, even and > 2"

     __lowerCAmelCase             =       []  # this list will returned

     # creates a list of prime numbers between 2 up to 'number'
     __lowerCAmelCase             =       get_prime_numbers(A__							)
     __lowerCAmelCase             =       len(A__							)

     # run variable for while-loops.
     __lowerCAmelCase             =       0
     __lowerCAmelCase             =       None

     # exit variable. for break up the loops
     __lowerCAmelCase             =       True

     while i < len_pn and loop:
          __lowerCAmelCase             =       i + 1

          while j < len_pn and loop:
               if prime_numbers[i] + prime_numbers[j] == number:
                    __lowerCAmelCase             =       False
                    ans.append(prime_numbers[i]							)
                    ans.append(prime_numbers[j]							)

               j += 1

          i += 1

     # precondition
     assert (
         isinstance(A__       ,			A__							)
         and (len(A__							) == 2)
         and (ans[0] + ans[1] == number)
         and is_prime(ans[0]							)
         and is_prime(ans[1]							)
     ), "'ans' must contains two primes. And sum of elements must been eq 'number'"

     return ans





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case							):
     assert (
         isinstance(A__       ,			A__							)
         and isinstance(A__       ,			A__							)
         and (numbera >= 0)
         and (numbera >= 0)
     ), "'number1' and 'number2' must been positive integer."

     __lowerCAmelCase             =       0

     while numbera != 0:
          __lowerCAmelCase             =       numbera % numbera
          __lowerCAmelCase             =       numbera
          __lowerCAmelCase             =       rest

     # precondition
     assert isinstance(A__       ,			A__							) and (
         numbera >= 0
     ), "'number' must been from type int and positive"

     return numbera





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case							):
     assert (
         isinstance(A__       ,			A__							)
         and isinstance(A__       ,			A__							)
         and (numbera >= 1)
         and (numbera >= 1)
     ), "'number1' and 'number2' must been positive integer."

     __lowerCAmelCase             =       1  # actual answer that will be return.

     # for kgV (x,1)
     if numbera > 1 and numbera > 1:
          # builds the prime factorization of 'number1' and 'number2'
          __lowerCAmelCase             =       prime_factorization(A__							)
          __lowerCAmelCase             =       prime_factorization(A__							)

     elif numbera == 1 or numbera == 1:
          __lowerCAmelCase             =       []
          __lowerCAmelCase             =       []
          __lowerCAmelCase             =       max(A__       ,			A__							)

     __lowerCAmelCase             =       0
     __lowerCAmelCase             =       0

     __lowerCAmelCase             =       []  # captured numbers int both 'primeFac1' and 'primeFac2'

     # iterates through primeFac1
     for n in prime_fac_a:
          if n not in done:
               if n in prime_fac_a:
                    __lowerCAmelCase             =       prime_fac_a.count(A__							)
                    __lowerCAmelCase             =       prime_fac_a.count(A__							)

                    for _ in range(max(A__       ,			A__							)							):
                         ans *= n

               else:
                    __lowerCAmelCase             =       prime_fac_a.count(A__							)

                    for _ in range(A__							):
                         ans *= n

               done.append(A__							)

    # iterates through primeFac2
     for n in prime_fac_a:
          if n not in done:
               __lowerCAmelCase             =       prime_fac_a.count(A__							)

               for _ in range(A__							):
                    ans *= n

               done.append(A__							)

    # precondition
     assert isinstance(A__       ,			A__							) and (
         ans >= 0
     ), "'ans' must been from type int and positive"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n >= 0), "'number' must been a positive int"

     __lowerCAmelCase             =       0
     __lowerCAmelCase             =       2  # this variable holds the answer

     while index < n:
          index += 1

          ans += 1  # counts to the next number

          # if ans not prime then
          # runs to the next prime number.
          while not is_prime(A__							):
               ans += 1

    # precondition
     assert isinstance(A__       ,			A__							) and is_prime(
         A__							), "'ans' must been a prime number and from type int"

     return ans





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case							):
     assert (
         is_prime(A__							) and is_prime(A__							) and (p_number_a < p_number_a)
     ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

     __lowerCAmelCase             =       p_number_a + 1  # jump to the next number

     __lowerCAmelCase             =       []  # this list will be returns.

     # if number is not prime then
     # fetch the next prime number.
     while not is_prime(A__							):
          number += 1

     while number < p_number_a:
          ans.append(A__							)

          number += 1

          # fetch the next prime number.
          while not is_prime(A__							):
               number += 1

    # precondition
     assert (
         isinstance(A__       ,			A__							)
         and ans[0] != p_number_a
         and ans[len(A__							) - 1] != p_number_a
     ), "'ans' must been a list without the arguments"

     # 'ans' contains not 'pNumber1' and 'pNumber2' !
     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n >= 1), "'n' must been int and >= 1"

     __lowerCAmelCase             =       []  # will be returned.

     for divisor in range(1       ,			n + 1							):
          if n % divisor == 0:
               ans.append(A__							)

    # precondition
     assert ans[0] == 1 and ans[len(A__							) - 1] == n, "Error in function getDivisiors(...)"

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (
         number > 1
     ), "'number' must been an int and >= 1"

     __lowerCAmelCase             =       get_divisors(A__							)

     # precondition
     assert (
         isinstance(A__       ,			A__							)
         and (divisors[0] == 1)
         and (divisors[len(A__							) - 1] == number)
     ), "Error in help-function getDivisiors(...)"

     # summed all divisors up to 'number' (exclusive), hence [:-1]
     return sum(divisors[:-1]							) == number





def    __lowerCAmelCase   (    __snake_case       ,			__snake_case							):
     assert (
         isinstance(A__       ,			A__							)
         and isinstance(A__       ,			A__							)
         and (denominator != 0)
     ), "The arguments must been from type int and 'denominator' != 0"

     # build the greatest common divisor of numerator and denominator.
     __lowerCAmelCase             =       gcd(abs(A__							)       ,			abs(A__							)							)

     # precondition
     assert (
         isinstance(A__       ,			A__							)
         and (numerator % gcd_of_fraction == 0)
         and (denominator % gcd_of_fraction == 0)
     ), "Error in function gcd(...,...)"

     return (numerator // gcd_of_fraction, denominator // gcd_of_fraction)





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n >= 0), "'n' must been a int and >= 0"

     __lowerCAmelCase             =       1  # this will be return.

     for factor in range(1       ,			n + 1							):
          ans *= factor

     return ans





def    __lowerCAmelCase   (    __snake_case							):
     assert isinstance(A__       ,			A__							) and (n >= 0), "'n' must been an int and >= 0"

     __lowerCAmelCase             =       0
     __lowerCAmelCase             =       1
     __lowerCAmelCase             =       1  # this will be return

     for _ in range(n - 1							):
          __lowerCAmelCase             =       ans
          ans += fiba
          __lowerCAmelCase             =       tmp

     return ans











import os
import unittest

from transformers.models.cpmant.tokenization_cpmant import VOCAB_FILES_NAMES, CpmAntTokenizer
from transformers.testing_utils import require_jieba, tooslow

from ...test_tokenization_common import TokenizerTesterMixin



@require_jieba
class    UpperCAmelCase__(				lowerCamelCase  ,				unittest.TestCase						):

   '''simple docstring'''




   A     :	Optional[int]												=     CpmAntTokenizer
   A     :	Optional[int]												=     False


   def       UpperCAmelCase		(    self	:      List[str])						->					str:




         """simple docstring"""

         super().setUp()

         lowercase__  =	[
             '<d>',
             '</d>',
             '<s>',
             '</s>',
             '</_>',
             '<unk>',
             '<pad>',
             '</n>',
             '我',
             '是',
             'C',
             'P',
             'M',
             'A',
             'n',
             't',
         ]
         lowercase__  =	os.path.join(self.tmpdirname      ,					VOCAB_FILES_NAMES['vocab_file'])
         with open(self.vocab_file      ,					'w'      ,					encoding='utf-8') as vocab_writer:
               vocab_writer.write(''.join([x + '\n' for x in vocab_tokens]))



   @tooslow
   def       UpperCAmelCase		(    self	:      str)						->					Optional[Any]:




         """simple docstring"""

         lowercase__  =	CpmAntTokenizer.from_pretrained('openbmb/cpm-ant-10b')
         lowercase__  =	'今天天气真好！'
         lowercase__  =	['今天', '天气', '真', '好', '！']
         lowercase__  =	tokenizer.tokenize(lowerCAmelCase)
         self.assertListEqual(lowerCAmelCase      ,					lowerCAmelCase)
         lowercase__  =	'今天天气真好！'
         lowercase__  =	[tokenizer.bos_token] + tokens

         lowercase__  =	[6, 98_02, 1_49_62, 20_82, 8_31, 2_44]
         self.assertListEqual(tokenizer.convert_tokens_to_ids(lowerCAmelCase)      ,					lowerCAmelCase)

         lowercase__  =	tokenizer.decode(lowerCAmelCase)
         self.assertEqual(lowerCAmelCase      ,					lowerCAmelCase)
