

from math import sqrt







def 						lowerCamelCase__      ( __A    :int		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (
           number >= 0
       ), "'number' must been an int and positive"

       __snake_case       	=							True

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

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

       return status







def 						lowerCamelCase__      ( __A    :Union[str, Any]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n > 2), "'N' must been an int and > 2"

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

       __snake_case       	=							[]  # 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):
                            __snake_case       	=							0

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

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

       return ans







def 						lowerCamelCase__      ( __A    :Optional[int]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n > 2), "'N' must been an int and > 2"

       __snake_case       	=							[]

       # 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__      ( __A    :Dict		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and number >= 0, "'number' must been an int and >= 0"

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

       # potential prime number factors.

       __snake_case       	=							2

       __snake_case       	=							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__      ( __A    :Any		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (
           number >= 0
       ), "'number' bust been an int and >= 0"

       __snake_case       	=							0

       # prime factorization of 'number'
       __snake_case       	=							prime_factorization(__A		)

       __snake_case       	=							max(__A		)

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

       return ans







def 						lowerCamelCase__      ( __A    :Dict		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (
           number >= 0
       ), "'number' bust been an int and >= 0"

       __snake_case       	=							0

       # prime factorization of 'number'
       __snake_case       	=							prime_factorization(__A		)

       __snake_case       	=							min(__A		)

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

       return ans







def 						lowerCamelCase__      ( __A    :Union[str, Any]		):


       """simple docstring"""




       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__      ( __A    :Optional[Any]		):


       """simple docstring"""




       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__      ( __A    :int		):


       """simple docstring"""




       assert (
           isinstance(__A	,__A		) and (number > 2) and is_even(__A		)
       ), "'number' must been an int, even and > 2"

       __snake_case       	=							[]  # this list will returned

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

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

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

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

              while j < len_pn and loop:
                     if prime_numbers[i] + prime_numbers[j] == number:
                            __snake_case       	=							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__      ( __A    :Optional[int]	,__A    :Tuple		):


       """simple docstring"""




       assert (
           isinstance(__A	,__A		)
           and isinstance(__A	,__A		)
           and (numbera >= 0)
           and (numbera >= 0)
       ), "'number1' and 'number2' must been positive integer."

       __snake_case       	=							0

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

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

       return numbera







def 						lowerCamelCase__      ( __A    :List[str]	,__A    :List[Any]		):


       """simple docstring"""




       assert (
           isinstance(__A	,__A		)
           and isinstance(__A	,__A		)
           and (numbera >= 1)
           and (numbera >= 1)
       ), "'number1' and 'number2' must been positive integer."

       __snake_case       	=							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'
              __snake_case       	=							prime_factorization(__A		)
              __snake_case       	=							prime_factorization(__A		)

       elif numbera == 1 or numbera == 1:
              __snake_case       	=							[]
              __snake_case       	=							[]
              __snake_case       	=							max(__A	,__A		)

       __snake_case       	=							0
       __snake_case       	=							0

       __snake_case       	=							[]  # 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:
                            __snake_case       	=							prime_fac_a.count(__A		)
                            __snake_case       	=							prime_fac_a.count(__A		)

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

                     else:
                            __snake_case       	=							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:
                     __snake_case       	=							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__      ( __A    :List[Any]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n >= 0), "'number' must been a positive int"

       __snake_case       	=							0
       __snake_case       	=							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__      ( __A    :Optional[Any]	,__A    :Union[str, Any]		):


       """simple docstring"""




       assert (
           is_prime(__A		) and is_prime(__A		) and (p_number_a < p_number_a)
       ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

       __snake_case       	=							p_number_a + 1  # jump to the next number

       __snake_case       	=							[]  # 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__      ( __A    :Optional[int]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n >= 1), "'n' must been int and >= 1"

       __snake_case       	=							[]  # 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__      ( __A    :Optional[Any]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (
           number > 1
       ), "'number' must been an int and >= 1"

       __snake_case       	=							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__      ( __A    :List[Any]	,__A    :Tuple		):


       """simple docstring"""




       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.
       __snake_case       	=							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__      ( __A    :Tuple		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n >= 0), "'n' must been a int and >= 0"

       __snake_case       	=							1  # this will be return.

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

       return ans







def 						lowerCamelCase__      ( __A    :Union[str, Any]		):


       """simple docstring"""




       assert isinstance(__A	,__A		) and (n >= 0), "'n' must been an int and >= 0"

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

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

       return ans




import warnings

from ...utils import logging
from .image_processing_yolos import YolosImageProcessor


UpperCamelCase__		 =     logging.get_logger(__name__)

class     __snake_case    (				snake_case__  ):
       """simple docstring"""







       def __init__(		self      , *_UpperCamelCase      , **_UpperCamelCase   )      ->							None:






              """simple docstring"""


              warnings.warn(
                  """The class YolosFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
                  """ use YolosImageProcessor instead."""      , _UpperCamelCase      , )
              super().__init__(*_UpperCamelCase      , **_UpperCamelCase   )

