"""simple docstring"""




from math import sqrt






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							True

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

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

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

							return status






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

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

							A__	     =							[]  # this list will be returns.

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

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

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							[]

							# 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(UpperCamelCase__				):
																					ans.append(UpperCamelCase__				)

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

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

							# potential prime number factors.

							A__	     =							2

							A__	     =							number

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

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

							else:
														ans.append(UpperCamelCase__				)

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							0

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

							A__	     =							max(UpperCamelCase__				)

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							0

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

							A__	     =							min(UpperCamelCase__				)

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





							assert isinstance(UpperCamelCase__       ,    UpperCamelCase__				), "'number' must been an int"
							assert isinstance(number % 2 == 0       ,    UpperCamelCase__				), "compare bust been from type bool"

							return number % 2 == 0






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





							assert isinstance(UpperCamelCase__       ,    UpperCamelCase__				), "'number' must been an int"
							assert isinstance(number % 2 != 0       ,    UpperCamelCase__				), "compare bust been from type bool"

							return number % 2 != 0






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							[]  # this list will returned

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

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

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

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

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

																					j += 1

														i += 1

							# precondition
							assert (
							    isinstance(UpperCamelCase__       ,    UpperCamelCase__				)
							    and (len(UpperCamelCase__				) == 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   UpperCAmelCase					(	UpperCamelCase__       ,    UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							0

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

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

							return numbera






def   UpperCAmelCase					(	UpperCamelCase__       ,    UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							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'
														A__	     =							prime_factorization(UpperCamelCase__				)
														A__	     =							prime_factorization(UpperCamelCase__				)

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

							A__	     =							0
							A__	     =							0

							A__	     =							[]  # 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:
																												A__	     =							prime_fac_a.count(UpperCamelCase__				)
																												A__	     =							prime_fac_a.count(UpperCamelCase__				)

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

																					else:
																												A__	     =							prime_fac_a.count(UpperCamelCase__				)

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

																					done.append(UpperCamelCase__				)

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

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

																					done.append(UpperCamelCase__				)

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							0
							A__	     =							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(UpperCamelCase__				):
																					ans += 1

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__       ,    UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							p_number_a + 1  # jump to the next number

							A__	     =							[]  # this list will be returns.

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

							while number < p_number_a:
														ans.append(UpperCamelCase__				)

														number += 1

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

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

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






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							[]  # will be returned.

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

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							get_divisors(UpperCamelCase__				)

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

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






def   UpperCAmelCase					(	UpperCamelCase__       ,    UpperCamelCase__				):






							"""simple docstring"""





							assert (
							    isinstance(UpperCamelCase__       ,    UpperCamelCase__				)
							    and isinstance(UpperCamelCase__       ,    UpperCamelCase__				)
							    and (denominator != 0)
							), "The arguments must been from type int and 'denominator' != 0"

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

							# precondition
							assert (
							    isinstance(UpperCamelCase__       ,    UpperCamelCase__				)
							    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   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

							A__	     =							1  # this will be return.

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

							return ans






def   UpperCAmelCase					(	UpperCamelCase__				):






							"""simple docstring"""





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

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

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

							return ans






"""simple docstring"""




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


__lowerCamelCase											=  {"configuration_glpn": ["GLPN_PRETRAINED_CONFIG_ARCHIVE_MAP", "GLPNConfig"]}

try:
				if not is_vision_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				__lowerCamelCase											=  ["GLPNFeatureExtractor"]
				__lowerCamelCase											=  ["GLPNImageProcessor"]

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				__lowerCamelCase											=  [
				    "GLPN_PRETRAINED_MODEL_ARCHIVE_LIST",
				    "GLPNForDepthEstimation",
				    "GLPNLayer",
				    "GLPNModel",
				    "GLPNPreTrainedModel",
				]


if TYPE_CHECKING:
				from .configuration_glpn import GLPN_PRETRAINED_CONFIG_ARCHIVE_MAP, GLPNConfig

				try:
								if not is_vision_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .feature_extraction_glpn import GLPNFeatureExtractor
								from .image_processing_glpn import GLPNImageProcessor

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_glpn import (
								    GLPN_PRETRAINED_MODEL_ARCHIVE_LIST,
								    GLPNForDepthEstimation,
								    GLPNLayer,
								    GLPNModel,
								    GLPNPreTrainedModel,
								)


else:
				import sys

				__lowerCamelCase											=  _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





