



"""simple docstring"""


from __future__ import annotations

import math
import random

def 					_lowerCAmelCase (  lowercase_						,      lowercase_						,      lowercase_		):
						UpperCAmelCase			 =					d * e - 1
						UpperCAmelCase			 =					0
						UpperCAmelCase			 =					0
						while p == 0:
												UpperCAmelCase			 =					random.randint(2						,      n - 1		)
												UpperCAmelCase			 =					k
												while True:
																		if t % 2 == 0:
																								UpperCAmelCase			 =					t // 2
																								UpperCAmelCase			 =					(g**t) % n
																								UpperCAmelCase			 =					math.gcd(x - 1						,      lowercase_		)
																								if x > 1 and y > 1:
																														UpperCAmelCase			 =					y
																														UpperCAmelCase			 =					n // y
																														break  # find the correct factors
																		else:
																								break  # t is not divisible by 2, break and choose another g
						return sorted([p, q]		)


if __name__ == "__main__":
				import doctest

				doctest.testmod()










"""simple docstring"""


import shutil

import requests

def 					_lowerCAmelCase (  lowercase_						,      lowercase_ = False						,      lowercase_ = "."		):
						UpperCAmelCase			 =					'https://api.nasa.gov/planetary/apod'
						return requests.get(lowercase_						,      params={'api_key': api_key}		).json()

def 					_lowerCAmelCase (  lowercase_						,      lowercase_ = "."		):
						UpperCAmelCase			 =					get_apod_data(lowercase_		)
						UpperCAmelCase			 =					apod_data['url']
						UpperCAmelCase			 =					img_url.split('/'		)[-1]
						UpperCAmelCase			 =					requests.get(lowercase_						,      stream=lowercase_		)

						with open(F"""{path}/{img_name}"""						,      'wb+'		) as img_file:
												shutil.copyfileobj(response.raw						,      lowercase_		)
						del response
						return apod_data

def 					_lowerCAmelCase (  lowercase_		):
						UpperCAmelCase			 =					'https://images-api.nasa.gov/search'
						return requests.get(lowercase_						,      params={'q': query}		).json()


if __name__ == "__main__":
				print(save_apod("""YOUR API KEY"""))
				snake_case_								=			get_archive_data("""apollo 2011""")["""collection"""]["""items"""]
				print(apollo_aaaa_items[0]["""data"""][0]["""description"""])





