

'''simple docstring'''


import random







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase  )    ->    bool:
	UpperCAmelCase_		:      Optional[Any]       	=					num - 1
	UpperCAmelCase_		:      str       	=					0

	while s % 2 == 0:
		UpperCAmelCase_		:      Union[str, Any]       	=					s // 2
		t += 1

	for _ in range(5  ):
		UpperCAmelCase_		:      Any       	=					random.randrange(2   ,num - 1  )
		UpperCAmelCase_		:      Optional[int]       	=					pow(a_   ,a_   ,a_  )
		if v != 1:
			UpperCAmelCase_		:      Union[str, Any]       	=					0
			while v != (num - 1):
				if i == t - 1:
					return False
				else:
					UpperCAmelCase_		:      int       	=					i + 1
					UpperCAmelCase_		:      int       	=					(v**2) % num
	return True







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase  )    ->    bool:






	if num < 2:
		return False

	UpperCAmelCase_		:      List[str]       	=					[
	    2,
	    3,
	    5,
	    7,
	    1_1,
	    1_3,
	    1_7,
	    1_9,
	    2_3,
	    2_9,
	    3_1,
	    3_7,
	    4_1,
	    4_3,
	    4_7,
	    5_3,
	    5_9,
	    6_1,
	    6_7,
	    7_1,
	    7_3,
	    7_9,
	    8_3,
	    8_9,
	    9_7,
	    1_0_1,
	    1_0_3,
	    1_0_7,
	    1_0_9,
	    1_1_3,
	    1_2_7,
	    1_3_1,
	    1_3_7,
	    1_3_9,
	    1_4_9,
	    1_5_1,
	    1_5_7,
	    1_6_3,
	    1_6_7,
	    1_7_3,
	    1_7_9,
	    1_8_1,
	    1_9_1,
	    1_9_3,
	    1_9_7,
	    1_9_9,
	    2_1_1,
	    2_2_3,
	    2_2_7,
	    2_2_9,
	    2_3_3,
	    2_3_9,
	    2_4_1,
	    2_5_1,
	    2_5_7,
	    2_6_3,
	    2_6_9,
	    2_7_1,
	    2_7_7,
	    2_8_1,
	    2_8_3,
	    2_9_3,
	    3_0_7,
	    3_1_1,
	    3_1_3,
	    3_1_7,
	    3_3_1,
	    3_3_7,
	    3_4_7,
	    3_4_9,
	    3_5_3,
	    3_5_9,
	    3_6_7,
	    3_7_3,
	    3_7_9,
	    3_8_3,
	    3_8_9,
	    3_9_7,
	    4_0_1,
	    4_0_9,
	    4_1_9,
	    4_2_1,
	    4_3_1,
	    4_3_3,
	    4_3_9,
	    4_4_3,
	    4_4_9,
	    4_5_7,
	    4_6_1,
	    4_6_3,
	    4_6_7,
	    4_7_9,
	    4_8_7,
	    4_9_1,
	    4_9_9,
	    5_0_3,
	    5_0_9,
	    5_2_1,
	    5_2_3,
	    5_4_1,
	    5_4_7,
	    5_5_7,
	    5_6_3,
	    5_6_9,
	    5_7_1,
	    5_7_7,
	    5_8_7,
	    5_9_3,
	    5_9_9,
	    6_0_1,
	    6_0_7,
	    6_1_3,
	    6_1_7,
	    6_1_9,
	    6_3_1,
	    6_4_1,
	    6_4_3,
	    6_4_7,
	    6_5_3,
	    6_5_9,
	    6_6_1,
	    6_7_3,
	    6_7_7,
	    6_8_3,
	    6_9_1,
	    7_0_1,
	    7_0_9,
	    7_1_9,
	    7_2_7,
	    7_3_3,
	    7_3_9,
	    7_4_3,
	    7_5_1,
	    7_5_7,
	    7_6_1,
	    7_6_9,
	    7_7_3,
	    7_8_7,
	    7_9_7,
	    8_0_9,
	    8_1_1,
	    8_2_1,
	    8_2_3,
	    8_2_7,
	    8_2_9,
	    8_3_9,
	    8_5_3,
	    8_5_7,
	    8_5_9,
	    8_6_3,
	    8_7_7,
	    8_8_1,
	    8_8_3,
	    8_8_7,
	    9_0_7,
	    9_1_1,
	    9_1_9,
	    9_2_9,
	    9_3_7,
	    9_4_1,
	    9_4_7,
	    9_5_3,
	    9_6_7,
	    9_7_1,
	    9_7_7,
	    9_8_3,
	    9_9_1,
	    9_9_7,
	]

	if num in low_primes:
		return True

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

	return rabin_miller(a_  )







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase = 1_0_2_4  )    ->    int:






	while True:
		UpperCAmelCase_		:      Tuple       	=					random.randrange(2 ** (keysize - 1)   ,2 ** (keysize)  )
		if is_prime_low_num(a_  ):
			return num


if __name__ == "__main__":
						lowerCAmelCase__										= generate_large_prime()
						print(("Prime number:", num))
						print(("is_prime_low_num:", is_prime_low_num(num)))





'''simple docstring'''


from __future__ import annotations

import requests

lowerCAmelCase__										= set(
    "approved_at_utc approved_by author_flair_background_color\nauthor_flair_css_class author_flair_richtext author_flair_template_id author_fullname\nauthor_premium can_mod_post category clicked content_categories created_utc downs\nedited gilded gildings hidden hide_score is_created_from_ads_ui is_meta\nis_original_content is_reddit_media_domain is_video link_flair_css_class\nlink_flair_richtext link_flair_text link_flair_text_color media_embed mod_reason_title\nname permalink pwls quarantine saved score secure_media secure_media_embed selftext\nsubreddit subreddit_name_prefixed subreddit_type thumbnail title top_awarded_type\ntotal_awards_received ups upvote_ratio url user_reports".split()
)







def 						SCREAMING_SNAKE_CASE(  UpperCamelCase   ,UpperCamelCase = 1   ,UpperCamelCase = "new"   ,UpperCamelCase = None  )    ->    dict:
	UpperCAmelCase_		:      Dict       	=					wanted_data or []
	if invalid_search_terms := ", ".join(sorted(set(UpperCamelCase  ) - valid_terms  )  ):
		UpperCAmelCase_		:      str       	=					f"""Invalid search term: {invalid_search_terms}"""
		raise ValueError(UpperCamelCase  )
	UpperCAmelCase_		:      Dict       	=					requests.get(
	    f"""https://reddit.com/r/{subreddit}/{age}.json?limit={limit}"""   ,headers={'User-agent': 'A random string'}   ,)
	if response.status_code == 4_2_9:
		raise requests.HTTPError

	UpperCAmelCase_		:      int       	=					response.json()
	if not wanted_data:
		return {id_: data["data"]["children"][id_] for id_ in range(UpperCamelCase  )}

	UpperCAmelCase_		:      List[str]       	=					{}
	for id_ in range(UpperCamelCase  ):
		UpperCAmelCase_		:      Tuple       	=					{
		    item: data['data']['children'][id_]['data'][item] for item in wanted_data
		}
	return data_dict


if __name__ == "__main__":
						# If you get Error 429, that means you are rate limited.Try after some time
						print(get_subreddit_data("learnpython", wanted_data=["title", "url", "selftext"]))






