

'''simple docstring'''


def 						SCREAMING_SNAKE_CASE(  UpperCamelCase   ,UpperCamelCase = False  )    ->    bool:






	if n == 2:
		return True
	if not n % 2 or n < 2:
		return False
	if n > 5 and n % 1_0 not in (1, 3, 7, 9):  # can quickly check last digit
		return False
	if n > 3_3_1_7_0_4_4_0_6_4_6_7_9_8_8_7_3_8_5_9_6_1_9_8_1 and not allow_probable:
		raise ValueError(
		    'Warning: upper bound of deterministic test is exceeded. '
		    'Pass allow_probable=True to allow probabilistic test. '
		    'A return value of True indicates a probable prime.'  )
	# array bounds provided by analysis
	UpperCAmelCase_		:      Any       	=					[
	    2_0_4_7,
	    1_3_7_3_6_5_3,
	    2_5_3_2_6_0_0_1,
	    3_2_1_5_0_3_1_7_5_1,
	    2_1_5_2_3_0_2_8_9_8_7_4_7,
	    3_4_7_4_7_4_9_6_6_0_3_8_3,
	    3_4_1_5_5_0_0_7_1_7_2_8_3_2_1,
	    1,
	    3_8_2_5_1_2_3_0_5_6_5_4_6_4_1_3_0_5_1,
	    1,
	    1,
	    3_1_8_6_6_5_8_5_7_8_3_4_0_3_1_1_5_1_1_6_7_4_6_1,
	    3_3_1_7_0_4_4_0_6_4_6_7_9_8_8_7_3_8_5_9_6_1_9_8_1,
	]

	UpperCAmelCase_		:      Any       	=					[2, 3, 5, 7, 1_1, 1_3, 1_7, 1_9, 2_3, 2_9, 3_1, 3_7, 4_1]
	for idx, _p in enumerate(UpperCamelCase   ,1  ):
		if n < _p:
			# then we have our last prime to check
			UpperCAmelCase_		:      str       	=					primes[:idx]
			break
	UpperCAmelCase_		:      Tuple       	=					n - 1, 0
	# break up n -1 into a power of 2 (s) and
	# remaining odd component
	# essentially, solve for d * 2 ** s == n - 1
	while d % 2 == 0:
		d //= 2
		s += 1
	for prime in plist:
		UpperCAmelCase_		:      Any       	=					False
		for r in range(UpperCamelCase  ):
			UpperCAmelCase_		:      List[Any]       	=					pow(UpperCamelCase   ,d * 2**r   ,UpperCamelCase  )
			# see article for analysis explanation for m
			if (r == 0 and m == 1) or ((m + 1) % n == 0):
				UpperCAmelCase_		:      Optional[Any]       	=					True
				# this loop will not determine compositeness
				break
		if pr:
			continue
		# if pr is False, then the above loop never evaluated to true,
		# and the n MUST be composite
		return False
	return True







def 						SCREAMING_SNAKE_CASE(  )    ->    None:
	assert not miller_rabin(5_6_1  )
	assert miller_rabin(5_6_3  )
	# 2047

	assert not miller_rabin(8_3_8_2_0_1  )
	assert miller_rabin(8_3_8_2_0_7  )
	# 1_373_653

	assert not miller_rabin(1_7_3_1_6_0_0_1  )
	assert miller_rabin(1_7_3_1_6_0_1_7  )
	# 25_326_001

	assert not miller_rabin(3_0_7_8_3_8_6_6_4_1  )
	assert miller_rabin(3_0_7_8_3_8_6_6_5_3  )
	# 3_215_031_751

	assert not miller_rabin(1_7_1_3_0_4_5_5_7_4_8_0_1  )
	assert miller_rabin(1_7_1_3_0_4_5_5_7_4_8_1_9  )
	# 2_152_302_898_747

	assert not miller_rabin(2_7_7_9_7_9_9_7_2_8_3_0_7  )
	assert miller_rabin(2_7_7_9_7_9_9_7_2_8_3_2_7  )
	# 3_474_749_660_383

	assert not miller_rabin(1_1_3_8_5_0_0_2_3_9_0_9_4_4_1  )
	assert miller_rabin(1_1_3_8_5_0_0_2_3_9_0_9_5_2_7  )
	# 341_550_071_728_321

	assert not miller_rabin(1_2_7_5_0_4_1_0_1_8_8_4_8_8_0_4_3_5_1  )
	assert miller_rabin(1_2_7_5_0_4_1_0_1_8_8_4_8_8_0_4_3_9_1  )
	# 3_825_123_056_546_413_051

	assert not miller_rabin(7_9_6_6_6_4_6_4_4_5_8_5_0_7_7_8_7_7_9_1_8_6_7  )
	assert miller_rabin(7_9_6_6_6_4_6_4_4_5_8_5_0_7_7_8_7_7_9_1_9_5_1  )
	# 318_665_857_834_031_151_167_461

	assert not miller_rabin(5_5_2_8_4_0_6_7_7_4_4_6_6_4_7_8_9_7_6_6_0_3_3_3  )
	assert miller_rabin(5_5_2_8_4_0_6_7_7_4_4_6_6_4_7_8_9_7_6_6_0_3_5_9  )
	# 3_317_044_064_679_887_385_961_981
	# upper limit for probabilistic test


if __name__ == "__main__":
						test_miller_rabin()





'''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"]))






