




import heapq




def 		lowerCAmelCase_ (						lowerCamelCase ):
				__magic_name__						:						list[list]										=[]

				# for each node and his adjacency list add them and the rank of the node to queue
				# using heapq module the queue will be filled like a Priority Queue
				# heapq works with a min priority queue, so I used -1*len(v) to build it
				for key, value in graph.items():
								# O(log(n))
								heapq.heappush(lowerCamelCase						,  [-1 * len(lowerCamelCase ), (key, value)] )

				# chosen_vertices = set of chosen vertices
				__magic_name__						:						Tuple										=set()

				# while queue isn't empty and there are still edges
				#   (queue[0][0] is the rank of the node with max rank)
				while queue and queue[0][0] != 0:
								# extract vertex with max rank from queue and add it to chosen_vertices
								__magic_name__						:						Tuple										=heapq.heappop(lowerCamelCase )[1][0]
								chosen_vertices.add(lowerCamelCase )

								# Remove all arcs adjacent to argmax
								for elem in queue:
												# if v haven't adjacent node, skip
												if elem[0] == 0:
																continue
												# if argmax is reachable from elem
												# remove argmax from elem's adjacent list and update his rank
												if argmax in elem[1][1]:
																__magic_name__						:						Tuple										=elem[1][1].index(lowerCamelCase )
																del elem[1][1][index]
																elem[0] += 1
        # re-order the queue
								heapq.heapify(lowerCamelCase )
				return chosen_vertices


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							UpperCAmelCase_		:					Optional[int]          =  {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
							print(F"""Minimum vertex cover:\n{greedy_min_vertex_cover(graph)}""")






"""simple docstring"""






import os
import sys
import tempfile
import unittest
import unittest.mock as mock
from pathlib import Path

from huggingface_hub import HfFolder, delete_repo
from huggingface_hub.file_download import http_get
from requests.exceptions import HTTPError

from transformers import (
    AlbertTokenizer,
    AutoTokenizer,
    BertTokenizer,
    BertTokenizerFast,
    GPTaTokenizerFast,
    is_tokenizers_available,
)
from transformers.testing_utils import TOKEN, USER, is_staging_test, require_tokenizers
from transformers.tokenization_utils import Trie


sys.path.append(str(Path(__file__).parent.parent / '''utils'''))

from test_module.custom_tokenization import CustomTokenizer  # noqa E402


if is_tokenizers_available():
					from test_module.custom_tokenization_fast import CustomTokenizerFast

class 					__a     ( unittest.TestCase       ):



							'''simple docstring'''







							def   SCREAMING_SNAKE_CASE						(     self       )			->							int:




										'''simple docstring'''
										# A mock response for an HTTP head request to emulate server down
										__lowercase       =       mock.Mock()
										__lowercase       =       500
										__lowercase       =       {}
										__lowercase       =       HTTPError
										__lowercase       =       {}

										# Download this model to make sure it's in the cache.
										__lowercase       =       BertTokenizer.from_pretrained("hf-internal-testing/tiny-random-bert"       )

										# Under the mock environment we get a 500 error when trying to reach the tokenizer.
										with mock.patch("requests.Session.request"  ,    return_value=_lowerCamelCase       ) as mock_head:
													__lowercase       =       BertTokenizer.from_pretrained("hf-internal-testing/tiny-random-bert"       )
													# This check we did call the fake head request
													mock_head.assert_called()
							@require_tokenizers
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Tuple:




										'''simple docstring'''
										# A mock response for an HTTP head request to emulate server down
										__lowercase       =       mock.Mock()
										__lowercase       =       500
										__lowercase       =       {}
										__lowercase       =       HTTPError
										__lowercase       =       {}

										# Download this model to make sure it's in the cache.
										__lowercase       =       GPTaTokenizerFast.from_pretrained("gpt2"       )

										# Under the mock environment we get a 500 error when trying to reach the tokenizer.
										with mock.patch("requests.Session.request"  ,    return_value=_lowerCamelCase       ) as mock_head:
													__lowercase       =       GPTaTokenizerFast.from_pretrained("gpt2"       )
													# This check we did call the fake head request
													mock_head.assert_called()
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Any:




										'''simple docstring'''
										# This test is for deprecated behavior and can be removed in v5
										try:
													__lowercase       =       tempfile.mktemp()
													with open(_lowerCamelCase  ,    "wb"       ) as f:
																http_get("https://huggingface.co/albert-base-v1/resolve/main/spiece.model"  ,    _lowerCamelCase       )

													__lowercase       =       AlbertTokenizer.from_pretrained(_lowerCamelCase       )
										finally:
													os.remove(_lowerCamelCase       )

										# Supporting this legacy load introduced a weird bug where the tokenizer would load local files if they are in
										# the current folder and have the right name.
										if os.path.isfile("tokenizer.json"       ):
													# We skip the test if the user has a `tokenizer.json` in this folder to avoid deleting it.
													return
										try:
													with open("tokenizer.json"  ,    "wb"       ) as f:
																http_get("https://huggingface.co/hf-internal-testing/tiny-random-bert/blob/main/tokenizer.json"  ,    _lowerCamelCase       )
													__lowercase       =       AutoTokenizer.from_pretrained("hf-internal-testing/tiny-random-gpt2"       )
													# The tiny random BERT has a vocab size of 1024, tiny gpt2 as a vocab size of 1000
													self.assertEqual(tokenizer.vocab_size  ,    1_000       )
													# Tokenizer should depend on the remote checkpoint, not the local tokenizer.json file.

										finally:
													os.remove("tokenizer.json"       )





							def   SCREAMING_SNAKE_CASE						(     self       )			->							int:




										'''simple docstring'''
										# This test is for deprecated behavior and can be removed in v5
										__lowercase       =       AlbertTokenizer.from_pretrained("https://huggingface.co/albert-base-v1/resolve/main/spiece.model"       )





@is_staging_test
class 					__a     ( unittest.TestCase       ):



							'''simple docstring'''







							_lowerCamelCase					:			str          =   ["""[UNK]""", """[CLS]""", """[SEP]""", """[PAD]""", """[MASK]""", """bla""", """blou"""]
							@classmethod
							def   SCREAMING_SNAKE_CASE						(     cls       )			->							List[Any]:




										'''simple docstring'''
										__lowercase       =       TOKEN
										HfFolder.save_token(_lowerCamelCase       )
							@classmethod
							def   SCREAMING_SNAKE_CASE						(     cls       )			->							List[str]:




										'''simple docstring'''
										try:
													delete_repo(token=cls._token  ,    repo_id="test-tokenizer"       )
										except HTTPError:
													pass

										try:
													delete_repo(token=cls._token  ,    repo_id="valid_org/test-tokenizer-org"       )
										except HTTPError:
													pass

										try:
													delete_repo(token=cls._token  ,    repo_id="test-dynamic-tokenizer"       )
										except HTTPError:
													pass
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Any:




										'''simple docstring'''
										with tempfile.TemporaryDirectory() as tmp_dir:
													__lowercase       =       os.path.join(_lowerCamelCase  ,    "vocab.txt"       )
													with open(_lowerCamelCase  ,    "w"  ,    encoding="utf-8"       ) as vocab_writer:
																vocab_writer.write("".join([x + "\n" for x in self.vocab_tokens]       )       )
													__lowercase       =       BertTokenizer(_lowerCamelCase       )

										tokenizer.push_to_hub("test-tokenizer"  ,    use_auth_token=self._token       )
										__lowercase       =       BertTokenizer.from_pretrained(f'''{USER}/test-tokenizer'''       )
										self.assertDictEqual(new_tokenizer.vocab  ,    tokenizer.vocab       )

										# Reset repo
										delete_repo(token=self._token  ,    repo_id="test-tokenizer"       )

										# Push to hub via save_pretrained
										with tempfile.TemporaryDirectory() as tmp_dir:
													tokenizer.save_pretrained(_lowerCamelCase  ,    repo_id="test-tokenizer"  ,    push_to_hub=_lowerCamelCase  ,    use_auth_token=self._token       )

										__lowercase       =       BertTokenizer.from_pretrained(f'''{USER}/test-tokenizer'''       )
										self.assertDictEqual(new_tokenizer.vocab  ,    tokenizer.vocab       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Dict:




										'''simple docstring'''
										with tempfile.TemporaryDirectory() as tmp_dir:
													__lowercase       =       os.path.join(_lowerCamelCase  ,    "vocab.txt"       )
													with open(_lowerCamelCase  ,    "w"  ,    encoding="utf-8"       ) as vocab_writer:
																vocab_writer.write("".join([x + "\n" for x in self.vocab_tokens]       )       )
													__lowercase       =       BertTokenizer(_lowerCamelCase       )

										tokenizer.push_to_hub("valid_org/test-tokenizer-org"  ,    use_auth_token=self._token       )
										__lowercase       =       BertTokenizer.from_pretrained("valid_org/test-tokenizer-org"       )
										self.assertDictEqual(new_tokenizer.vocab  ,    tokenizer.vocab       )

										# Reset repo
										delete_repo(token=self._token  ,    repo_id="valid_org/test-tokenizer-org"       )

										# Push to hub via save_pretrained
										with tempfile.TemporaryDirectory() as tmp_dir:
													tokenizer.save_pretrained(
													    _lowerCamelCase  ,    repo_id="valid_org/test-tokenizer-org"  ,    push_to_hub=_lowerCamelCase  ,    use_auth_token=self._token       )

										__lowercase       =       BertTokenizer.from_pretrained("valid_org/test-tokenizer-org"       )
										self.assertDictEqual(new_tokenizer.vocab  ,    tokenizer.vocab       )





							@require_tokenizers
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Optional[int]:




										'''simple docstring'''
										CustomTokenizer.register_for_auto_class()
										with tempfile.TemporaryDirectory() as tmp_dir:
													__lowercase       =       os.path.join(_lowerCamelCase  ,    "vocab.txt"       )
													with open(_lowerCamelCase  ,    "w"  ,    encoding="utf-8"       ) as vocab_writer:
																vocab_writer.write("".join([x + "\n" for x in self.vocab_tokens]       )       )
													__lowercase       =       CustomTokenizer(_lowerCamelCase       )

										# No fast custom tokenizer
										tokenizer.push_to_hub("test-dynamic-tokenizer"  ,    use_auth_token=self._token       )

										__lowercase       =       AutoTokenizer.from_pretrained(f'''{USER}/test-dynamic-tokenizer'''  ,    trust_remote_code=_lowerCamelCase       )
										# Can't make an isinstance check because the new_model.config is from the CustomTokenizer class of a dynamic module
										self.assertEqual(tokenizer.__class__.__name__  ,    "CustomTokenizer"       )

										# Fast and slow custom tokenizer
										CustomTokenizerFast.register_for_auto_class()
										with tempfile.TemporaryDirectory() as tmp_dir:
													__lowercase       =       os.path.join(_lowerCamelCase  ,    "vocab.txt"       )
													with open(_lowerCamelCase  ,    "w"  ,    encoding="utf-8"       ) as vocab_writer:
																vocab_writer.write("".join([x + "\n" for x in self.vocab_tokens]       )       )

													__lowercase       =       BertTokenizerFast.from_pretrained(_lowerCamelCase       )
													bert_tokenizer.save_pretrained(_lowerCamelCase       )
													__lowercase       =       CustomTokenizerFast.from_pretrained(_lowerCamelCase       )

										tokenizer.push_to_hub("test-dynamic-tokenizer"  ,    use_auth_token=self._token       )

										__lowercase       =       AutoTokenizer.from_pretrained(f'''{USER}/test-dynamic-tokenizer'''  ,    trust_remote_code=_lowerCamelCase       )
										# Can't make an isinstance check because the new_model.config is from the FakeConfig class of a dynamic module
										self.assertEqual(tokenizer.__class__.__name__  ,    "CustomTokenizerFast"       )
										__lowercase       =       AutoTokenizer.from_pretrained(
										    f'''{USER}/test-dynamic-tokenizer'''  ,    use_fast=_lowerCamelCase  ,    trust_remote_code=_lowerCamelCase       )
										# Can't make an isinstance check because the new_model.config is from the FakeConfig class of a dynamic module
										self.assertEqual(tokenizer.__class__.__name__  ,    "CustomTokenizer"       )





class 					__a     ( unittest.TestCase       ):



							'''simple docstring'''







							def   SCREAMING_SNAKE_CASE						(     self       )			->							Dict:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("Hello 友達"       )
										self.assertEqual(trie.data  ,    {"H": {"e": {"l": {"l": {"o": {" ": {"友": {"達": {"": 1}}}}}}}}}       )
										trie.add("Hello"       )
										trie.data
										self.assertEqual(trie.data  ,    {"H": {"e": {"l": {"l": {"o": {"": 1, " ": {"友": {"達": {"": 1}}}}}}}}}       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Tuple:




										'''simple docstring'''
										__lowercase       =       Trie()
										self.assertEqual(trie.split("[CLS] This is a extra_id_100"       )  ,    ["[CLS] This is a extra_id_100"]       )
										trie.add("[CLS]"       )
										trie.add("extra_id_1"       )
										trie.add("extra_id_100"       )
										self.assertEqual(trie.split("[CLS] This is a extra_id_100"       )  ,    ["[CLS]", " This is a ", "extra_id_100"]       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Dict:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("A"       )
										self.assertEqual(trie.split("ABC"       )  ,    ["A", "BC"]       )
										self.assertEqual(trie.split("BCA"       )  ,    ["BC", "A"]       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							str:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("TOKEN]"       )
										trie.add("[SPECIAL_TOKEN]"       )
										self.assertEqual(trie.split("This is something [SPECIAL_TOKEN]"       )  ,    ["This is something ", "[SPECIAL_TOKEN]"]       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Union[str, Any]:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("A"       )
										trie.add("P"       )
										trie.add("[SPECIAL_TOKEN]"       )
										self.assertEqual(trie.split("This is something [SPECIAL_TOKEN]"       )  ,    ["This is something ", "[SPECIAL_TOKEN]"]       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Any:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("AB"       )
										trie.add("B"       )
										trie.add("C"       )
										self.assertEqual(trie.split("ABC"       )  ,    ["AB", "C"]       )
							def   SCREAMING_SNAKE_CASE						(     self       )			->							Tuple:




										'''simple docstring'''
										__lowercase       =       Trie()
										trie.add("ABC"       )
										trie.add("B"       )
										trie.add("CD"       )
										self.assertEqual(trie.split("ABCD"       )  ,    ["ABC", "D"]       )





							def   SCREAMING_SNAKE_CASE						(     self       )			->							Tuple:




										'''simple docstring'''
										# Even if the offsets are wrong, we necessarily output correct string
										# parts.
										__lowercase       =       Trie()
										__lowercase       =       trie.cut_text("ABC"  ,    [0, 0, 2, 1, 2, 3]       )
										self.assertEqual(_lowerCamelCase  ,    ["AB", "C"]       )





