



"""simple docstring"""

from __future__ import annotations
def    __snake_case       (  __A			:	List[str]    )    ->					Tuple:






				'''simple docstring'''
				global graph, reversed_graph, scc, component, visit, stack
				if visit[u]:
								return
				SCREAMING_SNAKE_CASE	:       Dict 							=    True
				for v in graph[u]:
								dfs(__A    )
				stack.append(__A    )
def    __snake_case       (  __A			:	Dict    )    ->					str:






				'''simple docstring'''
				global graph, reversed_graph, scc, component, visit, stack
				if visit[u]:
								return
				SCREAMING_SNAKE_CASE	:       Union[str, Any] 							=    True
				component.append(__A    )
				for v in reversed_graph[u]:
								dfsa(__A    )
def    __snake_case       (  )    ->					List[str]:






				'''simple docstring'''
				global graph, reversed_graph, scc, component, visit, stack
				for i in range(__A    ):
								dfs(__A    )
				SCREAMING_SNAKE_CASE	:       Tuple 							=    [False] * n
				for i in stack[::-1]:
								if visit[i]:
												continue
								SCREAMING_SNAKE_CASE	:       Union[str, Any] 							=    []
								dfsa(__A    )
								scc.append(__A    )
				return scc


if __name__ == "__main__":
							# n - no of nodes, m - no of edges
							A_		,     A_	:						Optional[Any]				=			list(map(int, input().strip().split()))

							A_	:						list[list[int]]				=			[[] for _ in range(n)]  # graph
							A_	:						list[list[int]]				=			[[] for i in range(n)]  # reversed graph
							# input graph data (edges)
							for _ in range(m):
														A_		,     A_	:						Dict				=			list(map(int, input().strip().split()))
														graph[u].append(v)
														reversed_graph[v].append(u)

							A_	:						list[int]				=			[]
							A_	:						list[bool]				=			[False] * n
							A_	:						list[int]				=			[]
							A_	:						list[int]				=			[]
							print(kosaraju())










"""simple docstring"""

import json
from typing import List, Optional, Tuple

from tokenizers import pre_tokenizers, processors

from ...tokenization_utils_base import AddedToken, BatchEncoding
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_longformer import LongformerTokenizer


A_	:						Tuple				=			logging.get_logger(__name__)

A_	:						Optional[Any]				=			{'vocab_file': 'vocab.json', 'merges_file': 'merges.txt', 'tokenizer_file': 'tokenizer.json'}

A_	:						Any				=			{
    'vocab_file': {
        'allenai/longformer-base-4096': 'https://huggingface.co/allenai/longformer-base-4096/resolve/main/vocab.json',
        'allenai/longformer-large-4096': (
            'https://huggingface.co/allenai/longformer-large-4096/resolve/main/vocab.json'
        ),
        'allenai/longformer-large-4096-finetuned-triviaqa': (
            'https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/vocab.json'
        ),
        'allenai/longformer-base-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/vocab.json'
        ),
        'allenai/longformer-large-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/vocab.json'
        ),
    },
    'merges_file': {
        'allenai/longformer-base-4096': 'https://huggingface.co/allenai/longformer-base-4096/resolve/main/merges.txt',
        'allenai/longformer-large-4096': (
            'https://huggingface.co/allenai/longformer-large-4096/resolve/main/merges.txt'
        ),
        'allenai/longformer-large-4096-finetuned-triviaqa': (
            'https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/merges.txt'
        ),
        'allenai/longformer-base-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/merges.txt'
        ),
        'allenai/longformer-large-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/merges.txt'
        ),
    },
    'tokenizer_file': {
        'allenai/longformer-base-4096': (
            'https://huggingface.co/allenai/longformer-base-4096/resolve/main/tokenizer.json'
        ),
        'allenai/longformer-large-4096': (
            'https://huggingface.co/allenai/longformer-large-4096/resolve/main/tokenizer.json'
        ),
        'allenai/longformer-large-4096-finetuned-triviaqa': (
            'https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/tokenizer.json'
        ),
        'allenai/longformer-base-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/tokenizer.json'
        ),
        'allenai/longformer-large-4096-extra.pos.embd.only': (
            'https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/tokenizer.json'
        ),
    },
}

A_	:						int				=			{
    'allenai/longformer-base-4096': 4096,
    'allenai/longformer-large-4096': 4096,
    'allenai/longformer-large-4096-finetuned-triviaqa': 4096,
    'allenai/longformer-base-4096-extra.pos.embd.only': 4096,
    'allenai/longformer-large-4096-extra.pos.embd.only': 4096,
}
class 						lowerCAmelCase__	(  _lowerCamelCase   ):


	'''simple docstring'''







	_SCREAMING_SNAKE_CASE  :		Optional[int]     	=   VOCAB_FILES_NAMES
	_SCREAMING_SNAKE_CASE  :		List[Any]     	=   PRETRAINED_VOCAB_FILES_MAP
	_SCREAMING_SNAKE_CASE  :		int     	=   PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
	_SCREAMING_SNAKE_CASE  :		Union[str, Any]     	=   ['''input_ids''', '''attention_mask''']
	_SCREAMING_SNAKE_CASE  :		Optional[int]     	=   LongformerTokenizer





	def __init__(			self							:					Optional[Any]    ,					_SCREAMING_SNAKE_CASE							:					Tuple=None    ,					_SCREAMING_SNAKE_CASE							:					Optional[Any]=None    ,					_SCREAMING_SNAKE_CASE							:					Any=None    ,					_SCREAMING_SNAKE_CASE							:					Union[str, Any]="replace"    ,					_SCREAMING_SNAKE_CASE							:					Optional[Any]="<s>"    ,					_SCREAMING_SNAKE_CASE							:					Dict="</s>"    ,					_SCREAMING_SNAKE_CASE							:					int="</s>"    ,					_SCREAMING_SNAKE_CASE							:					List[Any]="<s>"    ,					_SCREAMING_SNAKE_CASE							:					int="<unk>"    ,					_SCREAMING_SNAKE_CASE							:					Any="<pad>"    ,					_SCREAMING_SNAKE_CASE							:					Optional[int]="<mask>"    ,					_SCREAMING_SNAKE_CASE							:					Optional[Any]=False    ,					_SCREAMING_SNAKE_CASE							:					Dict=True    ,					**_SCREAMING_SNAKE_CASE							:					Tuple    ,					)	->  Optional[int]:





					"""simple docstring"""


					super().__init__(
					    _SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE    ,					tokenizer_file=_SCREAMING_SNAKE_CASE    ,					errors=_SCREAMING_SNAKE_CASE    ,					bos_token=_SCREAMING_SNAKE_CASE    ,					eos_token=_SCREAMING_SNAKE_CASE    ,					sep_token=_SCREAMING_SNAKE_CASE    ,					cls_token=_SCREAMING_SNAKE_CASE    ,					unk_token=_SCREAMING_SNAKE_CASE    ,					pad_token=_SCREAMING_SNAKE_CASE    ,					mask_token=_SCREAMING_SNAKE_CASE    ,					add_prefix_space=_SCREAMING_SNAKE_CASE    ,					trim_offsets=_SCREAMING_SNAKE_CASE    ,					**_SCREAMING_SNAKE_CASE    ,					)

					SCREAMING_SNAKE_CASE	:       List[str] 							=    json.loads(self.backend_tokenizer.pre_tokenizer.__getstate__()						)
					if pre_tok_state.get('add_prefix_space'    ,					_SCREAMING_SNAKE_CASE						) != add_prefix_space:
									SCREAMING_SNAKE_CASE	:       Dict 							=    getattr(_SCREAMING_SNAKE_CASE    ,					pre_tok_state.pop('type'						)						)
									SCREAMING_SNAKE_CASE	:       Any 							=    add_prefix_space
									SCREAMING_SNAKE_CASE	:       Optional[Any] 							=    pre_tok_class(**_SCREAMING_SNAKE_CASE						)

					SCREAMING_SNAKE_CASE	:       Dict 							=    add_prefix_space

					SCREAMING_SNAKE_CASE	:       List[str] 							=    'post_processor'
					SCREAMING_SNAKE_CASE	:       str 							=    getattr(self.backend_tokenizer    ,					_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE						)
					if tokenizer_component_instance:
									SCREAMING_SNAKE_CASE	:       Any 							=    json.loads(tokenizer_component_instance.__getstate__()						)

									# The lists 'sep' and 'cls' must be cased in tuples for the object `post_processor_class`
									if "sep" in state:
													SCREAMING_SNAKE_CASE	:       Optional[int] 							=    tuple(state['sep']						)
									if "cls" in state:
													SCREAMING_SNAKE_CASE	:       Tuple 							=    tuple(state['cls']						)

									SCREAMING_SNAKE_CASE	:       List[str] 							=    False

									if state.get('add_prefix_space'    ,					_SCREAMING_SNAKE_CASE						) != add_prefix_space:
													SCREAMING_SNAKE_CASE	:       Dict 							=    add_prefix_space
													SCREAMING_SNAKE_CASE	:       Dict 							=    True

									if state.get('trim_offsets'    ,					_SCREAMING_SNAKE_CASE						) != trim_offsets:
													SCREAMING_SNAKE_CASE	:       str 							=    trim_offsets
													SCREAMING_SNAKE_CASE	:       int 							=    True

									if changes_to_apply:
													SCREAMING_SNAKE_CASE	:       Union[str, Any] 							=    getattr(_SCREAMING_SNAKE_CASE    ,					state.pop('type'						)						)
													SCREAMING_SNAKE_CASE	:       Union[str, Any] 							=    component_class(**_SCREAMING_SNAKE_CASE						)
													setattr(self.backend_tokenizer    ,					_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE						)





	@property
	def  _lowerCAmelCase    (			self							:					Dict						)	->  str:





					"""simple docstring"""


					if self._mask_token is None:
									if self.verbose:
													logger.error('Using mask_token, but it is not set yet.'						)
									return None
					return str(self._mask_token						)





	@mask_token.setter
	def  _lowerCAmelCase    (			self							:					Tuple    ,					_SCREAMING_SNAKE_CASE							:					str						)	->  Union[str, Any]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       Dict 							=    AddedToken(_SCREAMING_SNAKE_CASE    ,					lstrip=_SCREAMING_SNAKE_CASE    ,					rstrip=_SCREAMING_SNAKE_CASE						) if isinstance(_SCREAMING_SNAKE_CASE    ,					_SCREAMING_SNAKE_CASE						) else value
					SCREAMING_SNAKE_CASE	:       Any 							=    value





	def  _lowerCAmelCase    (			self							:					Optional[Any]    ,					*_SCREAMING_SNAKE_CASE							:					Optional[Any]    ,					**_SCREAMING_SNAKE_CASE							:					int						)	->  BatchEncoding:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       Union[str, Any] 							=    kwargs.get('is_split_into_words'    ,					_SCREAMING_SNAKE_CASE						)
					assert self.add_prefix_space or not is_split_into_words, (
					    f"""You need to instantiate {self.__class__.__name__} with add_prefix_space=True """
					    "to use it with pretokenized inputs."
					)

					return super()._batch_encode_plus(*_SCREAMING_SNAKE_CASE    ,					**_SCREAMING_SNAKE_CASE						)





	def  _lowerCAmelCase    (			self							:					List[Any]    ,					*_SCREAMING_SNAKE_CASE							:					Optional[Any]    ,					**_SCREAMING_SNAKE_CASE							:					str						)	->  BatchEncoding:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       List[Any] 							=    kwargs.get('is_split_into_words'    ,					_SCREAMING_SNAKE_CASE						)

					assert self.add_prefix_space or not is_split_into_words, (
					    f"""You need to instantiate {self.__class__.__name__} with add_prefix_space=True """
					    "to use it with pretokenized inputs."
					)

					return super()._encode_plus(*_SCREAMING_SNAKE_CASE    ,					**_SCREAMING_SNAKE_CASE						)





	def  _lowerCAmelCase    (			self							:					Any    ,					_SCREAMING_SNAKE_CASE							:					str    ,					_SCREAMING_SNAKE_CASE							:					Optional[str] = None						)	->  Tuple[str]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       Optional[int] 							=    self._tokenizer.model.save(_SCREAMING_SNAKE_CASE    ,					name=_SCREAMING_SNAKE_CASE						)
					return tuple(_SCREAMING_SNAKE_CASE						)





	def  _lowerCAmelCase    (			self							:					Tuple    ,					_SCREAMING_SNAKE_CASE							:					List[str]    ,					_SCREAMING_SNAKE_CASE							:					Dict=None						)	->  Union[str, Any]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       Optional[int] 							=    [self.bos_token_id] + token_ids_a + [self.eos_token_id]
					if token_ids_a is None:
									return output

					return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]







	def  _lowerCAmelCase    (			self							:					Dict    ,					_SCREAMING_SNAKE_CASE							:					List[int]    ,					_SCREAMING_SNAKE_CASE							:					Optional[List[int]] = None						)	->  List[int]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE	:       Tuple 							=    [self.sep_token_id]
					SCREAMING_SNAKE_CASE	:       Optional[int] 							=    [self.cls_token_id]

					if token_ids_a is None:
									return len(cls + token_ids_a + sep						) * [0]
					return len(cls + token_ids_a + sep + sep + token_ids_a + sep						) * [0]





