



def 			UpperCamelCase(  __UpperCamelCase							:		Union[str, Any]     ,__UpperCamelCase							:		Any     ,__UpperCamelCase							:		List[Any]     ,__UpperCamelCase							:		Optional[Any]=None ):
		lowerCAmelCase_			:     List[str]									= (path or []) + [u]
		for v in graph[u]:
				if visited_edge[u][v] is False:
						lowerCAmelCase_			:     Any									= True, True
						lowerCAmelCase_			:     int									= dfs(__a     ,__a     ,__a     ,__a )
		return path


def 			UpperCamelCase(  __UpperCamelCase							:		List[str]     ,__UpperCamelCase							:		Optional[Any] ):
		lowerCAmelCase_			:     Union[str, Any]									= 0
		lowerCAmelCase_			:     str									= -1
		for i in range(__a ):
				if i not in graph.keys():
						continue
				if len(graph[i] ) % 2 == 1:
						odd_degree_nodes += 1
						lowerCAmelCase_			:     List[str]									= i
		if odd_degree_nodes == 0:
				return 1, odd_node
		if odd_degree_nodes == 2:
				return 2, odd_node
		return 3, odd_node


def 			UpperCamelCase(  __UpperCamelCase							:		Dict     ,__UpperCamelCase							:		int ):
		lowerCAmelCase_			:     Union[str, Any]									= [[False for _ in range(max_node + 1 )] for _ in range(max_node + 1 )]
		lowerCAmelCase_			:     int									= check_circuit_or_path(__a     ,__a )
		if check == 3:
				print('''graph is not Eulerian''' )
				print('''no path''' )
				return
		lowerCAmelCase_			:     Dict									= 1
		if check == 2:
				lowerCAmelCase_			:     List[Any]									= odd_node
				print('''graph has a Euler path''' )
		if check == 1:
				print('''graph has a Euler cycle''' )
		lowerCAmelCase_			:     Dict									= dfs(__a     ,__a     ,__a )
		print(__a )


def 			UpperCamelCase(  ):
		lowerCAmelCase_			:     Dict									= {1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
		lowerCAmelCase_			:     Optional[int]									= {1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
		lowerCAmelCase_			:     Optional[Any]									= {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
		lowerCAmelCase_			:     List[str]									= {1: [2, 3], 2: [1, 3], 3: [1, 2]}
		lowerCAmelCase_			:     Optional[Any]									= {
		    1: [],
		    2: []
		    # all degree is zero
		}
		lowerCAmelCase_			:     Tuple									= 10
		check_euler(__a     ,__a )
		check_euler(__a     ,__a )
		check_euler(__a     ,__a )
		check_euler(__a     ,__a )
		check_euler(__a     ,__a )


if __name__ == "__main__":
						main()









'''simple docstring'''
import unittest
from dataclasses import dataclass

import pytest

from accelerate.commands.config.config_args import SageMakerConfig
from accelerate.utils import ComputeEnvironment
from accelerate.utils.launch import _convert_nargs_to_dict
@dataclass
class    lowercase	(							A__					):

		"""simple docstring"""

		_a     =				ComputeEnvironment.AMAZON_SAGEMAKER
		_a     =				True
		_a     =				'ml.p3.2xlarge'
		_a     =				'accelerate_sagemaker_execution_role'
		_a     =				'hf-sm'
		_a     =				'us-east-1'
		_a     =				1
		_a     =				'accelerate-sagemaker-1'
		_a     =				'1.6'
		_a     =				'4.4'
		_a     =				'train.py'
		_a     =				[
		    '--model_name_or_path',
		    'bert',
		    '--do_train',
		    'False',
		    '--epochs',
		    '3',
		    '--learning_rate',
		    '5e-5',
		    '--max_steps',
		    '50.5',
		]
		_a     =				[
		    '--model_name_or_path',
		    'bert',
		    '--do_train',
		    '--do_test',
		    'False',
		    '--do_predict',
		    '--epochs',
		    '3',
		    '--learning_rate',
		    '5e-5',
		    '--max_steps',
		    '50.5',
		]



class    lowercase	(							unittest.TestCase					):

		"""simple docstring"""

		def     lowerCAmelCase__				(		self							):

							'''simple docstring'''


							UpperCamelCase__   :Union[str, Any]												= _convert_nargs_to_dict(MockLaunchConfig.success_training_script_args							)
							assert isinstance(converted_args['''model_name_or_path''']    ,   UpperCamelCase_							)
							assert isinstance(converted_args['''do_train''']    ,   UpperCamelCase_							)
							assert isinstance(converted_args['''epochs''']    ,   UpperCamelCase_							)
							assert isinstance(converted_args['''learning_rate''']    ,   UpperCamelCase_							)
							assert isinstance(converted_args['''max_steps''']    ,   UpperCamelCase_							)

							with pytest.raises(UpperCamelCase_							):
												_convert_nargs_to_dict(MockLaunchConfig.fail_training_script_args							)