


def 							lowerCAmelCase_	(   __lowerCamelCase				,      __lowerCamelCase				,      __lowerCamelCase      ):
							return not any(
							    neighbour == 1 and colored_vertices[i] == color
							    for i, neighbour in enumerate(__lowerCamelCase      )      )







def 							lowerCAmelCase_	(   __lowerCamelCase				,      __lowerCamelCase				,      __lowerCamelCase				,      __lowerCamelCase      ):

							# Base Case
							if index == len(__lowerCamelCase      ):
														return True

							# Recursive Step
							for i in range(__lowerCamelCase      ):
														if valid_coloring(graph[index]				,      __lowerCamelCase				,      __lowerCamelCase      ):
																					# Color current vertex
																					__snake_case						:     List[str]									=  i
																					# Validate coloring
																					if util_color(__lowerCamelCase				,      __lowerCamelCase				,      __lowerCamelCase				,      index + 1      ):
																												return True
																					# Backtrack
																					__snake_case						:     str									=  -1
							return False







def 							lowerCAmelCase_	(   __lowerCamelCase				,      __lowerCamelCase      ):
							__snake_case						:     List[str]									=  [-1] * len(__lowerCamelCase      )

							if util_color(__lowerCamelCase				,      __lowerCamelCase				,      __lowerCamelCase				,      0      ):
														return colored_vertices

							return []



'''simple docstring'''
from typing import Any







class   a_ :




			def __init__(       self					,   UpperCAmelCase	):
				a_      				=						data
				a_      				=						None







class   a_ :




			def __init__(       self	):
				a_      				=						None




			def 					lowerCAmelCase__					(       self	):
				a_      				=						self.head
				while temp is not None:
					print(temp.data					,   end=""" """	)
					a_      				=						temp.next
				print()




			def 					lowerCAmelCase__					(       self					,   UpperCAmelCase	):
				a_      				=						Node(UpperCAmelCase	)
				a_      				=						self.head
				a_      				=						new_node






			def 					lowerCAmelCase__					(       self					,   UpperCAmelCase					,   UpperCAmelCase	):
				if node_data_a == node_data_a:
					return
				else:
					a_      				=						self.head
					while node_a is not None and node_a.data != node_data_a:
						a_      				=						node_a.next

					a_      				=						self.head
					while node_a is not None and node_a.data != node_data_a:
						a_      				=						node_a.next

					if node_a is None or node_a is None:
						return

					a_				,  a_      				=						node_a.data, node_a.data


if __name__ == "__main__":
		lowercase__											=LinkedList()
		for i in range(5, 0, -1):
				ll.push(i)

		ll.print_list()

		ll.swap_nodes(1, 4)
		print('After swapping')
		ll.print_list()
