






'''simple docstring'''







from __future__ import annotations





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase = 4      )      ->       list[list[int]]:
							lowerCamelCase__					:	Union[str, Any]         =       abs(UpperCamelCase      ) or 4
							return [[1 + x + y * row_size for x in range(UpperCamelCase      )] for y in range(UpperCamelCase      )]





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							return reverse_row(transpose(UpperCamelCase      )      )
							# OR.. transpose(reverse_column(matrix))





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							return reverse_row(reverse_column(UpperCamelCase      )      )
							# OR.. reverse_column(reverse_row(matrix))





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							return reverse_column(transpose(UpperCamelCase      )      )
							# OR.. transpose(reverse_row(matrix))





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							lowerCamelCase__					:	List[Any]         =       [list(UpperCamelCase      ) for x in zip(*UpperCamelCase      )]
							return matrix





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							lowerCamelCase__					:	str         =       matrix[::-1]
							return matrix





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       list[list[int]]:
							lowerCamelCase__					:	int         =       [x[::-1] for x in matrix]
							return matrix





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       None:
							for i in matrix:
														print(*UpperCamelCase      )


if __name__ == "__main__":
			_A	:			str         =make_matrix()
			print('''\norigin:\n''')
			print_matrix(matrix)
			print('''\nrotate 90 counterclockwise:\n''')
			print_matrix(rotate_aa(matrix))

			_A	:			Optional[int]         =make_matrix()
			print('''\norigin:\n''')
			print_matrix(matrix)
			print('''\nrotate 180:\n''')
			print_matrix(rotate_aaa(matrix))

			_A	:			List[str]         =make_matrix()
			print('''\norigin:\n''')
			print_matrix(matrix)
			print('''\nrotate 270 counterclockwise:\n''')
			print_matrix(rotate_aaa(matrix))









'''simple docstring'''







from __future__ import annotations

_A	:			Any         ={
    '''A''': ['''B''', '''C''', '''E'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F''', '''G'''],
    '''D''': ['''B'''],
    '''E''': ['''A''', '''B''', '''D'''],
    '''F''': ['''C'''],
    '''G''': ['''C'''],
}

class _lowercase	:




							def __init__(							self:				Tuple			,							UpperCamelCase__:				dict[str, list[str]]			,							UpperCamelCase__:				str     ):
														lowerCamelCase__					:	str         =       graph
														# mapping node to its parent in resulting breadth first tree
														lowerCamelCase__					:	dict[str, str | None]         =       {}
														lowerCamelCase__					:	Any         =       source_vertex




							def 		lowerCamelCase_				(							self:				List[str]     ):
														lowerCamelCase__					:	List[str]         =       {self.source_vertex}
														lowerCamelCase__					:	List[str]         =       None
														lowerCamelCase__					:	Tuple         =       [self.source_vertex]  # first in first out queue

														while queue:
																					lowerCamelCase__					:	Tuple         =       queue.pop(0     )
																					for adjacent_vertex in self.graph[vertex]:
																												if adjacent_vertex not in visited:
																																			visited.add(UpperCamelCase__     )
																																			lowerCamelCase__					:	List[str]         =       vertex
																																			queue.append(UpperCamelCase__     )




							def 		lowerCamelCase_				(							self:				str			,							UpperCamelCase__:				str     ):
														if target_vertex == self.source_vertex:
																					return self.source_vertex

														lowerCamelCase__					:	Tuple         =       self.parent.get(UpperCamelCase__     )
														if target_vertex_parent is None:
																					lowerCamelCase__					:	int         =       (
																					    F'''No path from vertex: {self.source_vertex} to vertex: {target_vertex}'''
																					)
																					raise ValueError(UpperCamelCase__     )

														return self.shortest_path(UpperCamelCase__     ) + F'''->{target_vertex}'''


if __name__ == "__main__":
			_A	:			int         =Graph(graph, '''G''')
			g.breath_first_search()
			print(g.shortest_path('''D'''))
			print(g.shortest_path('''G'''))
			print(g.shortest_path('''Foo'''))

