
"""simple docstring"""


from __future__ import annotations

A_    							=					{
    """A""": ["""B""", """C""", """E"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F""", """G"""],
    """D""": ["""B"""],
    """E""": ["""A""", """B""", """D"""],
    """F""": ["""C"""],
    """G""": ["""C"""],
}




class  __lowerCamelCase  :




				def __init__(				self							,						UpperCAmelCase							,						UpperCAmelCase   ):
							lowerCamelCase_					=  graph
							# mapping node to its parent in resulting breadth first tree
							lowerCamelCase_					=  {}
							lowerCamelCase_					=  source_vertex




				def        UpperCAmelCase__						(				self   ):
							lowerCamelCase_					=  {self.source_vertex}
							lowerCamelCase_					=  None
							lowerCamelCase_					=  [self.source_vertex]  # first in first out queue

							while queue:
										lowerCamelCase_					=  queue.pop(0   )
										for adjacent_vertex in self.graph[vertex]:
													if adjacent_vertex not in visited:
																visited.add(UpperCAmelCase   )
																lowerCamelCase_					=  vertex
																queue.append(UpperCAmelCase   )





				def        UpperCAmelCase__						(				self							,						UpperCAmelCase   ):
							if target_vertex == self.source_vertex:
										return self.source_vertex

							lowerCamelCase_					=  self.parent.get(UpperCAmelCase   )
							if target_vertex_parent is None:
										lowerCamelCase_					=  (
										    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_    							=					Graph(graph, """G""")
						g.breath_first_search()
						print(g.shortest_path("""D"""))
						print(g.shortest_path("""G"""))
						print(g.shortest_path("""Foo"""))







from __future__ import annotations

def 			lowerCAmelCase__					(     a__:						str     ,    a__:						str			)    ->						bool:


							'''simple docstring'''





							_UpperCAmelCase											=     get_failure_array(a__			)

							# 2) Step through text searching for pattern
							_UpperCAmelCase						,			_UpperCAmelCase											=     0, 0  # index into text, pattern
							while i < len(a__			):
														if pattern[j] == text[i]:
																					if j == (len(a__			) - 1):
																												return True
																					j += 1

														# if this is a prefix in our pattern
														# just go back far enough to continue
														elif j > 0:
																					_UpperCAmelCase											=     failure[j - 1]
																					continue
														i += 1
							return False

def 			lowerCAmelCase__					(     a__:						str			)    ->						list[int]:


							'''simple docstring'''





							_UpperCAmelCase											=     [0]
							_UpperCAmelCase											=     0
							_UpperCAmelCase											=     1
							while j < len(a__			):
														if pattern[i] == pattern[j]:
																					i += 1
														elif i > 0:
																					_UpperCAmelCase											=     failure[i - 1]
																					continue
														j += 1
														failure.append(a__			)
							return failure


if __name__ == "__main__":
		# Test 1)
		lowerCAmelCase__    :List[Any]       =				'''abc1abc12'''
		lowerCAmelCase__    :Optional[int]       =				'''alskfjaldsabc1abc1abc12k23adsfabcabc'''
		lowerCAmelCase__    :int       =				'''alskfjaldsk23adsfabcabc'''
		assert kmp(pattern, texta) and not kmp(pattern, texta)

		# Test 2)
		lowerCAmelCase__    :List[str]       =				'''ABABX'''
		lowerCAmelCase__    :int       =				'''ABABZABABYABABX'''
		assert kmp(pattern, text)

		# Test 3)
		lowerCAmelCase__    :int       =				'''AAAB'''
		lowerCAmelCase__    :Any       =				'''ABAAAAAB'''
		assert kmp(pattern, text)

		# Test 4)
		lowerCAmelCase__    :Union[str, Any]       =				'''abcdabcy'''
		lowerCAmelCase__    :Any       =				'''abcxabcdabxabcdabcdabcy'''
		assert kmp(pattern, text)

		# Test 5)
		lowerCAmelCase__    :List[Any]       =				'''aabaabaaa'''
		assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]
