





from __future__ import annotations
class      UpperCamelCase_						:




					def __init__(						self			,  lowerCAmelCase_			,  lowerCAmelCase_					)						->							List[str]:
										_snake_case							,       _snake_case													=			text, pattern
										_snake_case							,       _snake_case													=			len(lowerCAmelCase_					), len(lowerCAmelCase_					)




					def 		lowerCAmelCase     (						self			,  lowerCAmelCase_					)						->							int:

										for i in range(self.patLen - 1			,  -1			,  -1					):
															if char == self.pattern[i]:
																				return i
										return -1




					def 		lowerCAmelCase     (						self			,  lowerCAmelCase_					)						->							int:

										for i in range(self.patLen - 1			,  -1			,  -1					):
															if self.pattern[i] != self.text[current_pos + i]:
																				return current_pos + i
										return -1






					def 		lowerCAmelCase     (						self					)						->							list[int]:
										# searches pattern in text and returns index positions
										_snake_case													=			[]
										for i in range(self.textLen - self.patLen + 1					):
															_snake_case													=			self.mismatch_in_text(lowerCAmelCase_					)
															if mismatch_index == -1:
																				positions.append(lowerCAmelCase_					)
															else:
																				_snake_case													=			self.match_in_pattern(self.text[mismatch_index]					)
																				_snake_case													=			(
																				    mismatch_index - match_index
																				)  # shifting index lgtm [py/multiple-definition]
										return positions





UpperCAmelCase_ 							=       """ABAABA"""
UpperCAmelCase_ 							=       """AB"""
UpperCAmelCase_ 							=       BoyerMooreSearch(text, pattern)
UpperCAmelCase_ 							=       bms.bad_character_heuristic()

if len(positions) == 0:
					print("""No match found""")
else:
					print("""Pattern found in following positions: """)
					print(positions)










def   lowerCamelCase__       (       UpperCamelCase__     :    list[list[int]]    ,      UpperCamelCase__     :    int    ,      UpperCamelCase__     :    int    ,      UpperCamelCase__     :    list[int]  )     ->	bool:



					'''simple docstring'''




					if graph[path[curr_ind - 1]][next_ver] == 0:
										return False

					# 2. Validate that next vertex is not already in path
					return not any(vertex == next_ver for vertex in path  )





def   lowerCamelCase__       (       UpperCamelCase__     :    list[list[int]]    ,      UpperCamelCase__     :    list[int]    ,      UpperCamelCase__     :    int  )     ->	bool:



					'''simple docstring'''




					if curr_ind == len(UpperCamelCase__  ):
										# return whether path exists between current and starting vertices
										return graph[path[curr_ind - 1]][path[0]] == 1

					# Recursive Step
					for next_ver in range(0    ,      len(UpperCamelCase__  )  ):
										if valid_connection(UpperCamelCase__    ,      UpperCamelCase__    ,      UpperCamelCase__    ,      UpperCamelCase__  ):
															# Insert current vertex  into path as next transition
															_snake_case													=			next_ver
															# Validate created path
															if util_hamilton_cycle(UpperCamelCase__    ,      UpperCamelCase__    ,      curr_ind + 1  ):
																				return True
															# Backtrack
															_snake_case													=			-1
					return False





def   lowerCamelCase__       (       UpperCamelCase__     :    list[list[int]]    ,      UpperCamelCase__     :    int = 0  )     ->	list[int]:



					'''simple docstring'''




					_snake_case													=			[-1] * (len(UpperCamelCase__  ) + 1)
					# initialize start and end of path with starting index
					_snake_case													=			_snake_case													=			start_index
					# evaluate and if we find answer return path either return empty array
					return path if util_hamilton_cycle(UpperCamelCase__    ,      UpperCamelCase__    ,      1  ) else []



