

from __future__ import annotations

from collections import deque

class 					a__						:
			"""simple docstring"""







			def __init__(    self      ,      lowercase       )  ->						List[str]:
							'''simple docstring'''






							A__        =			[]
							self.adlist.append(
							    {"value": "", "next_states": [], "fail_state": 0, "output": []}       )

							for keyword in keywords:
											self.add_keyword(lowercase       )
							self.set_fail_transitions()


			def      UpperCamelCase		(    self      ,      lowercase      ,      lowercase       )  ->						int | None:
							'''simple docstring'''






							for state in self.adlist[current_state]["next_states"]:
											if char == self.adlist[state]["value"]:
															return state
							return None


			def      UpperCamelCase		(    self      ,      lowercase       )  ->						None:
							'''simple docstring'''






							A__        =			0
							for character in keyword:
											A__        =			self.find_next_state(lowercase      ,      lowercase       )
											if next_state is None:
															self.adlist.append(
															    {
															        "value": character,
															        "next_states": [],
															        "fail_state": 0,
															        "output": [],
															    }       )
															self.adlist[current_state]["next_states"].append(len(self.adlist       ) - 1       )
															A__        =			len(self.adlist       ) - 1
											else:
															A__        =			next_state
							self.adlist[current_state]["output"].append(lowercase       )


			def      UpperCamelCase		(    self       )  ->						None:
							'''simple docstring'''






							A__        =			deque()
							for node in self.adlist[0]["next_states"]:
											q.append(lowercase       )
											A__        =			0
							while q:
											A__        =			q.popleft()
											for child in self.adlist[r]["next_states"]:
															q.append(lowercase       )
															A__        =			self.adlist[r]["fail_state"]
															while (
															    self.find_next_state(lowercase      ,      self.adlist[child]["value"]       ) is None
															    and state != 0
															):
																			A__        =			self.adlist[state]["fail_state"]
															A__        =			self.find_next_state(
															    lowercase      ,      self.adlist[child]["value"]       )
															if self.adlist[child]["fail_state"] is None:
																			A__        =			0
															A__        =			(
															    self.adlist[child]["output"]
															    + self.adlist[self.adlist[child]["fail_state"]]["output"]
															)


			def      UpperCamelCase		(    self      ,      lowercase       )  ->						dict[str, list[int]]:
							'''simple docstring'''






							A__        =			{}  # returns a dict with keywords and list of its occurrences
							A__        =			0
							for i in range(len(lowercase       )       ):
											while (
											    self.find_next_state(lowercase      ,      string[i]       ) is None
											    and current_state != 0
											):
															A__        =			self.adlist[current_state]["fail_state"]
											A__        =			self.find_next_state(lowercase      ,      string[i]       )
											if next_state is None:
															A__        =			0
											else:
															A__        =			next_state
															for key in self.adlist[current_state]["output"]:
																			if key not in result:
																							A__        =			[]
																			result[key].append(i - len(lowercase       ) + 1       )
							return result


if __name__ == "__main__":
	import doctest

	doctest.testmod()




from __future__ import annotations



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							str	,       SCREAMING_SNAKE_CASE_:							list[str] | None = None      )			->      list[list[str]]:




				'''simple docstring'''





				A__        =			word_bank or []
				# create a table
				A__        =			len(SCREAMING_SNAKE_CASE_      ) + 1

				A__        =			[]
				for _ in range(SCREAMING_SNAKE_CASE_      ):
								table.append([]      )
				# seed value
				A__        =			[[]]  # because empty string has empty combination

				# iterate through the indices
				for i in range(SCREAMING_SNAKE_CASE_      ):
								# condition
								if table[i] != []:
												for word in word_bank:
																# slice condition
																if target[i : i + len(SCREAMING_SNAKE_CASE_      )] == word:
																				A__        =			[
																				    [word, *way] for way in table[i]
																				]
																				# adds the word to every combination the current position holds
																				# now,push that combination to the table[i+len(word)]
																				table[i + len(SCREAMING_SNAKE_CASE_      )] += new_combinations

    # combinations are in reverse order so reverse for better output
				for combination in table[len(SCREAMING_SNAKE_CASE_      )]:
								combination.reverse()

				return table[len(SCREAMING_SNAKE_CASE_      )]


if __name__ == "__main__":
	print(all_construct("""jwajalapa""", ["""jwa""", """j""", """w""", """a""", """la""", """lapa"""]))
	print(all_construct("""rajamati""", ["""s""", """raj""", """amat""", """raja""", """ma""", """i""", """t"""]))
	print(
	    all_construct(
	        """hexagonosaurus""",
	        ["""h""", """ex""", """hex""", """ag""", """ago""", """ru""", """auru""", """rus""", """go""", """no""", """o""", """s"""],
	    )
	)

