




"""simple docstring"""







import sys

def 						snake_case__       (					_lowerCamelCase				)			->Union[str, Any]:






		"""simple docstring"""


		__lowercase				:		Tuple												=				len(_lowerCamelCase				)
		__lowercase				:		str												=				[[0 for x in range(_lowerCamelCase				)] for x in range(_lowerCamelCase				)]
		__lowercase				:		List[str]												=				[[0 for x in range(_lowerCamelCase				)] for x in range(_lowerCamelCase				)]

		for chain_length in range(2,  _lowerCamelCase				):
				for a in range(1,  n - chain_length + 1				):
						__lowercase				:		str												=				a + chain_length - 1

						__lowercase				:		Any												=				sys.maxsize
						for c in range(_lowerCamelCase,  _lowerCamelCase				):
								__lowercase				:		Optional[Any]												=				(
								    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
								)
								if cost < matrix[a][b]:
										__lowercase				:		Dict												=				cost
										__lowercase				:		Any												=				c
		return matrix, sol

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)			->Optional[Any]:






		"""simple docstring"""


		if i == j:
				print("A" + str(_lowerCamelCase				),  end=" "				)
		else:
				print("(",  end=" "				)
				print_optiomal_solution(_lowerCamelCase,  _lowerCamelCase,  optimal_solution[i][j]				)
				print_optiomal_solution(_lowerCamelCase,  optimal_solution[i][j] + 1,  _lowerCamelCase				)
				print(")",  end=" "				)

def 						snake_case__       (					)			->Optional[Any]:






		"""simple docstring"""


		__lowercase				:		Optional[int]												=				[30, 35, 15, 5, 10, 20, 25]
		__lowercase				:		int												=				len(_lowerCamelCase				)
		# Size of matrix created from above array will be
		# 30*35 35*15 15*5 5*10 10*20 20*25
		__lowercase				:		List[Any]												=				matrix_chain_order(_lowerCamelCase				)

		print("No. of Operation required: " + str(matrix[1][n - 1]				)				)
		print_optiomal_solution(_lowerCamelCase,  1,  n - 1				)


if __name__ == "__main__":
							main()






"""simple docstring"""







from __future__ import annotations

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase = None				)			->list[list[str]]:






		"""simple docstring"""


		__lowercase				:		List[Any]												=				word_bank or []
		# create a table
		__lowercase				:		int												=				len(_lowerCamelCase				) + 1

		__lowercase				:		list[list[list[str]]]												=				[]
		for _ in range(_lowerCamelCase				):
				table.append([]				)
		# seed value
		__lowercase				:		Any												=				[[]]  # because empty string has empty combination

		# iterate through the indices
		for i in range(_lowerCamelCase				):
				# condition
				if table[i] != []:
						for word in word_bank:
								# slice condition
								if target[i : i + len(_lowerCamelCase				)] == word:
										__lowercase				:		list[list[str]]												=				[
										    [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(_lowerCamelCase				)] += new_combinations

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

		return table[len(_lowerCamelCase				)]


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'],
						    )
						)
