






'''simple docstring'''







from __future__ import annotations
def     A__      (					__lowerCAmelCase		:      str ,     __lowerCAmelCase		:      list[str] | None = None    ):
						lowerCamelCase__								=	word_bank or []
						# create a table
						lowerCamelCase__								=	len(__lowerCAmelCase    ) + 1

						lowerCamelCase__								=	[]
						for _ in range(__lowerCAmelCase    ):
												table.append([]    )
						# seed value
						lowerCamelCase__								=	[[]]  # 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:
																														lowerCamelCase__								=	[
																														    [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'],
							    )
							)




"""simple docstring"""




from __future__ import annotations

def 						A							(  snake_case__     ):




			'''simple docstring'''


			for i in range(1		,					len(matrix[0]     )     ):
						matrix[0][i] += matrix[0][i - 1]

			# preprocessing the first column
			for i in range(1		,					len(snake_case__     )     ):
						matrix[i][0] += matrix[i - 1][0]

			# updating the path cost for current position
			for i in range(1		,					len(snake_case__     )     ):
						for j in range(1		,					len(matrix[0]     )     ):
									matrix[i][j] += min(matrix[i - 1][j]		,					matrix[i][j - 1]     )

			return matrix[-1][-1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()


