"""
Program to list all the ways a target string can be
constructed from the given list of substrings
"""

from __future__ import annotations


def all_construct(target: str, word_bank: list[str] | None = None) -> list[list[str]]:
 """
 returns the list containing all the possible
 combinations a string(`target`) can be constructed from
 the given list of substrings(`word_bank`)

 >>> all_construct("hello", ["he", "l", "o"])
 [['he', 'l', 'l', 'o']]
 >>> all_construct("purple",["purp","p","ur","le","purpl"])
 [['purp', 'le'], ['p', 'ur', 'p', 'le']]
 """

 word_bank = word_bank or []
 # create a table
 table_size: int = len(target) + 1

 table: list[list[list[str]]] = []
 for _ in range(table_size):
 table.append([])
 # seed value
 table[0] = [[]] # because empty string has empty combination

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

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

 return table[len(target)]


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"],
 )
 )