'''simple docstring'''

from __future__ import annotations


def __a (	__lowerCamelCase			:						str ,		__lowerCamelCase			:						list[str] | None = None				)	->							list[list[str]]:
      '''simple docstring'''


      lowercase_     =      word_bank or []
      # create a table
      lowercase_     =      len(__lowerCamelCase				) + 1

      lowercase_     =      []
      for _ in range(__lowerCamelCase				):
            table.append([]				)
      # seed value
      lowercase_     =      [[]]  # 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_     =      [
                                  [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'''

def __a (	__lowerCamelCase			:						int = 600_851_475_143				)	->							int:
      '''simple docstring'''


      try:
            lowercase_     =      int(__lowerCamelCase				)
      except (TypeError, ValueError):
            raise TypeError("Parameter n must be int or castable to int."				)
      if n <= 0:
            raise ValueError("Parameter n must be greater than or equal to one."				)
      lowercase_     =      1
      lowercase_     =      2
      while i * i <= n:
            while n % i == 0:
                  lowercase_     =      i
                  n //= i
            i += 1
      if n > 1:
            lowercase_     =      n
      return int(__lowerCamelCase				)


if __name__ == "__main__":
       print(F'''{solution() = }''')






