



from collections.abc import Callable



class     _UpperCAmelCase			:




     def __init__(				self ,						a__ = None):
         # Stores actual heap items.
         A__		 =					[]
         # Stores indexes of each item for supporting updates and deletion.
         A__		 =					{}
         # Stores current size of heap.
         A__		 =					0
         # Stores function used to evaluate the score of an item on which basis ordering
         # will be done.
         A__		 =					key or (lambda a__: x)




     def 		snake_case_		(				self ,						a__):
         return int((i - 1) / 2) if i > 0 else None




     def 		snake_case_		(				self ,						a__):
         A__		 =					int(2 * i + 1)
         return left if 0 < left < self.size else None




     def 		snake_case_		(				self ,						a__):
         A__		 =					int(2 * i + 2)
         return right if 0 < right < self.size else None




     def 		snake_case_		(				self ,						a__ ,						a__):
         A__ ,	A__		 =					(
             self.pos_map[self.arr[j][0]],
             self.pos_map[self.arr[i][0]],
         )
         # Then swap the items in the list.
         A__ ,	A__		 =					self.arr[j], self.arr[i]




     def 		snake_case_		(				self ,						a__ ,						a__):
         return self.arr[i][1] < self.arr[j][1]




     def 		snake_case_		(				self ,						a__):
         A__		 =					self._left(a__)
         A__		 =					self._right(a__)
         A__		 =					i

         if left is not None and not self._cmp(a__ ,						a__):
             A__		 =					left
         if right is not None and not self._cmp(a__ ,						a__):
             A__		 =					right

         return valid_parent




     def 		snake_case_		(				self ,						a__):
         A__		 =					self._parent(a__)
         while parent is not None and not self._cmp(a__ ,						a__):
             self._swap(a__ ,						a__)
             A__ ,	A__		 =					parent, self._parent(a__)




     def 		snake_case_		(				self ,						a__):
         A__		 =					self._get_valid_parent(a__)
         while valid_parent != index:
             self._swap(a__ ,						a__)
             A__ ,	A__		 =					valid_parent, self._get_valid_parent(a__)




     def 		snake_case_		(				self ,						a__ ,						a__):
         if item not in self.pos_map:
             return
         A__		 =					self.pos_map[item]
         A__		 =					[item, self.key(a__)]
         # Make sure heap is right in both up and down direction.
         # Ideally only one of them will make any change.
         self._heapify_up(a__)
         self._heapify_down(a__)




     def 		snake_case_		(				self ,						a__):
         if item not in self.pos_map:
             return
         A__		 =					self.pos_map[item]
         del self.pos_map[item]
         A__		 =					self.arr[self.size - 1]
         A__		 =					index
         self.size -= 1
         # Make sure heap is right in both up and down direction. Ideally only one
         # of them will make any change- so no performance loss in calling both.
         if self.size > index:
             self._heapify_up(a__)
             self._heapify_down(a__)




     def 		snake_case_		(				self ,						a__ ,						a__):
         A__		 =					len(self.arr)
         if arr_len == self.size:
             self.arr.append([item, self.key(a__)])
         else:
             A__		 =					[item, self.key(a__)]
         A__		 =					self.size
         self.size += 1
         self._heapify_up(self.size - 1)




     def 		snake_case_		(				self):
         return self.arr[0] if self.size else None




     def 		snake_case_		(				self):
         A__		 =					self.get_top()
         if top_item_tuple:
             self.delete_item(top_item_tuple[0])
         return top_item_tuple







def 		lowerCAmelCase__    (					)->  None:
    pass


if __name__ == "__main__":
   import doctest

   doctest.testmod()








from __future__ import annotations



def 		lowerCAmelCase__    (					UpperCamelCase_				:       str ,       UpperCamelCase_				:       list[str] | None = None	)->  list[list[str]]:
    A__		 =					word_bank or []
    # create a table
    A__		 =					len(UpperCamelCase_	) + 1

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

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

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

    return table[len(UpperCamelCase_	)]


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"],
       )
   )
