






from __future__ import annotations

from random import choice



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			Optional[Any]    )						->      Any:





    """simple docstring"""

    return choice(__lowercase    )



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			list[int]			,				__lowercase   :			int    )						->      int:





    """simple docstring"""

    __A         =	random_pivot(__lowercase    )

    # partition based on pivot
    # linear time
    __A         =	[e for e in lst if e < pivot]
    __A         =	[e for e in lst if e > pivot]

    # if we get lucky, pivot might be the element we want.
    # we can easily see this:
    # small (elements smaller than k)
    # + pivot (kth element)
    # + big (elements larger than k)
    if len(__lowercase    ) == k - 1:
        return pivot
    # pivot is in elements bigger than k
    elif len(__lowercase    ) < k - 1:
        return kth_number(__lowercase			,				k - len(__lowercase    ) - 1    )
    # pivot is in elements smaller than k
    else:
        return kth_number(__lowercase			,				__lowercase    )


if __name__ == "__main__":
  import doctest

  doctest.testmod()












from __future__ import annotations



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			list[int]			,				__lowercase   :			int    )						->      list[list[int]]:





    """simple docstring"""

    __A         =	[]
    __A         =	[]
    __A         =	0
    __A         =	sum(__lowercase    )
    create_state_space_tree(__lowercase			,				__lowercase			,				__lowercase			,				__lowercase			,				__lowercase			,				__lowercase    )
    return result



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			list[int]			,				__lowercase   :			int			,				__lowercase   :			int			,				__lowercase   :			list[int]			,				__lowercase   :			list[list[int]]			,				__lowercase   :			int			,				)						->      None:





    """simple docstring"""

    if sum(__lowercase    ) > max_sum or (remaining_nums_sum + sum(__lowercase    )) < max_sum:
        return
    if sum(__lowercase    ) == max_sum:
        result.append(__lowercase    )
        return
    for index in range(__lowercase			,				len(__lowercase    )    ):
        create_state_space_tree(
            __lowercase			,				__lowercase			,				index + 1			,				[*path, nums[index]]			,				__lowercase			,				remaining_nums_sum - nums[index]			,				)
__a      :       str				  =   [3, 34, 4, 12, 5, 2]
__a      :       Optional[Any]				  =   9
__a      :       List[str]				  =   generate_sum_of_subsets_soln(nums, max_sum)






print(*result)




