


from __future__ import annotations

def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					list[int]			,     SCREAMING_SNAKE_CASE__			:					int				):
     __UpperCamelCase    							=[]
     __UpperCamelCase    							=[]
     __UpperCamelCase    							=0
     __UpperCamelCase    							=sum(SCREAMING_SNAKE_CASE__				)
     create_state_space_tree(SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__				)
     return result

def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					list[int]			,     SCREAMING_SNAKE_CASE__			:					int			,     SCREAMING_SNAKE_CASE__			:					int			,     SCREAMING_SNAKE_CASE__			:					list[int]			,     SCREAMING_SNAKE_CASE__			:					list[list[int]]			,     SCREAMING_SNAKE_CASE__			:					int			,     ):
     if sum(SCREAMING_SNAKE_CASE__				) > max_sum or (remaining_nums_sum + sum(SCREAMING_SNAKE_CASE__				)) < max_sum:
          return
     if sum(SCREAMING_SNAKE_CASE__				) == max_sum:
          result.append(SCREAMING_SNAKE_CASE__				)
          return
     for index in range(SCREAMING_SNAKE_CASE__			,     len(SCREAMING_SNAKE_CASE__				)				):
          create_state_space_tree(
              SCREAMING_SNAKE_CASE__			,     SCREAMING_SNAKE_CASE__			,     index + 1			,     [*path, nums[index]]			,     SCREAMING_SNAKE_CASE__			,     remaining_nums_sum - nums[index]			,     )
_A		       =						[3, 34, 4, 12, 5, 2]
_A		       =						9
_A		       =						generate_sum_of_subsets_soln(nums, max_sum)





print(*result)









from numpy import exp, pi, sqrt

def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					Tuple			,     SCREAMING_SNAKE_CASE__			:					float = 0.0			,     SCREAMING_SNAKE_CASE__			:					float = 1.0				):
     return 1 / sqrt(2 * pi * sigma**2				) * exp(-((x - mu) ** 2) / (2 * sigma**2)				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()





