





def 			A__							(    SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__)   ->    int:





  def count_of_possible_combinations(SCREAMING_SNAKE_CASE__) -> int:
    if target < 0:
      return 0
    if target == 0:
      return 1
    return sum(count_of_possible_combinations(target - item) for item in array)

  return count_of_possible_combinations(__snake_case)







def 			A__							(    SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__)   ->    int:





  def count_of_possible_combinations_with_dp_array(
      SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__) -> int:
    if target < 0:
      return 0
    if target == 0:
      return 1
    if dp_array[target] != -1:
      return dp_array[target]
    __snake_case:						int   =						sum(
        count_of_possible_combinations_with_dp_array(target - item					,					__snake_case)
        for item in array)
    __snake_case:						Optional[Any]   =						answer
    return answer

  __snake_case:						str   =						[-1] * (target + 1)
  return count_of_possible_combinations_with_dp_array(__snake_case					,					__snake_case)







def 			A__							(    SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__					,					SCREAMING_SNAKE_CASE__)   ->    int:
  __snake_case:						Any   =						[0] * (target + 1)
  __snake_case:						int   =						1

  for i in range(1					,					target + 1):
    for j in range(__snake_case):
      if i - array[j] >= 0:
        dp_array[i] += dp_array[i - array[j]]

  return dp_array[target]


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      __UpperCAmelCase       :   int				       =							3
      __UpperCAmelCase       :   Union[str, Any]				       =							5
      __UpperCAmelCase       :   Optional[Any]				       =							[1, 2, 5]
      print(combination_sum_iv(n, array, target))








"""simple docstring"""





from graphs.minimum_spanning_tree_kruskal import kruskal



def       lowerCamelCase__		(			)							->		List[Any]:


					"""simple docstring"""





					_UpperCamelCase							 =  9
					_UpperCamelCase							 =  [
					    [0, 1, 4],
					    [0, 7, 8],
					    [1, 2, 8],
					    [7, 8, 7],
					    [7, 6, 1],
					    [2, 8, 2],
					    [8, 6, 6],
					    [2, 3, 7],
					    [2, 5, 4],
					    [6, 5, 2],
					    [3, 5, 14],
					    [3, 4, 9],
					    [5, 4, 10],
					    [1, 7, 11],
					]

					_UpperCamelCase							 =  kruskal(__snake_case,     __snake_case	)

					_UpperCamelCase							 =  [
					    [7, 6, 1],
					    [2, 8, 2],
					    [6, 5, 2],
					    [0, 1, 4],
					    [2, 5, 4],
					    [2, 3, 7],
					    [0, 7, 8],
					    [3, 4, 9],
					]

					assert sorted(__snake_case	) == sorted(__snake_case	)






