


"""simple docstring"""


def   snake_case						(				_a:     int		,   _a:     Any							)->		Dict:
      '''simple docstring'''


      lowerCamelCase__           =		(boundary[1] - boundary[0]) / steps
      lowerCamelCase__           =		boundary[0]
      lowerCamelCase__           =		boundary[1]
      lowerCamelCase__           =		make_points(SCREAMING_SNAKE_CASE_		,   SCREAMING_SNAKE_CASE_		,   SCREAMING_SNAKE_CASE_							)
      lowerCamelCase__           =		0.0
      y += (h / 2.0) * f(SCREAMING_SNAKE_CASE_							)
      for i in x_i:
            # print(i)
            y += h * f(SCREAMING_SNAKE_CASE_							)
      y += (h / 2.0) * f(SCREAMING_SNAKE_CASE_							)
      return y



def   snake_case						(				_a:     Dict		,   _a:     Optional[int]		,   _a:     int							)->		Tuple:
      '''simple docstring'''


      lowerCamelCase__           =		a + h
      while x < (b - h):
            yield x
            lowerCamelCase__           =		x + h



def   snake_case						(				_a:     List[Any]							)->		Optional[Any]:  # enter your function here
      '''simple docstring'''


      lowerCamelCase__           =		(x - 0) * (x - 0)
      return y



def   snake_case						(				)->		List[str]:
      '''simple docstring'''


      lowerCamelCase__           =		0.0  # Lower bound of integration
      lowerCamelCase__           =		1.0  # Upper bound of integration
      lowerCamelCase__           =		10.0  # define number of steps or resolution
      lowerCamelCase__           =		[a, b]  # define boundary of integration
      lowerCamelCase__           =		method_a(SCREAMING_SNAKE_CASE_		,   SCREAMING_SNAKE_CASE_							)
      print(F'y = {y}'							)


if __name__ == "__main__":
      main()







"""simple docstring"""


def   snake_case						(				_a:     int		,   _a:     list[int]		,   _a:     int							)->		int:
      '''simple docstring'''


      def count_of_possible_combinations(_a:     int							) -> 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(_a							)



def   snake_case						(				_a:     int		,   _a:     list[int]		,   _a:     int							)->		int:
      '''simple docstring'''


      def count_of_possible_combinations_with_dp_array(
          _a:     int		,   _a:     list[int]							) -> int:
            if target < 0:
                  return 0
            if target == 0:
                  return 1
            if dp_array[target] != -1:
                  return dp_array[target]
            lowerCamelCase__           =		sum(
                count_of_possible_combinations_with_dp_array(target - item		,   _a							)
                for item in array							)
            lowerCamelCase__           =		answer
            return answer

      lowerCamelCase__           =		[-1] * (target + 1)
      return count_of_possible_combinations_with_dp_array(_a		,   _a							)



def   snake_case						(				_a:     int		,   _a:     list[int]		,   _a:     int							)->		int:
      '''simple docstring'''


      lowerCamelCase__           =		[0] * (target + 1)
      lowerCamelCase__           =		1

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

      return dp_array[target]


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   _snake_case          =							3
   _snake_case          =							5
   _snake_case          =							[1, 2, 5]
   print(combination_sum_iv(n, array, target))



