



def      lowerCAmelCase_					(  _lowercase    :       int						,       _lowercase    :       list[int]						,       _lowercase    :       int)							->	int:







			"""simple docstring"""

			def count_of_possible_combinations(_lowercase    :       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(_UpperCamelCase)

def      lowerCAmelCase_					(  _lowercase    :       int						,       _lowercase    :       list[int]						,       _lowercase    :       int)							->	int:







			"""simple docstring"""

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

			a__       :						Union[str, Any]							=  [-1] * (target + 1)
			return count_of_possible_combinations_with_dp_array(_UpperCamelCase						,       _UpperCamelCase)

def      lowerCAmelCase_					(  _lowercase    :       int						,       _lowercase    :       list[int]						,       _lowercase    :       int)							->	int:







			"""simple docstring"""
			a__       :						Union[str, Any]							=  [0] * (target + 1)
			a__       :						List[str]							=  1

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

			return dp_array[target]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		_lowercase		:				Tuple      		=3
		_lowercase		:				int      		=5
		_lowercase		:				Optional[int]      		=[1, 2, 5]
		print(combination_sum_iv(n, array, target))









from __future__ import annotations

def      lowerCAmelCase_					(  _lowercase    :       float						,       _lowercase    :       float						,       _lowercase    :       float						,       )							->	tuple[str, float]:







			"""simple docstring"""
			if (stress, tangential_force, area).count(0) != 1:
						raise ValueError("""You cannot supply more or less than 2 values""")
			elif stress < 0:
						raise ValueError("""Stress cannot be negative""")
			elif tangential_force < 0:
						raise ValueError("""Tangential Force cannot be negative""")
			elif area < 0:
						raise ValueError("""Area cannot be negative""")
			elif stress == 0:
						return (
						    "stress",
						    tangential_force / area,
						)
			elif tangential_force == 0:
						return (
						    "tangential_force",
						    stress * area,
						)
			else:
						return (
						    "area",
						    tangential_force / stress,
						)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




