

def 						UpperCamelCase (lowercase_:			List[Any]   ,				lowercase_:			int   ,				lowercase_:			List[Any] )					->				int:





	def count_of_possible_combinations(lowercase_:			Any ) -> 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 						UpperCamelCase (lowercase_:			Optional[Any]   ,				lowercase_:			Dict   ,				lowercase_:			Union[str, Any] )					->				int:





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

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

def 						UpperCamelCase (lowercase_:			Optional[Any]   ,				lowercase_:			List[Any]   ,				lowercase_:			int )					->				int:
	A__							:   Optional[Any]					       =		[0] * (target + 1)
	A__							:   Any					       =		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()
							A_	:			List[str]  	=      3
							A_	:			str  	=      5
							A_	:			Union[str, Any]  	=      [1, 2, 5]
							print(combination_sum_iv(n, array, target))






from __future__ import annotations

def 						UpperCamelCase (lowercase_:			list[int]   ,				lowercase_:			list[int]   ,				lowercase_:			int )					->				tuple[float, list[float]]:
	A__							:   Tuple					       =		list(range(len(lowercase_ ) ) )
	A__							:   Union[str, Any]					       =		[v / w for v, w in zip(lowercase_   ,				lowercase_ )]
	index.sort(key=lambda lowercase_ : ratio[i]   ,				reverse=lowercase_ )

	A__							:   float					       =		0
	A__							:   list[float]					       =		[0] * len(lowercase_ )
	for i in index:
		if weight[i] <= capacity:
			A__							:   Optional[int]					       =		1
			max_value += value[i]
			capacity -= weight[i]
		else:
			A__							:   Union[str, Any]					       =		capacity / weight[i]
			max_value += value[i] * capacity / weight[i]
			break

	return max_value, fractions


if __name__ == "__main__":
	import doctest

	doctest.testmod()



