You would like to make dessert and are preparing to buy the ingredients. You have n ice cream base flavors and m types of toppings to choose from. You must follow these rules when making your dessert:
You are given three inputs:
\n\nbaseCosts, an integer array of length n, where each baseCosts[i] represents the price of the ith ice cream base flavor.toppingCosts, an integer array of length m, where each toppingCosts[i] is the price of one of the ith topping.target, an integer representing your target price for dessert.You want to make a dessert with a total cost as close to target as possible.
Return the closest possible cost of the dessert to target. If there are multiple, return the lower one.
\n
Example 1:
\n\n\nInput: baseCosts = [1,7], toppingCosts = [3,4], target = 10\nOutput: 10\nExplanation: Consider the following combination (all 0-indexed):\n- Choose base 1: cost 7\n- Take 1 of topping 0: cost 1 x 3 = 3\n- Take 0 of topping 1: cost 0 x 4 = 0\nTotal: 7 + 3 + 0 = 10.\n\n\n
Example 2:
\n\n\nInput: baseCosts = [2,3], toppingCosts = [4,5,100], target = 18\nOutput: 17\nExplanation: Consider the following combination (all 0-indexed):\n- Choose base 1: cost 3\n- Take 1 of topping 0: cost 1 x 4 = 4\n- Take 2 of topping 1: cost 2 x 5 = 10\n- Take 0 of topping 2: cost 0 x 100 = 0\nTotal: 3 + 4 + 10 + 0 = 17. You cannot make a dessert with a total cost of 18.\n\n\n
Example 3:
\n\n\nInput: baseCosts = [3,10], toppingCosts = [2,5], target = 9\nOutput: 8\nExplanation: It is possible to make desserts with cost 8 and 10. Return 8 as it is the lower cost.\n\n\n
\n
Constraints:
\n\nn == baseCosts.lengthm == toppingCosts.length1 <= n, m <= 101 <= baseCosts[i], toppingCosts[i] <= 1041 <= target <= 104Compiled with clang 11 using the latest C++ 17 standard.
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