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Closest Dessert Cost

You would like to make dessert and are preparing to buy the ingredients.

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:

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.

Example 1

Input: baseCosts = [1,7], toppingCosts = [3,4], target = 10

Output: 10

Explanation: Consider the following combination (all 0-indexed): - Choose base 1: cost 7 - Take 1 of topping 0: cost 1 x 3 = 3 - Take 0 of topping 1: cost 0 x 4 = 0 Total: 7 + 3 + 0 = 10.

Example 2

Input: baseCosts = [2,3], toppingCosts = [4,5,100], target = 18

Output: 17

Explanation: Consider the following combination (all 0-indexed): - Choose base 1: cost 3 - Take 1 of topping 0: cost 1 x 4 = 4 - Take 2 of topping 1: cost 2 x 5 = 10 - Take 0 of topping 2: cost 0 x 100 = 0 Total: 3 + 4 + 10 + 0 = 17. You cannot make a dessert with a total cost of 18.

Example 3

Input: baseCosts = [3,10], toppingCosts = [2,5], target = 9

Output: 8

Explanation: It is possible to make desserts with cost 8 and 10. Return 8 as it is the lower cost.

Constraints

  • n == baseCosts.length
  • m == toppingCosts.length
  • 1 <= n, m <= 10
  • 1 <= baseCosts[i], toppingCosts[i] <= 10^4
  • 1 <= target <= 10^4

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