Medium
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:
baseCosts
, 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.
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] <= 104
1 <= target <= 104
class Solution {
private var finalValue = Int.MAX_VALUE
fun closestCost(baseCosts: IntArray, toppingCosts: IntArray, target: Int): Int {
for (baseCost in baseCosts) {
closestCost(baseCost, toppingCosts, target, 0)
}
return finalValue
}
private fun closestCost(curCost: Int, toppingCosts: IntArray, target: Int, index: Int) {
if (index >= toppingCosts.size || curCost >= target) {
if (Math.abs(target - curCost) < Math.abs(target - finalValue)) {
finalValue = curCost
} else if (Math.abs(target - curCost) == Math.abs(target - finalValue) &&
target < finalValue
) {
finalValue = curCost
}
return
}
closestCost(curCost, toppingCosts, target, index + 1)
closestCost(curCost + toppingCosts[index], toppingCosts, target, index + 1)
closestCost(curCost + toppingCosts[index] * 2, toppingCosts, target, index + 1)
}
}