A shop is selling candies at a discount. For every two candies sold, the shop gives a third candy for free.
The customer can choose any candy to take away for free as long as the cost of the chosen candy is less than or equal to the minimum cost of the two candies bought.
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For example, if there are 4candies with costs 1, 2, 3, and 4, and the customer buys candies with costs 2and 3, they can take the candy with cost 1for free, but not the candy with cost 4.
Given a 0-indexed integer array cost, where cost[i]denotes the cost of the ithcandy, return the minimum cost of buying all the candies.
Example 1:
Input: cost = [1,2,3]Output: 5Explanation: We buy the candies with costs 2 and 3, and take the candy with cost 1 for free.The total cost of buying all candies is 2 + 3 = 5. This is the only way we can buy the candies.Note that we cannot buy candies with costs 1 and 3, and then take the candy with cost 2 for free.The cost of the free candy has to be less than or equal to the minimum cost of the purchased candies.
Example 2:
Input: cost = [6,5,7,9,2,2]Output: 23Explanation: The way in which we can get the minimum cost is described below:- Buy candies with costs 9 and 7- Take the candy with cost 6 for free- We buy candies with costs 5 and 2- Take the last remaining candy with cost 2 for freeHence, the minimum cost to buy all candies is 9 + 7 + 5 + 2 = 23.
Example 3:
Input: cost = [5,5]Output: 10Explanation: Since there are only 2 candies, we buy both of them. There is not a third candy we can take for free.Hence, the minimum cost to buy all candies is 5 + 5 = 10.
Constraints:
1 <= cost.length <= 100
1 <= cost[i] <= 100
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Hide Hint 1
If we consider costs from high to low, what is the maximum cost of a single candy that we can get for free?
Hide Hint 2
How can we generalize this approach to maximize the costs of the candies we get for free?
Hide Hint 3
Can “sorting” the array help us find the minimum cost?
Hide Hint 4
If we consider costs from high to low, what is the maximum cost of a single candy that we can get for free?
Hide Hint 5
How can we generalize this approach to maximize the costs of the candies we get for free?
Hide Hint 6
Can “sorting” the array help us find the minimum cost?
对于最大的值，肯定只能自费了，次之也是只能自费的，第3个才能免费的，
所以需要先排序，然后判断跟3余数的关系去累加，也可以依次遍历（从后向前到3了，免费1次）。
Runtime: 2 ms, faster than 100.00% of Java online submissions for Minimum Cost of Buying Candies With Discount.
Memory Usage: 42 MB, less than 48.10% of Java online submissions for Minimum Cost of Buying Candies With Discount.
