There is a donuts shop that bakes donuts in batches of batchSize. They have a rule where they must serve all of the donuts of a batch before serving any donuts of the next batch. You are given an integer batchSize and an integer array groups, where groups[i] denotes that there is a group of groups[i] customers that will visit the shop. Each customer will get exactly one donut.
When a group visits the shop, all customers of the group must be served before serving any of the following groups. A group will be happy if they all get fresh donuts. That is, the first customer of the group does not receive a donut that was left over from the previous group.
\n\nYou can freely rearrange the ordering of the groups. Return the maximum possible number of happy groups after rearranging the groups.
\n\n\n
Example 1:
\n\n\nInput: batchSize = 3, groups = [1,2,3,4,5,6]\nOutput: 4\nExplanation: You can arrange the groups as [6,2,4,5,1,3]. Then the 1st, 2nd, 4th, and 6th groups will be happy.\n\n\n
Example 2:
\n\n\nInput: batchSize = 4, groups = [1,3,2,5,2,2,1,6]\nOutput: 4\n\n\n
\n
Constraints:
\n\n1 <= batchSize <= 91 <= groups.length <= 301 <= groups[i] <= 109有一个甜甜圈商店，每批次都烤 batchSize 个甜甜圈。这个店铺有个规则，就是在烤一批新的甜甜圈时，之前 所有 甜甜圈都必须已经全部销售完毕。给你一个整数 batchSize 和一个整数数组 groups ，数组中的每个整数都代表一批前来购买甜甜圈的顾客，其中 groups[i] 表示这一批顾客的人数。每一位顾客都恰好只要一个甜甜圈。
当有一批顾客来到商店时，他们所有人都必须在下一批顾客来之前购买完甜甜圈。如果一批顾客中第一位顾客得到的甜甜圈不是上一组剩下的，那么这一组人都会很开心。
\n\n你可以随意安排每批顾客到来的顺序。请你返回在此前提下，最多 有多少组人会感到开心。
\n\n\n\n
示例 1：
\n\n\n输入：batchSize = 3, groups = [1,2,3,4,5,6]\n输出：4\n解释：你可以将这些批次的顾客顺序安排为 [6,2,4,5,1,3] 。那么第 1，2，4，6 组都会感到开心。\n\n\n
示例 2：
\n\n\n输入：batchSize = 4, groups = [1,3,2,5,2,2,1,6]\n输出：4\n\n\n
\n\n
提示：
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