You are given a collection of numbered balls and instructed to sort them into boxes for a nearly balanced distribution. There are two rules you must follow:
Return the fewest number of boxes to sort these balls following these rules.
\n\n\n
Example 1:
\n\nInput: balls = [3,2,3,2,3]
\n\nOutput: 2
\n\nExplanation:
\n\nWe can sort balls into boxes as follows:
[3,3,3][2,2]The size difference between the two boxes doesn't exceed one.
\nExample 2:
\n\nInput: balls = [10,10,10,3,1,1]
\n\nOutput: 4
\n\nExplanation:
\n\nWe can sort balls into boxes as follows:
[10][10,10][3][1,1]You can't use fewer than four boxes while still following the rules. For example, putting all three balls numbered 10 in one box would break the rule about the maximum size difference between boxes.
\n\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109给你一组带编号的 balls 并要求将它们分类到盒子里，以便均衡地分配。你必须遵守两条规则：
返回遵循上述规则排列这些球所需要的盒子的最小数目。
\n\n\n\n
示例 1：
\n\n\n输入：balls = [3,2,3,2,3]\n输出：2\n解释：一个得到 2 个分组的方案如下，中括号内的数字都是下标：\n我们可以如下排列 balls 到盒子里：\n- [3,3,3]\n- [2,2]\n两个盒子之间的大小差没有超过 1。\n\n
示例 2：
\n\n\n输入：balls = [10,10,10,3,1,1]\n输出：4\n解释：我们可以如下排列 balls 到盒子里：\n- [10]\n- [10,10]\n- [3]\n- [1,1]\n无法得到一个遵循上述规则且小于 4 盒的答案。例如，把所有三个编号为 10 的球都放在一个盒子里，就会打破盒子之间最大尺寸差异的规则。\n\n\n
\n\n
提示：
\n\n1 <= balls.length <= 1051 <= balls[i] <= 109x in the range [1, minimum_frequency], try to create groups with either x or x + 1 indices assigned to them while minimizing the total number of groups.",
"For each distinct number, using its frequency, check that all its occurrences can be assigned to groups of size x or x + 1 while minimizing the number of groups used.",
"To get the minimum number of groups needed for a number having frequency f to be assigned to groups of size x or x + 1, let a = f / (x + 1) and b = f % (x + 1). b == 0, then we can simply create a groups of size x + 1.x - b <= a, we can have a - (x - b) groups of size x + 1 and x - b + 1 groups of size x. So, in total, we have a + 1 groups.x is the total minimized number of groups needed for each distinct number.",
"The answer is the minimum number of groups needed for each x in the range [1, minimum_frequency]."
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