You are given a 0-indexed integer array nums of length n.
We want to group the indices so for each index i in the range [0, n - 1], it is assigned to exactly one group.
A group assignment is valid if the following conditions hold:
\n\ng, all indices i assigned to group g have the same value in nums.g1 and g2, the difference between the number of indices assigned to g1 and g2 should not exceed 1.Return an integer denoting the minimum number of groups needed to create a valid group assignment.
\n\n\n
Example 1:
\n\n\nInput: nums = [3,2,3,2,3]\nOutput: 2\nExplanation: One way the indices can be assigned to 2 groups is as follows, where the values in square brackets are indices:\ngroup 1 -> [0,2,4]\ngroup 2 -> [1,3]\nAll indices are assigned to one group.\nIn group 1, nums[0] == nums[2] == nums[4], so all indices have the same value.\nIn group 2, nums[1] == nums[3], so all indices have the same value.\nThe number of indices assigned to group 1 is 3, and the number of indices assigned to group 2 is 2.\nTheir difference doesn't exceed 1.\nIt is not possible to use fewer than 2 groups because, in order to use just 1 group, all indices assigned to that group must have the same value.\nHence, the answer is 2.\n\n
Example 2:
\n\n\nInput: nums = [10,10,10,3,1,1]\nOutput: 4\nExplanation: One way the indices can be assigned to 4 groups is as follows, where the values in square brackets are indices:\ngroup 1 -> [0]\ngroup 2 -> [1,2]\ngroup 3 -> [3]\ngroup 4 -> [4,5]\nThe group assignment above satisfies both conditions.\nIt can be shown that it is not possible to create a valid assignment using fewer than 4 groups.\nHence, the answer is 4.\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109给你一个长度为 n 下标从 0 开始的整数数组 nums 。
我们想将下标进行分组，使得 [0, n - 1] 内所有下标 i 都 恰好 被分到其中一组。
如果以下条件成立，我们说这个分组方案是合法的：
\n\ng ，同一组内所有下标在 nums 中对应的数值都相等。g1 和 g2 ，两个组中 下标数量 的 差值不超过 1 。请你返回一个整数，表示得到一个合法分组方案的 最少 组数。
\n\n\n\n
示例 1：
\n\n\n输入：nums = [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组 1 -> [0,2,4]\n组 2 -> [1,3]\n所有下标都只属于一个组。\n组 1 中，nums[0] == nums[2] == nums[4] ，所有下标对应的数值都相等。\n组 2 中，nums[1] == nums[3] ，所有下标对应的数值都相等。\n组 1 中下标数目为 3 ，组 2 中下标数目为 2 。\n两者之差不超过 1 。\n无法得到一个小于 2 组的答案，因为如果只有 1 组，组内所有下标对应的数值都要相等。\n所以答案为 2 。\n\n
示例 2：
\n\n\n输入：nums = [10,10,10,3,1,1]\n输出：4\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组 1 -> [0]\n组 2 -> [1,2]\n组 3 -> [3]\n组 4 -> [4,5]\n分组方案满足题目要求的两个条件。\n无法得到一个小于 4 组的答案。\n所以答案为 4 。\n\n
\n\n
提示：
\n\n1 <= nums.length <= 1051 <= nums[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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