You are given an integer array nums and an integer k. You can partition the array into at most k non-empty adjacent subarrays. The score of a partition is the sum of the averages of each subarray.
Note that the partition must use every integer in nums, and that the score is not necessarily an integer.
Return the maximum score you can achieve of all the possible partitions. Answers within 10-6 of the actual answer will be accepted.
\n
Example 1:
\n\n\nInput: nums = [9,1,2,3,9], k = 3\nOutput: 20.00000\nExplanation: \nThe best choice is to partition nums into [9], [1, 2, 3], [9]. The answer is 9 + (1 + 2 + 3) / 3 + 9 = 20.\nWe could have also partitioned nums into [9, 1], [2], [3, 9], for example.\nThat partition would lead to a score of 5 + 2 + 6 = 13, which is worse.\n\n\n
Example 2:
\n\n\nInput: nums = [1,2,3,4,5,6,7], k = 4\nOutput: 20.50000\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1001 <= nums[i] <= 1041 <= k <= nums.length给定数组 nums 和一个整数 k 。我们将给定的数组 nums 分成 最多 k 个非空子数组，且数组内部是连续的 。 分数 由每个子数组内的平均值的总和构成。
注意我们必须使用 nums 数组中的每一个数进行分组，并且分数不一定需要是整数。
返回我们所能得到的最大 分数 是多少。答案误差在 10-6 内被视为是正确的。
\n\n
示例 1:
\n\n\n输入: nums = [9,1,2,3,9], k = 3\n输出: 20.00000\n解释: \nnums 的最优分组是[9], [1, 2, 3], [9]. 得到的分数是 9 + (1 + 2 + 3) / 3 + 9 = 20. \n我们也可以把 nums 分成[9, 1], [2], [3, 9]. \n这样的分组得到的分数为 5 + 2 + 6 = 13, 但不是最大值.\n\n\n
示例 2:
\n\n\n输入: nums = [1,2,3,4,5,6,7], k = 4\n输出: 20.50000\n\n\n
\n\n
提示:
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