{ "data": { "question": { "questionId": "2954", "questionFrontendId": "2841", "categoryTitle": "Algorithms", "boundTopicId": 2420988, "title": "Maximum Sum of Almost Unique Subarray", "titleSlug": "maximum-sum-of-almost-unique-subarray", "content": "
You are given an integer array nums
and two positive integers m
and k
.
Return the maximum sum out of all almost unique subarrays of length k
of nums
. If no such subarray exists, return 0
.
A subarray of nums
is almost unique if it contains at least m
distinct elements.
A subarray is a contiguous non-empty sequence of elements within an array.
\n\n\n
Example 1:
\n\n\nInput: nums = [2,6,7,3,1,7], m = 3, k = 4\nOutput: 18\nExplanation: There are 3 almost unique subarrays of size k = 4
. These subarrays are [2, 6, 7, 3], [6, 7, 3, 1], and [7, 3, 1, 7]. Among these subarrays, the one with the maximum sum is [2, 6, 7, 3] which has a sum of 18.\n
\n\nExample 2:
\n\n\nInput: nums = [5,9,9,2,4,5,4], m = 1, k = 3\nOutput: 23\nExplanation: There are 5 almost unique subarrays of size k. These subarrays are [5, 9, 9], [9, 9, 2], [9, 2, 4], [2, 4, 5], and [4, 5, 4]. Among these subarrays, the one with the maximum sum is [5, 9, 9] which has a sum of 23.\n\n\n
Example 3:
\n\n\nInput: nums = [1,2,1,2,1,2,1], m = 3, k = 3\nOutput: 0\nExplanation: There are no subarrays of size\n\nk = 3
that contain at leastm = 3
distinct elements in the given array [1,2,1,2,1,2,1]. Therefore, no almost unique subarrays exist, and the maximum sum is 0.\n
\n
Constraints:
\n\n1 <= nums.length <= 2 * 104
1 <= m <= k <= nums.length
1 <= nums[i] <= 109
给你一个整数数组 nums
和两个正整数 m
和 k
。
请你返回 nums
中长度为 k
的 几乎唯一 子数组的 最大和 ,如果不存在几乎唯一子数组,请你返回 0
。
如果 nums
的一个子数组有至少 m
个互不相同的元素,我们称它是 几乎唯一 子数组。
子数组指的是一个数组中一段连续 非空 的元素序列。
\n\n\n\n
示例 1:
\n\n\n输入:nums = [2,6,7,3,1,7], m = 3, k = 4\n输出:18\n解释:总共有 3 个长度为 k = 4 的几乎唯一子数组。分别为 [2, 6, 7, 3] ,[6, 7, 3, 1] 和 [7, 3, 1, 7] 。这些子数组中,和最大的是 [2, 6, 7, 3] ,和为 18 。\n\n\n
示例 2:
\n\n\n输入:nums = [5,9,9,2,4,5,4], m = 1, k = 3\n输出:23\n解释:总共有 5 个长度为 k = 3 的几乎唯一子数组。分别为 [5, 9, 9] ,[9, 9, 2] ,[9, 2, 4] ,[2, 4, 5] 和 [4, 5, 4] 。这些子数组中,和最大的是 [5, 9, 9] ,和为 23 。\n\n\n
示例 3:
\n\n\n输入:nums = [1,2,1,2,1,2,1], m = 3, k = 3\n输出:0\n解释:输入数组中不存在长度为\n\nk = 3
的子数组含有至少m = 3
个互不相同元素的子数组。所以不存在几乎唯一子数组,最大和为 0 。\n
\n\n
提示:
\n\n1 <= nums.length <= 2 * 104
1 <= m <= k <= nums.length
1 <= nums[i] <= 109
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