How to Solve Maximum Sum of Almost Unique Subarray Problem
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Maximum Sum of Almost Unique Subarray
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 o...
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Understanding the Maximum Sum of Almost Unique Subarray Problem
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Problem Statement
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.
Maximum Sum of Almost Unique Subarray
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Examples
nums = [2,6,7,3,1,7], m = 3, k = 4
18
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.
nums = [5,9,9,2,4,5,4], m = 1, k = 3
23
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.
nums = [1,2,1,2,1,2,1], m = 3, k = 3
0
There are no subarrays of size k = 3 that contain at least m = 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.
Constraints
1 <= nums.length <= 2 * 104
1 <= m <= k <= nums.length
1 <= nums[i] <= 109
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