diff --git "a/maximum_strength_of_k_disjoint_subarrays/meta.json" "b/maximum_strength_of_k_disjoint_subarrays/meta.json" new file mode 100644--- /dev/null +++ "b/maximum_strength_of_k_disjoint_subarrays/meta.json" @@ -0,0 +1,7489 @@ +{ + "id": 3313, + "name": "maximum_strength_of_k_disjoint_subarrays", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/maximum-strength-of-k-disjoint-subarrays/", + "date": "2024-03-03 00:00:00", + "task_description": "You are given an array of integers `nums` with length `n`, and a positive **odd** integer `k`. Select exactly `k` disjoint subarrays `sub1, sub2, ..., subk` from `nums` such that the last element of `subi` appears before the first element of `sub{i+1}` for all `1 <= i <= k-1`. The goal is to maximize their combined strength. The strength of the selected subarrays is defined as: `strength = k * sum(sub1)- (k - 1) * sum(sub2) + (k - 2) * sum(sub3) - ... - 2 * sum(sub{k-1}) + sum(subk)` where `sum(subi)` is the sum of the elements in the `i`-th subarray. Return the **maximum** possible strength that can be obtained from selecting exactly `k` disjoint subarrays from `nums`. **Note** that the chosen subarrays **don't** need to cover the entire array. **Example 1:** **Input:** nums = [1,2,3,-1,2], k = 3 **Output:** 22 **Explanation:** The best possible way to select 3 subarrays is: nums[0..2], nums[3..3], and nums[4..4]. The strength is calculated as follows: `strength = 3 * (1 + 2 + 3) - 2 * (-1) + 2 = 22` **Example 2:** **Input:** nums = [12,-2,-2,-2,-2], k = 5 **Output:** 64 **Explanation:** The only possible way to select 5 disjoint subarrays is: nums[0..0], nums[1..1], nums[2..2], nums[3..3], and nums[4..4]. The strength is calculated as follows: `strength = 5 * 12 - 4 * (-2) + 3 * (-2) - 2 * (-2) + (-2) = 64` **Example 3:** **Input:** nums = [-1,-2,-3], k = 1 **Output:** -1 **Explanation:** The best possible way to select 1 subarray is: nums[0..0]. The strength is -1. **Constraints:** `1 <= n <= 104` `-109 <= nums[i] <= 109` `1 <= k <= n` `1 <= n * k <= 106` `k` is odd.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,2,3,-1,2], k = 3", + "output": "22 " + }, + { + "label": "Example 2", + "input": "nums = [12,-2,-2,-2,-2], k = 5", + "output": "64 " + }, + { + "label": "Example 3", + "input": "nums = [-1,-2,-3], k = 1", + "output": "-1 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + -730845305 + ], + 1 + ], + "output": -730845305 + }, + { + "input": [ + [ + 618326595, + 448389004, + 65569088 + ], + 3 + ], + "output": 1023770865 + }, + { + "input": [ + [ + 204672809, + -192913456, + 746662917, + 149975305, + -66827866, + -836128146, + 768165404, + 706674084, + 231331947, + -296479966, + -426136142, + 868629834, + -870067878, + -960752452, + 253326878, + -539001173, + 805472369, + -191685175, + -436533967, + 917550163, + 864994024, + 479573356, + -633929276, + -303195757, + -196063078, + 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