{ "id": 3776, "name": "find_minimum_cost_to_remove_array_elements", "difficulty": "Medium", "link": "https://leetcode.com/problems/find-minimum-cost-to-remove-array-elements/", "date": "2025-02-15 00:00:00", "task_description": "You are given an integer array `nums`. Your task is to remove **all elements** from the array by performing one of the following operations at each step until `nums` is empty: Choose any two elements from the first three elements of `nums` and remove them. The cost of this operation is the **maximum** of the two elements removed. If fewer than three elements remain in `nums`, remove all the remaining elements in a single operation. The cost of this operation is the **maximum** of the remaining elements. Return the **minimum** cost required to remove all the elements. **Example 1:** **Input:** nums = [6,2,8,4] **Output:** 12 **Explanation:** Initially, `nums = [6, 2, 8, 4]`. In the first operation, remove `nums[0] = 6` and `nums[2] = 8` with a cost of `max(6, 8) = 8`. Now, `nums = [2, 4]`. In the second operation, remove the remaining elements with a cost of `max(2, 4) = 4`. The cost to remove all elements is `8 + 4 = 12`. This is the minimum cost to remove all elements in `nums`. Hence, the output is 12. **Example 2:** **Input:** nums = [2,1,3,3] **Output:** 5 **Explanation:** Initially, `nums = [2, 1, 3, 3]`. In the first operation, remove `nums[0] = 2` and `nums[1] = 1` with a cost of `max(2, 1) = 2`. Now, `nums = [3, 3]`. In the second operation remove the remaining elements with a cost of `max(3, 3) = 3`. The cost to remove all elements is `2 + 3 = 5`. This is the minimum cost to remove all elements in `nums`. Hence, the output is 5. **Constraints:** `1 <= nums.length <= 1000` `1 <= nums[i] <= 106`", "public_test_cases": [ { "label": "Example 1", "input": "nums = [6,2,8,4]", "output": "12 " }, { "label": "Example 2", "input": "nums = [2,1,3,3]", "output": "5 " } ], "private_test_cases": [ { "input": [ 558184, 699123, 665132, 129561, 465407, 188054, 571296, 264707, 895833, 530870, 188408, 205446, 319070, 199047, 419054, 224993, 732862, 802389, 249067, 354625, 970628, 365878, 7109, 48467, 858084, 539210, 638358, 27606, 421865, 943755, 980282, 345015, 22560, 78319, 979907, 632714, 755924, 10697, 800884, 599917, 416179, 613199, 3403, 630936, 628709, 324079, 814551, 881211, 793162, 293147, 919295, 154547, 905031, 301250, 717863, 332602, 128753, 759888, 346784, 466566, 450840, 601038, 286109, 680932, 256053, 207170, 37699, 385549, 383259, 808981, 92517, 539289, 905576, 234027, 986272, 692043, 554934, 252177, 76671, 720380, 932735, 745575, 83342, 5358, 565133, 862132, 803964, 61353, 846562, 726131, 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802084, 812108, 126266, 589444, 499040, 778765, 220181, 598532, 279284, 269957, 829449, 133565, 28024, 593585, 669601, 178726, 954940, 810941, 904517, 847995, 637792, 58195, 489822, 666177, 775263, 833194, 461442, 890303, 691932, 707877 ], "output": 279733564 } ], "haskell_template": "minCost :: [Int] -> Int\nminCost nums ", "ocaml_template": "let minCost (nums: int list) : int = ", "scala_template": "def minCost(nums: List[Int]): Int = { \n \n}", "java_template": "class Solution {\n public int minCost(int[] nums) {\n \n }\n}", "python_template": "class Solution(object):\n def minCost(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " }