{ "id": 3114, "name": "beautiful_towers_i", "difficulty": "Medium", "link": "https://leetcode.com/problems/beautiful-towers-i/", "date": "2023-09-17 00:00:00", "task_description": "You are given an array `heights` of `n` integers representing the number of bricks in `n` consecutive towers. Your task is to remove some bricks to form a **mountain-shaped** tower arrangement. In this arrangement, the tower heights are non-decreasing, reaching a maximum peak value with one or multiple consecutive towers and then non-increasing. Return the **maximum possible sum** of heights of a mountain-shaped tower arrangement. **Example 1:** **Input:** heights = [5,3,4,1,1] **Output:** 13 **Explanation:** We remove some bricks to make `heights = [5,3,3,1,1]`, the peak is at index 0. **Example 2:** **Input:** heights = [6,5,3,9,2,7] **Output:** 22 **Explanation:** We remove some bricks to make `heights = [3,3,3,9,2,2]`, the peak is at index 3. **Example 3:** **Input:** heights = [3,2,5,5,2,3] **Output:** 18 **Explanation:** We remove some bricks to make `heights = [2,2,5,5,2,2]`, the peak is at index 2 or 3. **Constraints:** `1 <= n == heights.length <= 103` `1 <= heights[i] <= 109`", "public_test_cases": [ { "label": "Example 1", "input": "heights = [5,3,4,1,1]", "output": "13 " }, { "label": "Example 2", "input": "heights = [6,5,3,9,2,7]", "output": "22 " }, { "label": "Example 3", "input": "heights = [3,2,5,5,2,3]", "output": "18 " } ], "private_test_cases": [ { "input": [ 461095276, 386639795, 873859621, 892139800, 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190484254, 395758053, 177793809, 937162185, 753342164, 964839798, 579838121, 817832647, 274586376, 872699587, 312440182, 780060763, 727166198, 360247523, 595480520, 39190344, 882481909, 740376586, 764208127, 972181715, 586343828, 397952034, 65105476, 769044077, 970589007, 986690063, 472951755, 730576828, 479256695, 695777716, 133526638, 62732226, 282105829, 696328130, 582736315 ], "output": 15677354913 } ], "haskell_template": "maximumSumOfHeights :: [Int] -> Int\nmaximumSumOfHeights heights ", "ocaml_template": "let maximumSumOfHeights (heights: int list) : int = ", "scala_template": "def maximumSumOfHeights(heights: List[Int]): Int = { \n \n}", "java_template": "class Solution {\n public long maximumSumOfHeights(int[] heights) {\n \n }\n}", "python_template": "class Solution(object):\n def maximumSumOfHeights(self, heights):\n \"\"\"\n :type heights: List[int]\n :rtype: int\n \"\"\"\n " }