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{
"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": [
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}
],
"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 "
}