leetcode-problemset/leetcode-cn/originData/beautiful-towers-i.json

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            "title": "Beautiful Towers I",
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            "content": "<p>You are given an array <code>heights</code> of <code>n</code> integers representing the number of bricks in <code>n</code> consecutive towers. Your task is to remove some bricks to form a <strong>mountain-shaped</strong> 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.</p>\n\n<p>Return the <strong>maximum possible sum</strong> of heights of a mountain-shaped tower arrangement.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">heights = [5,3,4,1,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">13</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We remove some bricks to make <code>heights =&nbsp;[5,3,3,1,1]</code>, the peak is at index 0.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">heights = [6,5,3,9,2,7]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">22</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We remove some bricks to make <code>heights =&nbsp;[3,3,3,9,2,2]</code>, the peak is at index 3.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">heights = [3,2,5,5,2,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">18</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We remove some bricks to make <code>heights = [2,2,5,5,2,2]</code>, the peak is at index 2 or 3.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == heights.length &lt;= 10<sup>3</sup></code></li>\n\t<li><code>1 &lt;= heights[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "美丽塔 I",
            "translatedContent": "<p>给定一个包含&nbsp;<code>n</code>&nbsp;个整数的数组&nbsp;<code>heights</code>&nbsp;表示&nbsp;<code>n</code>&nbsp;座连续的塔中砖块的数量。你的任务是移除一些砖块来形成一个 <strong>山脉状</strong> 的塔排列。在这种布置中，塔高度先是非递减，有一个或多个连续塔达到最大峰值，然后非递增排列。</p>\n\n<p>返回满足山脉状塔排列的方案中，<strong>高度和的最大值</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>maxHeights = [5,3,4,1,1]\n<b>输出：</b>13\n<b>解释：</b>我们移除一些砖块来形成 heights = [5,3,3,1,1]，峰值位于下标 0。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>maxHeights = [6,5,3,9,2,7]\n<b>输出：</b>22\n<strong>解释：</strong>我们移除一些砖块来形成 heights = [3,3,3,9,2,2]，峰值位于下标 3。</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>maxHeights = [3,2,5,5,2,3]\n<b>输出：</b>18\n<strong>解释：</strong>我们移除一些砖块来形成 heights = [2,2,5,5,2,2]，峰值位于下标 2 或 3。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == heights.length &lt;= 10<sup>3</sup></code></li>\n\t<li><code>1 &lt;= heights[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                "Try all the possible indices <code>i</code> as the peak.",
                "If <code>i</code> is the peak, <code>i-1<sup>th</sup></code> element, and <code>heights[j] = min(heights[j], heights[j + 1])</code> for <code>0 <= j < i </code>",
                "If <code>i</code> is the peak, start from <code>i+1<sup>th</sup></code> element, heights[j] = min(heights[j], heights[j - 1]) for <code>i < j < heights.size()</code>"
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