leetcode-problemset/leetcode-cn/originData/falling-squares.json

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            "title": "Falling Squares",
            "titleSlug": "falling-squares",
            "content": "<p>There are several squares being dropped onto the X-axis of a 2D plane.</p>\n\n<p>You are given a 2D integer array <code>positions</code> where <code>positions[i] = [left<sub>i</sub>, sideLength<sub>i</sub>]</code> represents the <code>i<sup>th</sup></code> square with a side length of <code>sideLength<sub>i</sub></code> that is dropped with its left edge aligned with X-coordinate <code>left<sub>i</sub></code>.</p>\n\n<p>Each square is dropped one at a time from a height above any landed squares. It then falls downward (negative Y direction) until it either lands <strong>on the top side of another square</strong> or <strong>on the X-axis</strong>. A square brushing the left/right side of another square does not count as landing on it. Once it lands, it freezes in place and cannot be moved.</p>\n\n<p>After each square is dropped, you must record the <strong>height of the current tallest stack of squares</strong>.</p>\n\n<p>Return <em>an integer array </em><code>ans</code><em> where </em><code>ans[i]</code><em> represents the height described above after dropping the </em><code>i<sup>th</sup></code><em> square</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/28/fallingsq1-plane.jpg\" style=\"width: 500px; height: 505px;\" />\n<pre>\n<strong>Input:</strong> positions = [[1,2],[2,3],[6,1]]\n<strong>Output:</strong> [2,5,5]\n<strong>Explanation:</strong>\nAfter the first drop, the tallest stack is square 1 with a height of 2.\nAfter the second drop, the tallest stack is squares 1 and 2 with a height of 5.\nAfter the third drop, the tallest stack is still squares 1 and 2 with a height of 5.\nThus, we return an answer of [2, 5, 5].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> positions = [[100,100],[200,100]]\n<strong>Output:</strong> [100,100]\n<strong>Explanation:</strong>\nAfter the first drop, the tallest stack is square 1 with a height of 100.\nAfter the second drop, the tallest stack is either square 1 or square 2, both with heights of 100.\nThus, we return an answer of [100, 100].\nNote that square 2 only brushes the right side of square 1, which does not count as landing on it.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= positions.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= left<sub>i</sub> &lt;= 10<sup>8</sup></code></li>\n\t<li><code>1 &lt;= sideLength<sub>i</sub> &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "掉落的方块",
            "translatedContent": "<p>在无限长的数轴（即 x 轴）上，我们根据给定的顺序放置对应的正方形方块。</p>\n\n<p>第 <code>i</code> 个掉落的方块（<code>positions[i] = (left, side_length)</code>）是正方形，其中&nbsp;<code>left 表示该方块最左边的点位置(positions[i][0])，side_length 表示该方块的边长(positions[i][1])。</code></p>\n\n<p>每个方块的底部边缘平行于数轴（即 x 轴），并且从一个比目前所有的落地方块更高的高度掉落而下。在上一个方块结束掉落，并保持静止后，才开始掉落新方块。</p>\n\n<p>方块的底边具有非常大的粘性，并将保持固定在它们所接触的任何长度表面上（无论是数轴还是其他方块）。邻接掉落的边不会过早地粘合在一起，<code>因为只有底边才具有粘性。</code></p>\n\n<p>&nbsp;</p>\n\n<p>返回一个堆叠高度列表&nbsp;<code>ans</code> 。每一个堆叠高度&nbsp;<code>ans[i]</code>&nbsp;表示在通过&nbsp;<code>positions[0], positions[1], ..., positions[i]</code>&nbsp;表示的方块掉落结束后，目前所有已经落稳的方块堆叠的最高高度。</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre><strong>输入:</strong> [[1, 2], [2, 3], [6, 1]]\n<strong>输出:</strong> [2, 5, 5]\n<strong>解释:\n\n</strong>第一个方块 <code>positions[0] = [1, 2] </code>掉落：\n<code>_aa\n_aa\n-------\n</code>方块最大高度为 2 。\n\n第二个方块 <code>positions[1] = [2, 3] </code>掉落：\n<code>__aaa\n__aaa\n__aaa\n_aa__\n_aa__\n--------------\n</code>方块最大高度为5。\n大的方块保持在较小的方块的顶部，不论它的重心在哪里，因为方块的底部边缘有非常大的粘性。\n\n第三个方块 <code>positions[1] = [6, 1] </code>掉落：\n<code>__aaa\n__aaa\n__aaa\n_aa\n_aa___a\n-------------- \n</code>方块最大高度为5。\n\n因此，我们返回结果<code>[2, 5, 5]。</code>\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 2:</strong></p>\n\n<pre><strong>输入:</strong> [[100, 100], [200, 100]]\n<strong>输出:</strong> [100, 100]\n<strong>解释:</strong> 相邻的方块不会过早地卡住，只有它们的底部边缘才能粘在表面上。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>注意:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= positions.length &lt;= 1000</code>.</li>\n\t<li><code>1 &lt;= positions[i][0] &lt;= 10^8</code>.</li>\n\t<li><code>1 &lt;= positions[i][1] &lt;= 10^6</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n",
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                    "code": "class Solution {\npublic:\n    vector<int> fallingSquares(vector<vector<int>>& positions) {\n\n    }\n};",
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