leetcode-problemset/leetcode-cn/originData/find-the-number-of-ways-to-place-people-i.json

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        "question": {
            "questionId": "3278",
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            "categoryTitle": "Algorithms",
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            "title": "Find the Number of Ways to Place People I",
            "titleSlug": "find-the-number-of-ways-to-place-people-i",
            "content": "<p>You are given a 2D array <code>points</code> of size <code>n x 2</code> representing integer coordinates of some points on a 2D plane, where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>.</p>\n\n<p>Count the number of pairs of points <code>(A, B)</code>, where</p>\n\n<ul>\n\t<li><code>A</code> is on the <strong>upper left</strong> side of <code>B</code>, and</li>\n\t<li>there are no other points in the rectangle (or line) they make (<strong>including the border</strong>).</li>\n</ul>\n\n<p>Return the count.</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\">points = [[1,1],[2,2],[3,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/01/04/example1alicebob.png\" style=\"width: 427px; height: 350px;\" /></p>\n\n<p>There is no way to choose <code>A</code> and <code>B</code> so <code>A</code> is on the upper left side of <code>B</code>.</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\">points = [[6,2],[4,4],[2,6]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img height=\"365\" src=\"https://assets.leetcode.com/uploads/2024/06/25/t2.jpg\" width=\"1321\" /></p>\n\n<ul>\n\t<li>The left one is the pair <code>(points[1], points[0])</code>, where <code>points[1]</code> is on the upper left side of <code>points[0]</code> and the rectangle is empty.</li>\n\t<li>The middle one is the pair <code>(points[2], points[1])</code>, same as the left one it is a valid pair.</li>\n\t<li>The right one is the pair <code>(points[2], points[0])</code>, where <code>points[2]</code> is on the upper left side of <code>points[0]</code>, but <code>points[1]</code> is inside the rectangle so it&#39;s not a valid pair.</li>\n</ul>\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\">points = [[3,1],[1,3],[1,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/06/25/t3.jpg\" style=\"width: 1269px; height: 350px;\" /></p>\n\n<ul>\n\t<li>The left one is the pair <code>(points[2], points[0])</code>, where <code>points[2]</code> is on the upper left side of <code>points[0]</code> and there are no other points on the line they form. Note that it is a valid state when the two points form a line.</li>\n\t<li>The middle one is the pair <code>(points[1], points[2])</code>, it is a valid pair same as the left one.</li>\n\t<li>The right one is the pair <code>(points[1], points[0])</code>, it is not a valid pair as <code>points[2]</code> is on the border of the rectangle.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 50</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>0 &lt;= points[i][0], points[i][1] &lt;= 50</code></li>\n\t<li>All <code>points[i]</code> are distinct.</li>\n</ul>\n",
            "translatedTitle": "人员站位的方案数 I",
            "translatedContent": "<p>给你一个&nbsp;&nbsp;<code>n x 2</code>&nbsp;的二维数组 <code>points</code>&nbsp;，它表示二维平面上的一些点坐标，其中&nbsp;<code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p>计算点对&nbsp;<code>(A, B)</code>&nbsp;的数量，其中</p>\n\n<ul>\n\t<li><code>A</code> 在 <code>B</code> 的左上角，并且</li>\n\t<li>它们形成的长方形中（或直线上）没有其它点（<strong>包括边界</strong>）。</li>\n</ul>\n\n<p>返回数量。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>points = [[1,1],[2,2],[3,3]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/01/04/example1alicebob.png\" style=\"width: 427px; height: 350px;\" /></p>\n\n<p>没有办法选择&nbsp;<code>A</code> 和&nbsp;<code>B</code>，使得&nbsp;<code>A</code>&nbsp;在&nbsp;<code>B</code>&nbsp;的左上角。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b></span><span class=\"example-io\">points = [[6,2],[4,4],[2,6]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b></span><span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img height=\"365\" src=\"https://assets.leetcode.com/uploads/2024/06/25/t2.jpg\" width=\"1321\" /></p>\n\n<ul>\n\t<li>左边的是点对&nbsp;<code>(points[1], points[0])</code>，其中&nbsp;<code>points[1]</code>&nbsp;在&nbsp;<code>points[0]</code>&nbsp;的左上角，并且形成的长方形内部是空的。</li>\n\t<li>中间的是点对&nbsp;<code>(points[2], points[1])</code>，和左边的一样是合法的点对。</li>\n\t<li>右边的是点对 <code>(points[2], points[0])</code>，其中 <code>points[2]</code> 在 <code>points[0]</code>&nbsp;的左上角，但&nbsp;<code>points[1]</code>&nbsp;在长方形内部，所以不是一个合法的点对。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b></span><span class=\"example-io\">points = [[3,1],[1,3],[1,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b></span><span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/06/25/t3.jpg\" style=\"width: 1269px; height: 350px;\" /></p>\n\n<ul>\n\t<li>左边的是点对 <code>(points[2], points[0])</code>，其中&nbsp;<code>points[2]</code>&nbsp;在&nbsp;<code>points[0]</code>&nbsp;的左上角并且在它们形成的直线上没有其它点。注意两个点形成一条线的情况是合法的。</li>\n\t<li>中间的是点对 <code>(points[1], points[2])</code>，和左边一样也是合法的点对。</li>\n\t<li>右边的是点对 <code>(points[1], points[0])</code>，它不是合法的点对，因为&nbsp;<code>points[2]</code>&nbsp;在长方形的边上。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 50</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>0 &lt;= points[i][0], points[i][1] &lt;= 50</code></li>\n\t<li><code>points[i]</code>&nbsp;点对两两不同。</li>\n</ul>\n",
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