leetcode-problemset/leetcode-cn/originData/check-if-the-rectangle-corner-is-reachable.json

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        "question": {
            "questionId": "3478",
            "questionFrontendId": "3235",
            "categoryTitle": "Algorithms",
            "boundTopicId": 2857605,
            "title": "Check if the Rectangle Corner Is Reachable",
            "titleSlug": "check-if-the-rectangle-corner-is-reachable",
            "content": "<p>You are given two positive integers <code>xCorner</code> and <code>yCorner</code>, and a 2D array <code>circles</code>, where <code>circles[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code> denotes a circle with center at <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and radius <code>r<sub>i</sub></code>.</p>\n\n<p>There is a rectangle in the coordinate plane with its bottom left corner at the origin and top right corner at the coordinate <code>(xCorner, yCorner)</code>. You need to check whether there is a path from the bottom left corner to the top right corner such that the <strong>entire path</strong> lies inside the rectangle, <strong>does not</strong> touch or lie inside <strong>any</strong> circle, and touches the rectangle <strong>only</strong> at the two corners.</p>\n\n<p>Return <code>true</code> if such a path exists, and <code>false</code> otherwise.</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\">xCorner = 3, yCorner = 4, circles = [[2,1,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example2circle1.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>The black curve shows a possible path between <code>(0, 0)</code> and <code>(3, 4)</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\">xCorner = 3, yCorner = 3, circles = [[1,1,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example1circle.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>No path exists from <code>(0, 0)</code> to <code>(3, 3)</code>.</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\">xCorner = 3, yCorner = 3, circles = [[2,1,1],[1,2,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example0circle.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>No path exists from <code>(0, 0)</code> to <code>(3, 3)</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 4:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">xCorner = 4, yCorner = 4, circles = [[5,5,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/04/rectangles.png\" style=\"width: 346px; height: 264px;\" /></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= xCorner, yCorner &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= circles.length &lt;= 1000</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "判断矩形的两个角落是否可达",
            "translatedContent": "<p>给你两个正整数&nbsp;<code>xCorner</code> 和&nbsp;<code>yCorner</code>&nbsp;和一个二维整数数组&nbsp;<code>circles</code>&nbsp;，其中&nbsp;<code>circles[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code>&nbsp;表示一个圆心在&nbsp;<code>(x<sub>i</sub>, y<sub>i</sub>)</code>&nbsp;半径为&nbsp;<code>r<sub>i</sub></code>&nbsp;的圆。</p>\n\n<p>坐标平面内有一个左下角在原点，右上角在&nbsp;<code>(xCorner, yCorner)</code>&nbsp;的矩形。你需要判断是否存在一条从左下角到右上角的路径满足：路径&nbsp;<strong>完全</strong>&nbsp;在矩形内部，<strong>不会</strong>&nbsp;触碰或者经过 <strong>任何</strong>&nbsp;圆的内部和边界，同时&nbsp;<strong>只</strong> 在起点和终点接触到矩形。</p>\n\n<p>如果存在这样的路径，请你返回&nbsp;<code>true</code>&nbsp;，否则返回&nbsp;<code>false</code>&nbsp;。</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>X = 3, Y = 4, circles = [[2,1,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>true</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example2circle1.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>黑色曲线表示一条从&nbsp;<code>(0, 0)</code>&nbsp;到&nbsp;<code>(3, 4)</code>&nbsp;的路径。</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>X = 3, Y = 3, circles = [[1,1,2]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>false</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example1circle.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>不存在从&nbsp;<code>(0, 0)</code> 到&nbsp;<code>(3, 3)</code>&nbsp;的路径。</p>\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>X = 3, Y = 3, circles = [[2,1,1],[1,2,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>false</span></p>\n\n<p><b>解释：</b></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/18/example0circle.png\" style=\"width: 346px; height: 264px;\" /></p>\n\n<p>不存在从&nbsp;<code>(0, 0)</code>&nbsp;到&nbsp;<code>(3, 3)</code>&nbsp;的路径。</p>\n</div>\n\n<p><strong class=\"example\">示例 4：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">X = 4, Y = 4, circles = [[5,5,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>true</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/04/rectangles.png\" style=\"width: 346px; height: 264px;\" /></p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= xCorner, yCorner&nbsp;&lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= circles.length &lt;= 1000</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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<code>use-after-free<\\/code> \\u9519\\u8bef\\u3002<\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u60f3\\u4f7f\\u7528\\u54c8\\u5e0c\\u8868\\u8fd0\\u7b97, \\u60a8\\u53ef\\u4ee5\\u4f7f\\u7528 <a href=\\\"https:\\/\\/troydhanson.github.io\\/uthash\\/\\\" target=\\\"_blank\\\">uthash<\\/a>\\u3002 \\\"uthash.h\\\"\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5bfc\\u5165\\u3002\\u8bf7\\u770b\\u5982\\u4e0b\\u793a\\u4f8b:<\\/p>\\r\\n\\r\\n<p><b>1. \\u5f80\\u54c8\\u5e0c\\u8868\\u4e2d\\u6dfb\\u52a0\\u4e00\\u4e2a\\u5bf9\\u8c61\\uff1a<\\/b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n    int id;            \\/* we'll use this field as the key *\\/\\r\\n    char name[10];\\r\\n    UT_hash_handle hh; \\/* makes this structure hashable *\\/\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry 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5.1.6<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022<\\/p>\\r\\n\\r\\n<p><a href=\\\"https:\\/\\/lodash.com\\\" target=\\\"_blank\\\">lodash.js<\\/a> \\u5e93\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5305\\u542b\\u3002<\\/p>\\r\\n\\r\\n<p> \\u5982\\u9700\\u4f7f\\u7528\\u961f\\u5217\\/\\u4f18\\u5148\\u961f\\u5217\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/priority-queue\\/blob\\/v5\\/README.md\\\" target=\\\"_blank\\\"> datastructures-js\\/priority-queue@5.4.0<\\/a>\\uff0c<a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\/tree\\/v4.2.3\\\" target=\\\"_blank\\\"> datastructures-js\\/queue@4.2.3<\\/a> \\u4ee5\\u53ca <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/deque\\/tree\\/v1.0.4\\\" target=\\\"_blank\\\"> datastructures-js\\/deque@1.0.4<\\/a>\\u3002<\\/p>\"],\"racket\":[\"Racket\",\"<p><a 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