mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
200 lines
21 KiB
JSON
200 lines
21 KiB
JSON
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"title": "Check if the Rectangle Corner Is Reachable",
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"titleSlug": "check-if-the-rectangle-corner-is-reachable",
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"content": "<p>You are given two positive integers <code>X</code> and <code>Y</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>(X, Y)</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> </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\">X = 3, Y = 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\">X = 3, Y = 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\">X = 3, Y = 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\">X = 4, Y = 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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 <= X, Y <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= circles.length <= 1000</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 <= x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub> <= 10<sup>9</sup></code></li>\n</ul>\n",
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"code": "# @param {Integer} x\n# @param {Integer} y\n# @param {Integer[][]} circles\n# @return {Boolean}\ndef can_reach_corner(x, y, circles)\n \nend",
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"Create a graph with <code>n + 4</code> vertices.",
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"Vertices 0 to <code>n - 1</code> represent the circles, vertex <code>n</code> represents upper edge, vertex <code>n + 1</code> represents right edge, vertex <code>n + 2</code> represents lower edge, and vertex <code>n + 3</code> represents left edge.",
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"Add an edge between these vertices if they intersect or touch.",
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"Answer will be <code>false</code> when any of two sides left-right, left-bottom, right-top or top-bottom are reachable using the edges."
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