leetcode-problemset/leetcode-cn/originData/coordinate-with-maximum-network-quality.json

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            "questionId": "1726",
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            "title": "Coordinate With Maximum Network Quality",
            "titleSlug": "coordinate-with-maximum-network-quality",
            "content": "<p>You are given an array of network towers <code>towers</code>, where <code>towers[i] = [x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub>]</code> denotes the <code>i<sup>th</sup></code> network tower with location <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and quality factor <code>q<sub>i</sub></code>. All the coordinates are <strong>integral coordinates</strong> on the X-Y plane, and the distance between the two coordinates is the <strong>Euclidean distance</strong>.</p>\n\n<p>You are also given an integer <code>radius</code> where a tower is <strong>reachable</strong> if the distance is <strong>less than or equal to</strong> <code>radius</code>. Outside that distance, the signal becomes garbled, and the tower is <strong>not reachable</strong>.</p>\n\n<p>The signal quality of the <code>i<sup>th</sup></code> tower at a coordinate <code>(x, y)</code> is calculated with the formula <code>&lfloor;q<sub>i</sub> / (1 + d)&rfloor;</code>, where <code>d</code> is the distance between the tower and the coordinate. The <strong>network quality</strong> at a coordinate is the sum of the signal qualities from all the <strong>reachable</strong> towers.</p>\n\n<p>Return <em>the array </em><code>[c<sub>x</sub>, c<sub>y</sub>]</code><em> representing the <strong>integral</strong> coordinate </em><code>(c<sub>x</sub>, c<sub>y</sub>)</code><em> where the <strong>network quality</strong> is maximum. If there are multiple coordinates with the same <strong>network quality</strong>, return the lexicographically minimum <strong>non-negative</strong> coordinate.</em></p>\n\n<p><strong>Note:</strong></p>\n\n<ul>\n\t<li>A coordinate <code>(x1, y1)</code> is lexicographically smaller than <code>(x2, y2)</code> if either:\n\n\t<ul>\n\t\t<li><code>x1 &lt; x2</code>, or</li>\n\t\t<li><code>x1 == x2</code> and <code>y1 &lt; y2</code>.</li>\n\t</ul>\n\t</li>\n\t<li><code>&lfloor;val&rfloor;</code> is the greatest integer less than or equal to <code>val</code> (the floor function).</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/22/untitled-diagram.png\" style=\"width: 176px; height: 176px;\" />\n<pre>\n<strong>Input:</strong> towers = [[1,2,5],[2,1,7],[3,1,9]], radius = 2\n<strong>Output:</strong> [2,1]\n<strong>Explanation:</strong> At coordinate (2, 1) the total quality is 13.\n- Quality of 7 from (2, 1) results in &lfloor;7 / (1 + sqrt(0)&rfloor; = &lfloor;7&rfloor; = 7\n- Quality of 5 from (1, 2) results in &lfloor;5 / (1 + sqrt(2)&rfloor; = &lfloor;2.07&rfloor; = 2\n- Quality of 9 from (3, 1) results in &lfloor;9 / (1 + sqrt(1)&rfloor; = &lfloor;4.5&rfloor; = 4\nNo other coordinate has a higher network quality.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> towers = [[23,11,21]], radius = 9\n<strong>Output:</strong> [23,11]\n<strong>Explanation:</strong> Since there is only one tower, the network quality is highest right at the tower&#39;s location.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> towers = [[1,2,13],[2,1,7],[0,1,9]], radius = 2\n<strong>Output:</strong> [1,2]\n<strong>Explanation:</strong> Coordinate (1, 2) has the highest network quality.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= towers.length &lt;= 50</code></li>\n\t<li><code>towers[i].length == 3</code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub> &lt;= 50</code></li>\n\t<li><code>1 &lt;= radius &lt;= 50</code></li>\n</ul>\n",
            "translatedTitle": "网络信号最好的坐标",
            "translatedContent": "<p>给你一个数组 <code>towers</code> 和一个整数 <code>radius</code> ，数组中包含一些网络信号塔，其中 <code>towers[i] = [x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub>]</code> 表示第 <code>i</code> 个网络信号塔的坐标是 <code>(x<sub>i</sub>, y<sub>i</sub>)</code> 且信号强度参数为 <code>q<sub>i</sub></code><sub> </sub>。所有坐标都是在  X-Y 坐标系内的 <strong>整数</strong> 坐标。两个坐标之间的距离用 <strong>欧几里得距离</strong> 计算。</p>\n\n<p>整数 <code>radius</code> 表示一个塔 <strong>能到达 </strong>的 <strong>最远距离</strong> 。如果一个坐标跟塔的距离在 <code>radius</code> 以内，那么该塔的信号可以到达该坐标。在这个范围以外信号会很微弱，所以 <code>radius</code> 以外的距离该塔是 <strong>不能到达的</strong> 。</p>\n\n<p>如果第 <code>i</code> 个塔能到达 <code>(x, y)</code> ，那么该塔在此处的信号为 <code>⌊q<sub>i</sub> / (1 + d)⌋</code> ，其中 <code>d</code> 是塔跟此坐标的距离。一个坐标的 <b>网络信号</b> 是所有 <strong>能到达 </strong>该坐标的塔的信号强度之和。</p>\n\n<p>请你返回 <strong>网络信号</strong> 最大的整数坐标点。如果有多个坐标网络信号一样大，请你返回字典序最小的一个坐标。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>坐标 <code>(x1, y1)</code> 字典序比另一个坐标 <code>(x2, y2)</code> 小：要么 <code>x1 < x2</code> ，要么 <code>x1 == x2</code> 且 <code>y1 < y2</code> 。</li>\n\t<li><code>⌊val⌋</code> 表示小于等于 <code>val</code> 的最大整数（向下取整函数）。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/17/untitled-diagram.png\" style=\"width: 176px; height: 176px;\" />\n<pre>\n<b>输入：</b>towers = [[1,2,5],[2,1,7],[3,1,9]], radius = 2\n<b>输出：</b>[2,1]\n<strong>解释：</strong>\n坐标 (2, 1) 信号强度之和为 13\n- 塔 (2, 1) 强度参数为 7 ，在该点强度为 ⌊7 / (1 + sqrt(0)⌋ = ⌊7⌋ = 7\n- 塔 (1, 2) 强度参数为 5 ，在该点强度为 ⌊5 / (1 + sqrt(2)⌋ = ⌊2.07⌋ = 2\n- 塔 (3, 1) 强度参数为 9 ，在该点强度为 ⌊9 / (1 + sqrt(1)⌋ = ⌊4.5⌋ = 4\n没有别的坐标有更大的信号强度。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>towers = [[23,11,21]], radius = 9\n<b>输出：</b>[23,11]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>towers = [[1,2,13],[2,1,7],[0,1,9]], radius = 2\n<b>输出：</b>[1,2]\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<b>输入：</b>towers = [[2,1,9],[0,1,9]], radius = 2\n<b>输出：</b>[0,1]\n<strong>解释：</strong>坐标 (0, 1) 和坐标 (2, 1) 都是强度最大的位置，但是 (0, 1) 字典序更小。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= towers.length <= 50</code></li>\n\t<li><code>towers[i].length == 3</code></li>\n\t<li><code>0 <= x<sub>i</sub>, y<sub>i</sub>, q<sub>i</sub> <= 50</code></li>\n\t<li><code>1 <= radius <= 50</code></li>\n</ul>\n",
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href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\\" target=\\\"_blank\\\"> datastructures-js\\/queue<\\/a>\\u3002<\\/p>\"],\"ruby\":[\"Ruby\",\"<p>\\u4f7f\\u7528<code>Ruby 3.1<\\/code>\\u6267\\u884c<\\/p>\\r\\n\\r\\n<p>\\u4e00\\u4e9b\\u5e38\\u7528\\u7684\\u6570\\u636e\\u7ed3\\u6784\\u5df2\\u5728 Algorithms \\u6a21\\u5757\\u4e2d\\u63d0\\u4f9b\\uff1ahttps:\\/\\/www.rubydoc.info\\/github\\/kanwei\\/algorithms\\/Algorithms<\\/p>\"],\"swift\":[\"Swift\",\"<p>\\u7248\\u672c\\uff1a<code>Swift 5.5.2<\\/code><\\/p>\\r\\n\\r\\n<p>\\u6211\\u4eec\\u901a\\u5e38\\u4fdd\\u8bc1\\u66f4\\u65b0\\u5230 <a href=\\\"https:\\/\\/swift.org\\/download\\/\\\" target=\\\"_blank\\\">Apple\\u653e\\u51fa\\u7684\\u6700\\u65b0\\u7248Swift<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u53d1\\u73b0Swift\\u4e0d\\u662f\\u6700\\u65b0\\u7248\\u7684\\uff0c\\u8bf7\\u8054\\u7cfb\\u6211\\u4eec\\uff01\\u6211\\u4eec\\u5c06\\u5c3d\\u5feb\\u66f4\\u65b0\\u3002<\\/p>\"],\"golang\":[\"Go\",\"<p>\\u7248\\u672c\\uff1a<code>Go 1.17<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 <a href=\\\"https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 4.5.4<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2020<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.3<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 24.2\"],\"elixir\":[\"Elixir\",\"Elixir 1.13.0 with Erlang\\/OTP 24.2\"]}",
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