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"data": {
"question": {
"questionId": "2178",
"questionFrontendId": "2069",
"categoryTitle": "Algorithms",
"boundTopicId": 1095941,
"title": "Walking Robot Simulation II",
"titleSlug": "walking-robot-simulation-ii",
"content": "<p>A <code>width x height</code> grid is on an XY-plane with the <strong>bottom-left</strong> cell at <code>(0, 0)</code> and the <strong>top-right</strong> cell at <code>(width - 1, height - 1)</code>. The grid is aligned with the four cardinal directions (<code>&quot;North&quot;</code>, <code>&quot;East&quot;</code>, <code>&quot;South&quot;</code>, and <code>&quot;West&quot;</code>). A robot is <strong>initially</strong> at cell <code>(0, 0)</code> facing direction <code>&quot;East&quot;</code>.</p>\n\n<p>The robot can be instructed to move for a specific number of <strong>steps</strong>. For each step, it does the following.</p>\n\n<ol>\n\t<li>Attempts to move <strong>forward one</strong> cell in the direction it is facing.</li>\n\t<li>If the cell the robot is <strong>moving to</strong> is <strong>out of bounds</strong>, the robot instead <strong>turns</strong> 90 degrees <strong>counterclockwise</strong> and retries the step.</li>\n</ol>\n\n<p>After the robot finishes moving the number of steps required, it stops and awaits the next instruction.</p>\n\n<p>Implement the <code>Robot</code> class:</p>\n\n<ul>\n\t<li><code>Robot(int width, int height)</code> Initializes the <code>width x height</code> grid with the robot at <code>(0, 0)</code> facing <code>&quot;East&quot;</code>.</li>\n\t<li><code>void step(int num)</code> Instructs the robot to move forward <code>num</code> steps.</li>\n\t<li><code>int[] getPos()</code> Returns the current cell the robot is at, as an array of length 2, <code>[x, y]</code>.</li>\n\t<li><code>String getDir()</code> Returns the current direction of the robot, <code>&quot;North&quot;</code>, <code>&quot;East&quot;</code>, <code>&quot;South&quot;</code>, or <code>&quot;West&quot;</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"example-1\" src=\"https://assets.leetcode.com/uploads/2021/10/09/example-1.png\" style=\"width: 498px; height: 268px;\" />\n<pre>\n<strong>Input</strong>\n[&quot;Robot&quot;, &quot;move&quot;, &quot;move&quot;, &quot;getPos&quot;, &quot;getDir&quot;, &quot;move&quot;, &quot;move&quot;, &quot;move&quot;, &quot;getPos&quot;, &quot;getDir&quot;]\n[[6, 3], [2], [2], [], [], [2], [1], [4], [], []]\n<strong>Output</strong>\n[null, null, null, [4, 0], &quot;East&quot;, null, null, null, [1, 2], &quot;West&quot;]\n\n<strong>Explanation</strong>\nRobot robot = new Robot(6, 3); // Initialize the grid and the robot at (0, 0) facing East.\nrobot.move(2); // It moves two steps East to (2, 0), and faces East.\nrobot.move(2); // It moves two steps East to (4, 0), and faces East.\nrobot.getPos(); // return [4, 0]\nrobot.getDir(); // return &quot;East&quot;\nrobot.move(2); // It moves one step East to (5, 0), and faces East.\n // Moving the next step East would be out of bounds, so it turns and faces North.\n // Then, it moves one step North to (5, 1), and faces North.\nrobot.move(1); // It moves one step North to (5, 2), and faces <strong>North</strong> (not West).\nrobot.move(4); // Moving the next step North would be out of bounds, so it turns and faces West.\n // Then, it moves four steps West to (1, 2), and faces West.\nrobot.getPos(); // return [1, 2]\nrobot.getDir(); // return &quot;West&quot;\n\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= width, height &lt;= 100</code></li>\n\t<li><code>1 &lt;= num &lt;= 10<sup>5</sup></code></li>\n\t<li>At most <code>10<sup>4</sup></code> calls <strong>in total</strong> will be made to <code>step</code>, <code>getPos</code>, and <code>getDir</code>.</li>\n</ul>\n",
"translatedTitle": "模拟行走机器人 II",
"translatedContent": "<p>给你一个在 XY 平面上的&nbsp;<code>width x height</code>&nbsp;的网格图,<strong>左下角</strong>&nbsp;的格子为&nbsp;<code>(0, 0)</code>&nbsp;<strong>右上角</strong>&nbsp;的格子为&nbsp;<code>(width - 1, height - 1)</code>&nbsp;。网格图中相邻格子为四个基本方向之一(<code>\"North\"</code><code>\"East\"</code><code>\"South\"</code>&nbsp;和&nbsp;<code>\"West\"</code>)。一个机器人 <strong>初始</strong>&nbsp;在格子&nbsp;<code>(0, 0)</code>&nbsp;,方向为&nbsp;<code>\"East\"</code>&nbsp;。</p>\n\n<p>机器人可以根据指令移动指定的 <strong>步数</strong>&nbsp;。每一步,它可以执行以下操作。</p>\n\n<ol>\n\t<li>沿着当前方向尝试 <strong>往前一步</strong>&nbsp;。</li>\n\t<li>如果机器人下一步将到达的格子 <strong>超出了边界</strong>&nbsp;,机器人会 <strong>逆时针</strong>&nbsp;转 90 度,然后再尝试往前一步。</li>\n</ol>\n\n<p>如果机器人完成了指令要求的移动步数,它将停止移动并等待下一个指令。</p>\n\n<p>请你实现&nbsp;<code>Robot</code>&nbsp;类:</p>\n\n<ul>\n\t<li><code>Robot(int width, int height)</code>&nbsp;初始化一个&nbsp;<code>width x height</code>&nbsp;的网格图,机器人初始在&nbsp;<code>(0, 0)</code>&nbsp;,方向朝&nbsp;<code>\"East\"</code>&nbsp;。</li>\n\t<li><code>void move(int num)</code>&nbsp;给机器人下达前进&nbsp;<code>num</code>&nbsp;步的指令。</li>\n\t<li><code>int[] getPos()</code>&nbsp;返回机器人当前所处的格子位置,用一个长度为 2 的数组&nbsp;<code>[x, y]</code>&nbsp;表示。</li>\n\t<li><code>String getDir()</code>&nbsp;返回当前机器人的朝向,为&nbsp;<code>\"North\"</code>&nbsp;<code>\"East\"</code>&nbsp;<code>\"South\"</code>&nbsp;或者&nbsp;<code>\"West\"</code>&nbsp;。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"example-1\" src=\"https://assets.leetcode.com/uploads/2021/10/09/example-1.png\" style=\"width: 498px; height: 268px;\"></p>\n\n<pre><strong>输入:</strong>\n[\"Robot\", \"move\", \"move\", \"getPos\", \"getDir\", \"move\", \"move\", \"move\", \"getPos\", \"getDir\"]\n[[6, 3], [2], [2], [], [], [2], [1], [4], [], []]\n<strong>输出:</strong>\n[null, null, null, [4, 0], \"East\", null, null, null, [1, 2], \"West\"]\n\n<strong>解释:</strong>\nRobot robot = new Robot(6, 3); // 初始化网格图,机器人在 (0, 0) ,朝东。\nrobot.move(2); // 机器人朝东移动 2 步,到达 (2, 0) ,并朝东。\nrobot.move(2); // 机器人朝东移动 2 步,到达 (4, 0) ,并朝东。\nrobot.getPos(); // 返回 [4, 0]\nrobot.getDir(); // 返回 \"East\"\nrobot.move(2); // 朝东移动 1 步到达 (5, 0) ,并朝东。\n // 下一步继续往东移动将出界,所以逆时针转变方向朝北。\n // 然后,往北移动 1 步到达 (5, 1) ,并朝北。\nrobot.move(1); // 朝北移动 1 步到达 (5, 2) ,并朝 <strong>北</strong> (不是朝西)。\nrobot.move(4); // 下一步继续往北移动将出界,所以逆时针转变方向朝西。\n // 然后,移动 4 步到 (1, 2) ,并朝西。\nrobot.getPos(); // 返回 [1, 2]\nrobot.getDir(); // 返回 \"West\"\n\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= width, height &lt;= 100</code></li>\n\t<li><code>1 &lt;= num &lt;= 10<sup>5</sup></code></li>\n\t<li><code>move</code>&nbsp;<code>getPos</code>&nbsp;和&nbsp;<code>getDir</code>&nbsp;<strong>总共&nbsp;</strong>调用次数不超过&nbsp;<code>10<sup>4</sup></code>&nbsp;次。</li>\n</ul>\n",
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"code": "class Robot(object):\n\n def __init__(self, width, height):\n \"\"\"\n :type width: int\n :type height: int\n \"\"\"\n\n\n def step(self, num):\n \"\"\"\n :type num: int\n :rtype: None\n \"\"\"\n\n\n def getPos(self):\n \"\"\"\n :rtype: List[int]\n \"\"\"\n\n\n def getDir(self):\n \"\"\"\n :rtype: str\n \"\"\"\n\n\n\n# Your Robot object will be instantiated and called as such:\n# obj = Robot(width, height)\n# obj.step(num)\n# param_2 = obj.getPos()\n# param_3 = obj.getDir()",
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"code": "class Robot:\n\n def __init__(self, width: int, height: int):\n\n\n def step(self, num: int) -> None:\n\n\n def getPos(self) -> List[int]:\n\n\n def getDir(self) -> str:\n\n\n\n# Your Robot object will be instantiated and called as such:\n# obj = Robot(width, height)\n# obj.step(num)\n# param_2 = obj.getPos()\n# param_3 = obj.getDir()",
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"code": "class Robot\n\n=begin\n :type width: Integer\n :type height: Integer\n=end\n def initialize(width, height)\n\n end\n\n\n=begin\n :type num: Integer\n :rtype: Void\n=end\n def step(num)\n\n end\n\n\n=begin\n :rtype: Integer[]\n=end\n def get_pos()\n\n end\n\n\n=begin\n :rtype: String\n=end\n def get_dir()\n\n end\n\n\nend\n\n# Your Robot object will be instantiated and called as such:\n# obj = Robot.new(width, height)\n# obj.step(num)\n# param_2 = obj.get_pos()\n# param_3 = obj.get_dir()",
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"code": "type Robot struct {\n\n}\n\n\nfunc Constructor(width int, height int) Robot {\n\n}\n\n\nfunc (this *Robot) Step(num int) {\n\n}\n\n\nfunc (this *Robot) GetPos() []int {\n\n}\n\n\nfunc (this *Robot) GetDir() string {\n\n}\n\n\n/**\n * Your Robot object will be instantiated and called as such:\n * obj := Constructor(width, height);\n * obj.Step(num);\n * param_2 := obj.GetPos();\n * param_3 := obj.GetDir();\n */",
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"code": "class Robot(width: Int, height: Int) {\n\n fun step(num: Int) {\n\n }\n\n fun getPos(): IntArray {\n\n }\n\n fun getDir(): String {\n\n }\n\n}\n\n/**\n * Your Robot object will be instantiated and called as such:\n * var obj = Robot(width, height)\n * obj.step(num)\n * var param_2 = obj.getPos()\n * var param_3 = obj.getDir()\n */",
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"code": "struct Robot {\n\n}\n\n\n/**\n * `&self` means the method takes an immutable reference.\n * If you need a mutable reference, change it to `&mut self` instead.\n */\nimpl Robot {\n\n fn new(width: i32, height: i32) -> Self {\n\n }\n \n fn step(&self, num: i32) {\n\n }\n \n fn get_pos(&self) -> Vec<i32> {\n\n }\n \n fn get_dir(&self) -> String {\n\n }\n}\n\n/**\n * Your Robot object will be instantiated and called as such:\n * let obj = Robot::new(width, height);\n * obj.step(num);\n * let ret_2: Vec<i32> = obj.get_pos();\n * let ret_3: String = obj.get_dir();\n */",
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"code": "class Robot {\n /**\n * @param Integer $width\n * @param Integer $height\n */\n function __construct($width, $height) {\n\n }\n\n /**\n * @param Integer $num\n * @return NULL\n */\n function step($num) {\n\n }\n\n /**\n * @return Integer[]\n */\n function getPos() {\n\n }\n\n /**\n * @return String\n */\n function getDir() {\n\n }\n}\n\n/**\n * Your Robot object will be instantiated and called as such:\n * $obj = Robot($width, $height);\n * $obj->step($num);\n * $ret_2 = $obj->getPos();\n * $ret_3 = $obj->getDir();\n */",
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"code": "class Robot {\n constructor(width: number, height: number) {\n\n }\n\n step(num: number): void {\n\n }\n\n getPos(): number[] {\n\n }\n\n getDir(): string {\n\n }\n}\n\n/**\n * Your Robot object will be instantiated and called as such:\n * var obj = new Robot(width, height)\n * obj.step(num)\n * var param_2 = obj.getPos()\n * var param_3 = obj.getDir()\n */",
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"code": "defmodule Robot do\n @spec init_(width :: integer, height :: integer) :: any\n def init_(width, height) do\n\n end\n\n @spec step(num :: integer) :: any\n def step(num) do\n\n end\n\n @spec get_pos() :: [integer]\n def get_pos() do\n\n end\n\n @spec get_dir() :: String.t\n def get_dir() do\n\n end\nend\n\n# Your functions will be called as such:\n# Robot.init_(width, height)\n# Robot.step(num)\n# param_2 = Robot.get_pos()\n# param_3 = Robot.get_dir()\n\n# Robot.init_ will be called before every test case, in which you can do some necessary initializations.",
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"The robot only moves along the perimeter of the grid. Can you think if modulus can help you quickly compute which cell it stops at?",
"After the robot moves one time, whenever the robot stops at some cell, it will always face a specific direction. i.e., The direction it faces is determined by the cell it stops at.",
"Can you precompute what direction it faces when it stops at each cell along the perimeter, and reuse the results?"
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