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0874-walking-robot-simulation/README.md

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+<h2><a href="https://leetcode.com/problems/walking-robot-simulation">874. Walking Robot Simulation</a></h2><h3>Medium</h3><hr><p>A robot on an infinite XY-plane starts at point <code>(0, 0)</code> facing north. The robot can receive a sequence of these three possible types of <code>commands</code>:</p>
+
+<ul>
+	<li><code>-2</code>: Turn left <code>90</code> degrees.</li>
+	<li><code>-1</code>: Turn right <code>90</code> degrees.</li>
+	<li><code>1 &lt;= k &lt;= 9</code>: Move forward <code>k</code> units, one unit at a time.</li>
+</ul>
+
+<p>Some of the grid squares are <code>obstacles</code>. The <code>i<sup>th</sup></code> obstacle is at grid point <code>obstacles[i] = (x<sub>i</sub>, y<sub>i</sub>)</code>. If the robot runs into an obstacle, then it will instead stay in its current location and move on to the next command.</p>
+
+<p>Return <em>the <strong>maximum Euclidean distance</strong> that the robot ever gets from the origin <strong>squared</strong> (i.e. if the distance is </em><code>5</code><em>, return </em><code>25</code><em>)</em>.</p>
+
+<p><strong>Note:</strong></p>
+
+<ul>
+	<li>North means +Y direction.</li>
+	<li>East means +X direction.</li>
+	<li>South means -Y direction.</li>
+	<li>West means -X direction.</li>
+	<li>There can be obstacle in&nbsp;[0,0].</li>
+</ul>
+
+<p>&nbsp;</p>
+<p><strong class="example">Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> commands = [4,-1,3], obstacles = []
+<strong>Output:</strong> 25
+<strong>Explanation:</strong> The robot starts at (0, 0):
+1. Move north 4 units to (0, 4).
+2. Turn right.
+3. Move east 3 units to (3, 4).
+The furthest point the robot ever gets from the origin is (3, 4), which squared is 3<sup>2</sup> + 4<sup>2</sup> = 25 units away.
+</pre>
+
+<p><strong class="example">Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> commands = [4,-1,4,-2,4], obstacles = [[2,4]]
+<strong>Output:</strong> 65
+<strong>Explanation:</strong> The robot starts at (0, 0):
+1. Move north 4 units to (0, 4).
+2. Turn right.
+3. Move east 1 unit and get blocked by the obstacle at (2, 4), robot is at (1, 4).
+4. Turn left.
+5. Move north 4 units to (1, 8).
+The furthest point the robot ever gets from the origin is (1, 8), which squared is 1<sup>2</sup> + 8<sup>2</sup> = 65 units away.
+</pre>
+
+<p><strong class="example">Example 3:</strong></p>
+
+<pre>
+<strong>Input:</strong> commands = [6,-1,-1,6], obstacles = []
+<strong>Output:</strong> 36
+<strong>Explanation:</strong> The robot starts at (0, 0):
+1. Move north 6 units to (0, 6).
+2. Turn right.
+3. Turn right.
+4. Move south 6 units to (0, 0).
+The furthest point the robot ever gets from the origin is (0, 6), which squared is 6<sup>2</sup> = 36 units away.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= commands.length &lt;= 10<sup>4</sup></code></li>
+	<li><code>commands[i]</code> is either <code>-2</code>, <code>-1</code>, or an integer in the range <code>[1, 9]</code>.</li>
+	<li><code>0 &lt;= obstacles.length &lt;= 10<sup>4</sup></code></li>
+	<li><code>-3 * 10<sup>4</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 3 * 10<sup>4</sup></code></li>
+	<li>The answer is guaranteed to be less than <code>2<sup>31</sup></code>.</li>
+</ul>