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robot-bounded-in-circle/README.md

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+<h2>1041. Robot Bounded In Circle</h2><h3>Medium</h3><hr><div><p>On an infinite plane, a robot initially stands at <code>(0, 0)</code> and faces north. The robot can receive one of three instructions:</p>
+
+<ul>
+	<li><code>"G"</code>: go straight 1 unit;</li>
+	<li><code>"L"</code>: turn 90 degrees to the left;</li>
+	<li><code>"R"</code>: turn 90 degrees to the right.</li>
+</ul>
+
+<p>The robot performs the <code>instructions</code> given in order, and repeats them forever.</p>
+
+<p>Return <code>true</code> if and only if there exists a circle in the plane such that the robot never leaves the circle.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre><strong>Input:</strong> instructions = "GGLLGG"
+<strong>Output:</strong> true
+<strong>Explanation:</strong> The robot moves from (0,0) to (0,2), turns 180 degrees, and then returns to (0,0).
+When repeating these instructions, the robot remains in the circle of radius 2 centered at the origin.</pre>
+
+<p><strong>Example 2:</strong></p>
+
+<pre><strong>Input:</strong> instructions = "GG"
+<strong>Output:</strong> false
+<strong>Explanation:</strong> The robot moves north indefinitely.</pre>
+
+<p><strong>Example 3:</strong></p>
+
+<pre><strong>Input:</strong> instructions = "GL"
+<strong>Output:</strong> true
+<strong>Explanation:</strong> The robot moves from (0, 0) -&gt; (0, 1) -&gt; (-1, 1) -&gt; (-1, 0) -&gt; (0, 0) -&gt; ...</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= instructions.length &lt;= 100</code></li>
+	<li><code>instructions[i]</code> is <code>'G'</code>, <code>'L'</code> or, <code>'R'</code>.</li>
+</ul>
+</div>