On an infinite plane, a robot is positioned at $(0, 0)$ and initially faces north. The robot receives a sequence of commands represented by a string instructions.

Each character in instructions represents one of the following actions:

• 'G': Move forward $1$ step in the current direction.

• 'L': Turn $90$ degrees counterclockwise.

• 'R': Turn $90$ degrees clockwise.

The robot performs the entire sequence of instructions in order, repeating it indefinitely.

Return true if there exists a circle in the plane that the robot never leaves, and false otherwise.

Constraints:

• $1 \le$ instructions.length $\le 100$

• instructions[i] is 'G', 'L', or 'R'

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.