Simulation with Direction Tracking and Obstacle Set
Initialize the robot's position at (0, 0) and facing north.
Create a set to store obstacles for efficient lookup.
Define a direction vector to represent the four possible directions the robot can face.
Iterate through each command in the commands list.
a. If the command is -2 or -1, update the robot's direction.
b. If the command is a positive integer, move the robot forward one step at a time, checking for obstacles.
After each move, calculate the Euclidean distance squared from the origin and update the maximum distance if necessary.
Return the maximum distance squared.
Brute Force Simulation with Direction and Position Tracking