Robot Returns to Origin with Simple Parity Logic

Day 95: Back to Square One 🤖📍 Problem 657: Robot Return to Origin Today’s problem was a clean exercise in coordinate tracking. The goal: determine if a sequence of moves (U, D, L, R) brings a robot back to its starting position (0,0). The Logic: • The "Odd" Shortcut: Realized that if the total number of moves is odd, it’s mathematically impossible to return to the origin. Every move needs an opposite to cancel it out. • Coordinate Mapping: Used two variables, x and y, to represent the robot's position. ∘ Horizontal: 'R' increments x, 'L' decrements x. ∘ Vertical: 'U' increments y, 'D' decrements y. • The Verdict: If both x and y are zero after the final move, the robot successfully completed the circle. Sometimes the most effective solutions are the ones that stick to the basics. No complex data structures needed—just simple arithmetic and a bit of parity logic. 🚀 #LeetCode #Java #Algorithms #ProblemSolving #DailyCode

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