Gray Code Generation using Reflection Method

Day 46 of my POTD Challenge Today’s problem was Gray Code. The task is to generate a sequence of n-bit numbers such that two consecutive numbers differ by only one bit. Problem Idea: In normal binary counting, multiple bits can change at once. But in Gray Code, we ensure that only one bit changes between adjacent numbers. Core Insight: There is a simple pattern to generate Gray Code: 👉 Start with n = 1: 0, 1 👉 For every next step: Take the previous sequence Add 0 in front of all numbers Then take the reverse of the sequence and add 1 in front Example (n = 2): 0, 1 → add 0 → 00, 01 → reverse + add 1 → 11, 10 Final → 00, 01, 11, 10 Approach I used: Start with base case Use reflection method to build sequence step by step Convert binary to integer if required What I learned: Learned a new pattern-based generation technique Understood how reflection helps maintain constraints Improved thinking about bit manipulation problems A very interesting problem that combines patterns and bit logic. #POTD #DSA #Java #BitManipulation #GrayCode #CodingChallenge #ProblemSolving #LearningInPublic #100DaysOfCode #TechJourney

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