Java LeetCode Challenge: K-th Bit in Binary String Sequence

🚀 Day 85 of My 100 Days LeetCode Challenge | Java Today’s problem was a beautiful recursion + pattern observation challenge. We had to find the k-th bit in a recursively defined binary string sequence — and the string grows exponentially with each step. Clearly, constructing the entire string was not an option. The breakthrough came from understanding the structure: Each sequence is built as: S(n) = S(n-1) + "1" + reverse(invert(S(n-1))) Once I noticed the symmetry around the middle element and how the second half mirrors the first (with inversion), the solution became a clean recursive reduction instead of brute force. ✅ Problem Solved: Find K-th Bit in N-th Binary String ✔️ All test cases passed (63/63) ⏱️ Runtime: 0 ms (Beats 100%) 🧠 Approach: Recursion + Divide & Conquer + Symmetry Observation 🧩 Key Learnings: ● Never build exponential structures directly — reduce the problem. ● Recursive definitions often hide symmetry. ● The middle element becomes a powerful pivot. ● Mirroring + inversion patterns simplify complex generation problems. ● Think structurally, not sequentially. This problem reminded me that many recursive constructions are just cleverly disguised divide-and-conquer problems. 🔥 Day 85 complete — stronger recursion intuition and pattern recognition sharpening further. #LeetCode #100DaysOfCode #Java #Recursion #DivideAndConquer #ProblemSolving #DSA #CodingJourney #Consistency

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