"Day 49 of #100DaysOfCode: Binary Exponentiation Challenge"

🚀 Day 49 of #100DaysOfCode — Leetcode + HackerRank Edition! Today’s challenge was a deep dive into efficient math logic — computing powers with binary magic ⚡🧠 🧩 myPow(x: float, n: int) -> float — Calculate x^n using fast exponentiation 📌 Challenge: → Implement a function that computes x^n → Handle negative exponents gracefully → Optimize for large n without brute force 🔍 Approach: → Use binary exponentiation to reduce time complexity from O(n) to O(log n) → Check each bit of n using n & 1 to decide whether to multiply → Square x and shift n right (n >>= 1) to walk through its binary form → Handle negative n by flipping x to 1/x and making n positive 💡 What made it click: → Realized that n & 1 checks the least significant bit — perfect for bitwise logic → Saw how x *= x builds powers of 2: x^1,x^2,x^4,x^8... → Practiced dry runs with x = 2, n = 13 → binary 1101 📚 What I learned: ✅ How bitwise operations can replace loops for power calculations ✅ Why binary exponentiation is a game-changer for performance ✅ How to handle negative powers cleanly Ever implemented exponentiation without using ** or pow()? Let’s swap bit tricks, dry runs, and math optimizations 💬 #Day49 #Leetcode #Python #BinaryExponentiation #BitwiseMagic #DryRun #LearnInPublic #CodeNewbie #TechJourney #100DaysOfCode #DSA

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