LeetCode Day 15: Fancy Sequence Math Optimization

🚀 Day 15 of 100 Days LeetCode Challenge Problem: Fancy Sequence Today’s problem was a design + math optimization challenge 🔥 not your typical DSA question. 💡 Key Insight: Instead of updating all elements every time (O(n)), we delay operations using math. 👉 Maintain: A global multiplier (mul) A global increment (add) So every value is interpreted as: ➡️ actual_value = val * mul + add 🔍 Core Approach: 1️⃣ append(val) Store a transformed value: val' = (val - add) / mul (handle modulo carefully) 2️⃣ addAll(inc) Just update: add += inc 3️⃣ multAll(m) Update both: mul *= m add *= m 4️⃣ getIndex(idx) Return: val * mul + add (mod 10⁹ + 7) 👉 This avoids updating the entire array repeatedly 🚀 🔥 What I Learned Today: Lazy updates can turn O(n) → O(1) Math transformations are powerful in design problems Think in terms of global effect instead of local updates 📈 Challenge Progress: Day 15/100 ✅ Halfway to 30! LeetCode, Design Problem, Math Optimization, Lazy Updates, Modular Arithmetic, Data Structures, DSA Practice, Coding Challenge, Problem Solving #100DaysOfCode #LeetCode #DSA #CodingChallenge #DesignProblem #Math #Optimization #ProblemSolving #TechJourney #ProgrammerLife #SoftwareDeveloper #CodingLife #LearnToCode #Developers #Consistency #GrowthMindset #InterviewPrep

  • graphical user interface, application

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