LeetCode Daily Challenge: Four Divisors Optimization

🚀 LeetCode Daily Challenge – Day 4 Problem #1390: Four Divisors (Medium) Today’s problem was one of those that really tested my patience and understanding of time complexity. 🧭 How I Approached the Question: I initially started with a brute-force approach, checking all numbers from 1 to n to find divisors. While this worked for small cases, it quickly became inefficient and failed on larger inputs. I then optimized by: Iterating only up to √n Counting divisors in pairs Breaking early once the divisor count exceeded 4 The key learning moment was realizing that: 👉 A number can have exactly four divisors only when it fits specific mathematical patterns, and we don’t need to enumerate all divisors. Using this insight, I avoided unnecessary loops, skipped perfect squares, and stopped as soon as extra divisors were found — which finally passed all test cases. ⏱ Time Complexity: O(n√k) (with early exits) 📦 Space Complexity: O(1) This problem reinforced an important lesson: 👉 Brute force helps you start, but optimization and math help you finish. 📌 Stay tuned for more daily problem-solving insights and honest coding learnings! #LeetCode #DailyCoding #DataStructures #Algorithms #ProblemSolving #Python #DSA #CodingJourney #LearningInPublic #SoftwareEngineering

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