Transforming a Solution with a Simple Math Insight

500 Days of Coding - Day 2 Got mesmerized today by how a simple mathematical insight can completely transform a solution. I worked on a LeetCode problem — Minimum Distance Between Three Equal Elements. 👉 My first approach? Brute force with three nested loops. It worked… but barely — around 5% beats. Not satisfying, but I took it as a small win after getting back into problem solving. Then came the real moment. I checked the solution section, and it introduced a beautiful simplification: For indices ( i < j < k ), the distance [ |i - j| + |j - k| + |k - i|=|j-i| + |k- j| + |k - i|=2k-2i ] can be simplified to: [ 2(k - i) ] 💡 That’s it. No need to consider j at all. This tiny mathematical observation: Eliminates one loop Reduces time complexity drastically Turns a brute-force mindset into an optimized one. #ProblemSolving #Coding #DataStructures #Algorithms #GrowthMindset #Consistency

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