Optimizing Jump Game II with Greedy Algorithm

🚀 Day 59 of #100DaysOfCode Today’s problem was Jump Game II, and it turned out to be a great learning experience in understanding how to move from a brute-force mindset to an optimized greedy solution. 🔹 Problem Statement: You are given an array where each element represents the maximum jump length from that position. Starting from index 0, the goal is to reach the last index using the minimum number of jumps. 🔹 Initial Thought (Brute Force): My first instinct was to try all possible jumps from each index using recursion. This approach explores every path to the end and then picks the minimum jumps required. However, this method has a major drawback: * It leads to exponential time complexity * Results in Time Limit Exceeded (TLE) for larger inputs This made it clear that a better, optimized approach was needed. 🔹 Optimized Approach (Greedy): Instead of exploring all possibilities, I learned how to make the best decision at each step using a greedy strategy. The idea is: * Keep track of the farthest index we can reach while traversing * Maintain a current boundary (range) of indices we can explore with the current number of jumps * When we reach the end of this boundary, we increase the jump count and update the boundary to the farthest reachable index This ensures: ✔ Minimum number of jumps ✔ Efficient traversal in a single pass 🔹 Key Variables Used: * farthest→ tracks the maximum reachable index * currEnd→ marks the end of the current jump range * jumps → counts the number of jumps taken 🔹 Time & Space Complexity: ⏱ Time Complexity: O(n) 📦 Space Complexity: O(1) 🔹 Key Learnings from Today: ✨ Greedy algorithms can outperform brute force when decisions can be made locally ✨ Tracking ranges instead of individual paths simplifies the problem ✨ Many array problems are actually about intervals and coverage ✨ Optimization is not always about complex logic—sometimes it’s about observing patterns 🔹 Personal Reflection: Today’s problem reminded me that getting stuck on brute force is okay, but the real growth happens when you step back, rethink, and optimize Each day of this challenge is helping me improve not just my coding skills, but also my problem-solving mindset and ability to think efficiently under constraints. 💯 Consistency > Perfection One step closer to becoming a better developer every single day. #Day59 #100DaysOfCode #DSA #GreedyAlgorithm #LeetCode #CodingJourney #ProblemSolving #Placements #SoftwareDevelopment

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