LeetCode Challenge Day 18: Count Submatrices with Top-Left Element and Sum ≤ k

🚀 Day 18 of 100 Days LeetCode Challenge Problem: Count Submatrices with Top-Left Element and Sum ≤ k Today’s problem is a clean application of 2D Prefix Sum (Cumulative Sum) 🔥 💡 Key Insight: All valid submatrices must: Start from the top-left corner (0,0) Extend to any cell (i, j) 👉 So instead of checking all submatrices, we just: Compute sum from (0,0) to (i,j) Check if it’s ≤ k 🔍 Core Approach: 1️⃣ Build Prefix Sum Matrix prefix[i][j] = sum of all elements from (0,0) to (i,j) 2️⃣ Iterate Through Grid For every (i, j): If prefix[i][j] ≤ k → count it ✅ 👉 That’s it! No need for complex nested submatrix checks 🚀 🔥 What I Learned Today: Constraints simplify problems → use them wisely 2D prefix sum reduces O(n⁴) → O(n²) Always check if the problem has a fixed starting point 📈 Challenge Progress: Day 18/100 ✅ Almost 20 days consistency! LeetCode, Prefix Sum, Matrix, 2D Arrays, Optimization, Algorithms, DSA Practice, Coding Challenge, Problem Solving #100DaysOfCode #LeetCode #DSA #CodingChallenge #PrefixSum #Matrix #ProblemSolving #TechJourney #ProgrammerLife #SoftwareDeveloper #CodingLife #LearnToCode #Developers #Consistency #GrowthMindset #InterviewPrep

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