Just wrapped up an implementation that counts all square submatrices with a given sum using 2D prefix sums. 🧮 🔍 What’s happening here? Build a prefix sum matrix to enable O(1) submatrix sum queries Iterate over all possible square sizes and positions Check each square’s total efficiently without recomputing sums ⚡ This approach dramatically improves performance compared to brute force and is a powerful technique for grid-based problems in interviews and competitive programming. 📌 Key concepts: #Python #Algorithms #DataStructures #PrefixSum #ProblemSolving #CodingInterview
Optimize Submatrix Sum with Prefix Sums in Python
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Two-pointer technique in action! This solution finds the closest pair from two sorted arrays whose sum is nearest to a target x — all in O(n + m) time. 🔹 No nested loops 🔹 Optimal pointer movement 🔹 Simple logic, powerful result A great example of how understanding patterns beats brute force every time. Perfect for coding interviews and real-world problem solving 🚀 #Python #DSA #Algorithms #TwoPointers #CodingInterview #ProblemSolving #SoftwareEngineering
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🚀 Built an A* Pathfinding Visualizer using Python & Tkinter I recently implemented the A* (A-Star) Algorithm with a graphical interface using Python. 🔹 Implemented Manhattan Heuristic 🔹 Used Priority Queue (heapq) 🔹 Even numbers treated as obstacles 🔹 Animated shortest path visualization 🔹 Built interactive grid using Tkinter This project helped me understand: ✔️ Heuristic search ✔️ Open & Closed sets ✔️ g(n), h(n), f(n) concepts ✔️ Real-world applications like maps & games Excited to explore more in AI and algorithm visualization 🚀 #Python #AI #DataStructures #Algorithms #Pathfinding #ComputerScience #Learning
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✅ Day 16 of #DSAPrep > Problem: Bubble Sort > Concept: Sorting Algorithm Implemented Bubble Sort by comparing adjacent elements and swapping them if they are in the wrong order. With each iteration, the largest element moves to its correct position at the end of the array. > Key Idea: - Compare adjacent elements - Swap if left element is greater than right - Repeat until the array is sorted > Time Complexity: O(n²) > Space Complexity: O(1) #DSAPrep #Algorithms #Python #Sorting #ProblemSolving #CodingJourney
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Merge Intervals (LeetCode 56) - Medium Key Learnings: Sorting: By sorting intervals based on their start times, we can process them in a single pass (O(N)). Overlap Logic: Comparing the current_start with the previous_end time is the secret sauce to identifying overlaps. Space-Time Tradeoff: Sorting takes O(N log N) time, and we use O(N) space to store the results. #CodingJourney #LeetCode #Blind75 #SDEPreparation #SoftwareEngineering #Python #DataStructures
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I'm wrapping up 𝐝𝐲𝐧𝐚𝐦𝐢𝐜-𝐝𝐞𝐬, a new Python package extending 𝘚𝘪𝘮𝘗𝘺 to build live 𝐃𝐢𝐠𝐢𝐭𝐚𝐥 𝐓𝐰𝐢𝐧𝐬. 🚀 It turns static simulations into real-time, event-driven models capable of updating parameters on the fly and streaming live telemetry. I'll be publishing it to PyPI soon! Here is a sneak peek at the control dashboard in action. 👇 Code and repo dropping shortly, fingers crossed! #DigitalTwin #SimPy #Python #DES #Simulation #Kafka #Engineering
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🔁 Rotate Matrix by 90° — Clean In-Place Trick! Solved the classic Rotate Matrix by 90° problem using a simple observation: • Transpose the matrix • Reverse it column-wise This approach rotates the matrix in-place with O(n²) time and O(1) extra space. Sometimes the best solutions come from simple transformations on the matrix. 🚀 #DSA #ProblemSolving #Python #CodingInterview #Algorithms
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Reducing 3Sum from O(n³) to O(n²): The Power of Sorting + Two Pointers Most developers first approach 3Sum with nested loops, hitting O(n³) complexity. The breakthrough: sort the array first, then reduce it to n iterations of the Two Sum problem. For each element as the fixed anchor, use two pointers on the remaining sorted portion to find pairs that complete the triplet. Sorting unlocks directional movement (move left if sum too high, right if too low), collapsing a dimension of complexity. The Critical Detail: Duplicate handling isn't just about correctness — it's about recognizing that sorted order lets you skip duplicates in O(1) rather than using a HashSet for deduplication. The while nums[l] == nums[l-1] skip after finding a valid triplet prevents processing identical combinations. Time: O(n²) | Space: O(1) excluding output #AlgorithmOptimization #TwoPointers #Sorting #ComplexityReduction #Python #CodingInterview #SoftwareEngineering
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Column-Wise Comparison: Finding Longest Common Prefix in O(n×m) Instead of comparing strings pairwise, iterate character-by-character across all strings simultaneously. For each position, check if all strings have matching characters. First mismatch or string exhaustion? Return accumulated prefix. This column-wise approach processes each character exactly once. Why Column-Wise Wins: Early termination on first mismatch avoids processing remaining characters. Best case (common prefix is short): O(m) where m = prefix length. Worst case: O(n×k) where k = shortest string length. Time: O(n×m) where n = string count, m = min string length | Space: O(1) #StringAlgorithms #EarlyTermination #CommonPrefix #Python #AlgorithmOptimization #SoftwareEngineering
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Watching an image reconstruct itself. 🛠️ Following up on my last post about sinograms—I finished the backprojection implementation in Python. It’s one thing to read that a CT image is "reconstructed" from projections; it’s another to watch it happen frame-by-frame. In the video: The Comparison: A side-by-side of the original digital phantom and my reconstructed result. The Process: The "streaks" of data from the sinogram being layered back over the canvas until the final anatomy emerges. The Technical Reality Check: The biggest challenge was the blur. Without applying a filter (like a Ramp filter) before backprojecting, the result is just a fuzzy "star" artifact. Coding the filter was the secret to getting the crisp edges you see in the comparison. This project turned a "dry" exam topic into a working tool. Now, I can actually see the math working. #MedicalImaging #Python #RadonTransform #Coding #STEM #CT
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Floyd's Cycle Detection always felt like magic to me. Two pointers. One moves 1 step. The other moves 2. If they meet — there's a cycle. Then a second phase finds exactly where the cycle starts. But WHY does this work? Why does resetting slow to head and moving both at 1 step guarantee they meet at the cycle start? The proof is mathematical, but the intuition is visual. I built an animation that shows the tortoise and hare chasing through the cycle. You watch them converge, meet, and then trace back to the start — step by step, synced with Python code. Once you see it, you never forget it. https://lnkd.in/gHhQtANE #FloydAlgorithm #TwoPointers #LeetCode142 #CodingInterview #Algorithms #DataStructures #Python #FAANG #AlgoVision
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