Recovering a swapped BST with Inorder Traversal

Day 72: Partition List 🔗 I'm back to linked lists on Day 72 of #100DaysOfCode by solving "Partition List." The challenge is to rearrange a linked list around a value x, such that all nodes less than x come before all nodes greater than or equal to x, while preserving the original relative order within each partition. My solution uses a two-list approach with dummy nodes: Creation of Two Lists: I initialize two separate dummy nodes: less_dummy and greater_dummy. Partitioning: I iterate through the original list once. If a node's value is less than x, I append it to the less list; otherwise, I append it to the greater list. This inherently preserves the relative order within each group. Merging: After the single pass, I set the next pointer of the tail of the less list to the head of the greater list (less_tail.next = greater_dummy.next). Crucially, I set the tail of the greater list to None to prevent cycles (greater_tail.next = None). This single-pass method achieves an optimal O(n) time complexity and O(1) extra space complexity (excluding the new nodes being rearranged). My solution was accepted with 100% runtime efficiency! #Python #DSA #Algorithms #LinkedList #100DaysOfCode #ProblemSolving

Day 57: Binary Tree Zigzag Level Order Traversal 🎢 I'm continuing my journey with an advanced tree traversal problem on Day 57 of #100DaysOfCode: "Binary Tree Zigzag Level Order Traversal." The challenge is to return the nodes of a binary tree level by level, alternating the direction of traversal (left-to-right, then right-to-left, and so on). My solution builds upon the standard Breadth-First Search (BFS) algorithm, using a queue (deque): Level Traversal: I process the tree level by level, finding the level_size in each iteration. Direction Toggle: I use a boolean flag (left_to_right) to track the current direction. Zigzag Logic: Inside the level loop, I use a simple conditional: if left_to_right is true, I append the node value normally. If it's false, I insert the node value at the beginning of the current level's list (current_level.insert(0, node.val)). Optimal Flip: After processing the entire level, I flip the left_to_right flag (left_to_right = not left_to_right) for the next level. This single-pass BFS approach ensures all nodes are visited exactly once, achieving an optimal O(n) time complexity and O(n) space complexity. My solution was accepted with 100% runtime efficiency! #Python #DSA #Algorithms #Trees #BFS #100DaysOfCode #ProblemSolving #Zigzag

🚀 𝐃𝐚𝐲 𝟏𝟑 𝐨𝐟 #𝟏𝟔𝟎𝐃𝐚𝐲𝐬𝐎𝐟𝐂𝐨𝐝𝐞 — 𝐏𝐚𝐥𝐢𝐧𝐝𝐫𝐨𝐦𝐞 𝐍𝐮𝐦𝐛𝐞𝐫 | 𝐒𝐭𝐫𝐢𝐧𝐠𝐬 🧩 Today’s focus was on a simple yet classic logic check — determining if a number reads the same forward and backward. While it looks straightforward, it’s a great reminder that elegant solutions often come from clarity, not complexity. Problem: 𝐂𝐡𝐞𝐜𝐤 𝐢𝐟 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐞𝐫 𝐢𝐬 𝐚 𝐩𝐚𝐥𝐢𝐧𝐝𝐫𝐨𝐦𝐞. Approach: Convert the integer to a string and compare it with its reverse. Time Complexity: O(n) Space Complexity: O(n) This small exercise reinforces foundational reasoning that scales up when designing more complex systems — where reversing, mirroring, or symmetry detection shows up in data validation, pattern recognition, and even natural language tasks. 🔗 GitHub: https://lnkd.in/gaim_PJS #Python #LeetCode #CodingChallenge #160DaysOfCode #ProblemSolving #DSA #AIEngineerJourney

🚀 DSA Challenge – Day 80 Problem: Maximum Distance Between Valid Pairs 🌊📏 Today’s problem tested the combination of binary search and array monotonicity — finding the farthest valid pair between two non-increasing arrays! 🧠 Problem Summary: We’re given two non-increasing arrays, nums1 and nums2. A pair (i, j) is valid if: i ≤ j, and nums1[i] ≤ nums2[j]. The goal is to find the maximum distance (j - i) among all valid pairs. ⚙️ My Approach: 1️⃣ Iterate through each element in nums1. 2️⃣ Use binary search on nums2 to find the farthest valid index satisfying the condition. 3️⃣ Keep track of the maximum j - i distance encountered. This solution leverages the sorted (non-increasing) property of arrays for logarithmic efficiency. 📈 Complexity: Time: O(n log m) → For each element in nums1, a binary search on nums2. Space: O(1) → Only a few variables used. ✨ Key Takeaway: Sometimes, monotonic properties allow you to blend binary search with iteration — turning what looks like a brute-force problem into a clean and efficient search-based solution. ⚡ 🔖 #DSA #100DaysOfCode #LeetCode #ProblemSolving #Algorithms #BinarySearch #TwoPointers #CodingChallenge #Python #InterviewPrep #TechCommunity #Optimization #EfficientCode #CodeEveryday

🚀 Solving Binary Subarray With Sum — From Brute Force to Optimal I recently solved LeetCode 930: Binary Subarray With Sum, and it turned out to be a great learning path across multiple techniques 💡 Problem: Count subarrays in a binary array whose sum equals a target (goal). My approach evolution: 1️⃣ Brute Force (O(n²)) – Check all (i, j) pairs. 2️⃣ Prefix Sum Array – Simplified sum calculation but still O(n²). 3️⃣ Prefix Sum + HashMap (O(n)) – Store prefix frequencies to count valid subarrays efficiently. 4️⃣ Sliding Window – For binary arrays, maintain subarray sum dynamically. 5️⃣ Special Case (goal == 0) – Count zero stretches combinatorially: k * (k + 1) / 2. ✅ Final solution combines: Prefix Sum Frequency (for goal > 0) Zero Stretch Counting (for goal = 0) Key takeaway: From brute force to optimized O(n), this problem teaches how prefix sums, hash maps, and combinatorics work together for elegant problem-solving. #LeetCode #ProblemSolving #DataStructures #Algorithms #CodingJourney #PrefixSum #SlidingWindow #Python

⚡ Understanding Quick Sort 🎯 Problem: Given an array of numbers, sort them in ascending order using the Quick Sort algorithm. 🧠 Concept: - Quick Sort is a powerful Divide & Conquer algorithm that sorts by selecting a pivot and placing it in its correct position. - Once the pivot settles, elements smaller than it move to the left, and larger ones move to the right — forming two sub-arrays that get sorted recursively. 🔹 Select a pivot (commonly the first, last, or a random element). 🔹 Move all smaller elements to the left of the pivot. 🔹 Move all larger elements to the right. 🔹 Recursively sort the left and right sub-arrays. 🔹 The array becomes fully sorted after all pivots settle into their correct spots. ⚙️ How the Partitioning Works: - Two pointers i (from the left) and j (from the right) move inward. - i moves until it finds an element greater than the pivot. - j moves until it finds an element smaller than the pivot. - If i < j, the elements are swapped. - Finally, the pivot is swapped into its correct position (j). - This makes j the partition index, and sorting continues around it. 🕒 Time Complexity: Average / Best: O(N log N) – Efficient due to effective partitioning. Worst: O(N²) – Happens when pivots are chosen poorly (like already sorted arrays without randomization). 💾 Space Complexity: O(1) – Only in-place swaps are used (excluding recursion stack). #Python #DSA #DsaStriver #LearnDaily #Share #ProblemSolving

🚀 DSA Challenge – Day 90 Problem: Single Element in a Sorted Array ⚙️🔍 This problem was a clever application of binary search where understanding the index patterns of paired elements was the key to achieving logarithmic efficiency. 🧠 Problem Summary: You are given a sorted array where every element appears exactly twice, except for one element that appears only once. Your task: return that single element in O(log n) time and O(1) space. ⚙️ My Approach: 1️⃣ Used binary search to narrow down the segment containing the single element. 2️⃣ Checked if the middle element breaks the pairing rule — if so, that’s our unique number. 3️⃣ Observed the pattern: Before the single element, pairs start at even indices. After it, pairs start at odd indices. 4️⃣ Used this parity observation to adjust the search boundaries efficiently. 📈 Complexity: Time: O(log n) → Binary search halves the search space each step. Space: O(1) → Constant space used. ✨ Key Takeaway: Sometimes, the structure of sorted pairs reveals more than meets the eye — a small parity trick transforms a linear scan into a logarithmic search. ⚡ 🔖 #DSA #100DaysOfCode #LeetCode #ProblemSolving #BinarySearch #Algorithms #CodingChallenge #Python #Optimization #EfficientCode #TechCommunity #InterviewPrep #LearningByBuilding #CodeEveryday

🚀 Solved LeetCode 3234: Count Substrings with Dominant Ones! 🧠 Just tackled a challenging substring problem: 3234. Count the Number of Substrings With Dominant Ones. The goal is to find all substrings where the count of '1's is greater than or equal to the square of the count of '0's. A simple O(N²) approach is too slow, so a more optimized strategy is needed. My Approach: Key Insight: The condition ones >= zeros² means the number of zeros in any valid substring is small (at most √N). This is the key to optimization. Fix the Endpoint: I iterate through the string, fixing the end of the potential substring. "Zero-Hopping" Technique: From the end, I iterate backward, but instead of going one by one, I "hop" from each '0' to the previous '0'. A precomputed array makes this hop O(1). Efficient Counting: At each hop, I calculate the number of valid start positions in the segment between the two zeros, bringing the total time complexity down to O(N√N). This was a great puzzle in finding the bottleneck and building an algorithm around it! 🔗 Problem Link: https://lnkd.in/gpmZdskg #LeetCode #Coding #Algorithm #Python #ProblemSolving #SoftwareEngineering #Optimization #LeetCode #Coding #Algorithm #Python #Programming #InterviewPrep

🚀 DSA Challenge – Day 84 Problem: Reachable Nodes in a Restricted Tree 🌲🚫 This problem was a perfect blend of graph traversal and constraint handling, where we must carefully explore a tree while avoiding restricted nodes. 🧠 Problem Summary: You are given a tree with n nodes (0-indexed) and a list of edges that describe the connections between them. Some nodes are restricted, meaning you cannot visit or pass through them. Starting from node 0, the goal is to determine how many nodes are reachable without visiting any restricted ones. ⚙️ My Approach: 1️⃣ Build an adjacency list representation of the tree. 2️⃣ Store all restricted nodes in a set for quick lookup. 3️⃣ Use Depth-First Search (DFS) to traverse the graph, skipping restricted or already visited nodes. 4️⃣ Accumulate a count of all valid reachable nodes. 📈 Complexity: Time: O(n) → Each node and edge is processed once. Space: O(n) → For adjacency list, recursion stack, and visited set. ✨ Key Takeaway: Even simple DFS problems become interesting when constraints are introduced. Efficient use of sets and recursion can elegantly handle conditions like restricted traversal in trees or graphs. 🌿 🔖 #DSA #100DaysOfCode #LeetCode #GraphTheory #TreeTraversal #DFS #Python #ProblemSolving #CodingChallenge #InterviewPrep #Algorithms #EfficientCode #TechCommunity #CodeEveryday #LearningByBuilding

🧩 Day 30 — 4Sum (LeetCode 18) 📝 Problem -Given an integer array nums, return all unique quadruplets [nums[a], nums[b], nums[c], nums[d]] such that: -a, b, c, and d are distinct indices -nums[a] + nums[b] + nums[c] + nums[d] == target -Return the answer in any order. 🔁 Approach -Sort the array to handle duplicates efficiently. -Use a recursive k-sum approach that generalizes 2-sum, 3-sum, and 4-sum problems. -For k > 2, recursively reduce the problem: -Fix one number and call kSum for k - 1 on the remaining array. -Skip duplicates to avoid repeating quadruplets. -For k = 2, use the two-pointer technique: -Move pointers inward based on the sum comparison with the target. -Add valid pairs to the result and skip duplicates. -Backtrack after each recursive call to explore all possible combinations. 📊 Complexity -Time Complexity : O(n³) -Space Complexity : O(k) 🔑 Concepts Practiced -Recursive K-Sum pattern -Two-pointer technique -Sorting and duplicate handling -Backtracking with controlled search space #python #DSA #4Sum #ProblemSolving #Leetcode