Peak Index in Mountain Array Binary Search

Day 58/100 | #100DaysOfDSA 🔄🔍 Today’s problem: Search in Rotated Sorted Array A twist on Binary Search with a rotated array. Key idea: Even though the array is rotated, one half is always sorted. Approach: • Use binary search • Find mid element • Check which half is sorted (left or right) • Decide if target lies in the sorted half • Narrow the search accordingly Why it works: At every step, we eliminate half of the search space just like standard binary search. Time Complexity: O(log n) Space Complexity: O(1) Big takeaway: Understanding the structure of the problem helps adapt classic algorithms like binary search. Rotation doesn’t break order — it just shifts it. 🔥 Day 58 done. #100DaysOfCode #LeetCode #DSA #Algorithms #BinarySearch #Arrays #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity

Day 59/100 | #100DaysOfDSA 🔍⚡ Today’s problem: Single Element in a Sorted Array A clever Binary Search problem with a twist. Key observation: In a sorted array where every element appears twice except one, pairs follow a pattern. Before the single element: • First occurrence → even index • Second occurrence → odd index After the single element: • Pattern breaks Approach: • Use binary search • Check mid with its pair using index trick (mid ^ 1) • If nums[mid] == nums[mid ^ 1] → move right • Else → move left This helps pinpoint where the pattern breaks. Time Complexity: O(log n) Space Complexity: O(1) Big takeaway: Bit manipulation + pattern observation can simplify binary search problems significantly. Small tricks → big optimizations. 🔥 Day 59 done. #100DaysOfCode #LeetCode #DSA #Algorithms #BinarySearch #BitManipulation #Arrays #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity

Day 61/100 | #100DaysOfDSA 🧩🚀 Today’s problem: Median of Two Sorted Arrays A classic hard problem with a clever binary search approach. Problem idea: Find the median of two sorted arrays without fully merging them. Key idea: Use binary search on the smaller array to partition both arrays. Why? • We want left half and right half to be balanced • All elements in left ≤ all elements in right How it works: • Pick a cut in array1 • Derive cut in array2 • Check partition validity using boundary elements If valid → we found the median If not → adjust the partition Time Complexity: O(log(min(m, n))) Space Complexity: O(1) Big takeaway: Binary search isn’t just for searching — it can be used to optimize partitions and positions. This one really builds intuition. 🔥 Day 61 done. #100DaysOfCode #LeetCode #DSA #Algorithms #BinarySearch #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity

#100DaysOfCode – Day 2 Today I worked on a DSA problem based on arrays: Check if an array is sorted and rotated 🔍 Approach: Instead of finding the exact rotation point, I focused on identifying a pattern: In a sorted and rotated array, the order should break at most once. So, I checked how many times an element is greater than the next element while traversing the array in a circular manner. ✔️ If the count of such breaks is 0 or 1 → valid ❌ If it’s more than 1 → not a sorted rotated array 🧠 Key Takeaway: This problem taught me how pattern observation can simplify logic and avoid unnecessary complexity. Sometimes the best solution is not the most obvious one! 📈 Staying consistent and improving step by step 💪 #100DaysOfCode #DSA #DataStructures #Algorithms #Java #CodingJourney #ProblemSolving #LeetCode #Consistency

Day 56/100 | #100DaysOfDSA 🧠⚡ Today’s problem: String Compression A clean in-place array manipulation problem. Core idea: Compress consecutive repeating characters and store the result in the same array. Approach: • Traverse the array using a pointer • Count consecutive occurrences of each character • Write the character to the array • If count > 1 → write its digits one by one • Move forward and repeat Key insight: We don’t need extra space — just carefully manage read & write pointers. Time Complexity: O(n) Space Complexity: O(1) Big takeaway: In-place algorithms require precise pointer control but give optimal space efficiency. Mastering these improves real-world memory optimization skills. 🔥 Day 56 done. #100DaysOfCode #LeetCode #DSA #Algorithms #Strings #TwoPointers #InPlace #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity

**Day 116 of #365DaysOfLeetCode Challenge** Today’s problem: **Next Greater Element II (LeetCode 503)** A classic **Monotonic Stack** problem with a twist: 👉 The array is **circular** So after the last element, we continue from the first element. 💡 **Core Idea:** For every number, find the **first greater element** while traversing forward. If none exists → return `-1` Example: Input: `[1,2,1]` Output: `[2,-1,2]` Why? * First `1 → 2` * `2 → no greater` * Last `1 → wrap around → 2` 📌 **Efficient Approach: Monotonic Stack** Use stack to store indices whose next greater element is not found yet. Traverse array **twice**: `0 → 2*n - 1` Use: `idx = i % n` This simulates circular behavior. Whenever current number is greater than stack top element: 👉 Pop index 👉 Update answer ⚡ **Time Complexity:** O(n) ⚡ **Space Complexity:** O(n) **What I learned today:** Circular array problems often become simple when you traverse twice using modulo. 👉 `i % n` This trick appears in many advanced array questions. 💭 **Key Takeaway:** When you see: * Next Greater Element * Previous Smaller Element * Nearest Bigger Value #LeetCode #DSA #MonotonicStack #Stack #Arrays #Java #CodingChallenge #ProblemSolving #TechJourney #Consistency

📘 DSA Journey — Day 35 Today’s focus: Binary Search with index patterns. Problem solved: • Single Element in a Sorted Array (LeetCode 540) Concepts used: • Binary Search • Index parity (even/odd pattern) • Search space reduction Key takeaway: The array is sorted and every element appears twice except one. A key observation: Before the single element, pairs start at even indices After the single element, this pattern breaks. Using binary search: • If mid is even and nums[mid] == nums[mid + 1], the single element lies on the right side • Else, it lies on the left side (including mid) By leveraging this pattern, we can find the answer in O(log n) time and O(1) space. Continuing to strengthen binary search intuition and consistency in problem solving. #DSA #Java #LeetCode #CodingJourney

Day 2/30 — DSA Challenge 🚀 Problem: Lowest Common Ancestor of Deepest Leaves Topic: Tree + DFS Difficulty: Medium Approach: Used DFS to calculate depth of left and right subtrees At each node, compared depths: If equal → current node is LCA Else → return deeper subtree result Mistake / Challenge: Initially overcomplicated thinking about storing all deepest nodes Realized we don’t need to track nodes explicitly, depth comparison is enough Fix: Returned a Pair (node, depth) from recursion Handled everything in one DFS traversal Key Learning: Tree problems often look complex but can be simplified with recursion Focus on what needs to be returned from each call Time Taken: 60 minutes Consistency check ✅ See you on Day 3. GitHub Repo: https://lnkd.in/g87geK_g #DSA #LeetCode #Java #Trees #Recursion #LearningInPublic

🚀 Day 55 of DSA – Median of Two Sorted Arrays Solved a hard binary search problem where we need to find the median of two sorted arrays in O(log(m+n)) time. 💡 Key Insight: Instead of merging both arrays, use binary search on partitions to directly find the correct median. ⚡ Approach: Find partition in the smaller array Adjust partition in the second array accordingly Check if left half and right half are valid Use boundary values to compute median ⏱️ Time Complexity: O(log(min(m, n))) 💾 Space Complexity: O(1) #DSA #LeetCode #Java #Algorithms #BinarySearch #ProblemSolving #CodingJourney

Day 76/100 | #100DaysOfDSA 🧩🚀 Today’s problem: Lowest Common Ancestor of a Binary Tree A fundamental tree problem that builds strong recursion intuition. Problem idea: Find the lowest node in the tree that has both given nodes as descendants. Key idea: DFS + recursion (bottom-up approach). Why? • Each subtree can independently tell if it contains p or q • Combine results while backtracking • First node where both sides return non-null → answer How it works: • If current node is null / p / q → return it • Recursively search left and right subtree • If both left & right are non-null → current node is LCA • Else return the non-null side Time Complexity: O(n) Space Complexity: O(h) (recursion stack) Big takeaway: Tree problems often rely on post-order traversal + combining child results. Understanding this pattern unlocks many binary tree problems. 🔥 Day 76 done. 🚀 #100DaysOfCode #LeetCode #DSA #Algorithms #BinaryTree #Recursion #DFS #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity