Java DSA Journey: Guess Number Higher or Lower with Binary Search

🚀 Day 1 of Java with DSA Journey 📌 Topic: Binary Search (LeetCode 704) 💬 “Today I practiced a very fundamental problem from LeetCode.” Today was all about efficiency and smart problem solving. While Linear Search checks every element one by one, Binary Search drastically reduces the search space by half in each step — making it one of the most powerful techniques in DSA. ✨ What I Learned: 🔹 Divide & Conquer: Reducing the problem size at every step leads to faster solutions 🔹 Prerequisite: Works only on sorted arrays 🔹 Implementation: Used iterative approach with two pointers (low & high) 🔹 Time Complexity: O(log n) | Space Complexity: O(1) 🔹 Common Mistake: Wrong mid calculation or improper pointer updates causing infinite loops 🔹 Real-World Use: Search engines, databases, efficient lookup systems 🔹 Optimization Insight: Much faster than Linear Search (O(n)) for large datasets 💡 Pro Tip (Java Developers): Always calculate mid like this: mid = low + (high - low) / 2; 👉 Prevents integer overflow and makes your code production-ready. 🧠 Performance Insight: ✔️ Linear Search: If you have 1 million elements, you might check 1 million times. ✔️ Binary Search: For that same 1 million elements, you only need 20 checks max. That’s the power of optimization ⚡ 💡 Insight: Understanding how to reduce problem size is the key to writing efficient algorithms. Even the simplest problems build the strongest foundation. Consistency is the real key 🔑 #DSA #Java #LeetCode #CodingJourney #BinarySearch #ProblemSolving #SoftwareEngineering #Day1

Day 7.2 of Java with DSA Journey 🚀 📌 Topic: Find All Numbers Disappeared in an Array (LeetCode 448) Quote: "Constraints are not limitations—they are invitations to think smarter." ✨ What I learned today: 🔹 In-Place Hashing (Pro Trick): When extra space is restricted, the input array itself can act like a HashMap. 🔹 Index Mapping Insight: Since values are in range [1, n], each number maps to an index: 👉 index = value - 1 🔹 Sign Flipping Technique: Mark elements as “visited” by flipping the value at the mapped index to negative. ✔️ Negative → already seen ✔️ Positive → missing number 🔹 Efficiency: ✔️ Time Complexity: O(n) ✔️ Space Complexity: O(1) (No extra data structures used!) 🧠 Problem Solved: ✔️ Find All Numbers Disappeared in an Array 💡 Key Insight: This problem completely changed how I look at arrays. Instead of using extra memory like HashSet, I learned how to store state inside the array itself. That’s a powerful mindset shift for interviews 🚀 ⚡ Interview Insight (High-Value Pattern): Whenever you see: Numbers in range [1, n] or [0, n] Need to find missing / duplicate elements Constraint of O(1) space 👉 Think Index as Hash Key This is a top-tier pattern asked in product-based companies. Consistency is the real key 🔑 #DSA #LeetCode #Java #CodingJourney #ProblemSolving #Algorithms #Array #InterviewPrep #Optimization #Day8 ##MCA #lnct #100DaysOfCode #SoftwareEngineering #InPlaceAlgorithms #TechLearning #JavaDeveloper

Day 9.2 of Java with DSA Journey 🚀 📌 Problem: Number of Steps to Reduce a Number to Zero (LeetCode 1342) At first glance, this looks too easy… But hidden inside is a powerful idea: 👉 Thinking in binary instead of decimal 💡 Core Idea Keep reducing the number until it becomes 0: Even → divide by 2 Odd → subtract 1 Simple rule. Powerful pattern. 🧠 Key Learnings 🔹 Iterative Thinking Used a loop to repeatedly transform the state 🔹 Decision Making per Step Even vs Odd → determines next move 🔹 Bitwise Insight num % 2 == 0 → (num & 1) == 0 num / 2 → num >> 1 ⚡ Complexity ⏱ Time: O(log n) 📦 Space: O(1) 🔥 Pro Tips (Interview Level) 💡 Tip 1: Think in Binary, Not Decimal Every division by 2 removes one bit → that's why complexity is logarithmic. 💡 Tip 2: Count Operations Without Simulation Steps = 👉 (Number of bits - 1) + (Number of 1s in binary) Example: 14 → 1110 Steps = (4 - 1) + 3 = 6 💡 Tip 3: Bitwise > Arithmetic (When Optimizing) Replace: % 2 → & 1 / 2 → >> 1 This shows low-level understanding. 💡 Tip 4: Pattern Recognition Matters This problem is not about loops… It’s about recognizing bit reduction patterns. 💡 Tip 5: Always Look for Hidden Math Even simple problems often have a mathematical shortcut behind them. 🔥 Real Insight This problem teaches a subtle shift: ❌ “Keep applying rules” ✅ “Understand what each operation does to the binary structure” That’s how you move from coding → engineering. Consistency compounds 📈 #DSA #LeetCode #Java #CodingJourney #ProblemSolving #Day9 #BitManipulation #InterviewPrep #CleanCode #Array #Optimization #MCA #lnct #100DaysOfCode #SoftwareEngineering #Algorithms #InPlaceAlgorithms #TechLearning #JavaDeveloper

🚀 Day 11 of Java with DSA Journey — This one blew my mind 🤯 📌 Problem: Power of Three (LeetCode 326) Yesterday, I used bit manipulation for Power of Two. Today? 👉 That approach completely fails. So I had to think differently… 💡 Breakthrough Idea Instead of loops or recursion… I used math + number theory to solve it in O(1) time. 👉 1162261467 % n == 0 Yes, one line. 🧠 Key Learnings 🔹 Bitwise isn’t universal Works great for base-2, but not for base-3 🔹 Prime Numbers Matter Since 3 is prime, its powers divide each other perfectly 🔹 Max Value Trick Largest power of 3 in 32-bit int = 3^19 = 1162261467 ⚡ Complexity ⏱ Time: O(1) 📦 Space: O(1) 🔥 Pro Tips (Interview Level) 💡 Tip 1: Know Your Data Type Limits Many O(1) tricks depend on constraints like 32-bit integer limits 💡 Tip 2: Prime Numbers Unlock Shortcuts If a number is prime, its powers have clean divisibility properties 💡 Tip 3: Always Question the Default Approach Most people write: while (n % 3 == 0) n /= 3; 💡 Tip 4: This is a Pattern Power of 2 → bitwise Power of 3 → math Power of 4 → hybrid 💡 Tip 5: Edge Cases First Always check n <= 0 🔥 Real Insight This problem forced me to shift my thinking: ❌ Rely on one technique ✅ Adapt based on the problem Consistency compounds 📈 #DSA #LeetCode #Java #CodingJourney #ProblemSolving #NumberTheory #InterviewPrep #Day11 #BitManipulation #CleanCode #Array #Optimization #MCA #lnct #100DaysOfCode #SoftwareEngineering #Algorithms #InPlaceAlgorithms #TechLearning #JavaDeveloper

Day 4 of Java with DSA Journey 🚀 📌 Topic: Search Insert Position (LeetCode 35) 💬 Quote: "Binary Search is about more than finding a needle in a haystack; it's about knowing exactly where to put a new needle." ✨ What I Learned: 🔹 Power of the low Pointer: If the target isn’t found, low directly gives the correct insertion index. 🔹 Finding Position Even When Missing: Binary Search doesn’t just search — it tells you where the element belongs. 🔹 Efficient Gap Detection: Even for missing values, we maintain O(log n) efficiency. 🔹 Complexity: ⏱ Time: O(log n) 📦 Space: O(1) 🧠 Problem Solved: ✔️ Search Insert Position 💡 Key Insight: Binary Search helps determine the rank/position of a number in a sorted array — whether it exists or not ⚡ ⚡ Interview Insight (Post-Loop Behavior): 👉 When the loop ends (low > high): low → first index greater than target high → last index smaller than target 🎯 That’s why low = insert position 🔑 Takeaway: Binary Search is not just about finding — it's about positioning. Consistency is the real key 🔑 #DSA #LeetCode #Java #CodingJourney #BinarySearch #ProblemSolving #100DaysOfCode #Algorithms #TechLearning #Day4 #Array #MCA #lnct

Day 10.2 of Java with DSA Journey 🚀 📌 Problem: Base 7 Conversion (LeetCode 504) At first, this looks like a simple math problem… But it actually teaches something deeper: 👉 How numbers are built in different systems 💡 Core Idea To convert a number from base 10 → base 7: Divide by 7 Store remainder Repeat until 0 Reverse the result 🧠 Key Learnings 🔹 Understanding Number Systems Decimal (base 10) is just one system—this logic works for ANY base 🔹 Modulo + Division Pattern num % base → current digit num / base → move to next position 🔹 Why Reverse? We generate digits from least significant → most significant ⚡ Complexity ⏱ Time: O(log₇ n) 📦 Space: O(log₇ n) 🔥 Pro Tips (Interview Level) 💡 Tip 1: This is a Universal Pattern This exact logic works for: Binary (base 2) Octal (base 8) Hex (base 16) 👉 Learn once, apply everywhere. 💡 Tip 2: Handle Negatives Separately Always convert using abs(num) and attach - later This avoids tricky modulo behavior. 💡 Tip 3: Avoid String Concatenation in Loops Use StringBuilder 👉 Shows awareness of time complexity + memory efficiency 💡 Tip 4: Reverse Thinking = Interview Gold If you're building output backward → think reverse at the end 💡 Tip 5: Hidden Optimization Insight If allowed, you could also: Use recursion → cleaner logic Or pre-calculate size for optimization 🔥 Real Insight This problem is not about Base 7… It’s about understanding: 👉 How computers represent and transform numbers internally Once you master this, you can convert between any number systems. Consistency builds depth 📈 #DSA #LeetCode #Java #CodingJourney #ProblemSolving #Algorithms #MathLogic #Day10 #BitManipulation #InterviewPrep #CleanCode #Array #Optimization #MCA #lnct #100DaysOfCode #SoftwareEngineering #Algorithms #InPlaceAlgorithms #TechLearning #JavaDeveloper

Day 6 of Java with DSA Journey 🚀 📌 Topic: Max Consecutive Ones (LeetCode 485) 💭 Quote: "Progress is about maintaining momentum—just like a streak of consecutive ones." ✨ What I learned today: 🔹 State Tracking: Learned how to maintain a current streak vs a maximum streak — a key concept for sequence-based problems. 🔹 The Power of Resetting: Understanding when to reset the counter (on encountering 0) is crucial to solving streak problems correctly. 🔹 Simple Yet Powerful Logic: No complex data structures needed — just a clean linear scan with strong logic. 🔹 Performance: ✔️ Time Complexity: O(n) (Single pass) ✔️ Space Complexity: O(1) (Only variables used) 🧠 Problem Solved: ✔️ Max Consecutive Ones 💡 Key Insight: This problem is a foundation for the Sliding Window pattern. Instead of managing two pointers, we track a running window of 1s that resets when a 0 appears. ⚡ Interview Insight – Using Math.max(): Instead of writing: if (current > max) max = current; Using: max = Math.max(max, current); makes the code cleaner and more professional — a small detail that reflects strong coding practices. 📈 Growth Reflection: With each problem, I’m focusing on: 🔹 Explaining logic clearly and step-by-step (important for interviews) 🔹 Thinking in patterns (like Sliding Window & State Tracking) 🔹 Writing clean and optimized code like a software engineer Consistency is the real key 🔑 #DSA #LeetCode #Java #CodingJourney #SlidingWindow #ProblemSolving #Day6 #SoftwareEngineer #Algorithms #Array #MCA #lnct #100DaysOfCode #Algorithms #SoftwareEngineering #InPlaceAlgorithms #TechLearning #JavaDeveloper

🚀 DAY 99/150 — BINARY SEARCH ON ANSWER! 🔥📊 Day 99 of my 150 Days DSA Challenge in Java and today I solved a very important problem that uses Binary Search in a 2D matrix 💻🧠 📌 Problem Solved: Kth Smallest Element in a Sorted Matrix 📌 LeetCode: #378 📌 Difficulty: Medium–Hard 🔹 Problem Insight The task is to find the kth smallest element in an n x n matrix where: • Each row is sorted • Each column is sorted 👉 Instead of flattening and sorting (O(n² log n)), we can do better using Binary Search on Answer. 🔹 Approach Used I used Binary Search on Value Range: • Set: low = smallest element high = largest element • Apply binary search: Find mid Count how many elements are ≤ mid 👉 If count < k → move right (low = mid + 1) 👉 Else → move left (high = mid) ✔️ Continue until low == high → answer found 🔹 Counting Logic (Optimized) • Start from bottom-left corner • If element ≤ mid: All elements above are also ≤ mid Move right • Else: Move up ✔️ This gives O(n) counting per iteration ⏱ Complexity Time Complexity: O(n log (max - min)) Space Complexity: O(1) 🧠 What I Learned • Binary Search is not just for arrays — it can be applied on answer space • Matrix properties can be used for efficient counting • Avoid brute force by leveraging sorted structure 💡 Key Takeaway This problem taught me: How to apply Binary Search on Answer pattern How to optimize 2D problems using structure Thinking beyond direct sorting approaches 🌱 Learning Insight Now I’m improving at: 👉 Recognizing when to use Binary Search beyond arrays 👉 Solving problems with optimized thinking 🚀 ✅ Day 99 completed 🚀 51 days to go 🔗 Java Solution on GitHub: 👉 https://lnkd.in/g-yhc7kH 💡 Don’t search the data — search the answer. #DSAChallenge #Java #LeetCode #BinarySearch #Matrix #Optimization #150DaysOfCode #ProblemSolving #CodingJourney #InterviewPrep #LearningInPublic

Day 10 of Java DSA Journey 🚀 📌 Problem: Power of Two (LeetCode 231) Most people solve this using loops: ➡️ Keep dividing by 2 until you reach 1 But today I learned something better: 👉 You can solve it in ONE line using bit manipulation 🤯 💡 Core Idea A number is a power of two if: ✔️ It has only one ‘1’ in its binary form Examples: 1 → 0001 2 → 0010 4 → 0100 16 → 10000 🧠 The Magic Trick 👉 n & (n - 1) This removes the rightmost set bit So: If result = 0 → only one bit was set → ✅ Power of Two Else → ❌ Not a power of two ⚡ Complexity ⏱ Time: O(1) 📦 Space: O(1) 🔥 Pro Tips (Interview Level) 💡 Tip 1: Always Check Positivity First n > 0 is mandatory — bit tricks fail for negative numbers. 💡 Tip 2: Understand, Don’t Memorize n - 1 flips: the rightmost 1 → 0 all bits after it → 1 That’s why the trick works. 💡 Tip 3: This Pattern Appears Everywhere The same trick is used in: Counting set bits Subset generation Low-level optimizations 👉 Learn it once, reuse forever. 💡 Tip 4: Alternative Trick (Even Cleaner) Another way: 👉 (n & -n) == n This isolates the lowest set bit. If it's equal to n, only one bit exists. 💡 Tip 5: Bitwise = Senior-Level Thinking Using bit manipulation shows: ✔️ You understand how data is stored ✔️ You can optimize beyond brute force 🔥 Real Insight This problem is not about checking powers… It’s about recognizing: 👉 Patterns in binary representation Once you see that, the solution becomes obvious. Consistency builds mastery 🔑 #DSA #LeetCode #Java #BitManipulation #CodingJourney #ProblemSolving #InterviewPrep #Day10 #BitManipulation #InterviewPrep #CleanCode #Array #Optimization #MCA #lnct #100DaysOfCode #SoftwareEngineering #Algorithms #InPlaceAlgorithms #TechLearning #JavaDeveloper

🚀 DSA Journey — LeetCode Practice 📌 Problem: Binary Tree Postorder Traversal (LeetCode 145) 💻 Language: Java 🔹 Approach: To solve this problem, I used Depth-First Search (DFS) with Recursion to perform postorder traversal of the binary tree. • Recursively traverse the left subtree • Recursively traverse the right subtree • Visit the root node and store its value • Follow Postorder pattern: Left → Right → Root This approach works efficiently because recursion naturally follows the postorder traversal structure. ⏱ Time Complexity: O(n) 🧩 Space Complexity: O(n) (including recursion stack) 📖 Key Learning: This problem strengthened my understanding of DFS, recursion, and tree traversal patterns. It also reinforced the postorder pattern (Left → Right → Root), which is a fundamental concept used in many tree-based problems 💡 #DSA #Java #LeetCode #ProblemSolving #CodingJourney #LearningInPublic #BinaryTree #DFS #Recursion #TreeTraversal