#100DaysOfLeetcode journey 🚀 Day 48/100 — Reversing LCP Matrices! Today’s Problem: 2573. Find the String with LCP (Hard) 🔹 The Goal: Given an $n \times n$ matrix representing the Longest Common Prefix (LCP) for every possible pair of suffixes, reconstruct the lexicographically smallest string that generates this exact matrix. 🔹 The Insight: This problem is a beautiful mix of Greedy Construction and Dynamic Programming. The "lexicographically smallest" constraint tells us exactly how to group indices. If lcp[i][j] > 0, indices $i$ and $j$ must share the same character. By processing indices from left to right and assigning the smallest available letter ('a' through 'z'), we build our candidate string. 🔹 The Logic: Grouping: We use the matrix to cluster indices that are forced to be identical. Transitivity Check: The matrix might be a "trap"—it could define relationships that are logically impossible. Verification: The only way to be sure is a full $O(n^2)$ verification. We use the DP relation LCP[i][j] = (s[i] == s[j]) ? LCP[i+1][j+1] + 1 : 0 to regenerate the matrix from our candidate string and compare it to the input. ✨ Achievement: Day 48! Tackled a Hard-level string reconstruction problem. It’s a fantastic exercise in understanding the internal properties of LCP arrays and how to use greedy logic to satisfy lexicographical requirements. 🔍 Steps followed: ✔ Greedy Character Assignment: Clustered indices based on positive LCP values. ✔ Alphabetical Minimization: Prioritized 'a' for the earliest possible unassigned groups. ✔ $O(n^2)$ Consistency Validation: Verified every single cell in the matrix using DP to ensure the matrix was valid. 🔧 Complexity Analysis: Time Complexity: $O(n^2)$ Space Complexity: $O(n)$ 48 days down! The intersection of string algorithms and mathematical consistency is where the most rewarding challenges live. 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #StringAlgorithms #DP #LCP #Day48
Reversing LCP Matrices with Java and Dynamic Programming
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🚀 Day 10 of #100DaysOfDSA – Solved LeetCode 344: Reverse String Today’s problem was simple yet powerful — Reverse a String (in-place) 💡 🔹 Problem: Given a character array, reverse it without using extra space. 🔹 Approach: Used the Two Pointer Technique: 👉 Start one pointer from the beginning 👉 Another from the end 👉 Swap characters and move inward 🔹 Key Learning: In-place operations improve space efficiency Two-pointer approach is a must-know pattern for interviews 🔹 Time Complexity: O(n) 🔹 Space Complexity: O(1) 💻 Code Insight: Swapping elements until both pointers meet does the job efficiently! ✨ Small problems like this build strong fundamentals for bigger challenges. #DSA #Java #Coding #LeetCode #Programming #SoftwareEngineering #InterviewPrep #100DaysOfCode
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#100DaysOfLeetcode journey 🚀 Day 66/100 — Thinking in Circles! Today’s Problem: 2515. Shortest Distance to Target String in a Circular Array 🔹 The Goal: Find the shortest path between a starting index and a target string in an array that "wraps around" at the ends. You can move either clockwise or counter-clockwise. 🔹 The Insight: This is a beautiful exercise in Radial Geometry applied to a 1D structure. When you connect the ends of an array, the distance between any two points $i$ and $j$ isn't just $|i - j|$. There's a hidden path that goes through the "boundary" of the array. The shortest path is always the minimum of the direct linear distance and the "complement" distance ($N - \text{Linear Distance}$). 🔹 The Logic: Single Pass Scan: Instead of complex BFS, we just need to identify where the target lives. Dual-Distance Logic: For every match found, we evaluate the two possible routes: The "Standard" route (staying within the array bounds). The "Circular" route (jumping from index 0 to $N-1$ or vice versa). Constant Space: The entire check happens in $O(N)$ time with $O(1)$ memory. ✨ Achievement: Day 66! Moving from complex bitwise validation and string parsing into circular array logic. It’s a great reminder that understanding the topology of your data structure (whether it's a line, a circle, or a grid) is the first step toward optimization. 🔍 Steps followed: ✔ Linear Traversal: Evaluated every potential target location. ✔ Modular Arithmetic: Simplified circular transitions using absolute differences. ✔ Optimal Minimum: Tracked the global minimum across all valid occurrences. 🔧 Complexity Analysis: Time Complexity: $O(n)$ Space Complexity: $O(1)$ 66 days down! The finish line is coming into focus. Let’s keep the momentum! 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #ArrayAlgorithms #CircularArrays #Optimization #Day66
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#100DaysOfLeetcode journey 🚀 Day 66/100 — Optimizing Circular Proximity! Today’s Problem: Minimum Circular Distance to Matching Elements 🔹 The Goal: Given an array that "wraps around," find the shortest path from a specific index to any other occurrence of the same value. 🔹 The Insight: A naive search for every query would be $O(Q \times N)$, which is catastrophic for large datasets. The breakthrough here is Spatial Indexing. By pre-grouping the indices of every value and keeping them sorted, we transform a global search into a localized neighbor check. 🔹 The Logic: Value-to-Index Mapping: I used a HashMap to store sorted lists of indices for each unique number. Logarithmic Search: Using binarySearch, I instantly located the query index within its value-group. The "Circular Sandwich": Because the indices are sorted, the closest matching elements are always the immediate neighbors in the list. By checking the left, the right, and the wrap-around (first/last) elements, we guarantee the global minimum in $O(\log N)$ time. ✨ Achievement: Day 66! Successfully applied pre-computation and binary search to optimize a spatial query problem. Understanding that the "closest" element in a circular topology is always an adjacent neighbor in the sorted index space is a powerful shortcut for range-based problems. 🔍 Steps followed: ✔ Map Pre-processing: Clustered indices for constant-time value lookups. ✔ Binary Search Integration: Optimized neighbor identification to logarithmic time. ✔ Modular Distance Logic: Correctly handled the $N - \text{linearDist}$ calculation for circular boundaries. 🔧 Complexity Analysis: Time Complexity: $O(N + Q \log N)$ Space Complexity: $O(N)$ 67 days down! The logic is getting faster, and the problems are getting more interesting. Let's keep the streak alive! 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #ArrayAlgorithms #BinarySearch #Optimization #Day66
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🚀 Day 61 of my DSA Journey Today’s problem: Reverse Linked List 🔁 This is one of those classic problems that really tests your understanding of pointers and how data structures work internally. 💡 What I learned: How to reverse links instead of values Importance of using prev, curr, and next pointers How in-place algorithms help optimize space ⚡ Approach in short: Traverse the list once, and keep reversing the direction of each node step by step. 📊 Complexity: Time: O(n) Space: O(1) 🧠 Takeaway: DSA is not about memorizing solutions, it’s about understanding patterns. Every problem adds a new piece to the puzzle. Consistency > Motivation 💯 #DSAJourney #100DaysOfCode #Java #LeetCode #Coding #ProblemSolving #LinkedList #KeepLearning
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#100DaysOfLeetcode journey 🚀 🚀 Day 68/100 — Numerical Symmetry & Mirror Distances! Today’s Problem: Mirror Distance of an Integer 🔹 The Goal: Define the "Mirror Distance" of a number $n$ as the absolute difference between the number and its digit-reversal. For example, if $n = 123$, the mirror is $321$, and the distance is $|123 - 321| = 198$. 🔹 The Insight: This is a fundamental exercise in Digit Manipulation. Reversing a number isn't just a string operation; it’s an arithmetic process. By using the modulo operator (% 10) to extract the last digit and integer division (/ 10) to shift the decimal place, we can reconstruct the mirror image in a single pass. 🔹 The Logic: Arithmetic Reversal: I used a while-loop to peel off digits and build the reversed integer. This naturally handles the "omit leading zeros" rule (e.g., reversing $120$ results in $21$ because $0 \times 10 + 2 \times 1 + 1$ arithmetic logic). Absolute Variance: The final result is simply the absolute magnitude of the gap between the two values. Negative Handling: I ensured the logic remains robust for negative integers by reversing the absolute value and reapplying the sign. ✨ Achievement: Day 68! We are well into the second half of the challenge. Today’s solution highlights how core arithmetic can replace heavy string parsing for better performance and lower memory overhead. 🔍 Steps followed: ✔ Digit Extraction: Peeling digits using remainder operations. ✔ Numerical Reconstruction: Building the reversed value through decimal shifting. ✔ Error Guarding: Managed potential sign issues to ensure a valid absolute distance. 🔧 The Stats: Time Complexity: $O(\log_{10} n)$ Space Complexity: $O(1)$ 68 days down! The journey into algorithmic mastery continues. Let's keep the momentum! 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #MathAlgorithms #Logic #Optimization #Day68
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🎯 Prefix Sum felt trivial at first, until I realized how much time I was wasting without it. I used to compute subarray sums again and again inside loops. That’s when it clicked: Why recompute something I’ve already seen? Prefix sum is just storing cumulative work: prefix[i] = sum of everything before i Now any range sum becomes: prefix[r] - prefix[l-1] What changed for me wasn’t the formula, it was the mindset: Turn repeated computation into a constant-time lookup. This idea shows up everywhere: subarray problems range queries even in disguised forms like “running totals” It’s one of those simple tools that quietly turns O(n²) into O(n). Easy to learn, but surprisingly powerful when you start spotting where to use it. #SoftwareDevelopment #SoftwareEngineering #TechCommunity #CodingLife #Developers #Programming #TechCareers #CleanCode #AgileDevelopment #DevCommunity #TalentAcquisition #TechHiring #HiringDevelopers #BackendDevelopment #Java #JavaDeveloper #JavaProgramming #JavaCommunity #JavaTech #SpringBoot #Microservices #BackendEngineering #JVM
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🚀 Code 6 – #50LeetCodeChallenge 🧩 Problem: Search Insert Position Given a sorted array of distinct integers and a target value, return its index if found. If not, return the position where it should be inserted to maintain sorted order. 💡 Approach: Use Binary Search to efficiently locate the target or its correct insertion position in O(log n) time. 📚 Key Takeaway: Binary search is the go-to technique for problems involving sorted arrays, especially when optimal time complexity is required. #LeetCode #Java #Coding #ProblemSolving #BinarySearch #Arrays #Programming
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Day 13/90 DSA Journey Today I worked on an interesting problem where each bulb toggles between ON and OFF based on its occurrences in the input list. ->Key Idea: If a number appears odd number of times → bulb remains ON If it appears even number of times → bulb turns OFF -> Approach: Used a List-based toggle logic Add element if not present Remove element if already present Finally, sort the result -> Time Complexity: O(n²) using List (due to contains & remove) -> Optimized Insight: This problem can be solved more efficiently using a HashSet in O(n) time. -> Takeaway: Understanding frequency and toggling patterns is very useful in solving real-world and DSA problems. #LeetCode #DSA #Java #Coding #ProblemSolving #Learning #TechJourney
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🎉 Day 8 of My 100-Day Programming Challenge! 🚀 Today, I solved the “Sqrt(x)” problem on LeetCode. The task is to compute the square root of a non-negative integer and return the result rounded down to the nearest integer, without using built-in functions like pow() or sqrt(). 🧩 🔍 Approach: I used the Binary Search technique to efficiently find the square root. ⚙️ Steps: • Define the search space from 1 to x. • Calculate the middle value (mid). • Check if mid * mid is equal to x. • If less than x, move right and store the potential answer. • If greater than x, move left. • Continue until the search space is exhausted. 💡 Key Insights: ✔ Binary Search reduces time complexity significantly. ✔ Avoids overflow using mid <= x / mid instead of mid * mid. ✔ Efficient way to compute roots without built-in functions. 🧠 Complexity: • Time Complexity: O(log n) • Space Complexity: O(1) Another great problem to strengthen Binary Search fundamentals and mathematical problem-solving skills. On to the next challenge! 💻🔥 #100DaysOfCode #Java #LeetCode #DSA #BinarySearch #Programming #CodingChallenge
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