Day 27 of my #30DayCodeChallenge: The Efficiency of Binary Exponentiation! The Problem: Pow(x, n). Implementing the power function to calculate x". While it sounds simple, the challenge lies in handling large exponents (up to 231 - 1) and negative powers without hitting time limits or overflow. The Logic: This problem is a classic example of Divide and Conquer optimized through Binary Exponentiation (also known as Exponentiation by Squaring): 1. Bitwise Breakdown: Instead of multiplying x by itself n times (O(n)), we decompose n into powers of 2. For example, x13 is x8. x4. x¹. This brings our complexity down to O(log n). 2. The Iterative Jump: In every iteration of the loop, we square the current base (x = x x). If the current bit of n is 1 (checked via n & 1), we multiply our result by the current base. 3. Handling the Edge Cases: * Negative Exponents: If n is negative, we calculate xI" and then take the reciprocal (1/result). Overflow: We use a long for n during calculation to avoid overflow when converting -2, 147, 483, 648 to a positive value. The Calculation: By halving the power at each step, we transform a task that could take 2 billion operations into one that takes just 31. One step closer to mastery. Onward to Day 28! #Java #Algorithms #DataStructures #BinaryExponentiation #ProblemSolving #150DaysOfCode #SoftwareEngineer
Binary Exponentiation Efficiency Challenge
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🚀 Day 563 of #750DaysOfCode 🚀 📌 Problem Solved: Shortest Distance to Target String in a Circular Array Today I explored a clean and optimized approach to solving a circular array problem 🔄 💡 Key Insight: Instead of checking all indices, we can expand from the start index in both directions simultaneously 👉 At each step i, we check: Forward → (start + i) % n Backward → (start - i + n) % n ⏱️ The moment we find the target, we return i → which is guaranteed to be the minimum distance 🧠 Why this works: We are exploring layer by layer (like BFS on array) First match = shortest path ✅ No need to scan entire array unnecessarily 🔥 What I Learned: Circular problems can often be solved using modulo arithmetic Expanding outward is more efficient than brute force Think in terms of minimum steps, not positions Consistency is the real game changer 💯 On to Day 564 🚀 #LeetCode #Java #Algorithms #DataStructures #CodingJourney #ProblemSolving #Consistency
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🚀 Solved LeetCode 2515 – Shortest Distance to Target String in a Circular Array Today I tackled an interesting problem that highlights the importance of handling circular data structures efficiently. 🔍 Problem Insight: Given a circular array of words, a target string, and a starting index, the goal is to find the minimum number of steps required to reach the target by moving either left or right. 💡 Key Learnings: Circular arrays require thinking beyond linear traversal Always consider both directions (forward & backward) Optimizing distance using min(distance, n - distance) is the key trick Simple logic + correct observation = optimal solution ⚙️ Approach Used: Traverse the array to find all occurrences of the target Calculate distance from the starting index Take the minimum considering circular movement 📈 Complexity: Efficient O(n) solution with constant space 🔥 Takeaway: This problem reinforced how small tweaks (like circular behavior) can change the entire approach. A great example of combining logic + observation for clean and optimal solutions. #LeetCode #Algorithms #ProblemSolving #CodingJourney #Java #DataStructures #CompetitiveProgramming
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Day 20 of my #30DayCodeChallenge: Efficiency through Pruning! Today's challenge was Word Search II-a complex puzzle that tests how you manage massive search spaces. The Logic: 1. Trie Integration: I stored the dictionary in a Trie to check prefixes in O(1) time. 2. DFS & Backtracking: Explored the grid cell by cell, but with a twist... 3. Intelligent Pruning: If a path doesn't match a Trie prefix, the search stops immediately. This turns an exponential problem into something much more manageable. Coding isn't just about finding the answer; it's about finding it before your timer runs out! #Java #DataStructures #Backtracking #Trie #Algorithms #CleanCode #150DaysOfCode
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🚀 Day 566 of #750DaysOfCode 🚀 🔍 Problem Solved: Mirror Distance of an Integer Today’s problem was simple but a great reminder of how powerful basic number manipulation can be. 💡 Problem Insight: We define the mirror distance of a number as: 👉 abs(n - reverse(n)) So the task is: Reverse the digits of the number Compute the absolute difference 🧠 Approach: Extract digits using % 10 Build the reversed number Compute absolute difference 📊 Complexity: Time: O(d) → where d = number of digits Space: O(1) 🔥 Key Takeaway: Even the easiest problems reinforce fundamentals like digit extraction, reversal, and absolute difference — building blocks for more complex algorithms. #Day566 #750DaysOfCode #LeetCode #Java #CodingJourney #ProblemSolving #Algorithms #BeginnerFriendly
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Day 24 of my #30DayCodeChallenge: The Art of In-Place Transformation! The Problem: Rotate Image (90 Degrees Clockwise) How do you rotate an n × n matrix without using extra space? The challenge isn't just the rotation- it's doing it in-place, maintaining O(1) extra space complexity. The Logic: Instead of trying to move every element to its final destination in one leap, this problem is best solved by breaking it down into two simple geometric transformations: 1. The Transpose: First, I flipped the matrix over its main diagonal. This turns all rows into columns (and vice versa). Mathematically, we swap matrix [i][j] with matrix [j][i]. 2. The Reflection: Once transposed, the image "sideways." To fix the orientation for a clockwise rotation, I ersed each row. This horizontal flip move columns into their correct 90-dearee positions. One step closer to mastery. Onward to Day 25! #Java #Algorithms #DataStructures #Matrix #ProblemSolving #150DaysOfCode #SoftwareEngineering #LeetCode
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🚀 Day 8/100 — #100DaysOfLeetCode Another day, another concept unlocked 💻🔥 ✅ Problem Solved: 🔹 LeetCode 73 — Set Matrix Zeroes 💡 Problem Idea: If any element in a matrix is 0, its entire row and column must be converted to 0 — and the challenge is to do this in-place without using extra space. 🧠 Algorithm & Tricks Learned: Instead of using extra arrays, we can use the first row and first column as markers. First pass → mark rows and columns that should become zero. Second pass → update the matrix based on those markers. Carefully handle the first row and first column separately to avoid losing information. ⚡ Key Insight: The matrix itself can act as storage, reducing extra memory usage. 📊 Complexity Analysis: Time Complexity: O(m × n) → traverse matrix twice Space Complexity: O(1) → solved in-place without extra data structures This problem taught me how small optimizations can significantly improve space efficiency. Learning to think beyond brute force every day 🚀 #100DaysOfLeetCode #LeetCode #DSA #MatrixProblems #Algorithms #Java #ProblemSolving #CodingJourney #LearningInPublic
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🚀 Day 567 of #750DaysOfCode 🚀 🔍 Problem Solved: Maximum Distance Between a Pair of Values Today’s challenge was about finding the maximum distance (j - i) such that: ✔️ i ≤ j ✔️ nums1[i] ≤ nums2[j] ✔️ Both arrays are non-increasing 💡 Key Insight: Since both arrays are sorted in descending order, we can avoid brute force and use a Two Pointer approach to achieve optimal performance. 🧠 Approach: Initialize two pointers i and j at 0 If nums1[i] ≤ nums2[j] → valid pair → update distance & move j Else → move i forward Maintain j ≥ i at all times 📊 Complexity: Time: O(n + m) Space: O(1) 🔥 Takeaway: Whenever arrays are sorted, always think of two pointers or binary search before jumping to brute force. This simple shift can reduce complexity from O(n²) → O(n)! #Day567 #750DaysOfCode #LeetCode #Java #DataStructures #Algorithms #TwoPointers #CodingJourney #ProblemSolving
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Day 100: Consistency, Growth, and a Milestone 💯 Problem 3740: Minimum Distance Between Three Equal Elements I Today marks 100 days of continuous problem-solving. While the number is just a marker, the real value has been the daily discipline of opening the IDE and tackling whatever challenge LeetCode throws my way. The Strategy: • Frequency Grouping: I used a HashMap to store a list of indices for every unique number in the array. This allowed me to isolate potential triplets instantly. • Sliding Window Logic: For any number appearing three or more times, I looked at a sliding window of three consecutive indices (i,i+1,i+2). • The Formula: Through testing, I identified that the minimum distance between three equal elements can be derived from the span between the first and third occurrence: (index of 3rd - index of 1st) * 2. • Optimization: By iterating through the pre-grouped index lists, I kept the solution efficient and clean. Reflecting on these 100 days, I’ve moved from basic simulations to complex optimizations like Square Root Decomposition and 3D DP. The goal isn't to stop here—it's to keep building, keep optimizing, and keep growing. 🚀 #LeetCode #Java #Algorithms #DataStructures #100DaysOfCode #Consistency #ProblemSolving #DailyCode
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💡 Day 57 of LeetCode Problem Solved! 🔧 🌟 Maximum Distance Between a Pair of Values 🌟 🔗 Solution Code: https://lnkd.in/gSP_QePE 🧠 Approach: • Two-Pointer Strategy: Maintain two indices (i for nums1 and j for nums2) to scan both non-increasing arrays in a single efficient pass. • Greedy Search: If nums1[i] <= nums2[j], calculate j - i and expand j to find the maximum possible distance. If the value in nums1 is too large, move i forward. ⚡ Key Learning: • Leveraging the non-increasing nature of arrays with two pointers eliminates the need for nested loops, reducing complexity from O(N^2) to linear O(N+M). ⏱️ Complexity: • Time: O(n + m) • Space: O(1) #LeetCode #Java #DSA #ProblemSolving #Consistency #100DaysOfCode #CodingJourney #Algorithms #TwoPointers
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🚀 Day 55 of #100DaysOfCode – Rotate Image Today I worked on an interesting matrix problem: Rotate Image (90° clockwise) 🔄 💡 Key Learning: Instead of using extra space, the challenge is to rotate the matrix in-place. 🧠 Approach I used: 1️⃣ Transpose the matrix (convert rows → columns) 2️⃣ Reverse each row This combination effectively rotates the matrix by 90° clockwise without using extra memory. 📌 Example: Input: [[1,2,3], [4,5,6], [7,8,9]] Output: [[7,4,1], [8,5,2], [9,6,3]] ⚡ Complexity: Time: O(n²) Space: O(1) (in-place) 💻 Implemented in Java and successfully passed all test cases ✅ This problem really helped me strengthen my understanding of matrix manipulation and in-place algorithms. #LeetCode #DataStructures #Java #CodingPractice #ProblemSolving #Algorithms #100DaysOfCode
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