"Check if All Integers in a Range Are Covered Using Prefix Sum"

🚀 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

🚀 DSA Challenge – Day 96 Problem: String to Integer (atoi) 🔢➡️💻 This is a classic implementation problem that tests careful handling of edge cases, parsing logic, and boundary conditions. 🧠 Problem Summary: Implement the function myAtoi(string s) that converts a string into a 32-bit signed integer following specific parsing rules. Steps to follow: 1️⃣ Ignore leading whitespaces. 2️⃣ Check the sign (+ or -). 3️⃣ Read digits until a non-digit character is found. 4️⃣ Handle overflow/underflow by clamping the number within the 32-bit signed integer range: Range = [−2³¹, 2³¹ − 1] 5️⃣ Return the final integer. ⚙️ My Approach: Trim leading spaces using lstrip(). Identify the sign based on the first non-space character. Iterate through the string and build the number digit by digit. Multiply by the sign and ensure the result stays within integer limits using max() and min(). 📈 Complexity Analysis: Time: O(n) — traverse each character once. Space: O(1) — only a few variables used. ✨ Key Takeaway: This problem is a great example of careful boundary handling and parsing logic — it’s not just about coding, but about thinking through every possible input case. 🔖 #DSA #100DaysOfCode #LeetCode #ProblemSolving #Python #CodingChallenge #myAtoi #StringParsing #AlgorithmDesign #InterviewPrep #TechCommunity #LearningEveryday

🚀 DSA Challenge – Day 98 Problem: Count and Say 🔢🗣️ This problem is a fun example of string construction and pattern recognition, where each term of the sequence describes the previous one — a great exercise in iterative logic and encoding patterns. 🧠 Problem Summary: The Count and Say sequence is defined recursively: countAndSay(1) = "1" countAndSay(n) is the run-length encoding of countAndSay(n - 1) For example: 1 11 → one 1 21 → two 1s 1211 → one 2, one 1 111221 → one 1, one 2, two 1s ⚙️ My Approach: 1️⃣ Base cases: return "1" for n=1, "11" for n=2. 2️⃣ Start with "11" and iteratively build the next term by counting consecutive identical digits. 3️⃣ Construct each new term using run-length encoding logic. 4️⃣ Repeat this process until reaching the nth term. 📈 Complexity Analysis: Time: O(n × m) → where m is the average length of intermediate strings. Space: O(m) → for storing the temporary encoded string. ✨ Key Takeaway: This challenge reinforces how string processing and pattern generation can be elegantly solved through careful iteration — a perfect blend of logic and observation. 🔖 #DSA #100DaysOfCode #LeetCode #ProblemSolving #StringManipulation #Python #Algorithms #CodingChallenge #TechCommunity #InterviewPrep #LearningEveryday #CountAndSay

🚀 Product of Array Except Self — LeetCode #238 Today, I solved one of the most elegant problems in array manipulation — “Product of Array Except Self.” 🧩 Problem in short: Given an integer array nums, return an array answer such that answer[i] equals the product of all numbers in nums except nums[i], ✅ Without using division ✅ In O(n) time ✅ With O(1) extra space 💡 Key Insight — Prefix & Suffix Products Instead of recalculating every product, the trick is to use two passes: First pass: Store the product of all elements before each index (prefix). Second pass: Multiply each element by the product of all elements after it (suffix). This way, each position in the output represents the product of all other elements — efficiently and elegantly. ⚙️ Complexity Time: O(n) Space: O(1) (excluding the result array) 📊 Result ✅ Accepted — Runtime: 20 ms ⚡ Beats 74.21% in performance and 55.22% in memory usage Every problem like this reinforces one key principle: In interviews (and real-world problems), pattern recognition always beats rote memorization. This one beautifully highlights the Prefix–Suffix Pattern, seen in problems like Trapping Rain Water and Subarray Product. #LeetCode #DSA #CodingInterview #Python #Arrays #PrefixSuffix #ProblemSolving

🚀 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 67: Sliding Window Maximum (Deque) 🧠 I'm continuing my journey through complex array problems on Day 67 of #100DaysOfCode with "Sliding Window Maximum." The challenge is to efficiently find the maximum element within a sliding window of size k as it moves across an array. My solution uses a Monotonically Decreasing Deque (Double-Ended Queue), the optimal structure for this problem: Window Management: As the window slides to the right, I first remove elements from the left of the deque that are now out of the window's bounds (line 20). Maintaining Maximum: Before adding the new element (nums[i]), I remove elements from the right of the deque that are smaller than nums[i]. This ensures the deque always stores indices in decreasing order of their corresponding values, with the largest element always at the front. Result: The maximum element in the current window is simply the value at the index located at the front of the deque (nums[dq[0]]), which is appended to the result after the window is fully formed. This strategy processes each element exactly twice (once pushed, once popped), resulting in an optimal O(n) time complexity. #Python #DSA #Algorithms #SlidingWindow #Deque #100DaysOfCode #ProblemSolving #Arrays

🚀 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

💡 Day 36 of 100 — Count Operations to Obtain Zero (#LeetCode 2169) Today’s problem was a simple yet oddly satisfying one it felt like a math puzzle disguised as a loop. It reminded me how sometimes, even the easiest problems can hold a small “aha!” moment when you spot the pattern. 🧠 What I figured out The problem is basically a modified version of the Euclidean algorithm for finding the GCD. Instead of just returning the GCD, you count how many subtraction (or division) steps it takes until one number becomes zero. Using division instead of repeated subtraction makes the solution much more efficient. 💻 My thought process I first thought of literally subtracting the smaller number from the larger one repeatedly but that was painfully slow. Then I realized I could just count how many times it fits using integer division, and the logic becomes clean and fast. 📊 Complexity: Time — O(log(min(num1, num2))) Space — O(1) 💬 Reflection This problem reminded me that optimization isn’t always about big algorithms sometimes it’s just about seeing the pattern. It’s funny how often elegant solutions hide behind simple loops. #100DaysOfLeetCode #Day36 #LeetCodeJourney #ProblemSolving #Python #DSA

🧩 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

🚀 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