Monotonic Stack Solves LeetCode Daily Temperatures Problem in C++

🚀 Day 116 of My DSA Problem Solving Journey - The Grind Continues! 🎉 After mastering queue implementations yesterday, today I leveled up by diving into the world of Monotonic Stacks! I tackled a classic LeetCode Medium problem: "Daily Temperatures" in C++. The Problem: Given an array representing daily temperatures, we need to figure out exactly how many days we have to wait after each day to get a warmer temperature. If there's no warmer day in the future, we just return 0. My Approach: At first glance, you might think of using a nested loop to check every future day, but that would give us a slow O(N²) time complexity. How do we do this efficiently in a single pass? The answer: A Monotonic Decreasing Stack! 🧠 The Logic: Storing Indices: Instead of storing the actual temperatures in the stack, I stored their indices. This is the golden trick because we need the index to calculate the number of days we waited! Iterating & Comparing: As I iterate through the array, I constantly check if the current day's temperature is greater than the temperature of the day sitting at the top of the stack. Pop & Calculate: If it is warmer, bingo! We found a warmer day for that past element. I pop that previous day's index from the stack, calculate the difference in days (current_index - previous_index), and store that difference in my answer array. I keep popping as long as the current day is warmer than the stack's top. Push: Once all cooler past days are resolved, I push the current day's index onto the stack so it can wait for its own future warmer day. Takeaway: This problem is a textbook lesson in optimizing time complexity. Even though there's a while loop inside a for loop, every index is pushed onto the stack exactly once and popped at most once. This brings our overall Time Complexity down to a beautiful O(N)! A brilliant way to keep track of elements that are "waiting" for a specific condition. ⚡ Keep pushing! 💻🔥 #Day116 #CPP #Stack #MonotonicStack #LeetCode #DataStructures #Algorithms #DSA #ProblemSolving #CodingJourney #ContinuousLearning #REGexSoftwareServices REGex Software Services LeetCode

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