Determining the sign of the product of an array in O(n) time

🔹 Day 54: Sign of the Product of an Array (LeetCode #1822) 📌 Problem Statement: You're given an integer array nums. Consider the product of all elements in the array. Based on this product: Return 1 if it is positive Return -1 if it is negative Return 0 if it is zero Instead of actually multiplying (which can overflow), you're asked to determine only the sign of the product. --- ✅ My Approach: I avoided calculating the full product because it can grow very large. Instead, I focused on the sign only. Here’s the logic I followed: Initialize a variable to track the sign. Iterate through each number: If any number is 0, the result is immediately 0, since the product becomes zero. If the number is negative, flip the sign. After processing all numbers, return the tracked sign. This avoids overflow and keeps the solution efficient. --- 📊 Complexity: Time Complexity: O(n) Space Complexity: O(1) --- ⚡ Submission Stats: Runtime: 0 ms (Beats 100%) 🚀 Memory: 45.32 MB (Beats 6.29%) --- 💡 Reflection: A simple yet elegant problem that highlights how sometimes we don't need the full value — only the effect of the operations. Great reminder to think efficiently! #LeetCode #Java #Math #Optimized #100DaysOfCode #Day54

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