LeetCode Daily Challenge | Separate Squares I (3453) | Binary Search on Geometry Explained

n today’s LeetCode Daily Challenge (Day 13), we solve 3453. Separate Squares I using Binary Search on a continuous axis combined with geometry. Problem link: https://leetcode.com/problems/separate-squares-i/?envType=daily-question&envId=2026-01-13 The goal is to find a horizontal line that splits the total area of multiple squares into two equal halves. Instead of brute force, we apply a precise binary search with epsilon to converge on the answer. 🔍 What’s covered in this video: Translating the problem into an area balance condition Observing the monotonic nature of area accumulation Applying binary search on a continuous range Handling floating-point precision with epsilon Writing a clean, interview-ready C++ solution 📊 Complexity discussed: Time Complexity: O(n · log R) Space Complexity: O(1) This problem is a great example of binary search beyond arrays, a pattern frequently seen in advanced interviews. 🔔 Subscribe to The Boolean Brain for daily LeetCode solutions, interview prep, backend engineering, and system design. 📩 Connect & Contact: 📧 [email protected] 📸 Instagram: @thebooleanbrain