How to Solve Separate Squares I Problem
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Separate Squares I
You are given a 2D integer array squares. Each squares[i] = [xi, yi, li] represents the coordinates of the bottom-left point and the side length of a square parallel to the x-axis. Find the minimum y-...
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Understanding the Separate Squares I Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a 2D integer array squares. Each squares[i] = [xi, yi, li] represents the coordinates of the bottom-left point and the side length of a square parallel to the x-axis. Find the minimum y-coordinate value of a horizontal line such that the total area of the squares above the line equals the total area of the squares below the line. Answers within 10-5 of the actual answer will be accepted. Note: Squares may overlap. Overlapping areas should be counted multiple times.
Separate Squares I
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Examples
squares = [[0,0,1],[2,2,1]]1.00000Any horizontal line between y = 1 and y = 2 will have 1 square unit above it and 1 square unit below it. The lowest option is 1.
squares = [[0,0,2],[1,1,1]]1.16667The areas are: Below the line: 7/6 * 2 (Red) + 1/6 (Blue) = 15/6 = 2.5. Above the line: 5/6 * 2 (Red) + 5/6 (Blue) = 15/6 = 2.5. Since the areas above and below the line are equal, the output is 7/6 = 1.16667.
Constraints
1 <= squares.length <= 5 * 104squares[i] = [xi, yi, li]squares[i].length == 30 <= xi, yi <= 1091 <= li <= 109The total area of all the squares will not exceed 1012.How Interview Coder Helps with Leetcode Problems
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