Find a line to cut two squares in half ~ KodeKnight
Given two squares on a two dimensional plane, find a line that would cut these two squares in half.
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Given two squares on a two dimensional plane, find a line that would cut these two squares in half.
Solution:
Any Line passing the centers of the two squares will cut them in halves. So, we have to connect the lines between the center of the 2 squares. The straight line that connects the two centers of the two squares will cut both of them into half.public class Square { public double left; public double top; public double bottom; public double right; public Square(double left, double top, double size) { this.left = left; this.top = top; this.bottom = top + size; this.right = left + size; } public Point middle() { return new Point((this.left + this.right) / 2, (this.top + this.bottom) / 2); } public Line cut(Square other) { Point middle_s = this.middle(); Point middle_t = other.middle(); if (middle_s.equals(middle_t)) { return new Line(new Point(left, top), new Point(right, bottom)); } else { return new Line(middle_s, middle_t); } }}