Given two squares on a two dimensional plane, find a line that would cut these two squares in half.

**My initial thoughts:**

The straight line that connects the two centers of the two squares will cut both of them into half.

**My initial codes:**

public class Square {
private double topLeftX;
private double topLeftY;
private double edge;
public Square(double topLeftX, double topLeftY, double edge) {
super();
this.topLeftX = topLeftX;
this.topLeftY = topLeftY;
this.edge = edge;
}
Pair<Double> getCenter() {
return new Pair<Double>(topLeftX + edge / 2, topLeftY - edge / 2);
}
}
public class Line {
private double slope;
private double intercept;
public Line(double slope, double intercept) {
super();
this.slope = slope;
this.intercept = intercept;
}
}
public static Line getLine(Square a, Square b) {
Pair<Double> centerA = a.getCenter();
Pair<Double> centerB = b.getCenter();
if (centerA.equals(centerB)) {
return new Line(centerA.getY() / centerA.getX(), 0);
} else {
double slope = (centerB.getY() - centerA.getY())
/ (centerB.getX() - centerA.getX());
double intercept = (centerB.getX() * centerA.getY() - centerA
.getX() * centerB.getY())
/ (centerB.getX() - centerA.getX());
return new Line(slope, intercept);
}
}

**Solution:**

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 == middle_t) {
return new Line(new Point(left, top), new Point(right, bottom));
} else {
return new Line(middle_s, middle_t);
}
}
}

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