Rectangle Intersection

public class RectangleIntersection {
    public static class Rectangle{
        int x, y, width, height;

        public Rectangle(int x, int y, int width, int height) {
            this.x = x;
            this.y = y;
            this.width = width;
            this.height = height;
        }
    }

    public Rectangle intersect(Rectangle R1, Rectangle R2){
        if(!isIntersect(R1,R2))
            return new Rectangle(0,0,-1,-1);
        return new Rectangle(
                Math.max(R1.x,R1.x), Math.max(R1.y,R2.y),
                Math.min(R1.x + R1.width, R2.x + R2.width) - Math.max(R1.x,R2.x),
                Math.min(R1.y + R1.height, R2.y + R2.height) - Math.max(R1.y,R2.y)
        );
    }

    public boolean isIntersect(Rectangle R1, Rectangle R2){
        return R1.x <= R2.x + R2.width && R1.x + R1.width >= R2.x
                && R1.y <= R2.y + R2.height && R1.y + R1.height >= R2.y;
    }
}