Problem 2: You are given a rectangle in 2-dimensional space whose sides are parallel to the x-axis and y-axis. In other words, two sides of the rectangle are parallel to the x-axis and the other two sides of the rectangle are parallel to the y-axis. Such an axis-parallel rectangle can be uniquely described by its bottom-left (southwest) corner point and its top-right (northeast) corner point. Thus an axis-parallel rectangle can be specified by a list [ [px,py],[qx, qy]], where [px, py] are the coordinates of the bottom-left corner and [qx, qy] are the coordinates of the top-right corner. Define a function with the signature where R is a rectangle, represented as described above and L is a list of (2dimensional) points. You can assume that R is a list of length 2 and each element in R is a list of length 2 of numbers. Furthermore, if R=[[px,py], [qx, qy]], you can assume that px