Problem Specification: Let s be a ports i, the plane S-sub.-4.). Each pointsis represented by its x and y coordinates, s %. s. Apoint pa(px,pv) in S is called Maximal if there isnoother point ses)such that s, 2p,and s,2 Pe (In other words, there is no other point in S that is simultaneously locared North East ofp Write a C++ program that reads a set of points s " ofthe plain S from afle aled "plant rand reads a points pripp) from the user. Your program should determine wither the point p is a masimal or not in the plain SYour program should also calculate the average distance between p and all other points of s. P is NOT maximal. One or more point in S Located North East P located North EastP 12 Please enter px and py 8 11 Point (8,6): Please enter px and py 15 Point (15,8) 12 12 S point Distance S point 14 1 |(7,12) (4,11) 15 7(2,12) 5(9,1e (14,10) 7,12) 4,32) 12,12) 9.3e) 11 (7,7) 15.7) (2,5) 11.5) 4,4) 12.2 S,3) 4 (7,) 12 2 5,7 1(2,5) 5-66 5.83 (12,2) 2-23 vg distance 5-39 ve distance: 7.44