Support vector machines consider the following 5 points in a 2-dimension space (x, y): (-2,0), (0,-1) (0,0), (0,1), (2,1). of these, (0,1) and (2,1) belong to class c1 and (-2,0) (0,-1), and (0,0) belong to class c2. use support vector machine to classify. provide the support vectors, the decision boundary, and the maximized margin.

Problem 3: (hand) write the member function implementations for the class hand, which simulates a hand of 2 cards, into the file hand.cpp. the relative strength of 2 hands are determined by the following rules: • a pair (two cards of the same number) is the strongest hand. • two cards of the same suit is the next strongest hand. • two cards of different numbers and suits is the weakest hand. • within the same kind of hands, the stronger hand is determined by the larger number. • if two hands are of the same kind and the larger numbers are the same, the stronger hand is given by the hand whose smaller number is larger. • if all above fails, the two hands are of equal strength. i.e., all suits are of equal strength. • 2 is the weakest number. an ace is stronger than a king. you are using a single deck of cards. so a hand of a♥a♥ is impossible. here are some examples: