There are n people in a room, where n is an integer greater than or equal to 2. Each person shakes hands once with every other person. What is the total number of handshakes in the room? Write a recursive method to solve this problem with the following header:

public static int handshake(int n)
where handshake(n) returns the total number of handshakes for n people in the room. To get you started, if there are only one or two people in the room, then:
handshake(1) = 0
handshake(2) = 1

This is a short and relatively straightforward recursive problem.

See the code in Handshake.java.