Birthday Game

Problem Statement A game is played on an array whose ith value is denoted by arr[i]. The game is defined as follows: One move is defined as removing any two numbers from the array, 'a' and 'b', and adding to the end of array a new number c such that c = a + b + (a * b). This is continued alternately between the players until only one number remains, res. The result of the game is res + 1. We c