Question 29
Starting with a list of three numbers, the “changesum” procedure creates a new list by replacing each number by the sum of the other two. For example, from {3, 4, 6} “changesum” gives {10, 9, 7} and a new “changesum” leads to {16, 17, 19}. If we begin with the list {20, 1, 3}, what is the maximum difference between two numbers of the list after 2013 consecutive “changesums”?