
EXAMPLE

{ 35780, 4693243, 11888132, 70993724 } is the smallest set of 4 numbers such that all 6 combinations of sum of any two numbers is a perfect cube. For example, 35780 + 70993724 = 414^3 and 4693243 + 11888132 = 255^3.
{ 13, 13, 14 } is the smallest set of 3 numbers where all 3 combinations of sum of any two numbers is a perfect cube.
{ 1, 1 } is the trivial set of two numbers because 1 + 1 = 0^3.
