Fantabulous Pairs

First off, some definitions. An array of length at least 2 having distinct integers is said to be fantabulous iff the second highest element lies strictly to the left of the highest value. For example, [1, 2, 13, 10, 15] is fantabulous as the second-highest value 13 lies to the left of highest value 15. For every fantabulous array, we define a fantabulous pair (a, b) where a denotes the index of t