Maximize Value of Function in a Ball Passing Game

Description

You are given an integer array receiver of length n and an integer k. n players are playing a ball-passing game.

You choose the starting player, i. The game proceeds as follows: player i passes the ball to player receiver[i], who then passes it to receiver[receiver[i]], and so on, for k passes in total. The game's score is the sum of the indices of the players who touched the ball, including repetitions, i.e. i + receiver[i] + receiver[receiver[i]] + ... + receiver^(k)[i].

Return the maximum possible score.

Notes:

- receiver may contain duplicates.

- receiver[i] may be equal to i.