In a game n players long where:
1) One person participates only once
2) They randomly say Rock, Paper, or Scissors
3) They only compare with the person directly below them
4) If they draw with the next k players, and the player k places after them then wins, they win k+1 times. Otherwise, they lose.
e.g. if A says rock, B says rock, C says rock, D says scissors, E says rock, F says paper, G says rock then: A has 3 wins, B has 2 wins, C has 1 win, D loses, E loses, F has 1 win.
What is the expected maximum number of wins out of all players? What is the expected number of wins?