==> competition/games/nim.p <==
Place 10 piles of 10 $1 bills in a row.  A valid move is to reduce
the last i>0 piles by the same amount j>0 for some i and j; a pile
reduced to nothing is considered to have been removed.  The loser
is the player who picks up the last dollar, and they must forfeit
half of what they picked up to the winner.

1)  Who is the winner in Waldo Nim, the first or the second player?

2)  How much more money than the loser can the winner obtain with best
    play on both parties?