Ans:If a game is played with a finite set of numbers and each move changes only one set and the game terminates, it is equivalent to NIM.
To determine who should win, write the sizes of the piles in binary. Add the columns (no carrying). If the sum of each column is even, the person to play loses. (from Mathematical Carnival)
In the reverse game the player who takes the last counter loses2 9 4 7 5 3 6 1 8
HOT FORM WOES TANK HEAR WASP TIED BRIM SHIP
| | | |X| | | |Each player has 50 muscle points to gamble. At each turn the one who gambles the most pulls the knot one square their way. The player who pulls the knot to their end wins.