thoh13 wrote:markr wrote:
Then you're sure to win. :wink:
67 + 16 = 83
ok i think i found my mistake....i thought 92 was a never-win situation but now i see that both ppl can win ...well this was very confusing lol
83 + 9 = 92
92 is a never-win situation.
The end game is as follows:
92, 93, 94, 98, 99, 100
or
92, 93, 97, 98, 99, 100
To figure games like this out, start at the end.
100 is a winning position - mark it with a W.
Subtract all possible moves (in this case squares) from 100. They are losing positions - mark them with an L.
Go to the next unmarked position. It must be a winning position - mark it with a W.
Subtract all possible moves from this number. They are losing positions - mark them with an L.
Repeat these last two steps until done.
Once a player has achieved a winning position, he is guaranteed to be able to maintain a winning position throughout the game.
The winning positions for this game are:
100, 98, 95, 93, 90, 88, 85, 83, 80, 78, 66, 61, 56, 48, 43, 38, 35, 33, 28, 15, and 5.
So, the answer to the first question I posed is that the first player will lose if constrained to picking a square on the first move.
(referring to dog in wood) Someone else can have at it."
