(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger)

Written: Nov. 15, 2005.

My favorite game is Backgammon. I wish I could combine business and pleasure, but after all "it is only a game", or is it?

• Bearoff, that finds the best move and the probability of winning when both players are at the bearoff stage of Backgammon (for one or two dice, one or two players and the die can be r-faced for any r)
• BearoffOneDie, the subpackage that only deals with the one die case.
• Sulam, generalized Bearoff solitaire where you can start taking out before getting all your pieces home.

• if you run the input file inSipur, you would get the output file oSipur, that lists all the exceptions to greedy play (removing a checker if you can) with one die Bearoff solitaire, in the ordinary (fair 6-faced die) with positions up to 15 checkers.
• if you run the input file inSipur2, you would get the output file oSipur2, that lists all the exceptions to greedy play (removing a checker if you can) with two dice Bearoff solitaire. in the ordinary (two 6-faced fair dice, with the usual convention that a double is a quadruple) with positions up to 15 checkers.

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