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Ideal Racing Positions - Tables Available

Posted By: Taper_Mike
Date: Thursday, 23 June 2011, at 5:32 p.m.

In Response To: Ideal Racing Positions - Tables Available (Tom Keith)


Tom: "There must be some ties..."

Yes, indeed there are. But they only occur in trivial positions where all the checkers are croweded onto the lowest points.

Here is a complete list of all the ties: 

 

Run against a one-sided bearoff table good out to the 11 point. 

 

 

 ties  nc   pc  checker string   rolls remaining 

 ----  --  ---  ---------------  --------------- 

    2   0    2  AAAAAAAAAAAAAAC               1 

    2   0    2  AAAAAAAAAAAAABB               1 

    2   0    3  AAAAAAAAAAAAAAD               1 

    2   0    3  AAAAAAAAAAAAABC               1 

    2   0    4  AAAAAAAAAAAAAAE         1.05556 

    2   0    4  AAAAAAAAAAAAABD         1.05556 

    2   2    6  AAAAAAAAAAAAABF         1.36111 

    2   2    6  AAAAAAAAAAAAACE         1.36111 

    2   3    5  AAAAAAAAAAAABBD         1.86111 

    2   3    5  AAAAAAAAAAAABCC         1.86111 

    3   3    6  AAAAAAAAAAAABBE         1.86111 

    3   3    6  AAAAAAAAAAAABCD         1.86111 

    3   3    6  AAAAAAAAAAAACCC         1.86111 

    2   3    7  AAAAAAAAAAAABCE          1.8642 

    2   3    7  AAAAAAAAAAAACCD          1.8642 

    2   5    7  AAAAAAAAAABBBBD         2.69444 

    2   5    7  AAAAAAAAAABBBCC         2.69444 

    2   5    8  AAAAAAAAAABBBBE         2.69753 

    2   5    8  AAAAAAAAAABBBCD         2.69753 

    2   7    9  AAAAAAAABBBBBBD          3.5517 

    2   7    9  AAAAAAAABBBBBCC          3.5517 

    3   7   10  AAAAAAAABBBBBBE          3.5517 

    3   7   10  AAAAAAAABBBBBCD          3.5517 

    3   7   10  AAAAAAAABBBBCCC          3.5517 

    2   7   11  AAAAAAAABBBBBCE         3.55195 

    2   7   11  AAAAAAAABBBBCCD         3.55195 

    2   9   11  AAAAAABBBBBBBBD         4.40818 

    2   9   11  AAAAAABBBBBBBCC         4.40818 

    2   9   12  AAAAAABBBBBBBBE         4.40831 

    2   9   12  AAAAAABBBBBBBCD         4.40831 

    2  11   13  AAAABBBBBBBBBBD         5.26532 

    2  11   13  AAAABBBBBBBBBCC         5.26532 

    3  11   14  AAAABBBBBBBBBBE         5.26532 

    3  11   14  AAAABBBBBBBBBCD         5.26532 

    3  11   14  AAAABBBBBBBBCCC         5.26532 

    2  11   15  AAAABBBBBBBBBCE         5.26534 

    2  11   15  AAAABBBBBBBBCCD         5.26534 

    2  13   15  AABBBBBBBBBBBBD         6.12245 

    2  13   15  AABBBBBBBBBBBCC         6.12245 

    2  13   16  AABBBBBBBBBBBBE         6.12245 

    2  13   16  AABBBBBBBBBBBCD         6.12245 

    2  15   17  BBBBBBBBBBBBBBD         6.97959 

    2  15   17  BBBBBBBBBBBBBCC         6.97959 

    3  15   18  BBBBBBBBBBBBBBE         6.97959 

    3  15   18  BBBBBBBBBBBBBCD         6.97959 

    3  15   18  BBBBBBBBBBBBCCC         6.97959 

    2  15   19  BBBBBBBBBBBBBCE         6.97959 

    2  15   19  BBBBBBBBBBBBCCD         6.97959



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