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Opening position with player on roll owning cube
Posted By: Nack Ballard
Date: Thursday, 21 October 2010, at 12:03 a.m.
Paul and Bob challenged me to create a well-played sequence of moves (for both checker play and cube action) whereby the opening position is re-reached and with the player on roll owning the cube. I found some time today and couldn't resist.
Below is a 17.5 move (or 35 roll) sequence. It is well-played, possibly perfect. Snowie and GnuBG's combined evals agree with every play except the final 52R (Snowie says -.003 and GnuBG says -.014, though I have a truncated rollout running now that suggests R might be best after all).
For convenience, the checker plays of the first player (the cube-giver) are emboldened.
21$-21$-54S-F-C-T-54P-41H-
65H-F-54H-5-32H-5-
62H-52>-F-21@-31@-41U-
55Y-63R-11@-55y-51D-31D-
43R-21H-F-53X-51>-F-
53X-51>-52L-52R-52RHere is the same sequence in traditional notation:
1) 21: 13/11 6/5 ... 21: 13/11 6/5
2) 54: 24/20* 13/8 ... 66: FanDOUBLE to 2 ... TAKE
3) 54: 20/11 ... 41: Bar/20*
4) 65: Bar/14* ... 66: Fan
5) 54: 14/5* ... 65: Bar/20*
6) 32: Bar/23 8/5* ... 65: Bar/20*
7) 62: Bar/23 11/5* ... 52: Bar/23 Bar/20*
8) 66: Fan ... 21: 23/20
9) 31: Bar/22 23/22 ... 41: 24/23 24/20
10) 55: 23/8 11/6 ... 63: 20/11
11) 11: 22/20(2) ... 55: 23/8 11/6
12) 51: 13/7 ... 31: 13/9
13) 43: 20/16*/13 ... 21: Bar/24 20/18*
14) 66: Fan ... 53: 18/13 8/5*
15) 51: Bar/24 Bar/20* ... 66: Fan
16) 53: 20/15 8/5* ... 51: Bar/24 Bar/20*
17) 52: Bar/20 15/13 ... 52: 20/13
18) 52: 20/13We're cycled back to the starting position except the player on roll owns the cube.
Sorry, Paul, that your article is going to have to be that much longer. :)
Nack
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