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BGonline.org Forums
The Great Prime-versus-Prime Problem - Solved
Posted By: benf In Response To: The Great Prime-versus-Prime Problem (Nack Ballard)
Date: Sunday, 15 June 2014, at 4:41 p.m.
I started by thinking back to the solutions that you have given in the past. With only 4 rolls per side, how many pips doe an average roll have to have? Once I saw that it was 14.75 and 16 I took an educated guess at four things; there are no hits in the sequence, each side is going to roll all doubles (other than the opening), the opening roll is going to be won by the player who went less pips, and the opening roll needs to block 66 (be 61). Along with realizing that the opening roll would need to block 66, I figured it was likely that every roll was blocked for the checkers on the 24 points. From there I attacked white first, as the nice distribution didn't immediately make sense. My first guess was right, 66, 22, 55 to make the board, then I looked at double 4's, saw that I could only play 12 pips and 33 was of course the answer. From there I got to see what doubles were blocked for the other player on each roll, and that made it easier to find the other side of the solution. The sequence is below. I don't know that nacktation, but even if I was recording this by hand with nacktation I would have been convinced that each play was correct and wouldn't bother writing more then the roll.
61-66-55-22-44-55-44-33
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