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Re-reaching the starting position

Posted By: Nack Ballard
Date: Saturday, 1 May 2010, at 3:26 a.m.

In Response To: Re-reaching the starting position (Bob Koca)


Puzzle (restated): The fewest number of rolls (total) to re-reach the starting position are stated below. Can you find a solution for (a), (b) and/or (c)?

(a) Six, if played well throughout.

(b) Five, if all but one of the rolls are played well.

(c) Four, after re-reaching the starting position (doubles now legal on first roll).

...

Did we really get so bogged down with terminology questions that no one got the problems given in this original post?

I was wondering the same thing. Thanks for the revival.

For part c, 44, 22, 11, 15 works.

Yes, well done! I'll hold off posting the plays in case someone else wants to work on part (c) having been given the four rolls.

Before trying parts a or b too hard what exactly is meant by "played well"?

It's a fair question. I was being intentionally vague, in large part because I think so many people will have difficulty just getting back to the starting position, let alone maintaining good quality of play. I would be happy seeing someone come up with a solution in which four of the five, or six of the six, plays of the sequence have no errors greater than, say, .03. Or maybe even any solution.

The majority of the plays in my (a) and (b) solutions are best. With the exception of the one bad play (necessarily) allowed in part (b), the biggest "error" is .013. That's according to Snowie eval; I have no rollouts yet (beyond the first two moves).

Good luck!

Nack

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