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Three-by-Five Problem 2, Solution

Posted By: Nack Ballard
Date: Monday, 30 June 2014, at 3:23 a.m.

In Response To: Three-by-Five Retro-problem (pair) (Nack Ballard)

		White is Player 2 score: 0 pip: 105 Unlimited Game Jacoby Beaver pip: 164 score: 0 Blue is Player 1
XGID=--B-BBB------C---eee-AA-B-:0:0:1:00:0:0:3:0:10
Problem 2: ..Reach this position in seven rolls

As deduced in the solution post to problem 1, White goes first in problem 2.

You can use many of the techniques for solving problem 2 that are discussed at the link above. In this post, I'll just provide the solutions to problem 2 without fanfare. If anyone has questions, let me know.

Here is my solution:

		White is Player 2 score: 0 pip: 156 Unlimited Game Jacoby Beaver pip: 167 score: 0 Blue is Player 1
XGID=-a----E-C---fE---c-e----B-:0:0:1:00:0:0:3:0:10
White rolled 65R and played 24/13

		White is Player 2 score: 0 pip: 156 Unlimited Game Jacoby Beaver pip: 151 score: 0 Blue is Player 1
XGID=-aA-AAD-B---fD---c-e----B-:0:0:1:00:0:0:3:0:10
Blue rolled 44 and played 13/5 8/4 6/2

		White is Player 2 score: 0 pip: 149 Unlimited Game Jacoby Beaver pip: 174 score: 0 Blue is Player 1
XGID=--a-AAD-B---eD---cae----BA:0:0:1:00:0:0:3:0:10
White rolled 61 and played 24/23* 13/7

		White is Player 2 score: 0 pip: 149 Unlimited Game Jacoby Beaver pip: 162 score: 0 Blue is Player 1
XGID=--a-ABDAA---eC---cae--A-B-:0:0:1:00:0:0:3:0:10
Blue rolled 33 and played bar/22 13/7 8/5

		White is Player 2 score: 0 pip: 129 Unlimited Game Jacoby Beaver pip: 180 score: 0 Blue is Player 1
XGID=----ABD-A---dC---eae--A-BA:0:0:1:00:0:0:3:0:10
White rolled 55 and played 24/18*/8 13/8

		White is Player 2 score: 0 pip: 129 Unlimited Game Jacoby Beaver pip: 164 score: 0 Blue is Player 1
XGID=--B-BBB-----dC---eae-AA-B-:0:0:1:00:0:0:3:0:10
Blue rolled 44 and played bar/21 8/4 6/2(2)

		White is Player 2 score: 0 pip: 105 Unlimited Game Jacoby Beaver pip: 164 score: 0 Blue is Player 1
XGID=--B-BBB------C---eee-AA-B-:0:0:1:00:0:0:3:0:10
White rolled 66 and played 13/7(4)

Stein found a different solution (a pair, in fact), which I've copied below.

................................................W: 64: 24/14
......B: 62: 13/7 6/4...................W: 66: 24/18* 13/7(3) [or 24/18* 14/8 13/7(2)]
......B: 33: b/22 13/10 8/5(2).....W: 31: 18/15*/14
......B: 44: b/21 8/4 6/2(2).........W: 66: 14/8(2) 13/7(2) [or 14/8 13/7(3)]

The Nactation sequences for the three solutions are:

......65R-44j-61Z-33G-55B-44Y-66D
......64R-62&-66z-33M-31r-44Y-66D
......64R-62&-66Z-33M-31r-44Y-66D

I'll wait a bit longer before position the solution to the third problem.

Nack