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Puzzle: Gin in 12 rolls (key variant): Solution

Posted By: Nack Ballard
Date: Friday, 8 June 2012, at 7:59 a.m.

In Response To: Puzzle: Gin in 12 rolls (key variant) (Nack Ballard)

Here is the puzzle as originally posed. Below is my solution.


2O ' ' ' '4X '4X ' ' '5O

2X ' ' ' '5O '3O ' ' '5X



2O ' ' ' '4X '5X ' ' '5O

1X ' ' ' '5O1X3O ' ' '4X



2O ' ' ' '4X '5X ' ' '3O

2O ' ' ' '5O '3O ' ' '4X



2O ' ' ' '4X '6X ' ' '3O

2O ' ' '1X5O '3O '1X '3X



2O ' ' ' '4X '6X ' ' ' '

2O1O ' '1X5O3O2O '1X '3X



2O ' ' ' '4X1X6X ' ' '1X

2O1O ' '1X5O3O2O '1X '1X



1O ' ' ' '4X1O6X ' ' '1X

3O3O ' '1X5O2O ' '1X '1X



3X ' ' ' '1X1O6X ' ' '1X

3O3O ' '2X5O2O ' '1X '1X



3X ' ' ' ' ' '6X ' ' ' '

3O3O ' '2X5O3O ' '1X '1O



3X ' ' ' ' ' '6X ' ' ' '

3O3O ' '4X5O3O ' '2X '1O



3X ' ' ' ' ' '6X ' ' ' '

6O3O ' '4X6O ' ' '2X ' '



3X ' ' ' ' ' '6X ' ' ' '

6O3O ' ' '6O ' ' '2X4X '


After six rolls apiece, Blue now claims gin. After he plays his sixth move, below is the final position (correctly diagrammed in Michael's last post). White, on roll, has 33 crossovers (9 rolls minimum), while Blue has 24 pips (8 rolls maximum).


3X ' ' ' ' ' '6X ' ' ' '

6O3O ' ' '2O ' ' '2X4X '


White has played 102 pips, a strong average of 17 pips per roll. Even so, after playing those six rolls, she is ginned.

Nack

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