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PUZZLE: Outer Prime (11pt to 6pt)

Posted By: Nack Ballard
Date: Monday, 14 March 2016, at 6:33 p.m.

 White is Player 2 score: 0 pip: 0 Unlimited GameJacoby pip: 120 score: 0 Blue is Player 1
XGID=------EBBBBB--------------:0:0:1:00:0:0:1:0:10

Blue's objective

The object of this puzzle is to reach the above formation for Blue: Exactly five checkers on the 6pt, and two checkers on each of the five higher points.

Scroll below the next diagram for details.

 White is Player 2 score: 0 pip: 0 Unlimited GameJacoby pip: 167 score: 0 Blue is Player 1
XGID=------E-C----E----------B-:0:0:1:00:0:0:1:0:10
Blue's starting position, without opposition

Problem 1: ..From his starting position (diagrammed above), how can Blue reach the (previously shown) outer prime formation in four rolls? Try it!
......................(Consider this the main problem to solve, but if you want a tougher challenge, read on.)

 White is Player 2 score: 0 pip: 167 Unlimited GameJacoby pip: 167 score: 0 Blue is Player 1
XGID=-b----E-C---eE---c-e----B-:0:0:-1:00:0:0:1:0:10
Starting position of backgammon

Problem 2: ..Same as problem 1, except Blue's first roll must be a non-doublet, and he cannot move any roll portion to his 19pt, 17pt or 12pt (i.e., the points White occupies -- she does not move).

Problem 3: ..Blue has to reach the same formation, but it's interactive: WHITE starts, and each side plays FOUR moves perfectly (according to XGR++ evaluation, money game).

Problem 4: ..In addition: It is never proper to turn the cube, yet in the final position one side leads the other by more than 45 pips.

What is a workable sequence?

Nack

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