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| XGID=-a-Ba-D-C---dD---c-d--AbA-:0:0:1:00:0:0:3:0:10 | |||||
Reach this position after FOUR rolls | |||||
I have a solution for this.
I began by trying the obvious 64P for White and 53P for Blue. Those plays are okay, but they leave, respectively, an awkward 53S and 52S.
For example, look what happens when the sequence begins 64P-53P-53S-52. Everything is good through the third roll, but now Blue has a hitting deuce that he cannot pass up in favor of 52S.
So try reversing it. Play the 52 first. 64P-52S-53 is fine through two rolls, but White should obviously make his 3pt when he rolls 53 on the third.
Next, try opening with one of the splits. Or let Blue open with 53P. See what happens.
Ask yourself this: in two turns, how many dice has each player moved? Assuming there were no hits, the answer is obvious: each player used one die to split, and another to play off his 6pt. In addition each player used two dice to move from the midpoint into his inner board.
Notice anything? That's four dice. If that's how things went, then there could not have been any hitting. Otherwise, someone would need a fifth die to use entering from the bar. Okay, how does one get a fifth die?
Those are all the hints I have for now. Good luck!
Mike