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Solitaire (Posted on 2012-10-02) Difficulty: 2 of 5
One card game within my solitaire suite uses two decks. Its tableau occupies 4 rows; by default the first row reads A through K. After drawing several cards the tableau might appear as:
A 2 3 4 5 6 7 8 9 10 J Q K
_ _ 6 _ _ _ _ _ _ 7 _ _ K
_ _ _ _ _ _ _ _ _ A _ _ _
_ _ _ _ _ _ _ _ _ _ _ _ _

1. With disregard to actual play, define just one rule* which would allow me to fill the tableau if the odds are in my favour.
2. Provide the content of the fourth row when the tableau is full.

*The rule may be conditional.

See The Solution Submitted by brianjn    
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Some Thoughts This rule works (spoiler?) | Comment 1 of 6
How about, letting A = 1, J = 11, Q = 12, K = 13:

For Row R and Column C, Value = 
   If R < 2 then R*C mod 13

   Otherwise, (7-R)*C mod 13

A  2  3  4  5  6  7  8  9 10  J  Q  K
2  4  6  8 10  Q  A  3  5  7  9  J  K
4  8  Q  3  7  J  2  6 10  A  5  9  K
3  6  9  Q  2  5  8  J  A  4  7 10  K

Of course, other rules work also.

And if the 2nd A had been in the 4th row instead of the 3rd, then the rule would have just been Value = R*C Mod 13, and the tableau would have been the more pleasing

A  2  3  4  5  6  7  8  9 10  J  Q  K
2  4  6  8 10  Q  A  3  5  7  9  J  K
3  6  9  Q  2  5  8  J  A  4  7 10  K
4  8  Q  3  7  J  2  6 10  A  5  9  K


 


 

  Posted by Steve Herman on 2012-10-04 01:17:20
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