Digits 1, 2, 3

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Digits 1, 2, 3

Postby m_b_metcalf » Wed Sep 14, 2016 5:57 am

Code: Select all
 1 . . . . 2 . . 3
 . . 4 . . . . 5 .
 . 5 . . 6 . 7 . .
 . . . . . 8 6 . .
 2 . . . 7 . . . 1
 . . 9 4 . . . . .
 . . 5 . 9 . . 7 .
 . 6 . . . . 5 . .
 3 . . 1 . . . . 2   


From the current Patterns Game. Note how the digits 1, 2 and 3 are confined to the four edges.
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Re: Digits 1, 2, 3

Postby Leren » Wed Sep 14, 2016 7:13 am

By suitably morphing the puzzle you can confine any 3 digits to 2 rows and 2 columns in separate tiers and stacks.

There is a curious "symmetry" about the solution. At the start, after a pointing pair, there are 5 consecutive locked quads, in Column 9 and Boxes 1, 3, 7 and 9 :? .

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Re: Digits 1, 2, 3

Postby pjb » Thu Sep 15, 2016 12:57 am

Code: Select all
 1       789    a678    | 5789   458    2      | 489   b4689   3     
 6789    23      4      | 3789   138    1379   | 12     5     c689   
 89      5       23     | 389    6      1349   | 7      12     489   
------------------------+----------------------+---------------------
 457     1347    137    | 239    123    8      | 6      2349   57     
 2       348     38-6   |f3569   7      3569   | 3489   3489   1     
 5678    1378    9      | 4      123    136    | 238    238    57     
------------------------+----------------------+---------------------
 48      12      5      |e2368   9      346    | 13     7     d468   
 4789    6       12     | 2378   2348   347    | 5      13     489   
 3       4789    78     | 1      458    4567   | 489    4689   2     

(6)r1c3 = r1c8 - r2c9 = r7c9 - r7c4 = r5c4 => -6 r5c3; stte
interestingly also has a SK loop
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