AIC Coloring 03/04/07 Nightmare

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Myth Jellies
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AIC Coloring 03/04/07 Nightmare

Post by Myth Jellies »

Daily Nightmare for 3/4/07 - this one was fun.

Code: Select all

 *-----------*
 |69.|4..|...|
 |1..|..5|...|
 |..2|..6|8..|
 |---+---+---|
 |7..|3..|49.|
 |...|.8.|...|
 |.35|..4|..7|
 |---+---+---|
 |..4|7..|6..|
 |...|6..|..2|
 |...|..9|.41|
 *-----------*
Through simple single-digit coloring takes you to

Code: Select all

 *--------------------------------------------------------------------*
 | 6      9      378    | 4      1237   1238   | 12357  12357  35     |
 | 1      478    378    | 289    2379   5      | 2379   2367   3469   |
 | 345    457    2      | 19     1379   6      | 8      137    349    |
 |----------------------+----------------------+----------------------|
 | 7      1268   168    | 3      1256   12     | 4      9      568    |
 | 249    1246   169    | 1259   8      7      | 1235   12356  356    |
 | 289    3      5      | 129    1269   4      | 12     1268   7      |
 |----------------------+----------------------+----------------------|
 | 2359   1258   4      | 7      1235   1238   | 6      358    3589   |
 | 3589   1578   13789  | 6      4      138    | 3579   3578   2      |
 | 2358   25678  367    | 258    235    9      | 357    4      1      |
 *--------------------------------------------------------------------*
If we color the 5s, 6s, and 8s we have...

Code: Select all

 *--------------------------------------------------------------------*
 | 6      9      378f   | 4      1237   1238F  | 12357  12357  35     |
 | 1      478    378    | 28f9   2379   5      | 2379   236c7  346C9  |
 | 345a   45A7   2      | 19     1379   6      | 8      137    349    |
 |----------------------+----------------------+----------------------|
 | 7      1268   168    | 3      125b6d 12     | 4      9      5B68g  |
 | 249    1246   169    | 125B9  8      7      | 1235   12356  356    |
 | 28g9   3      5      | 129    126D9  4      | 12     126d8G 7      |
 |----------------------+----------------------+----------------------|
 | 2359   1258   4      | 7      1235   1238   | 6      358    358G9  |
 | 3589   1578   13789  | 6      4      138    | 3579   3578   2      |
 | 2358   256e78 36E7   | 25b8F  235    9      | 357    4      1      |
 *--------------------------------------------------------------------*
Note that we have
D = d - G = g - B = b - d = D
Thus 6D must be true. This takes us to the following. Again we color 5s, 6s, and 8s.

Code: Select all

 *--------------------------------------------------------------------*
 | 6      9      378f&#40;e&#41;| 4      237    238F   | 12357  12357  35     |
 | 1      478E   378&#40;e&#41; | 28f    2379   5      | 2379   236h7  346H9  |
 | 345a   45A7   2      | 1      379    6      | 8      37     349    |
 |----------------------+----------------------+----------------------|
 | 7      268    6e8E   | 3      125b   12     | 4      9      5B68g  |
 | 249    1246   19     | 25B9   8      7      | 235    2356H  356    |
 | 28g9   3      5      | 29     6      4      | 12     128G   7      |
 |----------------------+----------------------+----------------------|
 | 2359   1258   4      | 7      1235   1238   | 6      358    358G9  |
 | 3589   1578   19     | 6      4      138    | 3579   3578   2      |
 | 2358   256e78 36E7   | 25b8F  235    9      | 357    4      1      |
 *--------------------------------------------------------------------*
Noting the grouped coloring for 8e in r12c3, we have r9c2 <> 8, which takes us to

Code: Select all

 *--------------------------------------------------------------------*
 | 6      9      378f   | 4      237    238F   | 12357  12357  35     |
 | 1      478E   378    | 28f    2379   5      | 2379   236h7  346H9  |
 | 345a   45A7   2      | 1      379    6      | 8      37     349    |
 |----------------------+----------------------+----------------------|
 | 7      268    6e8E   | 3      125b   12     | 4      9      5B68g  |
 | 249    1246   19     | 25B9   8      7      | 235    2356H  356    |
 | 28g9   3      5      | 29     6      4      | 12     128G   7      |
 |----------------------+----------------------+----------------------|
 | 2359   1258   4      | 7      1235   1238   | 6      358    358G9  |
 | 3589   1578   19     | 6      4      138    | 3579   3578   2      |
 | 2358f  256e7  36E7   | 25b8F  235    9      | 357    4      1      |
 *--------------------------------------------------------------------*
G = g - f = F - b = B - g = G
And thus the 8G's are true and the puzzle collapses in a slow-motion demolition.
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