The New Sudoku Players' Forum

[tarek]

This one is tricky to nail down … The force appears strong with this puzzle

Code: Select all

+-------+-------+-------+
| . 7 . | . . . | . . . |
| . . . | . . 1 | 4 . 5 |
| . 9 1 | 5 . . | . . 8 |
+-------+-------+-------+
| . . . | . 5 3 | 1 . . |
| 2 1 . | . . . | . . 7 |
| . . . | . 2 6 | 9 . . |
+-------+-------+-------+
| . 8 2 | 3 . . | . . 4 |
| . . . | . . 4 | 5 . 9 |
| . 3 . | . . . | . . . |
+-------+-------+-------+
.7............14.5.915....8....531..21......7....269...823....4.....45.9.3.......


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[SpAce]

Code: Select all

.---------------.-----------------------.--------------.
|   3458  7  45 |   4689    3469    289 | 23   169  16 |
| f(3)8   2  6  | ef89    a[7]9-3   1   | 4   b79   5  |
|   34    9  1  |   5       3467    27  | 23  b67   8  |
:---------------+-----------------------+--------------:
|   6     4  9  |   7       5       3   | 1    8    2  |
|   2     1  3  |   489     49      89  | 6    5    7  |
|   7     5  8  |   1       2       6   | 9    4    3  |
:---------------+-----------------------+--------------:
|   59    8  2  |   3     de16      59  | 7   c16   4  |
|   1     6  7  |   2       8       4   | 5    3    9  |
|   459   3  45 |  d69    f(1)69-7  579 | 8    2    16 |
'---------------'-----------------------'--------------'


(7)r2c5 = (76)r23c8 - r7c8 = (69)b8p27 - (1|9)r7c5,r2c4 = (183)r9c5,r2c41 => -3 r2c5, -7 r9c5; stte

The force appears strong with this puzzle

You don't know the power of the Dark Side

Added. Slightly simpler:

Code: Select all

.-------------.----------------------.----------------.
| 3458  7  45 |  4689    3469    289 | 23    169   16 |
| 38    2  6  |  8-9    a3[7]9   1   | 4   ab7[9]  5  |
| 34    9  1  |  5       3467    27  | 23   b67    8  |
:-------------+----------------------+----------------:
| 6     4  9  |  7       5       3   | 1     8     2  |
| 2     1  3  |  489     49      89  | 6     5     7  |
| 7     5  8  |  1       2       6   | 9     4     3  |
:-------------+----------------------+----------------:
| 59    8  2  |  3      d16      59  | 7    c16    4  |
| 1     6  7  |  2       8       4   | 5     3     9  |
| 459   3  45 | d6(9)  d(1)69-7  579 | 8     2     16 |
'-------------'----------------------'----------------'

(7,9)r2c58 = (76)r23c8 - r7c8 = (6,19)b8p287 => -7 r9c5, -9 r2c4; stte

[eleven]

Code: Select all

 *-----------------------------------------------------------*
 |  3458   7  45   |  4689   3469   289   |  23   169   16   |
 |  38     2  6    |  8-9    379    1     |  4   a79    5    |
 |  34     9  1    |  5      3467   2-7   |  23  a67    8    |
 |-----------------+----------------------+------------------|
 |  6      4  9    |  7      5      3     |  1    8     2    |
 |  2      1  3    |  489    49     89    |  6    5     7    |
 |  7      5  8    |  1      2      6     |  9    4     3    |
 |-----------------+----------------------+------------------|
 |  59     8  2    |  3      16    d59    |  7   b16    4    |
 |  1      6  7    |  2      8      4     |  5    3     9    |
 |  459    3  45   | d69     1679  d579   |  8    2    c16   |
 *-----------------------------------------------------------*

(97=6)r23c8 - r7c8 = r9c9 - (6=597)b8p379 => -9r2c4, -7r3c6; stte

[SpAce]

(97=6)r23c8 - r7c8 = r9c9 - (6=597)b8p379 => -9r2c4, -7r3c6; stte

So pretty with the symmetry and without the commas. You could optionally shorten it a bit:

(976)r238c8 = (6597)b8p2379 => -9r2c4, -7r3c6; stte

Now it's absolutely perfect (for my taste)

[tarek]

Those must be lightsabers. They cut through anything like a hot knife through butter

tarek

[SteveG48]

Code: Select all

 *-----------------------------------------------------------*
 | 3458  7     45    |c4689  3469 c289   | 23   c169   6-1   |
 | 38    2     6     |b89    379   1     | 4     79    5     |
 | 34    9     1     | 5     3467 b27    | 23    67    8     |
 *-------------------+-------------------+-------------------|
 | 6     4     9     | 7     5     3     | 1     8     2     |
 | 2     1     3     |b489   49    89    | 6     5     7     |
 | 7     5     8     | 1     2     6     | 9     4     3     |
 *-------------------+-------------------+-------------------|
 | 59    8     2     | 3     16   b59    | 7     6-1   4     |
 | 1     6     7     | 2     8     4     | 5     3     9     |
 | 459   3     45    |a69    1679 b579   | 8     2    a16    |
 *-----------------------------------------------------------*


(1=69)r9c49 - (9=57248)r25c4,r379c6 - (2|4|8=691)r1c468 => -1 r1c9,r7c8 ; stte

[SteveG48]

Now it's absolutely perfect (for my taste)

What I like about both of yours and about Eleven's is that they each require elimination of two different candidates in two different cells to get the result.

[pjb]

Code: Select all

 3458    7       45     | 4689   3469  g289    | 23    h169   a16     
 38      2       6      |d89     379    1      | 4      79     5     
 34      9       1      | 5      3467   27     | 23     67     8     
------------------------+----------------------+---------------------
 6       4       9      | 7      5      3      | 1      8      2     
 2       1       3      |e489    49    f89     | 6      5      7     
 7       5       8      | 1      2      6      | 9      4      3     
------------------------+----------------------+---------------------
 59      8       2      | 3      16    d59     | 7      16     4     
 1       6       7      | 2      8      4      | 5      3      9     
 459     3       45     |c69     1679  d579    | 8      2     b16     


(6=1)r1c9 - (1=6)r9c9 - (6=9)r9c4 - (9=8)r2c4 - r5c4 = (8-9)r579c6 = r1c6 - (19=6)r1c8 => -6 r1c45, r3c8; stte

Phil

[SpAce]

Hi Phil,

(6=1)r1c9 - (1=6)r9c9 - (6=9)r9c4 - (9=8)r2c4 - r5c4 = (8-9)r579c6 = r1c6 - (19=6)r1c8 => -6 r1c45, r3c8; stte

Nice solution, but you forgot to mark the memories:

(6=1*)r1c9 - (1=6)r9c9 - (6=9^)r9c4 - (9=8)r2c4 - r5c4 = (8-9)r5^79c6 = r1c6 - (9|*1=6)r1c8 => -6 r1c45,r3c8; stte

Makes it quite a bit easier to understand and lets the reader know that it's not an AIC.

[SpAce]

What I like about both of yours and about Eleven's is that they each require elimination of two different candidates in two different cells to get the result.

Thanks, Steve! I like your solution too! What I like about eleven's solution is... absolutely nothing! I don't think it's nice at all. He ruined my brief joy with that little piece of perfection Why didn't I see it??? It was so close but I got complacent after I found the second solution.

[SteveG48]

Nice solution, but you forgot to mark the memories:

(6=1*)r1c9 - (1=6)r9c9 - (6=9^)r9c4 - (9=8)r2c4 - r5c4 = (8-9)r5^79c6 = r1c6 - (9|*1=6)r1c8 => -6 r1c45,r3c8; stte

Makes it quite a bit easier to understand and lets the reader know that it's not an AIC.

Actually, with minor modification Phil's solution doesn't need memory at all:

(6=1)r1c9 - (1=6)r9c9 - (6=9)r9c4 - (9=5728)r2c4,r279c6 - (2|8=9)r1c6 - (9=16)r1c89 => -6 r1c45,r3c8; stte

[SpAce]

Hi tarek,

Those must be lightsabers. They cut through anything like a hot knife through butter

Yes, of course. Let it be known that mine is amethyst purple. (Just because everyone thought it was crimson red, admit it!)

Btw, this is a comforting video to watch when faced with an annoyingly elegant solution like eleven's.