The New Sudoku Players' Forum

[mith]

Code: Select all

+-------+-------+-------+
| . 9 . | . . . | . . . |
| . . 8 | 7 . 6 | . . . |
| . . . | . 8 . | 5 . . |
+-------+-------+-------+
| . . 4 | 6 . 7 | . 3 . |
| . . . | . 2 . | . . . |
| . . 6 | 8 . 3 | . 7 . |
+-------+-------+-------+
| . . 3 | . . 4 | . 8 . |
| 8 4 . | . 6 . | 2 . . |
| . 2 . | . . . | 1 . . |
+-------+-------+-------+
.9.........87.6.......8.5....46.7.3.....2......68.3.7...3..4.8.84..6.2...2....1..

(My son has watched Finding Nemo/Dory so many times at this point...)

[RSW]

Code: Select all

 +-------------------+----------------+--------------------+
 | 134567 9     1257 | 1345 1345  125 | 34678 146   14678  |
 | 1345   135   8    | 7    13459 6   | 349   2     149    |
 | 13467  1367  127  | 1349 8     129 | 5     1469  14679  |
 +-------------------+----------------+--------------------+
 | 1259   158   4    | 6    159   7   | 89    3     12589  |
 | 13579  13578 1579 | 1459 2     159 | 4689  14569 145689 |
 | 1259   15    6    | 8    1459  3   | 49    7     12459  |
 +-------------------+----------------+--------------------+
 | 15679  1567  3    | 2    1579  4   | 679   8     5679   |
 | 8      4     1579 | 1359 6     159 | 2     59    3579   |
 | 5679   2     579  | 359  3579  8   | 1     4569  345679 |
 +-------------------+----------------+--------------------+


Jellyfish: (9)r2467c1579
Jellyfish: (5)r2467c1259
Jellyfish: (1)r2467c1259
Basics
X-Wing: (4)r26c57
ste

[denis_berthier]

Code: Select all

+-------+-------+-------+
| . 9 . | . . . | . . . |
| . . 8 | 7 . 6 | . . . |
| . . . | . 8 . | 5 . . |
+-------+-------+-------+
| . . 4 | 6 . 7 | . 3 . |
| . . . | . 2 . | . . . |
| . . 6 | 8 . 3 | . 7 . |
+-------+-------+-------+
| . . 3 | . . 4 | . 8 . |
| 8 4 . | . 6 . | 2 . . |
| . 2 . | . . . | 1 . . |
+-------+-------+-------+
.9.........87.6.......8.5....46.7.3.....2......68.3.7...3..4.8.84..6.2...2....1..

(My son has watched Finding Nemo/Dory so many times at this point...)

Hidden Text: Show

***********************************************************************************************
*** SudoRules 20.1.s based on CSP-Rules 2.1.s, config = S
*** Using CLIPS 6.32-r770
***********************************************************************************************
hidden-single-in-a-row ==> r9c6 = 8
hidden-single-in-a-row ==> r7c4 = 2
228 candidates, 1616 csp-links and 1616 links. Density = 6.24%
whip[1]: c8n2{r3 .} ==> r3c9 ≠ 2, r1c9 ≠ 2, r2c9 ≠ 2
whip[1]: c3n2{r3 .} ==> r3c1 ≠ 2, r1c1 ≠ 2, r2c1 ≠ 2
hidden-single-in-a-row ==> r2c8 = 2
whip[1]: c7n3{r2 .} ==> r3c9 ≠ 3, r1c9 ≠ 3, r2c9 ≠ 3
jellyfish-in-columns: n9{c3 c6 c4 c8}{r9 r8 r5 r3} ==> r9c9 ≠ 9, r9c5 ≠ 9, r9c1 ≠ 9, r8c9 ≠ 9, r5c9 ≠ 9, r5c7 ≠ 9, r5c1 ≠ 9, r3c9 ≠ 9
jellyfish-in-columns: n5{c3 c6 c4 c8}{r9 r8 r1 r5} ==> r9c9 ≠ 5, r9c5 ≠ 5, r9c1 ≠ 5, r8c9 ≠ 5, r5c9 ≠ 5, r5c2 ≠ 5, r5c1 ≠ 5, r1c5 ≠ 5, r1c1 ≠ 5
jellyfish-in-columns: n1{c3 c8 c4 c6}{r8 r5 r3 r1} ==> r5c9 ≠ 1, r5c2 ≠ 1, r5c1 ≠ 1, r3c9 ≠ 1, r3c2 ≠ 1, r3c1 ≠ 1, r1c9 ≠ 1, r1c5 ≠ 1, r1c1 ≠ 1
hidden-triplets-in-a-block: b6{r5c8 r4c9 r6c9}{n1 n2 n5} ==> r6c9 ≠ 9, r6c9 ≠ 4, r5c8 ≠ 9, r5c8 ≠ 6, r5c8 ≠ 4, r4c9 ≠ 9, r4c9 ≠ 8
whip[1]: b6n9{r6c7 .} ==> r2c7 ≠ 9, r7c7 ≠ 9
naked-quads-in-a-column: c1{r1 r3 r9 r5}{n3 n4 n6 n7} ==> r7c1 ≠ 7, r7c1 ≠ 6, r2c1 ≠ 4, r2c1 ≠ 3
hidden-quads-in-a-column: c9{n1 n2 n5 n9}{r2 r4 r6 r7} ==> r7c9 ≠ 7, r7c9 ≠ 6, r2c9 ≠ 4
naked-pairs-in-a-block: b9{r7c9 r8c8}{n5 n9} ==> r9c8 ≠ 9, r9c8 ≠ 5
hidden-pairs-in-a-row: r9{n5 n9}{c3 c4} ==> r9c4 ≠ 3, r9c3 ≠ 7
x-wing-in-rows: n4{r2 r6}{c5 c7} ==> r5c7 ≠ 4, r1c7 ≠ 4, r1c5 ≠ 4
stte

[mith]

Yep, nothing complicated here. It's pretty easy to generate puzzles with 3 jellyfish (based on a pattern with a 4x4 filled with six digits, and the other three digits appearing once each), but this is the first I found that also includes both a naked quad and a hidden quad.

Here's a pure jellyfish puzzle (that kinda looks like a jellyfish):

Code: Select all

+-------+-------+-------+
| . . 1 | . 2 3 | 4 . . |
| . 5 . | . . . | . 2 . |
| 2 . . | . . . | . . 6 |
+-------+-------+-------+
| . . . | . . . | . . . |
| . . 7 | . 3 4 | 8 . . |
| . . 2 | . 8 1 | 3 . . |
+-------+-------+-------+
| . . 3 | . 1 8 | 7 . . |
| . . . | . . . | . 9 . |
| . 1 . | . 7 . | . . 8 |
+-------+-------+-------+
..1.234...5.....2.2.......6...........7.348....2.813....3.187.........9..1..7...8

[Cenoman]

In both puzzles the three jellyfishes can be processed in one step as MSLS's (Multi Sector Locked Sets)
First puzzle:

Code: Select all

 +--------------------------+-----------------------+---------------------------+
 |  3467-15  9       1257   |  1345   34-15   125   |  34678   146     4678-1   |
 | <1345    <135     8      |  7     <13459   6     | <349     2      <149      | 34
 |  3467-1   367-1   127    |  1349   8       129   |  5       1469    467-19   |
 +--------------------------+-----------------------+---------------------------+
 | <1259    <158     4      |  6     <159     7     | <89      3      <12589    | 28
 |  37-159   378-15  1579   |  1459   2       159   |  468-9   14569   468-159  |
 | <1259    <15      6      |  8     <1459    3     | <49      7      <12459    | 24
 +--------------------------+-----------------------+---------------------------+
 | <15679   <1567    3      |  2     <1579    4     | <679     8      <5679     | 67
 |  8        4       1579   |  1359   6       159   |  2       59      37-59    |
 |  67-59    2       579    |  359    37-59   8     |  1       4569    3467-59  |
 +--------------------------+-----------------------+---------------------------+
    159      15                       159              9               159

MSLS
20 cells truths: r2467 c12579
20 links: 159c1, 15c2, 159c5, 9c7, 159c9
26 eliminations: -15r1c15, -1r1c9, -1r3c12, -19r3c9, -159r5c19, -15r5c2, -9r5c7, -59r8c9, -59r9c159

Code: Select all

 +------------------------+-----------------------+--------------------------+
 |  3467*   9      1257   |  1345   3-4     125   |  3678-4  146     4678    |
 |  15-34   135    8      |  7      13459#  6     |  349#    2       19-4^   |
 |  3467*   367    127    |  1349   8       129   |  5       1469    467     |
 +------------------------+-----------------------+--------------------------+
 |  1259    158    4      |  6      159     7     |  89      3       1259-8^ |
 |  37*     378    1579   |  1459   2       159   |  68-4    14569   468     |
 |  1259    15     6      |  8      1459#   3     |  49#     7       1259-4^ |
 +------------------------+-----------------------+--------------------------+
 |  159-67  1567   3      |  2      1579    4     |  679     8       59-67^  |
 |  8       4      1579   |  1359   6       159   |  2       59      37      |
 |  67*     2      579    |  359    37      8     |  1       4569    3467    |
 +------------------------+-----------------------+--------------------------+

NQ(3467)r1359c1 *, HQ(1259)r2467c9 ^; X-Wing (4)r26\c57 #; singles to the end

Second puzzle:

Code: Select all

 +----------------------------+-------------------------+---------------------------+
 | <6789     <6789    1       | <56789    2     3       |  4      <578    <579      | 78
 |  3478-69   5       4689    |  1478-69  469   679     |  19      2       137-9    |
 |  2         3478-9  489     |  1478-59  459   579     |  159     1378-5  6        |
 +----------------------------+-------------------------+---------------------------+
 |  1348-569  348-69  45689   |  27-569   569   25679   |  12569   147-56  1247-59  |
 | <1569     <69      7       | <2569     3     4       |  8      <156    <1259     | 12
 | <4569     <469     2       | <5679     8     1       |  3      <4567   <4579     | 47
 +----------------------------+-------------------------+---------------------------+
 | <4569     <2469    3       | <24569    1     8       |  7      <456    <245      | 24
 |  478-56    2478-6  4568    |  234-56   456   256     |  1256    9       1234-5   |
 |  4-569     1       4569    |  234-569  7     2569    |  256     34-56   8        |
 +----------------------------+-------------------------+---------------------------+
    569       69                 569                               56      59

MSLS
20 cell truths: r1567 c12489
20 links: 569c1, 69c2, 569c4, 56c8, 59c9, 78r1, 12r5, 47r6, 24r7
35 eliminations -569 r1567 c12489; singles to the end

[denis_berthier]

Here's a pure jellyfish puzzle (that kinda looks like a jellyfish):

Code: Select all

+-------+-------+-------+
| . . 1 | . 2 3 | 4 . . |
| . 5 . | . . . | . 2 . |
| 2 . . | . . . | . . 6 |
+-------+-------+-------+
| . . . | . . . | . . . |
| . . 7 | . 3 4 | 8 . . |
| . . 2 | . 8 1 | 3 . . |
+-------+-------+-------+
| . . 3 | . 1 8 | 7 . . |
| . . . | . . . | . 9 . |
| . 1 . | . 7 . | . . 8 |
+-------+-------+-------+
..1.234...5.....2.2.......6...........7.348....2.813....3.187.........9..1..7...8

Wow, 3 jellyfishes with many (11/12/12) eliminations each, and done!

Hidden Text: Show

***********************************************************************************************
*** SudoRules 20.1.s based on CSP-Rules 2.1.s, config = S
*** Using CLIPS 6.32-r770
***********************************************************************************************
235 candidates, 1716 csp-links and 1716 links. Density = 6.24%
jellyfish-in-columns: n9{c3 c7 c5 c6}{r9 r4 r3 r2} ==> r9c4 ≠ 9, r9c1 ≠ 9, r4c9 ≠ 9, r4c4 ≠ 9, r4c2 ≠ 9, r4c1 ≠ 9, r3c4 ≠ 9, r3c2 ≠ 9, r2c9 ≠ 9, r2c4 ≠ 9, r2c1 ≠ 9
jellyfish-in-columns: n6{c3 c7 c5 c6}{r9 r8 r4 r2} ==> r9c8 ≠ 6, r9c4 ≠ 6, r9c1 ≠ 6, r8c4 ≠ 6, r8c2 ≠ 6, r8c1 ≠ 6, r4c8 ≠ 6, r4c4 ≠ 6, r4c2 ≠ 6, r4c1 ≠ 6, r2c4 ≠ 6, r2c1 ≠ 6
jellyfish-in-columns: n5{c3 c7 c5 c6}{r9 r8 r4 r3} ==> r9c8 ≠ 5, r9c4 ≠ 5, r9c1 ≠ 5, r8c9 ≠ 5, r8c4 ≠ 5, r8c1 ≠ 5, r4c9 ≠ 5, r4c8 ≠ 5, r4c4 ≠ 5, r4c1 ≠ 5, r3c8 ≠ 5, r3c4 ≠ 5
stte

[pjb]

With regard to second puzzle:
Although the underlying logic is entirely different, there is a relationship between POM (pattern overlay method) and fish. Thus the puzzle is solved by running the POM technique 3 times:

No pattern of 5 includes r3c48, r4c1489, r8c149, r9c148 => -5 from these cells
No pattern of 6 includes r2c14, r4c1248, r8c124, r9c148 => -6 " " "
No pattern of 9 includes r2c14, r2c9, r3c24, r4c1249, r9c14 => -9 " " " => stte

Phil