The New Sudoku Players' Forum

[mith]

Code: Select all

+-------+-------+-------+
| . . . | . . . | . . . |
| . . 9 | 8 . . | 7 . 6 |
| . 5 4 | . 9 . | . 3 . |
+-------+-------+-------+
| . 6 . | . 8 . | . 2 . |
| . . 8 | 6 . . | 4 . 7 |
| . . . | . . . | . . . |
+-------+-------+-------+
| . . 6 | 4 . . | 8 . 1 |
| . 3 . | . 2 8 | . . . |
| . . 7 | 1 . . | . . . |
+-------+-------+-------+
...........98..7.6.54.9..3..6..8..2...86..4.7...........64..8.1.3..28.....71.....

[Cenoman]

Four steps (one AIC and three fishes), in any sequence you'd like:

Code: Select all

 +-------------------------+-----------------------------+--------------------------+
 |  678       78    123    |  2357    1467-35  1467-235  |  1259   e1489-5  24589   |
 |  123^#     12^   9      |  8       1345*#   12345*^#  |  7       145*    6       |
 |  678       5     4      | a27      9        167-2     |  1-2     3      f28      |
 +-------------------------+-----------------------------+--------------------------+
 |  1479-35   6     135    |  3579    8        1479-35   |  1359    2       359     |
 |  12359*^#  129^  8      |  6       135*#    12359*^#  |  4       159*    7       |
 |  1479-235  47    1235   |  23579   147-35   1479-235  |  13569  d1689-5  3589    |
 +-------------------------+-----------------------------+--------------------------+
 |  259*^     29^   6      |  4       357*#    3579*#    |  8       579*    1       |
 |  149-5     3     15     | b579     2        8         |  569    c4679-5  459     |
 |  4589*     48    7      |  1       56*      569*      |  23      459*    23      |
 +-------------------------+-----------------------------+--------------------------+

(2=7)r3c4 - r8c4 = (7-6)r8c8 = (6-8)r6c8 = r1c8 - (8=2)r3c9 => -2 r3c7
Jellyfish * (5)r2579\c1568 => -5 r1468c1568
Swordfish ^ (2)r257\c126 => -2 r136c126
Swordfish # (3)r257\c156 => -3 r146c156
Basics to the end.

[mith]

Nice.

(Like the other, it is also solvable with only basics and fishes, for those who are scared off by chains.)

[SpAce]

Code: Select all

 \235      \2                  \35      \235              \5
.----------------------.--------------------------.----------------------.
| 678       78    123  | 2357   1467-35  1467-235 | 1259   1489-5  24589 |
| 1*23      1*2   9    | 8      14*35    14*235   | 7      14*5    6     | *235
| 678       5     4    | 27     9        167-2    | 12     3       28    |
:----------------------+--------------------------+----------------------:
| 1479-35   6     135  | 3579   8        1479-35  | 1359   2       359   |
| 19*235    19*2  8    | 6      1*35     19*235   | 4      19*5    7     | *235
| 1479-235  47    1235 | 23579  147-35   1479-235 | 13569  1689-5  3589  |
:----------------------+--------------------------+----------------------:
| 9*25      9*2   6    | 4      7*35     79*35    | 8      79*5    1     | *235
| 149-5     3     15   | 579    2        8        | 569    4679-5  459   |
| 489*5     48    7    | 1      6*5      69*5     | 23     49*5    23    | *5
'----------------------'--------------------------'----------------------'

Step 1.

10x10 {235R257 5R9 \ 235c16 2c2 35c5 5c8} => -2 r6c1,r136c6, -3 r46c1,r16c5,r146c6, -5 r468c1,r16c5,r146c6,r168c8

Or:

12x12 {235C3479 \ 235r16 23r9 35r4 2r3 5r8} => the same

(That's just three fishes in one package. Nothing more interesting. Count it as three steps if you like.)

Code: Select all

                    *9                   *9            *9
.-----------------.--------------------.----------------------.
| 678    78   123 |  2357  1467  1467  | *1259  148-9  *24589 | \9
| 123    12   9   |  8     1345  12345 |  7     145     6     |
| 678    5    4   |  27    9     167   |  12    3       28    |
:-----------------+--------------------+----------------------:
| 147-9  6    135 | *3579  8     147-9 | *1359  2      *359   | \9
| 12359  129  8   |  6     135   12359 |  4     159     7     |
| 1479   47   235 |  235   147   1479  |  356   68      358   |
:-----------------+--------------------+----------------------:
| 259    29   6   |  4     357   3579  |  8     579     1     |
| 14-9   3    15  | *579   2     8     | *569   467-9  *459   | \9
| 4589   48   7   |  1     56    569   |  23    459     23    |
'-----------------'--------------------'----------------------'

Step 2.

(9)c479\r148 => -9 r1c8,r4c16,r8c18; btte

[pjb]

Could use fish alone, but 4 steps:

MSLS
15 cell Truths: r257 c126 +r2c5 r2c8 r5c5 r5c8 r7c5 r7c8
15 links: 1345r2, 1359r5, 3579r7, 2c1, 2c2, 2c6
4 eliminations

Jellyfish of 5s (r2579\c1568)
11 eliminations

Jellyfish of 3s (c3479\r1469)
7 eliminations

MSLS
15 cell Truths: r3468 c3479
15 links: 2r3, 359r4, 235r6, 59r8, 1c3, 7c4, 16c7, 48c9
9 eliminations => solved

Phil

[denis_berthier]

Code: Select all

+-------+-------+-------+
| . . . | . . . | . . . |
| . . 9 | 8 . . | 7 . 6 |
| . 5 4 | . 9 . | . 3 . |
+-------+-------+-------+
| . 6 . | . 8 . | . 2 . |
| . . 8 | 6 . . | 4 . 7 |
| . . . | . . . | . . . |
+-------+-------+-------+
| . . 6 | 4 . . | 8 . 1 |
| . 3 . | . 2 8 | . . . |
| . . 7 | 1 . . | . . . |
+-------+-------+-------+
...........98..7.6.54.9..3..6..8..2...86..4.7...........64..8.1.3..28.....71.....

Excellent!

I didn't try to avoid the basic interactions (Whips[1]), as they are the most basic patterns after Singles.

Hidden Text: Show

***********************************************************************************************
*** SudoRules 20.1.s based on CSP-Rules 2.1.s, config = S
*** Using CLIPS 6.32-r770
*** Running on MacBookPro Retina Mid-2012 i7 2.7GHz, 16GB 1600MHz DDR3, MacOS 10.15.4
***********************************************************************************************
...........98..7.6.54.9..3..6..8..2...86..4.7...........64..8.1.3..28.....71.....
233 candidates, 1690 csp-links and 1690 links. Density = 6.25%
whip[1]: r8n6{c8 .} ==> r9c8 ≠ 6, r9c7 ≠ 6
whip[1]: r7n3{c6 .} ==> r9c6 ≠ 3, r9c5 ≠ 3
whip[1]: r7n2{c2 .} ==> r9c2 ≠ 2, r9c1 ≠ 2
hidden-pairs-in-a-row: r9{n2 n3}{c7 c9} ==> r9c9 ≠ 9, r9c9 ≠ 5, r9c9 ≠ 4, r9c7 ≠ 9, r9c7 ≠ 5
naked-triplets-in-a-column: c2{r2 r5 r7}{n2 n1 n9} ==> r9c2 ≠ 9, r6c2 ≠ 9, r6c2 ≠ 2, r6c2 ≠ 1, r1c2 ≠ 2, r1c2 ≠ 1
naked-triplets-in-a-block: b1{r1c3 r2c1 r2c2}{n2 n3 n1} ==> r3c1 ≠ 2, r3c1 ≠ 1, r1c1 ≠ 3, r1c1 ≠ 2, r1c1 ≠ 1
swordfish-in-rows: n3{r2 r5 r7}{c6 c1 c5} ==> r6c6 ≠ 3, r6c5 ≠ 3, r6c1 ≠ 3, r4c6 ≠ 3, r4c1 ≠ 3, r1c6 ≠ 3, r1c5 ≠ 3
swordfish-in-rows: n2{r2 r5 r7}{c2 c6 c1} ==> r6c6 ≠ 2, r6c1 ≠ 2, r3c6 ≠ 2, r1c6 ≠ 2
jellyfish-in-columns: n5{c3 c9 c4 c7}{r8 r6 r4 r1} ==> r8c8 ≠ 5, r8c1 ≠ 5, r6c8 ≠ 5, r6c6 ≠ 5, r6c5 ≠ 5, r6c1 ≠ 5, r4c6 ≠ 5, r4c1 ≠ 5, r1c8 ≠ 5, r1c6 ≠ 5, r1c5 ≠ 5
naked-quads-in-a-row: r6{c1 c6 c2 c5}{n1 n9 n4 n7} ==> r6c9 ≠ 9, r6c8 ≠ 9, r6c8 ≠ 1, r6c7 ≠ 9, r6c7 ≠ 1, r6c4 ≠ 9, r6c4 ≠ 7, r6c3 ≠ 1
swordfish-in-columns: n9{c4 c7 c9}{r4 r8 r1} ==> r8c8 ≠ 9, r8c1 ≠ 9, r4c6 ≠ 9, r4c1 ≠ 9, r1c8 ≠ 9
hidden-quads-in-a-row: r1{n2 n3 n5 n9}{c9 c3 c4 c7} ==> r1c9 ≠ 8, r1c9 ≠ 4, r1c7 ≠ 1, r1c4 ≠ 7, r1c3 ≠ 1
stte
319852746
854796132
761584329
528639417
943217568
296473851
135928674
487165293

[mith]

Yep, this one came up in a search for puzzles requiring all three quad techniques (and was the only one in the initial batch that was a pearl). I'll post some more with varying numbers of each quad type at some point.