The New Sudoku Players' Forum

[morl]

Code: Select all

7..|6.1|..8
.2.|...|.5.
..3|.9.|4..
---+---+---
5..|...|..7
..9|.6.|5..
8..|...|..6
---+---+---
..6|.7.|1..
.7.|...|.3.
9..|5.8|..4

7..6.1..8.2.....5...3.9.4..5.......7..9.6.5..8.......6..6.7.1...7.....3.9..5.8..4

[SpAce]

Something different for once:

Code: Select all

.------------.-----------------------.----------------.
| 7   9   45 |  6     b(45)     1    | 3    2     8   |
| 1   2   48 |  7     b(48)     3    | 6    5     9   |
| 6  C58  3  | C8*2     9      a5*2  | 4    7     1   |
:------------+-----------------------+----------------:
| 5   6   1  |  3    Db(8)-2    249  | 289  489   7   |
| 2   4   9  | D18      6       7    | 5    18    3   |
| 8   3   7  |  1249    125     2459 | 29   149   6   |
:------------+-----------------------+----------------:
| 3  B58  6  |  49*2    7      A249* | 1    89   B5*2 |
| 4   7   58 |  19*2    1(#2)   6    | 89   3     5*2 |
| 9   1   2  |  5       3       8    | 7    6     4   |
'------------'-----------------------'----------------'

Kraken Finned Swordfish (2)r378\c469 f:r8c5

(2-5)r3c6 = (548)r124c5
||
(2)r7c6 - (2=58)r7c92 - (8)r3c2=4 - (8)b5p4=2
||
(2)r8c5

=> -2 r4c5; stte

[rjamil]

Code: Select all

 +-------------+-----------------+---------------+
 | 7  9     45 | 6     45   1    | 3    2     8  |
 | 1  2     48 | 7     48   3    | 6    5     9  |
 | 6  5(8)  3  | 2(8)  9    25   | 4    7     1  |
 +-------------+-----------------+---------------+
 | 5  6     1  | 3     28   249  | 289  49-8  7  |
 | 2  4     9  | 1(8)  6    7    | 5    1(8)  3  |
 | 8  3     7  | 1249  125  2459 | 29   149   6  |
 +-------------+-----------------+---------------+
 | 3  5(8)  6  | 249   7    249  | 1    (8)9  25 |
 | 4  7     58 | 129   12   6    | 89   3     25 |
 | 9  1     2  | 5     3    8    | 7    6     4  |
 +-------------+-----------------+---------------+

0. Row wise Sword Fish: 8 @ r357c248 => -8 @ r4c8;

Code: Select all

 +-------------+------------------+----------------+
 | 7  9     45 | 6     45   1     | 3    2    8    |
 | 1  2     48 | 7     48   3     | 6    5    9    |
 | 6  [5]8  3  | 28    9    (25)  | 4    7    1    |
 +-------------+------------------+----------------+
 | 5  6     1  | 3     28   249   | 289  49   7    |
 | 2  4     9  | 18    6    7     | 5    18   3    |
 | 8  3     7  | 1249  125  459-2 | 29   149  6    |
 +-------------+------------------+----------------+
 | 3  [5]8  6  | 249   7    249   | 1    89   (25) |
 | 4  7     58 | 129   12   6     | 89   3    25   |
 | 9  1     2  | 5     3    8     | 7    6    4    |
 +-------------+------------------+----------------+

1. W-Wing: 25 @ r7c9 r3c6 Strong Link 5 @ r37c2 => -2 @ r7c6;

Code: Select all

 +-----------+--------------------+--------------+
 | 7  9   45 | 6     45    1      | 3    2    8  |
 | 1  2   48 | 7     4-8   3      | 6    5    9  |
 | 6  58  3  | (28)  9     [2]5   | 4    7    1  |
 +-----------+--------------------+--------------+
 | 5  6   1  | 3     (28)  [2]49  | 289  49   7  |
 | 2  4   9  | 1-8   6     7      | 5    18   3  |
 | 8  3   7  | 1249  125   [2]459 | 29   149  6  |
 +-----------+--------------------+--------------+
 | 3  58  6  | 249   7     49     | 1    89   25 |
 | 4  7   58 | 129   12    6      | 89   3    25 |
 | 9  1   2  | 5     3     8      | 7    6    4  |
 +-----------+--------------------+--------------+

2. W-Wing: 28 @ r4c5 r3c4 Strong Link 2 @ r3c6 r46c6 => -8 @ r2c5 r5c4; stte

R. Jamil

[SpAce]

0. Row wise Sword Fish: 8 @ r357c248 => -8 @ r4c8;
1. W-Wing: 25 @ r7c9 r3c6 Strong Link 5 @ r37c2 => -2 @ r7c6;
2. W-Wing: 28 @ r4c5 r3c4 Strong Link 2 @ r3c6 r46c6 => -8 @ r2c5 r5c4; stte

Hi rjamil! Just a very minor note. I think it would be better to start counting at 1 instead of 0. Only computers tend to use 0 as the first index, but 1 is the more natural starting point for humans. In fact, 1 is usually the better choice in software too when it's supported, because then the last index tells you directly how many elements you have. It's the same thing here: if I looked at your last step only I would naturally assume that you have just two steps when you actually have three.

[rjamil]

Hi SpAce,

Hi rjamil! Just a very minor note. I think it would be better to start counting at 1 instead of 0. Only computers tend to use 0 as the first index, but 1 is the more natural starting point for humans. In fact, 1 is usually the better choice in software too when it's supported, because then the last index tells you directly how many elements you have. It's the same thing here: if I looked at your last step only I would naturally assume that you have just two steps when you actually have three.

Well, I do normally start counting non-basic steps from 1. In some cases, when first step was either basic fish or xy-wing or xyz-wing, I renumbered it as 0.

My multi-step solution is a childish attempt but shared to check and verify my program fitness. Actually, I am polishing my program to show steps in this way.

R. Jamil

[SpAce]

Well, I do normally start counting non-basic steps from 1. In some cases, when first step was either basic fish or xy-wing or xyz-wing, I renumbered it as 0.

Ok, but why? As you know, even those simple patterns are counted as non-basics here, so they deserve no special treatment. It's just confusing.

[Ngisa]

Code: Select all

+---------------+----------------------+------------------+
| 7    9     45 |  6       45     1    | 3      2      8  |
| 1    2     48 |  7       48     3    | 6      5      9  |
| 6   j58    3  |ka8-2*    9     b25   | 4      7      1  |
+---------------+----------------------+------------------+
| 5    6     1  |  3       28     249  | 289    489    7  |
| 2    4     9  |  18      6      7    | 5      18     3  |
| 8    3     7  |  1249   d125   c2459 | 29     149    6  |
+---------------+----------------------+------------------+
| 3   i58    6  |  249     7      249  | 1     h89     25 |
| 4    7     58 | f129    e12     6    |g89     3      25 |
| 9    1     2  |  5       3      8    | 7      6      4  |
+---------------+----------------------+------------------+


(2*)r3c4 - (2=5)r3c6 - r6c6 = (5-1)r6c5 = (1)r8c5 - (12*=9)r8c4 - (9=8)r8c7 - r7c8 = r7c2 - r3c2 = (8)r3c4 => - 2r3c4; stte

Clement

[SteveG48]

Code: Select all

.-----------.-----------------.--------------.
| 7  9   4-5| 6    a45   1    | 3    2    8  |
| 1  2   48 | 7    a48   3    | 6    5    9  |
| 6  58  3  |a28    9    25   | 4    7    1  |
:-----------+-----------------+--------------:
| 5  6   1  | 3    a28   249  | 289  489  7  |
| 2  4   9  | 18    6    7    | 5    18   3  |
| 8  3   7  | 1249  125  2459 | 29   149  6  |
:-----------+-----------------+--------------:
| 3  58  6  | 249   7    249  | 1    89   25 |
| 4  7  b58 |b129  b12   6    |b89   3    25 |
| 9  1   2  | 5     3    8    | 7    6    4  |
'-----------'-----------------'--------------'


(5=248)r124c5&b2p257 - (2=1589)r8c3457 => -5 r1c3 ; stte

[Cenoman]

Code: Select all

 +-----------------+----------------------+-------------------+
 |  7    9    45   |  6      45    1      |  3     2     8    |
 |  1    2    48   |  7      48    3      |  6     5     9    |
 |  6    58   3    |  28     9     25     |  4     7     1    |
 +-----------------+----------------------+-------------------+
 |  5    6    1    |  3    Bb28   a249*   |  29-8  489*  7    |
 |  2    4    9    |  18     6     7      |  5     18    3    |
 |  8    3    7    |  1249  B125 Aa2459*  |  29    149*  6    |
 +-----------------+----------------------+-------------------+
 |  3    58   6    |  249    7     249    |  1    y89#   25   |
 |  4    7    58   |  129   B12    6      | z89    3     25   |
 |  9    1    2    |  5      3     8      |  7     6     4    |
 +-----------------+----------------------+-------------------+

UR(49)r46 using mixed internals-external
(2)r46c6 - (2=8)r4c5
(5)r6c6 - (512=8)r468c5
(9)r7c8 - (9=8)r8c7
=> -8 r4c7; ste

[eleven]

Kraken Finned Swordfish (2)r378\c469 f:r8c5

Maybe a fish, but if you take 2r46c6 instead of 2r8c5, it's a column kraken.
Is your logic, that either it's a fish and one of r37c6 must be 2 or the fin must be 2 ?

Code: Select all

 *----------------------------------------------------------*
 |  7  9    45   |  6      45    1      |  3     2     8    |
 |  1  2   a48   |  7     b48    3      |  6     5     9    |
 |  6  58   3    | c28     9     25     |  4     7     1    |
 |---------------+----------------------+-------------------|
 |  5  6    1    |  3     c28    249    |  289   489   7    |
 |  2  4    9    |  18     6     7      |  5     18    3    |
 |  8  3    7    |  1249   125   2459   |  29    149   6    |
 |---------------+----------------------+-------------------|
 |  3  58   6    |  249    7     249    |  1     89    25   |
 |  4  7    5-8  | d129   d12    6      | d89    3     25   |
 |  9  1    2    |  5      3     8      |  7     6     4    |
 *----------------------------------------------------------*

8r2c3 = r2c5 - (8=2)r3c4&r4c5 -(2=198)r8c547 => -8r8c3, stte

[SpAce]

Kraken Finned Swordfish (2)r378\c469 f:r8c5

Maybe a fish, but if you take 2r46c6 instead of 2r8c5, it's a column kraken.

You're right, it'd be simpler that way. Kraken Row (2)r8 would work too. I just wanted to do it with the fish because that's what I happened to see, which is a rare event. In fact, this was the first time I recognized this type of Kraken Fish myself at all. Until now I've only seen them when found by Hodoku.

Is your logic, that either it's a fish and one of r37c6 must be 2 or the fin must be 2 ?

Exactly. It's what Hodoku calls Kraken Fish Type 2. Like I said, I'd never used that logic before, so of course I had to do it when I happened to spot an opportunity Kraken Fish Type 1 is probably more natural, and there are several ways to use that here too. For example:

Kraken Finned Sashimi Swordfish: (2)r378\c459 f:r37c6

or:

Kraken Finned X-Wing: (2)c67\r46 f:r37c6

The chains are the same as in the original, but now their starting points are considered fins, while the fish bodies see the elimination directly.