## Patterns Game 0287 - 7.4 (m_b_metcalf)

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### Patterns Game 0287 - 7.4 (m_b_metcalf)

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` +-------+-------+-------+ | . 1 . | . . . | 2 3 . | | 2 . . | 4 5 . | . . . | | . . . | . . . | 5 6 . | +-------+-------+-------+ | . 4 . | . . . | . . 7 | | . 5 . | . 2 . | . . 8 | | . . . | . . 8 | . . . | +-------+-------+-------+ | 7 . 3 | . . . | 1 . . | | 4 . 6 | . . . | . . . | | . . . | 7 9 . | . . 6 | +-------+-------+-------+`
eleven

Posts: 1865
Joined: 10 February 2008

### Re: Patterns Game 0287 - 7.4 (m_b_metcalf)

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`+---------------------+--------------------+----------------------+| 568    1       4578 | 689    678   679   | 2       3      49    || 2      -6(3)   9    | 4      5     6(3)  | 78      78     1     || 38     37      478  | 12389  1378  12379 | 5       6      49    |+---------------------+--------------------+----------------------+| 13689  4       128  | 13569  136   13569 | (369)   1259   7     || 1369   5       (17) | 1369   2     47    | (3469)  (149)  8     || 1369   (67-3)  127  | 13569  47    8     | (3469)  12459  25(3) |+---------------------+--------------------+----------------------+| 7      289     3    | 2568   468   2456  | 1       24589  25    || 4      289     6    | 12358  138   1235  | 3789    25789  25(3) || 15     28      15   | 7      9     24(3) | 48(3)   248    6     |+---------------------+--------------------+----------------------+`
Swordfish{3R29C9} -> -{3r6c2}
[3r2c2=3r2c6-3r9c6=3r9c7-(3=469=1)r456c7.r5c8-(1=7=6)r5c3.r6c2]-6r2c2; stte
JC Van Hay

Posts: 719
Joined: 22 May 2010

### Re: Patterns Game 0287 - 7.4 (m_b_metcalf)

JC, again you posted basically the same as my solution.
But i am not used to your notation. Please could you describe in words, how to read it ? I tried it below for mine.

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` *-------------------------------------------------------------------------* |  568     1     4578   |  689     678    679     |  2      3       49    | |  2       3-6   9      |  4       5     a36      |  78     78      1     | |  38      37    478    |  12389   1378   12379   |  5      6       49    | |-----------------------+-------------------------+-----------------------| |  13689   4     128    |  13569   136    13569   | d369   e1259    7     | |  1369    5    f17     |  1369    2      47      | d3469  e149     8     | |  1369   f367   127    |  13569   47     8       | d3469  e12459  e235   | |-----------------------+-------------------------+-----------------------| |  7       289   3      |  2568    468    2456    |  1      24589   25    | |  4       289   6      |  12358   138    1235    |  3789   25789   235   | |  15      28    15     |  7       9     b234     | c348    248     6     | *-------------------------------------------------------------------------*`

(6=3)r2c6-r9c6=r9c7-(3=469)r456c7-(4|6|9)b6p2589=13b6p59.28-(1|3=6)b4p68 => -6r2c2, stte
if r2c6 is not 6, then it is 3,
then no 3 in r9c6, must be in r9c7,
then no 3, but 469 in r456c7,
then in the rest of box 6, marked e, only candidates 1235 are left and r6c9 must be 3 (only cell) and r5c8 must be 1 (only candidate).
[Rem.: the 3 is trivial and the 1 immediately pops up with the triple 469, which leaves 1 in r5c8.]
then no 1 in r5c3, must be 7, and no 3 in r6c2, must be 6.
eleven

Posts: 1865
Joined: 10 February 2008

### Re: Patterns Game 0287 - 7.4 (m_b_metcalf)

Hi eleven,

I suppose you would like an explanation of (3=469=1)r456c7.r5c8 :
1. I often see it written a (3=1)r456.r5c8 or (3=1)b6p1457
2. From left to right, it means (3=4691)r456c7.r5c8
3. From right to left, it means (1=4693)r456c7.r5c8
4. One could also write the ANQ(13469)r456c7.r5c8 as a derived constraint 3r456c7==1r5c8 [as well as 6r456c7==1r5c8]
I wrote a chain mentioning all the candidates, but I could simplify it as
[3r2c2=3r2c6-3r9c6=3r9c7-3r456c7==1r5c8-1r5c3==6r6c2]-6r2c2; stte [taking into account the 3 constraints on the 3s]

Just for comparison, here is your WYSIWYG desription of your chain :
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`6r2c6 3r2c6      3r9c6 3r9c7            3r4c7|6r4c7 9r4c7      |            3r5c7|6r5c7 9r5c7 4r5c7|            3r6c7|6r6c7 9r6c7 4r6c7|                        9r5c8 4r5c8 1r5c8                        9r4c8       1r4c8|2r4c8 5r4c8|                        9r6c8 4r6c8 1r6c8|2r6c8 5r6c8|                                          2r6c9 5r6c9 3r6c9                                    1r5c3                   7r5c3                                                      3r6c2 7r6c2 6r6c2 -> [6r2c6==6r6c2] => -6r2c2; stte`
Note the NT and the NP isolated by the symbols |.
However, you can reduce the number of constraints from 11 to 9 by replacing the 3 cells b6p289=r46c8.r6c9 by the bilocal 3C9.
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`6r2c6 3r2c6      3r9c6 3r9c7            3r4c7|6r4c7 9r4c7      |            3r5c7|6r5c7 9r5c7 4r5c7|            3r6c7|6r6c7 9r6c7 4r6c7|                        9r5c8 4r5c8 1r5c8            3r8c9                         3r6c9                                    1r5c3       7r5c3                                          3r6c2 7r6c2 6r6c2 -> [6r2c6==6r6c2] => -6r2c2; stte`
Which is almost the same as my chain : I used the bilocal 3R2 instead of (36)r2c6.
The only difference : I got a cannibalized exclusion 3r6c2 explained by an included sub-chain.
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`3r2c2 3r2c6      3r9c6 3r9c7            3r4c7|6r4c7 9r4c7      |            3r5c7|6r5c7 9r5c7 4r5c7|            3r6c7|6r6c7 9r6c7 4r6c7|                        9r5c8 4r5c8 1r5c8            3r8c9                         3r6c9                                    1r5c3       7r5c3                                         "3r6c2"7r6c2 6r6c2 -> [3r2c2==3r6c9] and [6r2c6==6r6c2] => -{3r6c2, 6r2c2}; stte`

Hope this helps,
JC
JC Van Hay

Posts: 719
Joined: 22 May 2010

### Re: Patterns Game 0287 - 7.4 (m_b_metcalf)

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`+--------------------+--------------------+----------------------+| 568    1      4578 | 689    678   679   | 2       3      49    || 2      -6(3)  9    | 4      5     6(3)  | 78      78     1     || 38     37     478  | 12389  1378  12379 | 5       6      49    |+--------------------+--------------------+----------------------+| 13689  4      128  | 13569  136   13569 | (369)   1259   7     || 1369   5      (17) | 1369   2     47    | (3469)  (149)  8     || 1369   (367)  127  | 13569  47    8     | (3469)  12459  25(3) |+--------------------+--------------------+----------------------+| 7      289    3    | 2568   468   2456  | 1       24589  25    || 4      289    6    | 12358  138   1235  | 3789    25789  235   || 15     28     15   | 7      9     24(3) | 48(3)   248    6     |+--------------------+--------------------+----------------------+`

Same (basic) logic, different presentation ...

Kraken cell: 367r6c2 => -6r2c2; stte

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`3r6c2 - r6c79 = 3r45c7 --------  ||                            \7r6c2 - (7=1)r5c3 - (1=3)b6p147 - 3r9c7 = r9c6 - r2c6 = 3r2c2 - 6r2c2  ||                                                          /6r6c2 -------------------------------------------------------`

Cheers,
Blue.
blue

Posts: 684
Joined: 11 March 2013

### Re: Patterns Game 0287 - 7.4 (m_b_metcalf)

Thanks JC for the elaborate explanation.
eleven

Posts: 1865
Joined: 10 February 2008