The New Sudoku Players' Forum

[Mauriès Robert]

Hi,
This fairly easy puzzle requires only one step to solve.

..3.7.9............6.521.8...........42.6.35.39..5..14.2..1..3.9..8.5..6..4...8..

puzzle: Show

Good solving.
Robert

[Cenoman]

Code: Select all

 +--------------------------+---------------------------+-------------------------+
 | f12458    158    3       |ga46       7    ga468      |  9      ga246    125    |
 | f124578   1578   1578    |  3469     3489   34689    |  124567   2467   1257   |
 | e47       6      9       |  5        2      1        | d47       8      3      |
 +--------------------------+---------------------------+-------------------------+
 |  15678    1578   15678   |  123479   3489   234789   | d267      2679   2789   |
 |  178      4      2       |  179      6      789      |  3        5      789    |
 |  3        9      678     |  27       5      278      | d267      1      4      |
 +--------------------------+---------------------------+-------------------------+
 |  5678     2      5678    |  4679     1      4679     |  457      3      579    |
 |  9        137    17      |  8        34     5        | c1247    b247    6      |
 |  1567     1357   4       |  23679    39     23679    |  8        79     1579   |
 +--------------------------+---------------------------+-------------------------+

(8=642)r1c468 - r8c8 = r8c7 - (2=674)r346c7 - (4)r3c1 = (24)r12c1 - (246=8)r1c468 => +8 r1c6; lclste
(Note that the first term and the last term are the same ALS)

[Mauriès Robert]

Hi Cenoman,
Your resolution, although written differently, is similar to the one I give on my website, where I also use the ALS from r1.
But I find your journey from an ALS to itself very interesting.
To complete my comment, here is how I will write your AIC path in terms of TDP.
P'(8r1c6) : -8r1c6->(46r1c46->2r1c8)->2r8c7->(67r46c7->4r3c7)->24r12c1->246r1c148->8r1c6 contradiction =>P'(8r1c6) invalid =>r1c6=8.
Sincerely
Robert

[eleven]

(8=642)r1c468 - r8c8 = r8c7 - (2=674)r346c7 - (4)r3c1 = (24)r12c1 - (246=8)r1c468 => +8 r1c6; lclste

Very nice !
I saw, that a missing 8r1c6 would lead to a 18 pair in r1c12 (r1, c9, b9) and a contradicting 1 in r2c9 then, but could not find this chain with the 24 pair.

[Cenoman]

(8=642)r1c468 - r8c8 = r8c7 - (2=674)r346c7 - (4)r3c1 = (24)r12c1 - (246=8)r1c468 => +8 r1c6; lclste

Very nice !
I saw, that a missing 8r1c6 would lead to a 18 pair in r1c12 (r1, c9, b9) and a contradicting 1 in r2c9 then, but could not find this chain with the 24 pair.

Thanks !
The solution I had first was:
Kraken column (4)r123c1
(4)r1c1 - (4=68)r1c46
(4-2)r2c1 = r1c1 - (2=468)r1c468
(4)r3c1 - (4=672)r346c7 - r8c7 = r8c8 - (2=468)r1c468
=> +8 r1c6; lclste

Trying to shift it to an AIC, I'd been blind if I had not seen the 24 AHP

[Mauriès Robert]

Hi Cenoman,
I prefer your resolution with Kraken to the one with AIC because it is like crossing two conjugated tracks P(4r12c1) and P(4r3c1) like this :
P(4r12c1) : 4r12c1->246r1c148->8r1c6
P(4r3c1) : 4r3c1->7r3c7->26r46c7->2r8c8->46r1c48->8r1c6
=> r1c6=8, stte
Which can be spelled, I believe, in the Kraken way:
42r12c1-(246=8)r1c468
4r3c1-(4=7)r3c7-(7=62)r46c7-2r8c7=r8c8-(2=468)r1c468
=> r1c8=8, stte
Robert

[Cenoman]

Hi Cenoman,
I prefer your resolution with Kraken to the one with AIC because it is like crossing two conjugated tracks P(4r12c1) and P(4r3c1) like this :
P(4r12c1) : 4r12c1->246r1c148->8r1c6
P(4r3c1) : 4r3c1->7r3c7->26r46c7->2r8c8->46r1c48->8r1c6
=> r1c6=8, stte
Which can be spelled, I believe, in the Kraken way:
42r12c1-(246=8)r1c468
4r3c1-(4=7)r3c7-(7=62)r46c7-2r8c7=r8c8-(2=468)r1c468
=> r1c8=8, stte
Robert

Hi Robert,
Playing the famous game "des 7 erreurs" between your "kraken" above (with quotation marks because it is de facto just a chain), and my AIC:

(8=642)r1c468 - r8c8 = r8c7 - (2=674)r346c7 - (4)r3c1 = (24)r12c1 - (246=8)r1c468 => +8 r1c6

I can fin only one slight difference: you split my ALS (2=674)r346c7 into (2=67)r46c7 - (7=4)r3c7, but I can't find the second, nor the third, nor... , nor the seventh difference.

[Mauriès Robert]

Hi Cenoman,
No doubt a translation problem, I did not claim to propose a different resolution, but only to say how I expressed it in my own way.
Yours sincerely
Robert