The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |.15|6..|...|
 |...|.35|..2|
 |.6.|...|758|
 |---+---+---|
 |.2.|4..|...|
 |..7|...|9..|
 |...|..3|.8.|
 |---+---+---|
 |278|...|.1.|
 |4..|56.|...|
 |...|..1|84.|
 *-----------*


Play/Print this puzzle online

[pjb]

Another continuous loop:

Code: Select all

g78      1       5      | 6      278   a27     | 34     39     349   
 789    f489     49     | 78     3      5      | 1      6      2     
 3       6       2      | 19     149    49     | 7      5      8     
------------------------+----------------------+---------------------
 15689   2      d369    | 4      15789 b67     | 356   c37     13567 
 1568   e3458    7      | 128    1258   26     | 9      23     13456 
 1569    459     469    | 1279   12579  3      | 2456   8      14567 
------------------------+----------------------+---------------------
 2       7       8      | 3      49     49     | 56     1      56     
 4       39      1      | 5      6      8      | 23     2379   379   
 569     359     369    | 27     27     1      | 8      4      39     


(7)r1c6 = r4c6 - (7=3)r4c8 - r4c3 = (3-8)r5c2 = r2c2 - (8=7)r1c1 - loop => -7 r4c59, -3 r4c79, -8 r2c1, -7 r1c5, -4 r5c2, -5 r5c2; stte

Phil

[Leren]

Code: Select all

*--------------------------------------------------------------*
| 78    1     5      | 6     278   27     | 34   a39   b349    |
| 789   489   49     | 78    3     5      | 1     6     2      |
| 3     6     2      | 19    149   49     | 7     5     8      |
|--------------------+--------------------+--------------------|
| 15689 2     369    | 4     15789 67     | 356   7-3   13567  |
|c1568  3458  7      |c128  c1258 c26     | 9   ca23   c13456  |
| 1569  459   469    | 1279  12579 3      | 2456  8     14567  |
|--------------------+--------------------+--------------------|
| 2     7     8      | 3     49    49     | 56    1     56     |
| 4     39    1      | 5     6     8      | 23   a2379 b379    |
| 569   359   369    | 27    27    1      | 8     4    b39     |
*--------------------------------------------------------------*

ALS XY Wing: (3=7) r158c8 - (7=4) r189c9 - (4=3) r5c145689 => - 3 r4c8; stte

Leren

[SteveG48]

Code: Select all

 *--------------------------------------------------------------------*
 | 78     1      5      | 6      278    27     | 34     39     349    |
 | 789    489    49     | 78     3      5      | 1      6      2      |
 | 3      6      2      | 19     149    49     | 7      5      8      |
 *----------------------+----------------------+----------------------|
 | 15689  2      369    | 4      15789 b67     |c356   b37     13567  |
 |a1568   3458   7      |a128   a1258  a26     | 9      3-2   b13456  |
 | 1569   459    469    | 1279   12579  3      |c2456   8      14567  |
 *----------------------+----------------------+----------------------|
 | 2      7      8      | 3      49     49     |c56     1      56     |
 | 4      39     1      | 5      6      8      | 23     2379   379    |
 | 569    359    369    | 27     27     1      | 8      4      39     |
 *--------------------------------------------------------------------*


I'm not sure what I think about this one, but I think it relates to the discussion DonM was having about Marty's solution the other day.

(2=1568)r5c1456) - (156=374)r4c68,r5c9 - (34=256)r468c7 => -2 r5c8 ; stte

[bat999]

Code: Select all

.--------------------.-----------------.-----------------------.
| 78      1      5   | 6     278    27 | 34     39     e349    |
| 789     489    49  | 78    3      5  | 1      6       2      |
| 3       6      2   | 19    149    49 | 7      5       8      |
:--------------------+-----------------+-----------------------:
| 15689   2     b369 | 4     15789  67 | 356   a37      1356-7 |
| 1568   c3458   7   | 128   1258   26 | 9      23     d13456  |
| 1569    459    469 | 1279  12579  3  | 2456   8       1456-7 |
:--------------------+-----------------+-----------------------:
| 2       7      8   | 3     49     49 | 56     1       56     |
| 4       39     1   | 5     6      8  | 23     239-7  e379    |
| 569     359    369 | 27    27     1  | 8      4      e39     |
'--------------------'-----------------'-----------------------'

(7=3)r4c8 - r4c3 = (3-4)r5c2 = r5c9 - (4=7)r189c9 => -7 r46c9,r8c8; stte

[DonM]

Code: Select all

 *--------------------------------------------------------------------*
 | 78     1      5      | 6      278    27     | 34     39     349    |
 | 789    489    49     | 78     3      5      | 1      6      2      |
 | 3      6      2      | 19     149    49     | 7      5      8      |
 *----------------------+----------------------+----------------------|
 | 15689  2      369    | 4      15789 b67     |c356   b37     13567  |
 |a1568   3458   7      |a128   a1258  a26     | 9      3-2   b13456  |
 | 1569   459    469    | 1279   12579  3      |c2456   8      14567  |
 *----------------------+----------------------+----------------------|
 | 2      7      8      | 3      49     49     |c56     1      56     |
 | 4      39     1      | 5      6      8      | 23     2379   379    |
 | 569    359    369    | 27     27     1      | 8      4      39     |
 *--------------------------------------------------------------------*


I'm not sure what I think about this one, but I think it relates to the discussion DonM was having about Marty's solution the other day.

(2=1568)r5c1456) - (156=374)r4c68,r5c9 - (34=256)r468c7 => -2 r5c8 ; stte

Steve, unless I am missing something (which is always possible), this doesn't work because the 6 (of the first set) in r5c1 does not 'see' the 6 (of the middle set) in r4c6. That would leave 6,7 in r4c6, 3,7 in r4c8 and 3,4 in r5c9.

BTW, I like the way you have been plumbing the depths of all things ALS in your latest solutions. (Some of them have been very clever- one recently used an overlapping cell, something that is not easy to find.) I did the same thing several years ago preceding my Advanced ALS Chains thread that Luke referenced above.

[SteveG48]

Code: Select all

 *--------------------------------------------------------------------*
 | 78     1      5      | 6      278    27     | 34     39     349    |
 | 789    489    49     | 78     3      5      | 1      6      2      |
 | 3      6      2      | 19     149    49     | 7      5      8      |
 *----------------------+----------------------+----------------------|
 | 15689  2      369    | 4      15789 b67     |c356   b37     13567  |
 |a1568   3458   7      |a128   a1258  a26     | 9      3-2   b13456  |
 | 1569   459    469    | 1279   12579  3      |c2456   8      14567  |
 *----------------------+----------------------+----------------------|
 | 2      7      8      | 3      49     49     |c56     1      56     |
 | 4      39     1      | 5      6      8      | 23     2379   379    |
 | 569    359    369    | 27     27     1      | 8      4      39     |
 *--------------------------------------------------------------------*


I'm not sure what I think about this one, but I think it relates to the discussion DonM was having about Marty's solution the other day.

(2=1568)r5c1456) - (156=374)r4c68,r5c9 - (34=256)r468c7 => -2 r5c8 ; stte

Steve, unless I am missing something (which is always possible), this doesn't work because the 6 (of the first set) in r5c1 does not 'see' the 6 (of the middle set) in r4c6. That would leave 6,7 in r4c6, 3,7 in r4c8 and 3,4 in r5c9.

BTW, I like the way you have been plumbing the depths of all things ALS in your latest solutions. (Some of them have been very clever- one recently used an overlapping cell, something that is not easy to find.) I did the same thing several years ago preceding my Advanced ALS Chains thread that Luke referenced above.

Thanks, Don. I've enjoyed the discussions that you, DAJ, DPB, and others have had on various ALS solutions. With regard to your concern on this one, with 2's eliminated from the first set, the 6 has to be in r5c6, not r5c1, so it sees both r4c6 and r5c9.

[DonM]

Code: Select all

 *--------------------------------------------------------------------*
 | 78     1      5      | 6      278    27     | 34     39     349    |
 | 789    489    49     | 78     3      5      | 1      6      2      |
 | 3      6      2      | 19     149    49     | 7      5      8      |
 *----------------------+----------------------+----------------------|
 | 15689  2      369    | 4      15789 b67     |c356   b37     13567  |
 |a1568   3458   7      |a128   a1258  a26     | 9      3-2   b13456  |
 | 1569   459    469    | 1279   12579  3      |c2456   8      14567  |
 *----------------------+----------------------+----------------------|
 | 2      7      8      | 3      49     49     |c56     1      56     |
 | 4      39     1      | 5      6      8      | 23     2379   379    |
 | 569    359    369    | 27     27     1      | 8      4      39     |
 *--------------------------------------------------------------------*


I'm not sure what I think about this one, but I think it relates to the discussion DonM was having about Marty's solution the other day.

(2=1568)r5c1456) - (156=374)r4c68,r5c9 - (34=256)r468c7 => -2 r5c8 ; stte

Steve, unless I am missing something (which is always possible), this doesn't work because the 6 (of the first set) in r5c1 does not 'see' the 6 (of the middle set) in r4c6. That would leave 6,7 in r4c6, 3,7 in r4c8 and 3,4 in r5c9.

BTW, I like the way you have been plumbing the depths of all things ALS in your latest solutions. (Some of them have been very clever- one recently used an overlapping cell, something that is not easy to find.) I did the same thing several years ago preceding my Advanced ALS Chains thread that Luke referenced above.

Thanks, Don. I've enjoyed the discussions that you, DAJ, DPB, and others have had on various ALS solutions. With regard to your concern on this one, with 2's eliminated from the first set, the 6 has to be in r5c6, not r5c1, so it sees both r4c6 and r5c9.

And so it does. Very nice!
Don

[blue]

Code: Select all

+-------------------+---------------------+----------------------+
| 78      1     5   | 6      278     27   | 34    39     (349)   |
| 789     489   49  | 78     3       5    | 1     6      2       |
| 3       6     2   | 19     149     49   | 7     5      8       |
+-------------------+---------------------+----------------------+
| 15689   2     369 | 4      15789   67   | 356   (37)   1356-7  |
| (1568)  3458  7   | (128)  (1258)  (26) | 9     (23)   (13456) |
| 1569    459   469 | 1279   12579   3    | 2456  8      1456-7  |
+-------------------+---------------------+----------------------+
| 2       7     8   | 3      49      49   | 56    1      56      |
| 4       39    1   | 5      6       8    | 23    239-7  (379)   |
| 569     359   369 | 27     27      1    | 8     4      (39)    |
+-------------------+---------------------+----------------------+

I'm not sure what I think about this one, but I think it relates to the discussion DonM was having about Marty's solution the other day.

(...)

In a similar vein, except that I'm sure I don't like it ...

(7=4)r4c8,r5c145689 - (4=7)r189c9 => -7r8c8,-7r46c9; stte

--

P.S. Deja vu all over again: ... something related to the above, using strongly linked ALS's

3479r1589c9 = 12568r5c14569 - (2=37)r45c8 => -7r8c8,-37r4c9,-7r6c9; stte

[ronk]

P.S. Deja vu all over again: ... something related to the above, using strongly linked ALS's

3479r1589c9 = 12568r5c14569 - (2=37)r45c8 => -7r8c8,-37r4c9,-7r6c9; stte

I definitely like this

[eleven]

3479r1589c9 = 12568r5c14569 - (2=37)r45c8 => -7r8c8,-37r4c9,-7r6c9; stte

Short version
3479r1589c9 = 347r4c8,r5c28 => -7r8c8,-37r4c9,-7r6c9

[ronk]

3479r1589c9 = 12568r5c14569 - (2=37)r45c8 => -7r8c8,-37r4c9,-7r6c9; stte

Short version
3479r1589c9 = 347r4c8,r5c28 => -7r8c8,-37r4c9,-7r6c9

It appears you are using als:3479r189c9, ahs:34r5c289 and als:37r4c8 for this AIC.

(379=4)r189c9 - (hp34)r5c29 = (3)r5c8* - (3=7)r4c8 ==> r8c8, r46c9 <> 7; r4c9* <> 3

With this as a start however, I cannot see how you are "compressing" it to a single strong link. An ALS/AHS mix does not compress as easily as an all ALS collection.

edit: changed to hidden-pair notation