The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |...|7..|8..|
 |...|1..|.42|
 |5.6|.2.|..9|
 |---+---+---|
 |6..|...|981|
 |...|8.6|...|
 |258|...|..6|
 |---+---+---|
 |1..|.9.|4.8|
 |98.|..1|...|
 |..2|..3|...|
 *-----------*

Play/Print this puzzle online

[SteveG48]

Code: Select all

 *-----------------------------------------------------------*
 |f34    2     1349  | 7   ce346   59    | 8     1356 d35    |
 | 8    a79-3 a79-3  | 1    b36    59    |c56    4     2     |
 | 5     134   6     | 34    2     8     | 37    137   9     |
 *-------------------+-------------------+-------------------|
 | 6     347   347   | 235   357   27    | 9     8     1     |
 | 37    19    19    | 8     37    6     | 25    25    4     |
 | 2     5     8     | 9     1     4     | 37    37    6     |
 *-------------------+-------------------+-------------------|
 | 1     367   357   | 256   9     27    | 4     2356  8     |
 | 9     8     3457  | 2456  457   1     | 256   2356  357   |
 | 47    467   2     | 456   8     3     | 1     9     57    |
 *-----------------------------------------------------------*


Almost XY-wing, but I'll write it this way:

(3)r2c23 - (3=6)r2c5 - r1c5|(6=5)r2c7 - (5=3)r1c9 - (3=4)r1c5 - (4=3)r1c1 => -3 r2c2,r2c3 ; stte

[Leren]

Code: Select all

*--------------------------------------------------------------*
|a34    2     1349   | 7     36-4  59     | 8     1356  35     |
| 8    b379  b379    | 1    c36    59     | 56    4     2      |
| 5     13-4  6      |d34    2     8      | 37    137   9      |
|--------------------+--------------------+--------------------|
| 6     347   347    | 235   357   27     | 9     8     1      |
| 37    19    19     | 8     37    6      | 25    25    4      |
| 2     5     8      | 9     1     4      | 37    37    6      |
|--------------------+--------------------+--------------------|
| 1     367   357    | 256   9     27     | 4     2356  8      |
| 9     8     3457   | 2456  457   1      | 256   2356  357    |
| 47    467   2      | 456   8     3      | 1     9     57     |
*--------------------------------------------------------------*

W Wing: (4=3) r1c1 - r2c23 = r2c5 - (3=4) r3c4 => - 4 r1c5, r3c2; stte

Leren

[tlanglet]

Code: Select all

 *-----------------------------------------------------------*
 | 34    2     1349  | 7     346   59    | 8     1356  35    |
 | 8     379   379   | 1     36    59    | 56    4     2     |
 | 5     134   6     | 34    2     8     |*37   *1-3-7 9     |
 |-------------------+-------------------+-------------------|
 | 6     347   347   | 235   357   27    | 9     8     1     |
 | 37    19    19    | 8     37    6     | 25    25    4     |
 | 2     5     8     | 9     1     4     |*37   *37    6     |
 |-------------------+-------------------+-------------------|
 | 1     367   357   | 256   9     27    | 4     2356  8     |
 | 9     8     3457  | 2456  457   1     | 256   2356  357   |
 | 47    467   2     | 456   8     3     | 1     9     57    |
 *-----------------------------------------------------------*


Type 1 UR(37)r36c78 => r3c8<>37

Ted

[pjb]

Code: Select all

 4-3    2      1349   | 7      346    59     | 8      1356   35     
 8     *379   *379    | 1     *36     59     | 56     4      2     
 5      134    6      | 34     2      8      | 37     137    9     
 ---------------------+----------------------+---------------------
 6      347    347    | 235    357    27     | 9      8      1     
*37     19     19     | 8     *37     6      | 25     25     4     
 2      5      8      | 9      1      4      | 37     37     6     
 ---------------------+----------------------+---------------------
 1      367    357    | 256    9      27     | 4      2356   8     
 9      8      3457   | 2456   457    1      | 256    2356   357   
 47     467    2      | 456    8      3      | 1      9      57     


Sashimi X-Wing of 3s at r2c235, r5c15 => -3 r1c1; stte
(or (3) r5c1 = r5c5 - r2c5 = r23c2)
Phil

[Marty R.]

Code: Select all

+-------------+-------------+--------------+
| 34 2   1349 | 7    346 59 | 8   1356 35  |
| 8  379 379  | 1    36  59 | 56  4    2   |
| 5  134 6    | 34   2   8  | 37  137  9   |
+-------------+-------------+--------------+
| 6  347 347  | 235  357 27 | 9   8    1   |
| 37 19  19   | 8    37  6  | 25  25   4   |
| 2  5   8    | 9    1   4  | 37  37   6   |
+-------------+-------------+--------------+
| 1  367 357  | 256  9   27 | 4   2356 8   |
| 9  8   3457 | 2456 457 1  | 256 2356 357 |
| 47 467 2    | 456  8   3  | 1   9    57  |
+-------------+-------------+--------------+


Play this puzzle online at the Daily Sudoku site

Ordinary XY-Wing (56-3) with transport.

(3=6)r2c5-(6=5)r2c7-(5=3)r1c9-r1c1=3r5c1=>r5c5<>3

[Marty R.]

Code: Select all

*--------------------------------------------------------------*
|a34    2     1349   | 7     36-4  59     | 8     1356  35     |
| 8    b379  b379    | 1    c36    59     | 56    4     2      |
| 5     13-4  6      |d34    2     8      | 37    137   9      |
|--------------------+--------------------+--------------------|
| 6     347   347    | 235   357   27     | 9     8     1      |
| 37    19    19     | 8     37    6      | 25    25    4      |
| 2     5     8      | 9     1     4      | 37    37    6      |
|--------------------+--------------------+--------------------|
| 1     367   357    | 256   9     27     | 4     2356  8      |
| 9     8     3457   | 2456  457   1      | 256   2356  357    |
| 47    467   2      | 456   8     3      | 1     9     57     |
*--------------------------------------------------------------*

W Wing: (4=3) r1c1 - r2c23 = r2c5 - (3=4) r3c4 => - 4 r1c5, r3c2; stte

Leren

Leren,

I'm sure I don't know all there is to know about W-Wings, but I thought you would've had to prove the 3 in r3c4. Obviously you have a nice solution, but I don't recognize it as a W-Wing the way I understand that technique.

[SteveG48]

W Wing: (4=3) r1c1 - r2c23 = r2c5 - (3=4) r3c4 => - 4 r1c5, r3c2; stte

Leren

Leren,

I'm sure I don't know all there is to know about W-Wings, but I thought you would've had to prove the 3 in r3c4. Obviously you have a nice solution, but I don't recognize it as a W-Wing the way I understand that technique.

Marty, this was a new one on me, too, but you can see that it's valid if you look at it a bit. The paired 3's in r2c23 strong link to the single 3 in r2c5 just as well as a single one would have, so it works just like a more conventional W-wing. Dang clever.

[Marty R.]

W Wing: (4=3) r1c1 - r2c23 = r2c5 - (3=4) r3c4 => - 4 r1c5, r3c2; stte

Leren

Leren,

I'm sure I don't know all there is to know about W-Wings, but I thought you would've had to prove the 3 in r3c4. Obviously you have a nice solution, but I don't recognize it as a W-Wing the way I understand that technique.

Marty, this was a new one on me, too, but you can see that it's valid if you look at it a bit. The paired 3's in r2c23 strong link to the single 3 in r2c5 just as well as a single one would have, so it works just like a more conventional W-wing. Dang clever.

That's another one of my "senior moments." My comments don't make any sense. It's a perfectly normal W-Wing with a grouped strong link. I made my comments as if it were an M-Wing. Maybe I got confused because M is an upside-down W.

[SteveG48]

That's another one of my "senior moments." My comments don't make any sense. It's a perfectly normal W-Wing with a grouped strong link. I made my comments as if it were an M-Wing. Maybe I got confused because M is an upside-down W.

You're better than me! . I'd never heard of a grouped W-wing before.

[Marty R.]

That's another one of my "senior moments." My comments don't make any sense. It's a perfectly normal W-Wing with a grouped strong link. I made my comments as if it were an M-Wing. Maybe I got confused because M is an upside-down W.

You're better than me! . I'd never heard of a grouped W-wing before.

I don't think "grouped" modifies the technique; we talk of grouped strong links in which two candidates act as one.