- Code: Select all
*-----------*
|6..|...|..1|
|..2|.8.|5..|
|.5.|...|.2.|
|---+---+---|
|.83|.6.|74.|
|41.|2.3|.68|
|.69|.4.|15.|
|---+---+---|
|.2.|...|.8.|
|..8|.9.|2..|
|7..|...|..6|
*-----------*
Play/Print this puzzle online
*-----------*
|6..|...|..1|
|..2|.8.|5..|
|.5.|...|.2.|
|---+---+---|
|.83|.6.|74.|
|41.|2.3|.68|
|.69|.4.|15.|
|---+---+---|
|.2.|...|.8.|
|..8|.9.|2..|
|7..|...|..6|
*-----------*
*--------------------------------------------------------------------*
| 6 379 4 | 579 27 2579 | 8 379 1 |
| 9-3 379 2 | 16 8 16 | 5 379 4 |
| 8 5 1 | 3479 37 479 | 6 2 79 |
*----------------------+----------------------+----------------------|
| 5 8 3 | 19 6 19 | 7 4 2 |
| 4 1 7 | 2 5 3 | 9 6 8 |
| 2 6 9 | 78 4 78 | 1 5 3 |
*----------------------+----------------------+----------------------|
|be139 2 6 | 3457 137 457 | 34 8 cd579 |
| a13 34 8 | 34567 9 4567 | 2 b17 c57 |
| 7 349 5 | 348 123 248 | 34 19 6 |
*--------------------------------------------------------------------*
6 379 4 | 579 27 2579 | 8 379 1
39 379 2 | 16 8 16 | 5 379 4
8 5 1 | 3479 37 479 | 6 2 79
---------------------+----------------------+---------------------
5 8 3 | 19 6 19 | 7 4 2
4 1 7 | 2 5 3 | 9 6 8
2 6 9 | 78 4 78 | 1 5 3
---------------------+----------------------+---------------------
b139 2 6 | 3457 137 457 | 34 8 c579
a13 34 8 | 34567 9 4567 | 2 7-1 57
7 349 5 | 348 123 248 | 34 d19 6
*--------------------------------------------------------------------*
| 6 379 4 | 579 27 2579 | 8 379 1 |
|d9-3 379 2 | 16 8 16 | 5 *37=9 4 |
| 8 5 1 | 3479 37 479 | 6 2 a79 |
|----------------------+----------------------+----------------------|
| 5 8 3 | 19 6 19 | 7 4 2 |
| 4 1 7 | 2 5 3 | 9 6 8 |
| 2 6 9 | 78 4 78 | 1 5 3 |
|----------------------+----------------------+----------------------|
|c139 2 6 | 3457 137 457 | 34 8 b579 |
|*13 34 8 | 34567 9 4567 | 2 *17 57 |
| 7 349 5 | 348 123 248 | 34 19 6 |
*--------------------------------------------------------------------*
tlanglet wrote:AXY-wing (17-3) with pivot (17)r8c8 and pincers (13)r8c1 & (73=9)r2c8 => r2c1<>3
[xy-wing(17-3) => r2c1<>3] = [9r2c8-r3c9=r7c9-r7c1=9r2c1 => r2c1<>3] => r2c1<>3
Another perspective of this logic is the combination of a skyscraper(9) and an xy-wing(17-3)
[skyscraper(9)r8c19 => r2c8<>9] = [xy-wing(17-3)r8c81,r2c8] => r2c1<>3
Ted
*--------------------------------------------------------------------*
| 6 379 4 | 579 27 2579 | 8 379 1 |
| 39 379 2 | 16 8 16 | 5 379 4 |
| 8 5 1 | 3479 37 479 | 6 2 79 |
|----------------------+----------------------+----------------------|
| 5 8 3 | 19 6 19 | 7 4 2 |
| 4 1 7 | 2 5 3 | 9 6 8 |
| 2 6 9 | 78 4 78 | 1 5 3 |
|----------------------+----------------------+----------------------|
|e39-1 2 6 | 3457 a137 457 | 34 8 579 |
| 13 34 8 | 34567 9 4567 | 2 17 57 |
| 7 d349 5 | 348 b123 248 | 34 c19 6 |
*--------------------------------------------------------------------*
S-wing
1r7c5=r9c4-(1=9)r9c8-r9c2=9r9c1 => -1r9c7; ste
SteveG48 wrote:tlanglet wrote:AXY-wing (17-3) with pivot (17)r8c8 and pincers (13)r8c1 & (73=9)r2c8 => r2c1<>3
[xy-wing(17-3) => r2c1<>3] = [9r2c8-r3c9=r7c9-r7c1=9r2c1 => r2c1<>3] => r2c1<>3
Another perspective of this logic is the combination of a skyscraper(9) and an xy-wing(17-3)
[skyscraper(9)r8c19 => r2c8<>9] = [xy-wing(17-3)r8c81,r2c8] => r2c1<>3
Ted
Ted, your logic says -3 (correctly) but your grid says -9.
+-----------+----------------+------------+
| 6 379 4 | 579 27 2579 | 8 379 1 |
| 39 379 2 | 16 8 16 | 5 379 4 |
| 8 5 1 | 3479 37 479 | 6 2 79 |
+-----------+----------------+------------+
| 5 8 3 | 19 6 19 | 7 4 2 |
| 4 1 7 | 2 5 3 | 9 6 8 |
| 2 6 9 | 78 4 78 | 1 5 3 |
+-----------+----------------+------------+
| 139 2 6 | 3457 137 457 | 34 8 579 |
| 13 34 8 | 34567 9 4567 | 2 17 57 |
| 7 349 5 | 348 123 248 | 34 19 6 |
+-----------+----------------+------------+