The New Sudoku Players' Forum

[Tapestry]

Here's the original puzzle:

Code: Select all

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

Here's how far I've gotten:

Code: Select all

+---------------------------+
| 29 8 29| 3  67  47| 46 1 5|
| 5  4 1 | 8  69  2 | 69 7 3|
| 7  6 3 | 59 1   45| 49 2 8|
|--------+---------+--------|
| 8  2 5 | 4  3   6 | 7  9 1|
| 3  9 6 | 7  8   1 | 5  4 2|
| 4  1 7 | 25 25  9 | 3  8 6|
|--------+----------+-------|
| 1  7 29| 6  259 58| 28 3 4|
| 6  3 4 | 1  27  78| 28 5 9|
| 29 5 8 | 29 4   3 | 1  6 7|

Thanks

[999_Springs]

There is an XYZ-wing pattern on cells r6c5, r7c5 and r9c4. At least one of these cells must contain the value 2. The XYZ-wing eliminates 2 from any other cell that can see all these three cells, so r8c5<>2 and the puzzle solves with singles.

Code: Select all

+-----------------------------+
| 29 8 29| 3   67   47| 46 1 5|
| 5  4 1 | 8   69   2 | 69 7 3|
| 7  6 3 | 59  1    45| 49 2 8|
|--------+------------+-------|
| 8  2 5 | 4   3    6 | 7  9 1|
| 3  9 6 | 7   8    1 | 5  4 2|
| 4  1 7 | 25  *25  9 | 3  8 6|
|--------+------------+-------|
| 1  7 29| 6   *259 58| 28 3 4|
| 6  3 4 | 1   -27  78| 28 5 9|
| 29 5 8 | *29 4    3 | 1  6 7|
+--------+------------+-------+

[Tapestry]

Thanks - Don't know how I missed that one!

[aran]

Here's the original puzzle:

Code: Select all

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

Here's how far I've gotten:

Code: Select all

+---------------------------+
| 29 8 29| 3  67  47| 46 1 5|
| 5  4 1 | 8  69  2 | 69 7 3|
| 7  6 3 | 59 1   45| 49 2 8|
|--------+---------+--------|
| 8  2 5 | 4  3   6 | 7  9 1|
| 3  9 6 | 7  8   1 | 5  4 2|
| 4  1 7 | 25 25  9 | 3  8 6|
|--------+----------+-------|
| 1  7 29| 6  259 58| 28 3 4|
| 6  3 4 | 1  27  78| 28 5 9|
| 29 5 8 | 29 4   3 | 1  6 7|

Thanks

Or BUG=>r7c5=2

[Tapestry]

Can't believe I missed both XYZ and BUG solutions!

[aran]

Can't believe I missed both XYZ and BUG solutions!

XYZ : can happen.
BUG : inexcusable