The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |.8.|.3.|2..|
 |.3.|..2|...|
 |.27|.84|.1.|
 |---+---+---|
 |67.|...|..8|
 |39.|...|.74|
 |8..|...|.92|
 |---+---+---|
 |.1.|76.|48.|
 |...|4..|.3.|
 |..5|.1.|.2.|
 *-----------*


Play/Print this puzzle online

[Leren]

Code: Select all

*--------------------------------------------------------------------------------*
| 14      8       69       | 159     3       17       | 2       46      57       |
| 14      3       69       | 159     79      2        | 8       46      57       |
| 5       2       7        | 6       8       4        | 9       1       3        |
|--------------------------+--------------------------+--------------------------|
| 6       7       2-4      |c29     a49      13       | 13      5       8        |
| 3       9       12       |c28      5       68       | 16      7       4        |
| 8       5      b14       |c13      -47     67       | 136     9       2        |
|--------------------------+--------------------------+--------------------------|
| 2       1       3        | 7       6       5        | 4       8       9        |
| 7       6       8        | 4       2       9        | 5       3       1        |
| 9       4       5        |c38      1       38       | 7       2       6        |
*--------------------------------------------------------------------------------*

ALS XY Wing (4=9)r4c5 - r4c4 = 1r6c4 (ALS r4569c4) -(1=4)r6c3 => r4c3, r6c5 <4>

Leren

[Leren]

Code: Select all

*--------------------------------------------------------------------------------*
| 14      8       69       | 159     3      a17       | 2       46      57       |
| 14      3       69       | 159     79      2        | 8       46      57       |
| 5       2       7        | 6       8       4        | 9       1       3        |
|--------------------------+--------------------------+--------------------------|
| 6       7       24       | 29      49     b13       |c13      5       8        |
| 3       9       12       | 28      5      e68       |d16      7       4        |
| 8       5       14       | 13      47     f6-7      | 136     9       2        |
|--------------------------+--------------------------+--------------------------|
| 2       1       3        | 7       6       5        | 4       8       9        |
| 7       6       8        | 4       2       9        | 5       3       1        |
| 9       4       5        | 38      1       38       | 7       2       6        |
*--------------------------------------------------------------------------------*

Another one stepper: Extended S Wing (7=1) r1c6 - r4c6 = r4c7 - (1=6) r5c7 - r5c6 = r6c6 => r6c6<7>

Leren

[ArkieTech]

Code: Select all

 *--------------------------------------------------*
 | 14   8    69   | 159  3    17   | 2    46   57   |
 | 14   3    69   | 159  79   2    | 8    46   57   |
 | 5    2    7    | 6    8    4    | 9    1    3    |
 |----------------+----------------+----------------|
 | 6    7    24   | 29   49   13   | 13   5    8    |
 | 3    9   a12   |b28   5    68   | 16   7    4    |
 | 8    5    4-1  |d13   47   67   | 136  9    2    |
 |----------------+----------------+----------------|
 | 2    1    3    | 7    6    5    | 4    8    9    |
 | 7    6    8    | 4    2    9    | 5    3    1    |
 | 9    4    5    |c38   1    38   | 7    2    6    |
 *--------------------------------------------------*
xy-chain
(1=2)r5c3-(2=8)r5c4-(8=3)r9c4-(3=1)r6c4 => -1r6c3; stte

and a short chain....

[Marty R.]

xy-chain

Also XY-Chain; I noticed a few different ones.

[tlanglet]

Hi all. Been traveling and had a great time but it is great to be home working on sudoku.

Almost MUG (1469)r12c1348 with external SIS r1c6=1 & r4c4=9
2r4c3=(2-1)r5c3=r5c7-r4c7=r4c6-AMUG(1469)r12c1348[1r1c6=9r4c4] => r4c4<>2

[David P Bird]

Hi all. Been traveling and had a great time but it is great to be home working on sudoku.

Almost MUG (1469)r12c1348 with external SIS r1c6=1 & r4c4=9
2r4c3=(2-1)r5c3=r5c7-r4c7=r4c6-AMUG(1469)r12c1348[1r1c6=9r4c4] => r4c4<>2

Firstly it seems you omitted a final – (9=4)r4c5 in your chain.

Secondly the threatened MUG (1469)r12c1348, like < Marty's Almost UR >, poses no threat because (5)r12c4 must be true. Any inference available by looking at other ways to avoid it will always be available much more simply, without needing to check out an 8 cell pattern!

Following your chain up to the extended MUG, the way I see it concluding is:

(2)r4c3 = (2-1)r5c3 = (1)r5c7 – (1)r4c7 = (1)r4c6 – (1=7)r1c6 – (7=9)r2c5 - (9=4)r4c5 => r4c3 <> 4

[Edit] final elimination corrected following Leren's response.

[Leren]

David P Bird wrote: (2)r4c3 = (2-1)r5c3 = (1)r5c7 – (1)r4c7 = (1)r4c6 – (1=7)r1c6 – (7=9)r2c5 - (9=4)r4c5 => r4c3 <> 2

David, I think you meant to end your move with something like .... - (9=4)r4c5 = (9-2) r4c4 => r4c4 <> 2

Leren

[David P Bird]

David P Bird wrote: (2)r4c3 = (2-1)r5c3 = (1)r5c7 – (1)r4c7 = (1)r4c6 – (1=7)r1c6 – (7=9)r2c5 - (9=4)r4c5 => r4c3 <> 2

David, I think you meant to end your move with something like .... - (9=4)r4c5 = (9-2) r4c4 => r4c4 <> 2

Thanks for pointing out my error, but my typo was the elimination. The one I had in mind which was r4c3 <> 4 which achieves the same effect.

[tlanglet]

David, thanks for your feedback. I always appreciate the effort by others to add to my knowledge base.

I do not follow your comment about a missing node in my AIC. My leading statement is that r4c3=2 and I end with r4c4=9 from which I conclude that r4c4<>2. To me, your additional node simply changes the deletion to r3c4<>4. Is it possible that you misread my deletion notation? Also,I did not end my AIC with the adjustment noted by Leren since it is my simple-minded understanding that an AIC starts and ends with a strong link even though I think the alteration adds clarity.

I agree with your second comment about an alternate solution but it is my understanding that my solution is valid. I initially noticed the potential MUG and when I found a solution, I posted it which is my tendency even if alternate, maybe simpler solutions are possible.

[Luke]

Ted, your pattern is a BUG-Lite, not a MUG. No matter what it's called, the only outs worth considering are the 5s locked in box 2. There's nothing more this pattern can tell you other than one 5 is true, and that's something already known.

[David P Bird]

David, thanks for your feedback. I always appreciate the effort by others to add to my knowledge base.

I do not follow your comment about a missing node in my AIC. My leading statement is that r4c3=2 and I end with r4c4=9 from which I conclude that r4c4<>2. To me, your additional node simply changes the deletion to r3c4<>4. Is it possible that you misread my deletion notation?

Sorry. yes I'm afraid I did – I was comparing different solutions at the time and got my wires crossed.