The New Sudoku Players' Forum

by **SteveG48** » Fri Feb 28, 2014 10:08 pm

Here's one that I enjoyed from our local newspaper:

Code: Select all: *-----------* |...|...|...| |89.|...|7.6| |.5.|3.7|.8.| |---+---+---| |..8|53.|...| |...|4.2|..7| |...|.86|2..| |---+---+---| |.3.|..4|...| |6.4|...|.91| |...|.9.|...| *-----------*

by **ArkieTech** » Fri Feb 28, 2014 11:28 pm

Code: Select all: *--------------------------------------------------------------------* | 247 247 267 | 9 46 8 | 35 1 35 | | 8 9 3 |a12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | |----------------------+----------------------+----------------------| | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | |----------------------+----------------------+----------------------| | 12579 3 12579 |a128 c257 4 | 6 27 b58 | | 6 278 4 | 8-2 c27 35 | 35 9 1 | | 1257 1278 1257 | 6 9 135 | 4 27 358 | *--------------------------------------------------------------------* (2=8)r27c4-(8=5)r7c9-(5=27)r78c5 => -2r8c4

by **pjb** » Sat Mar 01, 2014 12:02 am

Code: Select all: 247 247 267 | 9 46 8 | 35 1 35 8 9 3 | 12 25 15 | 7 4 6 14 5 16 | 3 46 7 | 9 8 2 ---------------------+----------------------+--------------------- 27 27 8 | 5 3 9 | 1 6 4 359 6 59 | 4 1 2 | 8 35 7 1345 14 15 | 7 8 6 | 2 35 9 ---------------------+----------------------+--------------------- 12579 3 12579 | 12-8 b257 4 | 6 27 a58 6 278 4 |c28 b27 35 | 35 9 1 1257 1278 1257 | 6 9 135 | 4 27 358

(8=5)r7c9 - (5=27)r78c5 - (2=8)r8c4 => -8 r7c4; stte

Phil

by **Leren** » Sat Mar 01, 2014 12:03 am

Code: Select all: *--------------------------------------------------------------* | 247 247 267 | 9 46 8 | 35 1 35 | | 8 9 3 | 12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | |--------------------+--------------------+--------------------| | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | |--------------------+--------------------+--------------------| | 12579 3 12579 | 12-8 a257 4 | 6 27 b58 | | 6 278 4 |c28 d27 35 | 35 9 1 | | 1257 1278 1257 | 6 9 135 | 4 27 358 | *--------------------------------------------------------------*

WXY-Z Wing {257-8}; Pivot Cell r7c5; Pincer Cells r7c9, r8c4 & r8c5 => - 8 r7c4; stte

Leren

by **JC Van Hay** » Sat Mar 01, 2014 12:09 am

Code: Select all: +--------------------+--------------------+---------------+ | 247 247 267 | 9 46 8 | 35 1 35 | | 8 9 3 | 12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | +--------------------+--------------------+---------------+ | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | +--------------------+--------------------+---------------+ | 12579 3 12579 | 2-8(1) 257 4 | 6 27 5(8) | | 6 278 4 | 28 27 35 | 35 9 1 | | 1257 1278 1257 | 6 9 5(13) | 4 27 5(38) | +--------------------+--------------------+---------------+

L3Wing[1r7c4.r9c6,3r9c69,8r97c9]-8r7c4; ste

by **Marty R.** » Sat Mar 01, 2014 3:51 am

pjb wrote:
Code: Select all
247 247 267 | 9 46 8 | 35 1 35 8 9 3 | 12 25 15 | 7 4 6 14 5 16 | 3 46 7 | 9 8 2 ---------------------+----------------------+--------------------- 27 27 8 | 5 3 9 | 1 6 4 359 6 59 | 4 1 2 | 8 35 7 1345 14 15 | 7 8 6 | 2 35 9 ---------------------+----------------------+--------------------- 12579 3 12579 | 12-8 b257 4 | 6 27 a58 6 278 4 |c28 b27 35 | 35 9 1 1257 1278 1257 | 6 9 135 | 4 27 358

(8=5)r7c9 - (5=27)r78c5 - (2=8)r8c4 => -8 r7c4; stte

Phil

Same thing with minor difference in path.

by **SteveG48** » Sat Mar 01, 2014 2:24 pm

Code: Select all: *--------------------------------------------------------------------* | 247 247 267 | 9 46 8 |*35 1 *35 | | 8 9 3 | 12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | *----------------------+----------------------+----------------------| | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | *----------------------+----------------------+----------------------| |a12579 3 a12579 | 28-1 a257 4 | 6 a27 b58 | | 6 278 4 | 28 27 *35 |*35 9 1 | | 1257 1278 1257 | 6 9 *d135 | 4 27 *c358 | *--------------------------------------------------------------------*

It was the DP that caught my attention on this one.

(1=2579)r7c1358 - (5=8)r7c9 - (8)r9c9 = (1)r9c6:{DP 3/5 r1c79,r8c67,r9c69} => -1 r7c4 ; stte

by **Marty R.** » Sat Mar 01, 2014 5:32 pm

SteveG48 wrote:
Code: Select all
*--------------------------------------------------------------------* | 247 247 267 | 9 46 8 |*35 1 *35 | | 8 9 3 | 12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | *----------------------+----------------------+----------------------| | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | *----------------------+----------------------+----------------------| |a12579 3 a12579 | 28-1 a257 4 | 6 a27 b58 | | 6 278 4 | 28 27 *35 |*35 9 1 | | 1257 1278 1257 | 6 9 *d135 | 4 27 *c358 | *--------------------------------------------------------------------*

It was the DP that caught my attention on this one.

(1=2579)r7c1358 - (5=8)r7c9 - (8)r9c9 = (1)r9c6:{DP 3/5 r1c79,r8c67,r9c69} => -1 r7c4 ; stte

Good eye Steve, I wouldn't have been able to spot the DP, but I tried monkeying around with some alternate notation.

DP 35 r1c79,r8c67,r9c69: (1r9c6=8r9c9)-r7c9=(8-1)r7c4=1r2c4=>r7c4<>1

by **daj95376** » Sat Mar 01, 2014 5:49 pm

Leren wrote:
Code: Select all
*--------------------------------------------------------------* | 247 247 267 | 9 46 8 | 35 1 35 | | 8 9 3 | 12 25 15 | 7 4 6 | | 14 5 16 | 3 46 7 | 9 8 2 | |--------------------+--------------------+--------------------| | 27 27 8 | 5 3 9 | 1 6 4 | | 359 6 59 | 4 1 2 | 8 35 7 | | 1345 14 15 | 7 8 6 | 2 35 9 | |--------------------+--------------------+--------------------| | 12579 3 12579 | 12-8 a257 4 | 6 27 b58 | | 6 278 4 |c28 d27 35 | 35 9 1 | | 1257 1278 1257 | 6 9 135 | 4 27 358 | *--------------------------------------------------------------*

WXY-Z Wing {257-8}; Pivot Cell r7c5; Pincer Cells r7c9, r8c4 & r8c5 => - 8 r7c4; stte

Hmmm! I have a problem with you calling it a WXYZ-Wing because I was under the impression that the WXYZ part represented the candidates in the vertex/pivot cell. Since r7c5 has only three candidates, I'm guessing that your solution is some form of XYZ-Wing. Just not sure how it qualifies.

For XY/XYZ/WXYZ/etc-Wings, I'm in the habit of treating the vertex/pivot cell as a Kraken cell that's restricted to WL+SL+WL for each candidate. In this case, that would translate into:

Code: Select all: (2)r7c5 - (2= 8)r8c4 - (8)r7c4 (5)r7c5 - (5= 8)r7c9 - (8)r7c4 (7)r7c5 - (7=28)r8c45 - (8)r7c4

by **SteveG48** » Sat Mar 01, 2014 7:35 pm

Marty R. wrote:Good eye Steve, I wouldn't have been able to spot the DP, but I tried monkeying around with some alternate notation.

DP 35 r1c79,r8c67,r9c69: (1r9c6=8r9c9)-r7c9=(8-1)r7c4=1r2c4=>r7c4<>1

Thanks, Marty. Actually, I like what you've done better than mine. I think you can stop after (8-1)r7c4. That gives you the implication of r7c4<>1 without the extra step.

by **Leren** » Sat Mar 01, 2014 8:09 pm

daj 95376 wrote: I was under the impression that the WXYZ part represented the candidates in the vertex/pivot cell.

According to this post by StrmCkr many types of WXYZ wing can have less than 4 candidates in the pivot cell. http://forum.enjoysudoku.com/post200488.html?hilit=wxyz%20wing#p200488

In his classification scheme, the move in this puzzle would be a Type 2b with w = 5, x = 2, y = 7 and z = 8. Certainly if both 8's are false => no candidates in the pivot cell

Leren

by **daj95376** » Sun Mar 02, 2014 3:05 am

_

mea culpa! I can't seem to let go of the simplest definition format of a WXYZ-Wing shown in Sudopedia.

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