dailysudoku.com :: View topic - Puzzle 10/02/03 gM-Wing

dailysudoku.com
Discussion of Daily Sudoku puzzles

FAQ

Memberlist

Usergroups

Profile

Puzzle 10/02/03 gM-Wing

dailysudoku.com Forum Index -> Puzzles by daj

View previous topic :: View next topic

Author

Message

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Wed Feb 03, 2010 10:19 pm Post subject: Puzzle 10/02/03 gM-Wing

Something to keep Dan from being bored.

Code:

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

Play this puzzle online at the Daily Sudoku site

arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Thu Feb 04, 2010 1:19 am Post subject:

Danny,
I enjoyed the puzzle. It took two steps and I had problems posting both. Hopefully here is the first step. Had trouble with the code. Maybe someone can show me how to do it.

Code:

*--------------------------------------------------------------------*
| 6 7 1389 | 1589 158 2 | 358 4 1358 |
| 2 4 189 | 1589 3 157 | 568 79 1568 |
| 138 1389 5 | 4 6 17 | 2 79 138 |
|----------------------+----------------------+----------------------|
| 1378 1238 13478 |*125 a15 6 | 9 b18 48-2 |
| 18 5 6 | 1-2 9 4 | 7 3 *28 |
| 9 12 14 | 3 7 8 | 56 15 2456 |
|----------------------+----------------------+----------------------|
| 358 6 2 | 7 4 9 | 1 58 358 |
| 4 1389 1389 | 158 2 135 | 358 6 7 |
| 13578 138 1378 | 6 158 135 | 4 2 9 |
*--------------------------------------------------------------------*
(2=15)r4c4 - (1=8)r4c8 - (8=2)r5c9 => r4c9,r5c4<>2
if r4c4 is not 2 it is 15 making a pair and r4c8 = 8 then r5c9=2
if r5c9 is not 2 then r4c8=5 then r4c5=1 then r4c4=2

arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Thu Feb 04, 2010 1:26 am Post subject:

The second step:

Code:

*-----------------------------------------------------------*
| 6 7 139 | 589 18 2 | 358 4 135 |
| 2 4 19 | 589 3 15 | 568 7 156 |
|*13 8 5 | 4 6 7 | 2 9 13 |
|-------------------+-------------------+-------------------|
| 137 13 1347 | 2 5 6 | 9 18 48 |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 *14 | 3 7 8 | 56 c15 456 |
|-------------------+-------------------+-------------------|
|a35 6 2 | 7 4 9 | 1 b58 358 |
| 4 9 138 | 58 2 135 | 35 6 7 |
| 1357 13 1378 | 6 18 135 | 4 2 9 |
*-----------------------------------------------------------*
(1=3)r3c1 - (3=5)r7c1 - (5)r7c8 = (5-1)r6c8 = (1)r6c3
=> r12c3,r4c1<>1

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Thu Feb 04, 2010 4:35 am Post subject:

Hello Dan,

Well, you found two chains, but neither of them represents a gM-Wing.

My solver needed a few steps to expose the gM-Wing ... which is two candidates across four cells in this pattern.

Code:

gM-Wing: (Y=X)a - (X)b = (X-Y)r = (Y)s

Sorry, but I don't see where you encountered problems with the "Code" feature.

Regards, Danny

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Thu Feb 04, 2010 6:58 am Post subject:

Code:

+--------------------+----------------+-----------------+
| 6 7 1389 | 1589 158 2 | 358 4 1358 |
| 2 4 189 | 1589 3 157 | 568 79 1568 |
| 138 1389 5 | 4 6 17 | 2 79 138 |
+--------------------+----------------+-----------------+
| 1378 1238 13478 | 25-1 5-1 6 | 9 (18) 248 |
| (18) 5 6 | 2(1) 9 4 | 7 3 2(8) |
| 9 12 14 | 3 7 8 | 56 15 2456 |
+--------------------+----------------+-----------------+
| 358 6 2 | 7 4 9 | 1 58 358 |
| 4 1389 1389 | 158 2 135 | 358 6 7 |
| 13578 138 1378 | 6 158 135 | 4 2 9 |
+--------------------+----------------+-----------------+

m-wing: (1=8)r4c8 - (8)r5c9 = (8-1)r5c1 = (1)r5c4; r4c45 <> 1

Code:

+------------------+------------------+--------------+
| 6 7 139 | 589 18 2 | 358 4 135 |
| 2 4 19 | 589 3 15 | 568 7 156 |
| 13 8 5 | 4 6 7 | 2 9 13 |
+------------------+------------------+--------------+
| 137 13 1347 | 2 5 6 | 9 18 48 |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 14 | 3 7 8 | 56 15 456 |
+------------------+------------------+--------------+
| 35 6 2 | 7 4 9 | 1 58 358 |
| 4 9 -3(18) | 58 2 35(1) | 35 6 7 |
| 1357 13 137(8) | 6 (18) 35-1 | 4 2 9 |
+------------------+------------------+--------------+

M-ring: (1=8)r9c5 - (8)r8c4 = (8-1)r8c3 = (1)r8c6;
r8c3 <> 3
r9c6 <> 1

Code:

+-------------------+----------------+----------------+
| 6 7 39(1) | 589 8(1) 2 | 358 4 35(1) |
| 2 4 19 | 589 3 15 | 568 7 156 |
| 13 8 5 | 4 6 7 | 2 9 (13) |
+-------------------+----------------+----------------+
| 137 13 1347 | 2 5 6 | 9 18 48 |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 14 | 3 7 8 | 56 15 456 |
+-------------------+----------------+----------------+
| 5(3) 6 2 | 7 4 9 | 1 58 58(3) |
| 4 9 (18) | 5-8 2 135 | 35 6 7 |
| 1357 (13) 137-8 | 6 (18) 35 | 4 2 9 |
+-------------------+----------------+----------------+

almost w-wing...

[w-wing(18):(8=1)r8c3 - (1)r1c3 = (1)r1c5 - (1=8)r9c5] = (1)r1c9 - (1=3)r3c9 - (3)r7c9 = (3)r7c1 - (3=1)r9c2 - (1=8)r9c5; r8c4 and r9c3 <> 8

also written in diagram form.
one of the 1's in row 1 has to be true.

Code:

{ (1)r1c3 - (1=8)r8c3 }
{ || } <-- w-wing part
{ (1)r1c5 - (1=8)r9c5 }
||
(1)r1c9 - (1=3)r3c9 - (3)r7c9 = (3)r7c1 - (3=1)r9c2 - (1=8)r9c5

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Thu Feb 04, 2010 8:15 am Post subject:

here is three steps entirely made up of almost w-wings.
totally unnecessary. just being silly with this puzzle.

#1...almost w-wing (12)

Code:

+----------------------+----------------+-----------------+
| 6 7 1389 | 1589 158 2 | 358 4 1358 |
| 2 4 189 | 1589 3 157 | 568 79 1568 |
| 138 1389 5 | 4 6 17 | 2 79 138 |
+----------------------+----------------+-----------------+
| 1378 1238 1378(4) | 125 15 6 | 9 18 8(24) |
| 8-1 5 6 | (12) 9 4 | 7 3 8(2) |
| 9 (12) (14) | 3 7 8 | 56 15 456(2) |
+----------------------+----------------+-----------------+
| 358 6 2 | 7 4 9 | 1 58 358 |
| 4 1389 1389 | 158 2 135 | 358 6 7 |
| 13578 138 1378 | 6 158 135 | 4 2 9 |
+----------------------+----------------+-----------------+

[w-wing(12):(1=2)r6c2 - (2)r6c9 = (2)r5c9 - (2=1)r5c4] = (2-4)r4c9 - (4=1)r6c3; r5c1 <> 1

Code:

{ (2)r5c9 - (2=1)r5c4 }
{ || }<-- w-wing
{ (2)r6c9 - (2=1)r6c2 }
||
(2-4)r4c9 = (4)r4c3 - (4=1)r6c3

#2...almost w-wing - (13) with grouped 3's in column 3

Code:

+--------------------+--------------+----------------+
| 6 7 19(3) | 589 18 2 | 358 4 135 |
| 2 4 19 | 589 3 15 | 568 7 156 |
| (13) 8 5 | 4 6 7 | 2 9 13 |
+--------------------+--------------+----------------+
| 37-1 (13) 147(3) | 2 5 6 | 9 8(1) 48 |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 14 | 3 7 8 | 56 (15) 456 |
+--------------------+--------------+----------------+
| (35) 6 2 | 7 4 9 | 1 8(5) 358 |
| 4 9 18(3) | 58 2 135 | 35 6 7 |
| 1357 13 178(3) | 6 18 135 | 4 2 9 |
+--------------------+--------------+----------------+

[w-wing(13):(1=3)r4c2 - (3)r4c3 = (3)r1c3 - (3=1)r3c1] = (3)r89c3 - (3=5)r7c1 - (5)r7c8 = (5-1)r6c8 = (1)r4c8
r4c1 <> 1

Code:

{ (3)r4c3 - (3=1)r4c2 }
{ || }<-- w-wing
{ (3)r1c3 - (3=1)r3c1 }
||
(3)r89c3 - (3=5)r7c1 - (5)r7c8 = (5-1)r6c8 = (1)r4c8

interesting that the chain from the (3)r7c1 to (3)r4c2 would eliminate the 3 in r9c2 and solve the puzzle. but oh well. onward !!

#3...almost w-wing (13) - with grouped 3's in column 3, a tiny bit different.

Code:

+---------------------+----------------+------------------+
| 6 7 19(3) | 589 18 2 | 358 4 135 |
| 2 4 19 | 589 3 15 | 568 7 156 |
| (13) 8 5 | 4 6 7 | 2 9 13 |
+---------------------+----------------+------------------+
| 37 13 17(34) | 2 5 6 | 9 1(8) (48) |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 14 | 3 7 8 | 56 15 456 |
+---------------------+----------------+------------------+
| 35 6 2 | 7 4 9 | 1 (58) 358 |
| 4 9 18(3) | 58 2 15(3) | (35) 6 7 |
| 357-1 (13) 178(3) | 6 18 15(3) | 4 2 9 |
+---------------------+----------------+------------------+

[w-wing(1,3):(1=3)r3c1 - (3)r1c3 = (3)r78c3 - (3=1)r9c2] = (3-4)r4c3 = (4-8)r4c9 = (8-3)r7c9 = (3)r8c7 - (3)r8c6 = (3)r9c6 - (3=1)r9c2; r9c1 <> 1

Code:

{ (3)r1c3 - (3=1)r3c1 }
{ || }<-- w-wing
{ (3)r78c3 - (3=1)r9c2}
||
(3-4)r4c3 = (4-8)r4c9 = (8-3)r7c9 = (3)r8c7 - (3)r8c6 = (3)r9c6 - (3=1)r9c2

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Thu Feb 04, 2010 5:52 pm Post subject:

Yes, there really is a gM-Wing in the solution.

Code:

<28+1> XY-Wing r5c9/r4c8+r5c4 <> 1 r4c45

r37 X-Wing <> 3 r49c1,r1c9

r8c5 2-String Kite <> 1 r1c3

{ 48} -1r9c2 3r9c2 3r3c1 1r2c3 [gM-Wing ] <> 1 r89c3
+--------------------------------------------------------------+
| 6 7 39 | 589 18 2 | 358 4 15 |
| 2 4 19 | 589 3 15 | 568 7 156 |
| 13 8 5 | 4 6 7 | 2 9 13 |
|--------------------+--------------------+--------------------|
| 17 13 1347 | 2 5 6 | 9 18 48 |
| 8 5 6 | 1 9 4 | 7 3 2 |
| 9 2 14 | 3 7 8 | 56 15 456 |
|--------------------+--------------------+--------------------|
| 35 6 2 | 7 4 9 | 1 58 358 |
| 4 9 138 | 58 2 135 | 35 6 7 |
| 157 13 1378 | 6 18 135 | 4 2 9 |
+--------------------------------------------------------------+
# 48 eliminations remain

Display posts from previous:

	dailysudoku.com Forum Index -> Puzzles by daj	All times are GMT
Page 1 of 1

You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum