- Code: Select all
*-----------*
|...|3..|...|
|.6.|...|.54|
|..1|4..|.63|
|---+---+---|
|8..|...|27.|
|...|.5.|...|
|.17|...|..8|
|---+---+---|
|75.|..2|1..|
|49.|...|.3.|
|...|..6|...|
*-----------*
Play/Print this puzzle online
AU Tough May 5, 2013
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AU Tough May 5, 2013
by ArkieTech » Tue May 07, 2013 12:55 am
Play/Print this puzzle online
dan
-
ArkieTech - Posts: 3355
- Joined: 29 May 2006
- Location: NW Arkansas USA
Re: AU Tough May 5, 2013
by Leren » Tue May 07, 2013 1:12 am
- Code: Select all
*-----------------------------------------------------------------------*
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|-----------------------+-----------------------+-----------------------|
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 346-5 49 8 |
|-----------------------+-----------------------+-----------------------|
| 7 5 36-8 |b89 34 2 | 1 a489 a69 |
| 4 9 268 | 1578 178 178 |c56 3 27-56 |
| 1 238 238 | 5789 34 6 |c45 289-4 279-5 |
*-----------------------------------------------------------------------*
Sue de Coq: r7c89(4689), r7c4(89), r89c7(456) => -5 r6c7, -8 r7c3, -56 r8c9, -4 r9c8, -5 r9c9; stte
Leren
- Leren
- Posts: 5118
- Joined: 03 June 2012
Re: AU Tough May 5, 2013
by Leren » Tue May 07, 2013 4:02 am
- Code: Select all
*-----------------------------------------------------------------------*
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|-----------------------+-----------------------+-----------------------|
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 346-5 49 8 |
|-----------------------+-----------------------+-----------------------|
| 7 5 368 | 89 34 2 | 1 48-9 a69 |
| 4 9 268 | 1578 178 178 |b56 3 27-56 |
| 1 c238 c238 | 579-8 c34 6 |c45 c2489 7-259 |
*-----------------------------------------------------------------------*
als xy-wing loop: (9=6) r7c9 - (6=5) r8c7 - (5=9) r9c23578 loop => -5 r6c7, -9 r7c8, -56 r8c9, -8 r9c4, -259 r9c9; stte
Leren
- Leren
- Posts: 5118
- Joined: 03 June 2012
Re: AU Tough May 5, 2013
by Leren » Tue May 07, 2013 4:13 am
- Code: Select all
*-----------------------------------------------------------------------*
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|-----------------------+-----------------------+-----------------------|
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 3456 49 8 |
|-----------------------+-----------------------+-----------------------|
| 7 5 368 |b89 34 2 | 1 48-9 a69 |
| 4 9 268 |d1578 178 178 |e56 3 27-56 |
| 1 238 238 |c59-78 34 6 | 45 2489 2579 |
*-----------------------------------------------------------------------*
Purple Cow linked xy-wing loop: (6=9) r7c9 - r7c4 = (9-5) r9c4 = r8c4 - (5=6) r8c7 loop => -9 r7c8, -56 r8c9, -78 r9c4; stte
Leren
- Leren
- Posts: 5118
- Joined: 03 June 2012
Re: AU Tough May 5, 2013
by pjb » Tue May 07, 2013 5:30 am
Another loop:
(3) r7c5 = (3-6) r7c3 = r7c9 - (6=5) r8c7 - (5=4) r9c7 - (4=3) r9c5 - (4=3) r7c5 - loop: -56r8c9, -5r6c7, -5r9c9, -4r9c8, -8r7c3; stte
Phil
- Code: Select all
59 478 4589 | 3 6 5789 | 789 12 12
239 6 2389 | 1278 1278 1789 | 789 5 4
259 278 1 | 4 278 5789 | 789 6 3
---------------------+----------------------+---------------------
8 34 59 | 16 19 34 | 2 7 569
2369 234 2349 | 78 5 78 | 346 149 169
3569 1 7 | 26 29 34 | 346-5 49 8
---------------------+----------------------+---------------------
7 5 b36-8 | 89 a34 2 | 1 489 c69
4 9 268 | 1578 178 178 |d56 3 27-56
1 238 238 | 5789 f34 6 |e45 289-4 279-5
(3) r7c5 = (3-6) r7c3 = r7c9 - (6=5) r8c7 - (5=4) r9c7 - (4=3) r9c5 - (4=3) r7c5 - loop: -56r8c9, -5r6c7, -5r9c9, -4r9c8, -8r7c3; stte
Phil
- pjb
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Re: AU Tough May 5, 2013
by daj95376 » Tue May 07, 2013 6:06 am
Just because I enjoy seeing URs contribute to a solution.
- Code: Select all
Mike Barker's UR+3U/2SL: the strong links are disjoint with different labels => "a" can be removed from "abY"
ab-----abX
a
b
abY-----abZ
- Code: Select all
<89> bivalue in r7c4; SL on <9> in [c4]; SL on [8] in [c8]
r7c8=9 -> ( r9c8=8, r7c4=8 ) -> r9c4=9 => UR contradiction
+--------------------------------------------------------------+
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|--------------------+--------------------+--------------------|
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 3456 49 8 |
|--------------------+--------------------+--------------------|
| 7 5 368 | *89 34 2 | 1 *489 69 |
| 4 9 268 | 1578 178 178 | 56 3 2567 |
| 1 238 238 | *5789 34 6 | 45 *2489 2579 |
+--------------------------------------------------------------+
# 108 eliminations remain
r79c48 <89> UR via s-link <> 9 r7c8
- Code: Select all
+--------------------------------------------------------------+
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|--------------------+--------------------+--------------------|
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 3456 49 8 |
|--------------------+--------------------+--------------------|
| 7 5 368 | a89 34 2 | 1 e48 b69 |
| 4 9 268 | 1578 178 178 | c56 3 2567 |
| 1 238 238 | 5789 34 6 | d45 2489 2579 |
+--------------------------------------------------------------+
# 107 eliminations remain
XY-Loop: (8=8)r7c49,r89c7,r7c8 - loop => r8c9<>56; r9c8<>4; r6c7,r9c9<>5; r7c3<>8
- daj95376
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- Joined: 15 May 2006
Re: AU Tough May 5, 2013
by Leren » Tue May 07, 2013 7:07 am
- Code: Select all
*-----------------------------------------------------------------------*
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
|-----------------------+-----------------------+-----------------------|
| 8 34 59 |b16 19 34 | 2 7 c569 |
| 2369 234 2349 | 78 5 78 | 346 19-4 19-6 |
| 3569 1 7 |a26 e29 34 | 3456 e49 8 |
|-----------------------+-----------------------+-----------------------|
| 7 5 368 |d89 34 2 | 1 d489 d69 |
| 4 9 268 | 1578 178 178 | 56 3 257-6 |
| 1 238 238 | 5789 34 6 | 45 289-4 2579 |
*-----------------------------------------------------------------------*
Would you believe another loop ? : (2=6) r6c4 - r4c4 = r4c9 - (6=4) r7c489 - (4=2) r6c58 loop => -4 r59c8, -6 r58c9; lclste
A question for the experts: both Phil's and Danny's loops make the same eliminations as the Sue de Coq. Is this a co-incidence or
is there some deep connection between loops and Sue de Coqs ?
Leren
- Leren
- Posts: 5118
- Joined: 03 June 2012
Re: AU Tough May 5, 2013
by Marty R. » Tue May 07, 2013 6:47 pm
- Code: Select all
+---------------+----------------+----------------+
| 59 478 4589 | 3 6 5789 | 789 12 12 |
| 239 6 2389 | 1278 1278 1789 | 789 5 4 |
| 259 278 1 | 4 278 5789 | 789 6 3 |
+---------------+----------------+----------------+
| 8 34 59 | 16 19 34 | 2 7 569 |
| 2369 234 2349 | 78 5 78 | 346 149 169 |
| 3569 1 7 | 26 29 34 | 3456 49 8 |
+---------------+----------------+----------------+
| 7 5 368 | 89 34 2 | 1 489 69 |
| 4 9 268 | 1578 178 178 | 56 3 2567 |
| 1 238 238 | 5789 34 6 | 45 2489 2579 |
+---------------+----------------+----------------+
Play this puzzle online at the Daily Sudoku site
Some sort of loop.
(5=4)r9c7-r9c5=r7c5-(489=6)r7c489-(6=5)r8c7=>r6c7<>5
Or something a little shorter.
(5=4)r9c7-(489=6)r7c489-(6=5)r8c7=>r6c7<>5
- Marty R.
- Posts: 1508
- Joined: 23 October 2012
- Location: Rochester, New York, USA
8 posts
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