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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sat Dec 03, 2011 2:45 pm Post subject: A tough one from Ann Arbor? |
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I found this one in an old folder. Seems to be from a newspaper in Ann Arbor. I have not yet done it, but it certainly stumped me when I tried my usual no pencil marks approach.
| Code: | Puzzle: UN091109
+-------+-------+-------+
| . . 2 | 5 3 . | 1 . . |
| 7 5 . | . . 4 | . . . |
| . . 6 | . 2 . | . . . |
+-------+-------+-------+
| . 1 4 | . . . | . 6 . |
| 3 . . | . . . | 5 . 9 |
| . . . | . . . | 7 2 . |
+-------+-------+-------+
| . . . | . 9 . | 6 . . |
| . . . | 8 . . | . 1 2 |
| . . 8 | . 6 7 | 3 . . |
+-------+-------+-------+ |
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun Dec 04, 2011 2:29 am Post subject: |
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I managed to revive the chain() routine in my solver long enough to derive a solution to the puzzle.
| Code: | +-----------------------+
| . . 2 | 5 3 . | 1 . . |
| 7 5 . | . . 4 | . . . |
| . . 6 | . 2 . | . . . |
|-------+-------+-------|
| . 1 4 | . . . | . 6 . |
| 3 . . | . . . | 5 . 9 |
| . . . | . . . | 7 2 . |
|-------+-------+-------|
| . . . | . 9 . | 6 . . |
| . . . | 8 . . | . 1 2 |
| . . 8 | . 6 7 | 3 . . |
+-----------------------+
r17c89 <78> UR Type 4.2234 <> 8 r1c89
r39c1 Skyscraper <> 1 r2c4,r7c6
<39+5> XY-Wing r8c3/r6c3+r8c6 <> 5 r6c6
+--------------------------------------------------------------+
| 489 489 2 | 5 3 689 | 1 79 467 |
| 7 5 139 | 69 18 4 | 2 389 68 |
| 1489 3489 6 | 7 2 189 | 49 3589 458 |
|--------------------+--------------------+--------------------|
| 259 1 4 | 29 7 59 | 8 6 3 |
| 3 268 7 | 26 18 168 | 5 4 9 |
| 589 689 59 | 34 45 3689 | 7 2 1 |
|--------------------+--------------------+--------------------|
| 145 34 135 | 134 9 2 | 6 78 78 |
| 6 7 39 | 8 45 35 | 49 1 2 |
| 1249 249 8 | 14 6 7 | 3 59 45 |
+--------------------------------------------------------------+
# 71 eliminations remain
r56c26 <68> UR via s-link + N_Singles <> 8 r5c2 (FYI only!)
r56c26 <68> UR via s-link + N_Singles <> 8 r6c6 (FYI only!)
long XY-Chain
(9=6=2=9=5=3=9=4=9)r2c4,r5c4,r4c4,r4c6,r8c6,r8c3,r8c7,r3c7 => r2c8,r3c6<>9
+--------------------------------------------------------------+
| 489 489 2 | 5 3 69 | 1 79 467 |
| 7 5 139 | 69 18 4 | 2 38 68 |
| 149 349 6 | 7 2 18 | 49 3589 458 |
|--------------------+--------------------+--------------------|
| 259 1 4 | 29 7 59 | 8 6 3 |
| 3 268 7 | 26 18 168 | 5 4 9 |
| 589 689 59 | 34 45 3689 | 7 2 1 |
|--------------------+--------------------+--------------------|
| 145 34 135 | 134 9 2 | 6 78 78 |
| 6 7 39 | 8 45 35 | 49 1 2 |
| 1249 249 8 | 14 6 7 | 3 59 45 |
+--------------------------------------------------------------+
# 66 eliminations remain
moderate XY-Loop
(5=9=3=5=4=5)r6c3,r8c3,r8c6,r8c5,r6c5 - loop => r6c1<>5; r2c3<>9
c27r3 Skyscraper <> 9 r8c3,r9c8
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Regards, Danny |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sun Dec 04, 2011 2:52 am Post subject: |
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A rainy day struggle led to three steps | Code: | *--------------------------------------------------------------------*
| 489 489 2 | 5 3 689 | 1 789 4678 |
| 7 5 139 | 169 18 4 | 2 389 68 |
|*1489 3489 6 | 7 2 *189 | 49 3589 458 |
|----------------------+----------------------+----------------------|
| 259 1 4 | 29 7 259 | 8 6 3 |
| 3 268 7 | 126 18 1268 | 5 4 9 |
| 589 689 59 | 3469 45 35689 | 7 2 1 |
|----------------------+----------------------+----------------------|
| 1245 234 135 | 1234 9 235-1 | 6 78 78 |
| 6 7 359 | 8 45 35 | 49 1 2 |
|*1249 249 8 |*124 6 7 | 3 59 45 |
*--------------------------------------------------------------------*
skysraper 1
*-----------------------------------------------------------*
| 489 489 2 | 5 3 689 | 1 789 4678 |
| 7 5 e139 | 69 18 4 | 2 389 68 |
| 1489 *3489 6 | 7 2 189 | 49 a3589 458 |
|-------------------+-------------------+-------------------|
| 259 1 4 | 29 7 59 | 8 6 3 |
| 3 268 7 | 26 18 168 | 5 4 9 |
| 589 689 59 | 34 45 3689 | 7 2 1 |
|-------------------+-------------------+-------------------|
| 145 34 135 | 134 9 2 | 6 78 78 |
| 6 7 d39 | 8 45 35 |c49 1 2 |
| 1249 249 8 | 14 6 7 | 3 b59 45 |
*-----------------------------------------------------------*
two strong links end a chain in the same cell
(3)r3c2=(3-5)r3c8=(5-9)r9c8=(9)r8c7-(9=3)r8c3-(3)r2c3=(3)r3c2 => r3c2=3
*--------------------------------------------------------------------*
| 489 89 2 | 5 3 689 | 1 789 4678 |
| 7 5 1-9 | 69 18 4 | 2 3 68 |
| 1489 3 6 | 7 2 189 | 49 589 458 |
|----------------------+----------------------+----------------------|
| 259 1 4 | 29 7 59 | 8 6 3 |
| 3 268 7 | 26 18 168 | 5 4 9 |
| 589 689 *59 | 34 *45 35689 | 7 2 1 |
|----------------------+----------------------+----------------------|
| 15 4 135 | 13 9 2 | 6 78 78 |
| 6 7 *39 | 8 *45 *35 | 49 1 2 |
| 129 29 8 | 14 6 7 | 3 59 45 |
*--------------------------------------------------------------------*
xy-chain
(9=5)r6c3-(5=4)r6c5-(4=5)r8c5-(5=3)r8c6-(3=9)r8c3 => r2c3<>9 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sun Dec 04, 2011 4:43 am Post subject: |
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Skyscraper (1)
XY-Wing (359), flightless with transport plus another transport
Type 4 UR (78)
XY-Wing (394), flightless with transport |
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