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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sat Nov 06, 2010 1:15 am Post subject: Free Press Oct 29, 2010 |
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A different kettle of fish: | Code: | Puzzle: FP102910
+-------+-------+-------+
| . . . | . . 9 | 7 . 1 |
| . 3 . | . . . | . 9 . |
| . . . | 5 . 7 | 3 . . |
+-------+-------+-------+
| 5 2 . | . 1 . | . . 8 |
| . . . | . 6 . | . . . |
| 6 . . | . . . | 9 4 2 |
+-------+-------+-------+
| . . 2 | 8 . 6 | . . . |
| . 9 . | . . . | . 5 . |
| 7 . 4 | 3 . . | . . . |
+-------+-------+-------+ |
(No pun intended.)
Keith |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sat Nov 06, 2010 4:46 am Post subject: |
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| Code: | +----------------+----------------------+------------------+
| 28 46 5 | 26-4 3 9 | 7 268 1 |
| (28) 3 7 | 16-24 (248) (1248) | (258) 9 56-4 |
| 9 146 16 | 5 28 7 | 3 28 46 |
+----------------+----------------------+------------------+
| 5 2 39 | 49 1 34 | 6 7 8 |
| 4 7 89 | 29 6 28 | (15) 13 35 |
| 6 18 138 | 7 58 358 | 9 4 2 |
+----------------+----------------------+------------------+
| 13 5 2 | 8 79 6 | 4 13 79 |
| 13 9 68 | 124 247 24-1 | 28-1 5 367 |
| 7 68 4 | 3 259 25(1) | 28(1) 268 69 |
+----------------+----------------------+------------------+ |
#1... Loop...(5=1)r5c7 - (1)r9c7 = (1)r9c6 - (1=248)r2c156 - [{28}=5]r2c7;
r2c9 <> 4
r1c4 <> 4
r2c4 <> 2,4
r8c67 <> 1
#2... w-wing {2,8}, pincers in r2c1 and r3c8; r2c7 <> 2
#3... xy-wing {2,5,8} r5c6, r6c5, r9c5; r89c6 <> 2 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sat Nov 06, 2010 3:09 pm Post subject: |
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It was a tough slog and I didn't see Keith's fish.
DP 28 boxes 123; r2c9<>4
M-Wing (28); r2c7<>2
M-Wing (28); r89c6<>2
XY-Chain; r2c46<>2
XY-Chain; r5c4<>2 |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sat Nov 06, 2010 6:09 pm Post subject: |
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There is not a fish. I simply meant it is a different proposition than this week's puzzle. After basics: | Code: | +----------------+----------------+----------------+
| 28 46 5 | 246 3 9 | 7 268 1 |
| 28 3 7 | 1246 248 1248 | 258 9 456 |
| 9 146 16 | 5 28 7 | 3 28 46 |
+----------------+----------------+----------------+
| 5 2 39 | 49 1 34 | 6 7 8 |
| 4 7 89 | 29 6 28 | 15 13 35 |
| 6 18 138 | 7 58 358 | 9 4 2 |
+----------------+----------------+----------------+
| 13 5 2 | 8 79 6 | 4 13 79 |
| 13 9 68 | 124 247 124 | 128 5 367 |
| 7 68 4 | 3 259 125 | 128 268 69 |
+----------------+----------------+----------------+ |
W-wing 28: R2C7 is not 2. Leading to here: | Code: | +-------------+-------------+-------------+
| 28 4 5 | 26 3 9 | 7 268 1 |
| 28 3 7 | 126 4 128 | 58 9 56 |
| 9 16 16 | 5 28 7 | 3 28 4 |
+-------------+-------------+-------------+
| 5 2 39 | 49 1 34 | 6 7 8 |
| 4 7 89 | 29 6 28 | 15 13 35 |
| 6 18 138 | 7 58 358 | 9 4 2 |
+-------------+-------------+-------------+
| 13 5 2 | 8 9 6 | 4 13 7 |
| 13 9 68 | 124 7 124 | 128 5 36 |
| 7 68 4 | 3 25 125 | 12 68 9 |
+-------------+-------------+-------------+ |
M-wing: If R3C8 is 2, so is R8C7. R3C8 and R9C8 are pincers on 8. R1C8 is not 8.
Also in the above grid is an XY-wing -258 that takes out 2 in R89C6.
That solves the puzzle. 
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun Nov 07, 2010 12:39 am Post subject: |
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A reasonable solution is:
| Code: | W-Wing: (2=8)r2c1 - r1c1 = r1c8 - (8=2)r3c8 => r2c7<>2
XY-Chain: (6=2)r1c4 - (2=9)r5c4 - (9=8)r5c3 - (8=6)r8c3 - (6=8)r9c2 - (8=6)r9c8 => r1c8<>6
____________________________________________________________________________________________
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However, the cells of the XY-Chain can be used in an unreasonable single-stepper network:
| Code: | (2)r3c5 = r3c8 - (2)r9c8
/ \
(64=2)r1c24 - (2=9)r5c4 - (9=8)r5c3 - r8c3 = r9c2 - (8)r9c8 = (6)r9c8 => r1c8<>6
+--------------------------------------------------------------+
| 28 46 5 | 246 3 9 | 7 268 1 |
| 28 3 7 | 1246 248 1248 | 258 9 456 |
| 9 146 16 | 5 28 7 | 3 28 46 |
|--------------------+--------------------+--------------------|
| 5 2 39 | 49 1 34 | 6 7 8 |
| 4 7 89 | 29 6 28 | 15 13 35 |
| 6 18 138 | 7 58 358 | 9 4 2 |
|--------------------+--------------------+--------------------|
| 13 5 2 | 8 79 6 | 4 13 79 |
| 13 9 68 | 124 247 124 | 128 5 367 |
| 7 68 4 | 3 259 125 | 128 268 69 |
+--------------------------------------------------------------+
# 66 eliminations remain
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sun Nov 07, 2010 5:59 pm Post subject: |
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Two steps..........
BUG-Lite+3 (168)r389c237 internal SIS r3c2=4,r89c7=2; r9c9<>6=9
(4)r3c2-(4=6)r3c9;
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(2)r89c7-(2=86)als:r9c28;
(6)r9c8=(6)r9c2-(6=8)r8c3-(8=9)r5c3-(9=2)r5c4-(2=6)r1c4; r1c8<>6
Ted |
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