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Bud
Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida
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 Posted: Tue Jun 21, 2011 11:42 pm Post subject: Conjugate-Linked ALS's plus Extended Purple Cow Example |
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000400150001095040005012030009000004000526000800000600070100400000050700013008000
After making basic moves the puzzle is as shown in the diagram. At this point I look for the most powerful advanced move I can find and at least temporarily ignore weaker advanced moves. In this case it is the conjugate linked ALS’s in box456. The logic is as follows. If conjugate C=3, ALS A=1278 or else if D=3, ALS B=1247. In either case r4c1<>127, r4c2<>2,and r6c89<>2. This also makes r5c1=1.
| Code: |
+----------------------+-------------------+-------------------+
| 23679 23689 2678 | 4 3678 37 | 1 5 26789 |
| 2367 2368 1 | 3678 9 5 | 28 4 2678 |
| 4679 4689 5 | 678 1 2 | 89 3 6789 |
+----------------------+-------------------+-------------------+
|-1-236-7 -2356 9 | 378A 378A 137A | 235C 127A 4 |
| 1347B 34B 47B | 5 2 6 | 389D 1789 189 |
| 8 235 27B | 379 347 13479 | 6 1-27 1-25 |
+----------------------+-------------------+-------------------+
| 2569 7 268 | 1 36 39 | 4 2689 23589 |
| 2469 24689 2468 | 2369 5 349 | 7 12689 12389 |
| 24569 1 3 | 2679 467 8 | 259 269 259 |
+----------------------+-------------------+-------------------+ |
After applying the conjugate ALS’s move, the puzzle is as shown in the diagram below. The cells in the purple cow pattern are denoted by *. The extension cell is denoted by ^. Note that the basic pattern consists of a single digit(4) 4-cell AIC and a single digit(7) 3-cell chain with (at least?) one strong link (in column 3). The ends of these two chains are connected together(r5c3 and r6c6). Note that in this case the 4-cell AIC is a useless skyscraper pattern. It could also be any type of useful or useless turbot fish pattern , although in most other purple cows I have found, the 4-cell AIC is not a Turbot fish. Purple cow logic is as follows. One or both ends of the 4-cell AIC must be 4. Either (4)r5c3=(7)r6c3=(1)r6c8 or (4)r6c6. In either case r6c6<>17. This also makes r4c6=1 and r1c6=7.
| Code: |
+--------------------+--------------------+-------------------+
| 23679 23689 268 | 4 3678 37 | 1 5 26789 |
| 2367 2368 1 | 3678 9 5 | 28 4 2678 |
| 4679 4689 5 | 678 1 2 | 89 3 6789 |
+--------------------+--------------------+-------------------+
| 36 356 9 | 378 378 137 | 235 127 4 |
| 1 34 47* | 5 2 6 | 389 789 89 |
| 8 235 27* | 379 347 -134-79*| 6 17^ 15 |
+--------------------+--------------------+-------------------+
| 2569 7 268 | 1 36 39 | 4 2689 23589 |
| 2469 24689 2468*| 2369 5 349* | 7 12689 12389 |
| 24569 1 3 | 2679 467 8 | 259 269 259 |
+--------------------+--------------------+-------------------+ |
The purple cow has much in common with the S-Wing. Both are basic 2-digit, 5-cell patterns which can be extended to get additional cell eliminations. Both patterns are discontinuous NL’s which can become 3-digit continuous loops. These continuous loops occur much more often in the S-Wing pattern than in the purple cow pattern. I have several examples of the former but only two of the latter. I have been able to get 4 digit eliminations with an extended S-Wing but only 2 for the extended purple cow. From my experience the purple cow is the least common of the 4 2-digit 4 and 5-cell patterns, but it is not rare. |
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