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immpy
Joined: 06 May 2017 Posts: 571
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Posted: Sat Jun 17, 2017 1:14 pm Post subject: VH+ 061717 |
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Enjoy the puzzle everyone.....
Code: |
+-------+-------+-------+
| . . 2 | . . 8 | . . 4 |
| . . 5 | . . . | 9 . . |
| 3 1 . | . . . | . 6 7 |
+-------+-------+-------+
| . . . | 1 8 . | . . . |
| . . . | 2 . 4 | 6 . . |
| 2 . . | . 9 . | . 8 . |
+-------+-------+-------+
| . 4 . | . 1 . | . . . |
| . . 1 | . . 3 | . 5 6 |
| 8 . 3 | . . . | . 7 2 |
+-------+-------+-------+
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Ajò Dimonios
Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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Posted: Sat Jun 17, 2017 2:52 pm Post subject: |
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Hi Immpy
Code: |
+-------------+-------------+-----------+
| 67 679 2 | 3579 35 8 | 35 1 4 |
| 4 78 5 | 37 6 1 | 9 2 38 |
| 3 1 89 | 4 2 59 | 58 6 7 |
+-------------+-------------+-----------+
| 56 3569 69 | 1 8 7 | 2 4 35 |
| 1 78 78 | 2 35 4 | 6 39 359 |
| 2 35 4 | 356 9 56 | 7 8 1 |
+-------------+-------------+-----------+
| 567 4 67 | 569 1 2 | 38 39 389 |
| 9 2 1 | 8 7 3 | 4 5 6 |
| 8 56 3 | 569 4 569 | 1 7 2 |
+-------------+-------------+-----------+
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Discontinuous nice loop (6)R4C1-(6=9)R4C3-(9=8)R3C3-(8=7)R2C2-(7=6)R1C1-(6)R4C1=>-6R4C1=>solution stte.
Ciao a Tutti
Paolo |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Jun 17, 2017 5:41 pm Post subject: |
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Code: |
+-------------+--------------+-----------+
| 67 679 2 | 3579 356 8 | 35 1 4 |
| 4 678 5 | 37 36 1 | 9 2 38 |
| 3 1 89 | 4 2 59 | 58 6 7 |
+-------------+--------------+-----------+
| 56 3569 69 | 1 8 7 | 2 4 35 |
| 1 78 78 | 2 35 4 | 6 39 359 |
| 2 35 4 | 356 9 56 | 7 8 1 |
+-------------+--------------+-----------+
| 567 4 67 | 56 1 2 | 38 39 389 |
| 9 2 1 | 8 7 3 | 4 5 6 |
| 8 56 3 | 569 4 569 | 1 7 2 |
+-------------+--------------+-----------+
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Play this puzzle online at the Daily Sudoku site
Kite (5), hinged in box2
5r3c7=r5c5-(5=63)r64c6-(3=5)r6c2-(5=69)r4c13-(9=8)r3c3-(8=5)r3c7=> 5r3c7 |
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Ajò Dimonios
Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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Posted: Sat Jun 17, 2017 10:06 pm Post subject: |
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Hi everyone
Of course starting after basics situation, similar to Marty, I must first delete the 6 in R2C2 in order to apply discontinuous nice loop
Code: |
+-------------+--------------+-----------+
| 67 679 2 | 3579 356 8 | 35 1 4 |
| 4 678 5 | 37 36 1 | 9 2 38 |
| 3 1 89 | 4 2 59 | 58 6 7 |
+-------------+--------------+-----------+
| 56 3569 69 | 1 8 7 | 2 4 35 |
| 1 78 78 | 2 35 4 | 6 39 359 |
| 2 35 4 | 356 9 56 | 7 8 1 |
+-------------+--------------+-----------+
| 567 4 67 | 56 1 2 | 38 39 389 |
| 9 2 1 | 8 7 3 | 4 5 6 |
| 8 56 3 | 569 4 569 | 1 7 2 |
+-------------+--------------+-----------+
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Play this puzzle online at the Daily Sudoku site
[(6)R2C2-(6)R2C5=(6-5)R1C5;(6)R2C2-(6)R9C2=(6)R9C46-(6=5)R7C4-(5)R1C4]=(5)R3C6-(5=8)R3C7-(8)R2C9=(8-6)R2C2=>-6R2C2
Discontinuous nice loop (6)R4C1-(6=9)R4C3-(9=8)R3C3-(8=7)R2C2-(7=6)R1C1-(6)R4C1=>-6R4C1=>solution stte.
Ciao a Tutti
Paolo |
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ZeroAssoluto
Joined: 05 Feb 2017 Posts: 941 Location: Rimini, Italy
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Posted: Sat Jun 17, 2017 10:45 pm Post subject: |
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Hi everyone,
W-Wing 5,6 in r4c1 and r9c2 connected by number 6 in r47c3 and -5 in r46c2 and r7c1.
Ciao Gianni |
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immpy
Joined: 06 May 2017 Posts: 571
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Posted: Sun Jun 18, 2017 1:30 pm Post subject: |
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Loving all of the various solving paths used by this community. I don't have a handle on Nice Loops at all yet, but I did spot the W wing after ZeroAssoluto made it clear. Brilliant!
I followed my "pet" path, which was the finned XY-wing of (567) with the pivot at r7c1, and pincers at r4c1 and r7c3. The XY-wing proved true upon making r4c3<>6. Basics took me home from there.
I guess the XY-wing solving technique could be referred to as my "specialty" at the present time, and upon learning of the finned XY-wing, it just put me over the top. I cannot help looking for them first. Must be from all of those Very Hards I had been doing over the last year or so.
Thank you all again for all of your replies.........
immpy |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Jun 18, 2017 3:46 pm Post subject: |
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Quote: |
I followed my "pet" path, which was the finned XY-wing of (567) with the pivot at r7c1, and pincers at r4c1 and r7c3. The XY-wing proved true upon making r4c3<>6 |
Hello Immpy,
I don't understand what a Finned XY-Wing is. How did you eliminate the 6 from r4c3? |
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immpy
Joined: 06 May 2017 Posts: 571
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Posted: Mon Jun 19, 2017 1:46 pm Post subject: |
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Marty,
A finned XY-wing is basically an XY-Wing with an extra candidate in the pivot, while still conforming to the rules of an XY-wing, by that I mean no extra candidates besides the three that make up the XY-Wing itself.... example here of a pure XY-wing would have the pivot with only two candidates (in this case r7c1 would have just the 5 and 7 as candidates). But the fin is the extra candidate (in this case the 6) so the pivot now has three candidates instead of the customary two. In ALL finned XY -wings, EITHER the fin is true, OR the XY-Wing is true, so one can begin a mock solve by either placing the fin in the pivot square (in this case 6) OR by removing the fin (6) and mock solving as if it were a true XY-Wing. This was what ended up being true with no contradictions. The two pincers (r4c1 and r7c3) each contain the 6 as a candidate.....and they both "see" r4c3, thereby making r4c3<>6.
Hope I was able to shed some light on the subject for you, and thanks for asking Marty. |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Mon Jun 19, 2017 4:14 pm Post subject: |
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Quote: |
Hope I was able to shed some light on the subject for you, and thanks for asking Marty. |
Yes. A good friend (who doesn't post any more) Quote: | used to play that move and others. He called them "almosts", like almost XY-Wing, almost X-Wing, almost rectangle, etc.
We had different thoughts on the use of these moves. In his almost XY-Wing, the fin could be in a pincer cell as well as pivot. |
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