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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Fri Sep 07, 2012 5:26 am Post subject: Vanhegan fiendish September 6, 2012 |
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Code: |
*-----------*
|...|.9.|.83|
|9..|15.|.2.|
|...|2.7|...|
|---+---+---|
|.98|...|.4.|
|5..|6.2|..9|
|.1.|...|65.|
|---+---+---|
|...|3.5|...|
|.3.|.19|..4|
|17.|.6.|...|
*-----------*
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Clement
Joined: 24 Apr 2006 Posts: 1111 Location: Dar es Salaam Tanzania
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Posted: Fri Sep 07, 2012 7:02 am Post subject: |
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Code after Basics Code: |
+------------+----------+--------------+
| 7 2 1 | 4 9 6 | 5 8 3 |
| 9 68 -346 | 1 5 *38 | 47 2 67 |
| *348 5 346 | 2 38 7 | 149 19 16 |
+------------+----------+--------------+
| 6 9 8 | 5 37 1 | 237 4 27 |
| 5 4 37 | 6 378 2 | 1378 137 9 |
| *23 1 237 | 9 4 *38 | 6 5 78 |
+------------+----------+--------------+
| 48 68 469 | 3 2 5 | 1789 179 178 |
| 28 3 5 | 7 1 9 | 28 6 4 |
| 1 7 29 | 8 6 4 | 2 39 39 5 |
+------------+----------+--------------+
| Skyscraper on 3 in r6c16; r2c3<>3. |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Fri Sep 07, 2012 12:17 pm Post subject: |
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Another method with same result:
Code: |
*-----------------------------------------------------------*
| 7 2 1 | 4 9 6 | 5 8 3 |
| 9 68 46-3 | 1 5 a38 | 47 2 67 |
| 348 5 346 | 2 38 7 | 149 19 16 |
|-------------------+-------------------+-------------------|
| 6 9 8 | 5 37 1 | 37 4 2 |
| 5 4 d37 | 6 378 2 | 1378 137 9 |
|c23 1 c237 | 9 4 b38 | 6 5 78 |
|-------------------+-------------------+-------------------|
| 48 68 469 | 3 2 5 | 1789 179 178 |
| 28 3 5 | 7 1 9 | 28 6 4 |
| 1 7 29 | 8 6 4 | 239 39 5 |
*-----------------------------------------------------------*
Empty Rectangle (ER)
3r2c6=r6c6-r6c13=3r5c3 => -3r2c3; stte
if r2c6 is not a 3 then r5c3 is a 3
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Fri Sep 07, 2012 3:58 pm Post subject: |
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arkietech wrote: | Another method with same result:
Code: |
*-----------------------------------------------------------*
| 7 2 1 | 4 9 6 | 5 8 3 |
| 9 68 46-3 | 1 5 a38 | 47 2 67 |
| 348 5 346 | 2 38 7 | 149 19 16 |
|-------------------+-------------------+-------------------|
| 6 9 8 | 5 37 1 | 37 4 2 |
| 5 4 d37 | 6 378 2 | 1378 137 9 |
|c23 1 c237 | 9 4 b38 | 6 5 78 |
|-------------------+-------------------+-------------------|
| 48 68 469 | 3 2 5 | 1789 179 178 |
| 28 3 5 | 7 1 9 | 28 6 4 |
| 1 7 29 | 8 6 4 | 239 39 5 |
*-----------------------------------------------------------*
Empty Rectangle (ER)
3r2c6=r6c6-r6c13=3r5c3 => -3r2c3; stte
if r2c6 is not a 3 then r5c3 is a 3
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Two more possibilities.
1) XY-Wing (238), pivot r6c1, flightless, with transport from r8c1 to r2c2; r2c6<>8.
2) M-Wing (38) in r2c6 and r3c1; pincer 3; r6c6<>3. |
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Clement
Joined: 24 Apr 2006 Posts: 1111 Location: Dar es Salaam Tanzania
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Posted: Fri Sep 07, 2012 5:58 pm Post subject: Vanhagen fiendish September 6, 2012 |
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arkietech
Thanks, you have reminded me of the ER's. I have almost stoped looking for them because they occur rarely. However they are good and fun. There are two ER's in this puzzle based on 3's, the one in BOX 2 removes the 3 in r6c6 and the other in BOX 4 removes the 3 in r2c3 . |
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