- Code: Select all
.---------------------.-----------------.--------------.
| 45 9 *245 | *25 6 8 | 7 1 3 |
| 56 1 b*3+56-2 | 7 9 a*35+2 | 246 24 8 |
| 67 367 8 | 1 4 23 | 26 9 5 |
:---------------------+-----------------+--------------:
| 146 2 146 | 3 7 46 | 8 5 9 |
| 45679 467 4569 | 8 2 456 | 1 3 46 |
| 8 346 3456 | 456 1 9 | 24 7 246 |
:---------------------+-----------------+--------------:
| 3 8 146 | 46 5 7 | 9 24 124 |
| 1469 46 1469 | 246 3 1246 | 5 8 7 |
| 2 5 7 | 9 8 14 | 3 6 14 |
'---------------------'-----------------'--------------'
7-link mixed-type oddagon: (2)r1c3 = (2=5)r1c4 = (5=3)r2c6 = (3=2)r2c3 = (2)r1c3; using internals:
(2)r2c6 = (5|6)r2c3 => -2 r2c3; stte
or:
(2)r2c6 = (65)r2c13 => -5 r2c6; stte
Another way to see it is that a Strong Wing pattern can't contain a Y-Wing. In other words, this Y-Wing is a deadly pattern, and the same guardians prevent it:
Deadly Y-Wing: (2=5)r1c4 - (5=3)r2c6 - (3=2)r2c3 => -2 r1c3
Of course all of this is unnecessarily complicated, but so is the Strong Wing pattern itself. It's basically a dual L3-Wing, but without any extra benefits compared to using either one alone. Thus, all three of these have the same exact outcome:
Strong Wing: (2)r1c3 = (2-5)r1c4 = (5-3)r2c6 = (3-2)r2c3 = (2)r1c3 => +2 r1c3; stte
L3-Wing: (2)r1c3 = (2-5)r1c4 = (5-3)r2c6 = (3)r2c3 => -2 r2c3; stte (Phil's solution)
L3-Wing: (2)r1c3 = (2-3)r2c3 = (3-5)r2c6 = (5)r1c4 => -2 r1c4; stte
(That said, Strong Wing is a fun pattern to spot, so good job, rjamil!)
Yet another way to write it:
[(3-5)r2c6] -> (32)r21c3|(52)r1c43 => +2 r1c3; stte
