AU Tough January 23, 2013

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AU Tough January 23, 2013

Postby ArkieTech » Wed Jan 23, 2013 6:49 am

Code: Select all
 *-----------*
 |8..|...|4.6|
 |...|9.3|.5.|
 |..1|.5.|...|
 |---+---+---|
 |5..|..8|.3.|
 |...|...|...|
 |.2.|7..|..9|
 |---+---+---|
 |...|.6.|7..|
 |.6.|4.2|...|
 |1.3|...|..4|
 *-----------*


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Re: AU Tough January 23, 2013

Postby Leren » Wed Jan 23, 2013 9:46 am

w-wing (49) r3c2 + r4c5 / 4r2c13 = 4r2c5; 9 transported from r4c5 via r4c3 to r7c3 => r79c2 <> 9; stte

eureka: (9=4) r3c2 - r2c13 = r2c5 - (4=9) r4c5 - r4c3 = r7c3 => r79c2 <> 9; stte

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Re: AU Tough January 23, 2013

Postby tlanglet » Wed Jan 23, 2013 1:33 pm

I initially found Leren's w-wing(49) but used the SL 4b2. I then looked for another solution but in the short time I had, I only found an ANS that used much of the same logic as the w-wing:

ANS(4=59)r79c2-(9=4)r3c2-r3c6=r2c5-(4=9)r4c5-r4c3=r7c3 Conflict => r7c2=4

Ted
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Re: AU Tough January 23, 2013

Postby Marty R. » Wed Jan 23, 2013 7:28 pm

Code: Select all
+-------------+-----------+-----------+
| 8   3   5   | 12 27  17 | 4  9   6  |
| 246 7   246 | 9  48  3  | 1  5   28 |
| 249 49  1   | 68 5   46 | 3  7   28 |
+-------------+-----------+-----------+
| 5   1   49  | 26 49  8  | 26 3   7  |
| 469 8   7   | 3  249 46 | 5  246 1  |
| 3   2   46  | 7  1   5  | 8  46  9  |
+-------------+-----------+-----------+
| 249 459 249 | 15 6   19 | 7  8   3  |
| 7   6   8   | 4  3   2  | 9  1   5  |
| 1   59  3   | 58 78  79 | 26 26  4  |
+-------------+-----------+-----------+

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Two steps. :( :oops:

(9=4)r3c2-r3c6=r5c6-(4=9)r4c5-r4c3=r5c1=>r3c1<>9
(4=9)r3c2-(9=5)r9c2-(5=8)r9c4-(8=6)r3c4-(6=4)r3c6=>r3c1<>4, combined with above=>r3c1<>49=2
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