Vanhegan extreme December 12, 2012

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Vanhegan extreme December 12, 2012

Postby ArkieTech » Wed Dec 12, 2012 9:03 am

Code: Select all
 *-----------*
 |6.2|..3|...|
 |.93|...|4..|
 |1.4|76.|...|
 |---+---+---|
 |.6.|.7.|..4|
 |.31|.2.|98.|
 |4..|.3.|.5.|
 |---+---+---|
 |...|.17|6.3|
 |..7|...|54.|
 |...|3..|2.8|
 *-----------*


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dan
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Re: Vanhegan extreme December 12, 2012

Postby storm_norm22 » Wed Dec 12, 2012 10:21 am

almost ER !

the way I visualized this was I imagined that there was in fact an ER on 8's. like this

(8)r8c5 = (8)r2c5 - (8)r2c1 = (8)r13c2

which eliminates the 8 in r8c2. this of course is only fantasy since we know that there are three 8's in column 5.
now that I had a visual on the ER... if that ER is false, then the 8 in r1c5 is true... leads to

(8)r1c5 - (8=7)r1c7 - (7)r1c2 = (58)r13c2

this tells us that the ER on 8's and the pair (58)r13c2 are strongly inferenced. in other words, neither the "imagined" ER nor the "imagined" 58 pair can both be false.
we see they both eliminate the 8 in r8c2. bye bye 8. bye bye puzzle.

Image

this is the chain
Code: Select all
Kraken column 5 on candidate 8; r8c2 <>8

(8)r8c5
||
(8)r2c5 - (8)r2c1 = (8)r13c2
||
(8)r1c5 - (8=7)r1c7 - (7)r1c2 = (58)r13c2
Last edited by storm_norm22 on Wed Dec 12, 2012 10:22 am, edited 1 time in total.
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Re: Vanhegan extreme December 12, 2012

Postby ArkieTech » Wed Dec 12, 2012 12:24 pm

storm_norm22 wrote:almost ER !


WOW! :o 8-)

Code: Select all
 *-----------------------------------------------------------*
 | 6     578   2     | 4589  4589  3     | 78    1     579   |
 | 78    9     3     | 1258  58    1258  | 4     6     257   |
 | 1     58    4     | 7     6     2589  | 38    23    259   |
 |-------------------+-------------------+-------------------|
 | 258   6     589   | 1589  7     1589  | 13    23    4     |
 |a57    3     1     | 456   2     456   | 9     8    b67    |
 | 4    d28-7  89    | 1689  3     1689  | 17    5    c267   |
 |-------------------+-------------------+-------------------|
 | 258   4     58    | 28    1     7     | 6     9     3     |
 | 3     28    7     | 2689  89    2689  | 5     4     1     |
 | 9     1     6     | 3     45    45    | 2     7     8     |
 *-----------------------------------------------------------*
L-wing
7r5c1=(7-6)r5c9=(6-2)r6c9=2r6c2 => -7r6c2; stte
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Re: Vanhegan extreme December 12, 2012

Postby tlanglet » Wed Dec 12, 2012 10:45 pm

Got a late start today......

ANP(58=7*)r31c2-(7=8)r1c7-(8=3=2)r3c78-r4c8=r4c1-(27*=8)r6c2

Ted
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Re: Vanhegan extreme December 12, 2012

Postby tlanglet » Wed Dec 12, 2012 10:54 pm

storm_norm22 wrote:almost ER !

the way I visualized this was I imagined that there was in fact an ER on 8's. like this

(8)r8c5 = (8)r2c5 - (8)r2c1 = (8)r13c2

which eliminates the 8 in r8c2. this of course is only fantasy since we know that there are three 8's in column 5.
now that I had a visual on the ER... if that ER is false, then the 8 in r1c5 is true... leads to

(8)r1c5 - (8=7)r1c7 - (7)r1c2 = (58)r13c2

this tells us that the ER on 8's and the pair (58)r13c2 are strongly inferenced. in other words, neither the "imagined" ER nor the "imagined" 58 pair can both be false.
we see they both eliminate the 8 in r8c2. bye bye 8. bye bye puzzle.

Image

this is the chain
Code: Select all
Kraken column 5 on candidate 8; r8c2 <>8

(8)r8c5
||
(8)r2c5 - (8)r2c1 = (8)r13c2
||
(8)r1c5 - (8=7)r1c7 - (7)r1c2 = (58)r13c2


Norm,

I am a fan of "almost" patterns and have found that they seem to be very effective (that is, very destructive).
The result of my first attempt on this puzzle using an ANP() is posted.

Ted
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Re: Vanhegan extreme December 12, 2012

Postby Marty R. » Thu Dec 13, 2012 3:57 am

Code: Select all
+-------------+----------------+-----------+
| 6   578 2   | 4589 4589 3    | 78 1  579 |
| 78  9   3   | 1258 58   1258 | 4  6  257 |
| 1   58  4   | 7    6    2589 | 38 23 259 |
+-------------+----------------+-----------+
| 258 6   589 | 1589 7    1589 | 13 23 4   |
| 57  3   1   | 456  2    456  | 9  8  67  |
| 4   278 89  | 1689 3    1689 | 17 5  267 |
+-------------+----------------+-----------+
| 258 4   58  | 28   1    7    | 6  9  3   |
| 3   28  7   | 2689 89   2689 | 5  4  1   |
| 9   1   6   | 3    45   45   | 2  7  8   |
+-------------+----------------+-----------+

Play this puzzle online at the Daily Sudoku site

A too-long chain.

(2=8)r8c2-(852=7)r361c2-(7=8)r1c7-(8=3)r3c7-(3=1)r4c7-(1=7)r6c7-(736=2)r4c8,r56c9=>r6c2<>2
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Re: Vanhegan extreme December 12, 2012

Postby DonM » Thu Dec 13, 2012 7:45 am

Code: Select all
+-------------+----------------+-----------+
| 6   578 2   | 4589 4589 3    | 78 1  579 |
| 78  9   3   | 1258 58   1258 | 4  6  257 |
| 1   58  4   | 7    6    2589 | 38 23 259 |
+-------------+----------------+-----------+
| 258 6   589 | 1589 7    1589 | 13 23 4   |
| 57  3   1   | 456  2    456  | 9  8  67  |
| 4   278 89  | 1689 3    1689 | 17 5  267 |
+-------------+----------------+-----------+
| 258 4   58  | 28   1    7    | 6  9  3   |
| 3   28  7   | 2689 89   2689 | 5  4  1   |
| 9   1   6   | 3    45   45   | 2  7  8   |
+-------------+----------------+-----------+


This should also do the trick:
(7)r5c1=(7-2)r6c2=r4c1-r4c8=r3c8-als(2=579)r123c9 => r5c9<>7=6 stte

Edit: Corrected 3, count'em, 3 notation errors in one little chain- that's what happens when constructing a chain is the last thing you do at night! (At least the logic was correct :) )
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