## Vanhegan extreme December 12, 2012

Post puzzles for others to solve here.

### Vanhegan extreme December 12, 2012

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| *-----------*`

Play/Print this puzzle online
dan

ArkieTech

Posts: 2978
Joined: 29 May 2006
Location: NW Arkansas USA

### Re: Vanhegan extreme December 12, 2012

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.

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.
Norm
storm_norm22

Posts: 68
Joined: 21 November 2012
Location: east coast, USA

### Re: Vanhegan extreme December 12, 2012

storm_norm22 wrote:almost ER !

WOW!

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-wing7r5c1=(7-6)r5c9=(6-2)r6c9=2r6c2 => -7r6c2; stte`
dan

ArkieTech

Posts: 2978
Joined: 29 May 2006
Location: NW Arkansas USA

### Re: Vanhegan extreme December 12, 2012

Got a late start today......

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

Ted
tlanglet
2010 Supporter

Posts: 538
Joined: 29 May 2010

### Re: Vanhegan extreme December 12, 2012

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.

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
tlanglet
2010 Supporter

Posts: 538
Joined: 29 May 2010

### Re: Vanhegan extreme December 12, 2012

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
Marty R.

Posts: 1508
Joined: 23 October 2012
Location: Rochester, New York, USA

### Re: Vanhegan extreme December 12, 2012

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 )
DonM
2013 Supporter

Posts: 475
Joined: 13 January 2008