Vanhegan extreme November 13, 2012

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Vanhegan extreme November 13, 2012

Postby ArkieTech » Tue Nov 13, 2012 6:43 am

Code: Select all
 *-----------*
 |9..|5.3|6.8|
 |.8.|1..|.4.|
 |4.3|..8|5..|
 |---+---+---|
 |5.4|.8.|.69|
 |...|9.6|...|
 |89.|.3.|1.7|
 |---+---+---|
 |..9|8..|3.5|
 |.5.|..9|.8.|
 |1.8|3.5|..6|
 *-----------*


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Re: Vanhegan extreme November 13, 2012

Postby Leren » Tue Nov 13, 2012 10:11 am

Skyscraper 1 r2c5 + r7c2 digit 6; Skyscraper 2 r2c1 + r8c4 digit 6; Skyscraper 3 r7c6 + r8c4 digit 4; Skyscraper 4 r6c4 + r7c2 digit 4;

(4) r7c6 = (4-6) r8c4 = (6-4) r7c2 => r7c2 <4>, r6c4 = 4.

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Re: Vanhegan extreme November 13, 2012

Postby ArkieTech » Tue Nov 13, 2012 12:46 pm

Leren wrote:Skyscraper 1 r2c5 + r7c2 digit 6; Skyscraper 2 r2c1 + r8c4 digit 6; Skyscraper 3 r7c6 + r8c4 digit 4; Skyscraper 4 r6c4 + r7c2 digit 4;

(4) r7c6 = (4-6) r8c4 = (6-4) r7c2 => r7c2 <4>, r6c4 = 4.


I call it an L-wing --> A 3sis with strong links all Local (outside the cell) :D

Code: Select all
 *-----------------------------------------------------------*
 | 9     127   127   | 5     4     3     | 6     127   8     |
 | 267   8     5     | 1     2679  27    | 79    4     3     |
 | 4    d1267  3     |c26    2679  8     | 5     1279  12    |
 |-------------------+-------------------+-------------------|
 | 5     3     4     | 7     8     1     | 2     6     9     |
 | 27    127   127   | 9     5     6     | 8     3     4     |
 | 8     9     6     | 24    3     24    | 1     5     7     |
 |-------------------+-------------------+-------------------|
 | 267  e267-4 9     | 8     127  a247   | 3     127   5     |
 | 3     5     27    |b246   1267  9     | 47    8     12    |
 | 1     247   8     | 3     27    5     | 479   279   6     |
 *-----------------------------------------------------------*
L-wing
4r7c6=(4-6)r8c4=r3c4-r3c2=6r7c2 => -4r7c2; stte
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Re: Vanhegan extreme November 13, 2012

Postby tlanglet » Tue Nov 13, 2012 5:26 pm

Another solution...

AXY-wing (27-4)r8c3+r8c7,r9c2 with fin 7r9c2
[7r9c2-als(27=6)r8c3|r7c1-r2c1=r3c2-(6=2=4)r36c4-r8c4=4r8c7 => r9c7<>4] = [xy-wing(27-4)r8c3+r8c7,r9c2 => r9c7<>4]
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Re: Vanhegan extreme November 13, 2012

Postby Marty R. » Wed Nov 14, 2012 12:25 am

Code: Select all
+--------------+--------------+-------------+
| 9   127  127 | 5   4    3   | 6   127  8  |
| 267 8    5   | 1   2679 27  | 79  4    3  |
| 4   1267 3   | 26  2679 8   | 5   1279 12 |
+--------------+--------------+-------------+
| 5   3    4   | 7   8    1   | 2   6    9  |
| 27  127  127 | 9   5    6   | 8   3    4  |
| 8   9    6   | 24  3    24  | 1   5    7  |
+--------------+--------------+-------------+
| 267 2467 9   | 8   127  247 | 3   127  5  |
| 3   5    27  | 246 1267 9   | 47  8    12 |
| 1   247  8   | 3   27   5   | 479 279  6  |
+--------------+--------------+-------------+

Play this puzzle online at the Daily Sudoku site

Fairly long chain whereby r8c9=1--->r8c4=2. I didn't know how to notate it so I just took a wild guess, inventing stuff as I went along.

(2=1)r8c9-r7c8=r13c8-(1=2)r3c9-(2=6)r3c4-r3c2=r2c1-(6=27)r27c1-(27=4)r7c186-r6c6=r6c4-(64=2)r368c4-->r8c35<>2
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Re: Vanhegan extreme November 13, 2012

Postby denis_berthier » Wed Nov 14, 2012 10:09 am

A whip-based solution, no pattern larger than 3...

***** SudoRules 16.2 based on CSP-Rules 1.2, config: W *****
singles ==> r4c7 = 2, r6c8 = 5, r5c8 = 3, r5c9 = 4, r5c7 = 8, r4c4 = 7, r4c6 = 1, r4c2 = 3, r8c1 = 3, r6c3 = 6, r5c5 = 5, r2c9 = 3, r2c3 = 5, r1c5 = 4
whip[1]: r8n6{c5 .} ==> r7c5 <> 6
whip[2]: c6n7{r7 r2} - b3n7{r2c7 .} ==> r7c8 <> 7
whip[2]: r7c8{n2 n1} - r8c9{n1 .} ==> r9c8 <> 2
biv-chain[3]: r9n4{c2 c7} - r8c7{n4 n7} - r8c3{n7 n2} ==> r9c2 <> 2
hidden-single-in-a-row ==> r9c5 = 2
biv-chain[3]: r2n2{c1 c6} - r3c4{n2 n6} - r2n6{c5 c1} ==> r2c1 <> 7
biv-chain[3]: c1n7{r5 r7} - c6n7{r7 r2} - r2n2{c6 c1} ==> r5c1 <> 2
naked-single ==> r5c1 = 7
whip[2]: c1n2{r7 r2} - r1n2{c2 .} ==> r7c8 <> 2
singles to the end
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