Vanhegan Fiendish May 3, 2013

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Vanhegan Fiendish May 3, 2013

Postby ArkieTech » Sat May 04, 2013 12:16 am

Code: Select all
 *-----------*
 |35.|..2|..1|
 |..8|5..|..6|
 |...|13.|.5.|
 |---+---+---|
 |6..|...|92.|
 |..3|...|4..|
 |.92|...|..7|
 |---+---+---|
 |.1.|.47|...|
 |4..|..9|1..|
 |2..|8..|.74|
 *-----------*


Play/Print this puzzle online
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Re: Vanhegan Fiendish May 3, 2013

Postby Leren » Sat May 04, 2013 1:16 am

Code: Select all
*--------------------------------------------------------------*
| 3     5     67     | 69    689   2      | 78    4     1      |
| 1     2     8      | 5     7     4      | 3     9     6      |
| 9     67    4      | 1     3     68     | 278   5     28     |
|--------------------+--------------------+--------------------|
| 6     4     1      | 7     58    358    | 9     2     38     |
| 7     8     3      | 29    29    16     | 4     16    5      |
| 5     9     2      | 4     168   1368   | 68    1368  7      |
|--------------------+--------------------+--------------------|
| 8     1    c56     |a236   4     7      |b256   36    9      |
| 4     67   d567    | 236  e56-2  9      | 1     368   238    |
| 2     3     9      | 8     156   156    | 56    7     4      |
*--------------------------------------------------------------*

L2-Wing: (2) r7c4 = (2-5) r7c6 = r7c3 - r8c3 = r8c5 => -2 r8c5; stte

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Re: Vanhegan Fiendish May 3, 2013

Postby pjb » Sat May 04, 2013 3:58 am

Code: Select all
3      5     a67     |a69    a689    2      | 78     4      1     
1      2      8      | 5      7      4      | 3      9      6     
9      6-7    4      | 1      3      68     | 278    5      28     
---------------------+----------------------+---------------------
6      4      1      | 7     b58     358    | 9      2      38     
7      8      3      | 29     29     16     | 4      16     5     
5      9      2      | 4      168    1368   | 68     1368   7     
---------------------+----------------------+---------------------
8      1      56     | 236    4      7      | 256    36     9     
4     c67     56-7   |c236   c256    9      | 1     c368   c238   
2      3      9      | 8      156    156    | 56     7      4     

Death blossom with stem cell of r4c5, and petals of r1c345 and r8c24589, => r3c2, r8c3 <> 7; stte
(7=23568) r8c24589 - (5=8) r4c5 - (689=7) r1c345

Phil
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Re: Vanhegan Fiendish May 3, 2013

Postby Leren » Sat May 04, 2013 4:19 am

Code: Select all
*--------------------------------------------------------------*
| 3     5    d67     | 69    69-8  2      |e78    4     1      |
| 1     2     8      | 5     7     4      | 3     9     6      |
| 9     67    4      | 1     3     68     | 278   5     28     |
|--------------------+--------------------+--------------------|
| 6     4     1      | 7    a58    358    | 9     2     38     |
| 7     8     3      | 29    29    16     | 4     16    5      |
| 5     9     2      | 4     168   1368   | 68    1368  7      |
|--------------------+--------------------+--------------------|
| 8     1     56     | 236   4     7      | 256   36    9      |
| 4     67   c567    | 236  b256   9      | 1     368   238    |
| 2     3     9      | 8     156   156    | 56    7     4      |
*--------------------------------------------------------------*

(8=5) r4c5 - r8c5 = (5-7) r8c3 = r1c3 - (7=8) r1c7 => -8 r1c5; stte

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Re: Vanhegan Fiendish May 3, 2013

Postby 7b53 » Sat May 04, 2013 5:51 am

DP 36 r78c48
[(9)r5c4 = (8)r4c9] or [(9)r5c4 = (8)r3c9]

Question...can I combine them to write...
(8)r34c9 = (9)r5c4 - r1c4 = (9-8)r1c5 = r1c7 => r36c7 <> 8
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Re: Vanhegan Fiendish May 3, 2013

Postby Leren » Sat May 04, 2013 7:31 am

7b53 wrote:DP 36 r78c48
[(9)r5c4 = (8)r4c9] or [(9)r5c4 = (8)r3c9]

Question...can I combine them to write...
(8)r34c9 = (9)r5c4 - r1c4 = (9-8)r1c5 = r1c7 => r36c7 <> 8

You could only eliminate 8 from cells that could see all 3 cells r1c7, r34c9 and there aren't any !

The only elimination I can see arising from your DP is (8) r8c8 = DP = 2 r78c4 - (2=567) r8c235 => - 6 r8c8

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Re: Vanhegan Fiendish May 3, 2013

Postby ArkieTech » Sat May 04, 2013 11:26 am

Code: Select all
 *-----------------------------------------------------------*
 | 3     5    b67    | 69    689   2     |c78    4     1     |
 | 1     2     8     | 5     7     4     | 3     9     6     |
 | 9     67    4     | 1     3     68    | 278   5     28    |
 |-------------------+-------------------+-------------------|
 | 6     4     1     | 7     58    358   | 9     2     38    |
 | 7     8     3     | 29    29    16    | 4     16    5     |
 | 5     9     2     | 4     168   1368  |c68    1368  7     |
 |-------------------+-------------------+-------------------|
 | 8     1    a56    | 236   4     7     | 26-5  36    9     |
 | 4     67    567   | 236   256   9     | 1     368   238   |
 | 2     3     9     | 8     156   156   |c56    7     4     |
 *-----------------------------------------------------------*
(5=6)r7c3-(6=7)r1c3-(7=5)r169c7 => -5r7c7; ste
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Re: Vanhegan Fiendish May 3, 2013

Postby Leren » Sat May 04, 2013 11:54 am

Code: Select all
*--------------------------------------------------------------*
| 3     5    b67     |a69    689   2      |c78    4     1      |
| 1     2     8      | 5     7     4      | 3     9     6      |
| 9     67    4      | 1     3     68     | 278   5     28     |
|--------------------+--------------------+--------------------|
| 6     4     1      | 7     58    358    | 9     2     38     |
| 7     8     3      |a29    29    16     | 4     16    5      |
| 5     9     2      | 4     168   1368   |c68    1368  7      |
|--------------------+--------------------+--------------------|
| 8     1     56     | 36-2  4     7      |c256   36    9      |
| 4     67    567    | 236   256   9      | 1     368   238    |
| 2     3     9      | 8     156   156    |c56    7     4      |
*--------------------------------------------------------------*

Another als xy-wing: (2=6) r15c4 - (6=7) r1c3 - (7=2) r1679c7 => -2 r7c4; stte

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Re: Vanhegan Fiendish May 3, 2013

Postby Marty R. » Sat May 04, 2013 4:43 pm

Code: Select all
+----------+--------------+--------------+
| 3 5  67  | 69  689 2    | 78  4    1   |
| 1 2  8   | 5   7   4    | 3   9    6   |
| 9 67 4   | 1   3   68   | 278 5    28  |
+----------+--------------+--------------+
| 6 4  1   | 7   58  358  | 9   2    38  |
| 7 8  3   | 29  29  16   | 4   16   5   |
| 5 9  2   | 4   168 1368 | 68  1368 7   |
+----------+--------------+--------------+
| 8 1  56  | 236 4   7    | 256 36   9   |
| 4 67 567 | 236 256 9    | 1   368  238 |
| 2 3  9   | 8   156 156  | 56  7    4   |
+----------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 78-6, pivot r1c7, with transport that was easier to execute than notate. Not sure if the ALS term is valid.

(6=7)r1c3-(7=8)r1c7-(8=6)-(6=5)r9c7-(5126=3)r9c56,r7c74-(3=6)r7c8=>r7c3<>6
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Re: Vanhegan Fiendish May 3, 2013

Postby 7b53 » Sun May 05, 2013 2:48 am

Leren wrote:The only elimination I can see arising from your DP is (8) r8c8 = DP = 2 r78c4 - (2=567) r8c235 => - 6 r8c8

[(8) r8c8 = DP = 2 r78c4] internal cells
[(8)r34c9 = DP =(9)r5c4] external cells

Code: Select all
+----------------------------------------+
| 3 5  67  | 69  689 2    | 78  4    1   |
| 1 2  8   | 5   7   4    | 3   9    6   |
| 9 67 4   | 1   3   68   | 278 5    28  |
+----------+--------------+--------------+
| 6 4  1   | 7   58  358  | 9   2    38  |
| 7 8  3   | 29  29  16   | 4   16   5   |
| 5 9  2   | 4   168 1368 | 68  1368 7   |
+----------+--------------+--------------+
| 8 1  56  | 236 4   7    | 256 36   9   |
| 4 67 567 | 236 256 9    | 1   368  238 |
| 2 3  9   | 8   156 156  | 56  7    4   |
+----------------------------------------+

(9)r5c4 will be the same as (2)r78c4...
another one...(6)r1c4 is the same as (2)r78c4

(8)r3c9 or (8)r4c9 will be the same as (8)r8c8
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Re: Vanhegan Fiendish May 3, 2013

Postby daj95376 » Sun May 05, 2013 3:14 pm

7b53 wrote:DP 36 r78c48
[(9)r5c4 = (8)r4c9] or [(9)r5c4 = (8)r3c9]

Question...can I combine them to write...
(8)r34c9 = (9)r5c4 - r1c4 = (9-8)r1c5 = r1c7 => r36c7 <> 8

No. Your chain is incomplete, and your conclusion is wrong because only cells that see all three of the endpoint candidate cells -- r3c9, r4c9, and r1c7 -- can have the candidate eliminated. In this grid, that's only cells r1c9 and r2c9.

Code: Select all
(8)r34c9 = r8c9 - (8)r8c8 =UR= (2)r78c4 - (2=9)r5c4 - r1c4 = (9-8)r1c5 = (8)r1c7  =>  no eliminations
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Re: Vanhegan Fiendish May 3, 2013

Postby 7b53 » Sun May 05, 2013 9:12 pm

ok, all right.....combining = no eliminations
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Re: Vanhegan Fiendish May 3, 2013

Postby Leren » Mon May 06, 2013 6:01 am

Marty R. wrote:
Code: Select all
+----------+--------------+--------------+
| 3 5  67  | 69  689 2    | 78  4    1   |
| 1 2  8   | 5   7   4    | 3   9    6   |
| 9 67 4   | 1   3   68   | 278 5    28  |
+----------+--------------+--------------+
| 6 4  1   | 7   58  358  | 9   2    38  |
| 7 8  3   | 29  29  16   | 4   16   5   |
| 5 9  2   | 4   168 1368 | 68  1368 7   |
+----------+--------------+--------------+
| 8 1  56  | 236 4   7    | 256 36   9   |
| 4 67 567 | 236 256 9    | 1   368  238 |
| 2 3  9   | 8   156 156  | 56  7    4   |
+----------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 78-6, pivot r1c7, with transport that was easier to execute than notate. Not sure if the ALS term is valid.

(6=7)r1c3-(7=8)r1c7-(8=6)-(6=5)r9c7-(5126=3)r9c56,r7c74-(3=6)r7c8=>r7c3<>6

Your ALS term looks wrong to me, the 4 cells don't all occur in a single house.

If you modify your chain a bit you can get (6=7) r1c3 - (7=8) r1c7 - (8=6) r6c7 - (6=5) r9c7 - (5=16) r9c56 - (6) r78c4 = (6) r1c4 loop => -6 r18c5, -8 r3c7

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Re: Vanhegan Fiendish May 3, 2013

Postby Marty R. » Mon May 06, 2013 3:06 pm

Your ALS term looks wrong to me, the 4 cells don't all occur in a single house.

If you modify your chain a bit you can get (6=7) r1c3 - (7=8) r1c7 - (8=6) r6c7 - (6=5) r9c7 - (5=16) r9c56 - (6) r78c4 = (6) r1c4 loop => -6 r18c5, -8 r3c7


Thanks. I was wondering if it was a rule for ALS's that all cells must be in the same house. I probably wouldn't have been able to come up with that loop. That's why I said it was easier to execute than notate. :D
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