6 out of 6 star, stuck....

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6 out of 6 star, stuck....

Postby radioman » Tue Feb 07, 2006 6:18 am

....need the next move. Argus Leader (Sioux Falls, USA) Published 2/4/06

Code: Select all
137  5    13  | 4    2    79   | 8    19   6
17   4    2   | 89   78   6    | 5    19   3
89   6    89  | 5    1    3    | 2    4    7
--------------+----------------+-------------
358  7    53  | 1    45   452  | 9    6    28
4    2    89  | 3    6    89   | 7    5    1
589  1    6   | 89   75   752  | 4    3    28
--------------+----------------+-------------
15   9    7   | 2    3    15   | 6    8    4   
6    83   15  | 7    458  1458 | 13   2    9
2    83   4   | 6    9    18   | 13   7    5



P.S. working with animator on figuring out how to post a grid that looks good. If i could post the word file to go along with this, it would look right.

-Edited, thanks to animator
radioman
 
Posts: 4
Joined: 06 January 2006

Postby tarek » Tue Feb 07, 2006 9:48 am

Hi radioman,

This will solve it
Code: Select all
*--------------------------------------------------------*
| 137   5     13   | 4     2     79   | 8     19    6    |
| 17    4     2    | 89    78    6    | 5     19    3    |
| 89    6     89   | 5     1     3    | 2     4     7    |
|------------------+------------------+------------------|
| 358   7    *53   | 1    *45   -245  | 9     6     28   |
| 4     2     89   | 3     6     89   | 7     5     1    |
| 589   1     6    | 89   #75    752  | 4     3     28   |
|------------------+------------------+------------------|
| 15    9     7    | 2     3     15   | 6     8     4    |
| 6     83   *15   | 7    *458   1458 | 13    2     9    |
| 2     83    4    | 6     9     18   | 13    7     5    |
*--------------------------------------------------------*
Candidates in r9c6 will force r2c1 to have only 7 as valid Candidates
r9c6=1: r9c6=1 => r7c6=5 => r7c1=1 => r2c1=7
r9c6=8: r9c6=8 => r5c6=9 => r6c4=8 => r2c4=9 => r2c8=1 => r2c1=7
Threfore r2c1=7


There is also a Finned XWing of 5s in Columns 3 & 5, however you would still need the above move.

Tarek
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tarek
 
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Postby Myth Jellies » Tue Feb 07, 2006 10:52 am

If you want to get wild with uniqueness and a sashimi x-wing, you can solve this without either chains or almost locked sets.

Code: Select all
{137}  {5}    {13}   {4}    {2}    {79}   {8}    {19}   {6}   
{17}   {4}    {2}    {89}   {78}   {6}    {5}    {19}   {3}   
{89}   {6}    {89}   {5}    {1}    {3}    {2}    {4}    {7}   
{358}  {7}    {35}   {1}    {45}   {245}  {9}    {6}    {28}   
{4}    {2}    {89}   {3}    {6}    {89}   {7}    {5}    {1}   
{589}  {1}    {6}    {89}   {57}   {257}  {4}    {3}    {28}   
{15}   {9}    {7}    {2}    {3}    {15}   {6}    {8}    {4}   
{6}   *{38}   {15}   {7}    {458} *18+45 *{13}   {2}    {9}   
{2}   *{38}   {4}    {6}    {9}   *{18}  *{13}   {7}    {5}   


38-81-13 BUG-Lite+1 grid (r89c267) kills 18 in r8c6 via uniqueness type 1. Note that considering only the starred cells, the 1's, 3's, and 8's all appear zero or exactly twice in all rows, columns, and boxes. This is the rule for a BUG-Lite deadly uniqueness pattern which must be avoided.

Code: Select all
{137}  {5}    {13}   {4}    {2}    {79}   {8}    {19}   {6}   
{17}   {4}    {2}    {89}   {78}   {6}    {5}    {19}   {3}   
{89}   {6}    {89}   {5}    {1}    {3}    {2}    {4}    {7}   
{358}  {7}    {35}   {1}   *{45}  *45+2   {9}    {6}    {28}   
{4}    {2}    {89}   {3}    {6}    {89}   {7}    {5}    {1}   
{589}  {1}    {6}    {89}   {57}   {257}  {4}    {3}    {28}   
{15}   {9}    {7}    {2}    {3}    {15}   {6}    {8}    {4}   
{6}    {38}   {15}   {7}   *45+8  *{45}   {13}   {2}    {9}   
{2}    {38}   {4}    {6}    {9}    {18}   {13}   {7}    {5}   


Another uniqueness rectangle is uncovered, note that r4c6 = 2 or r8c5 = 8 or both. Also note that 4's are confined to these four cells, thus either (r4c6 and r8c5 = 4) or (r4c5 and r8c6 = 4). Since the first pairing clashes with the uniqueness implication, it must be true that r4c5 and r8c6 = 4. Now you have...
Code: Select all
{137} {5}   {13}  {4}   {2}   {79}  {8}   {19}  {6}   
{17}  {4}   {2}   {89}  {78}  {6}   {5}   {19}  {3}   
{89}  {6}   {89}  {5}   {1}   {3}   {2}   {4}   {7}   
{358} {7}  *{35}  {1}  *{4}  -{25}  {9}   {6}   {28} 
{4}   {2}   {89}  {3}   {6}   {89}  {7}   {5}   {1}   
{589} {1}   {6}   {89} #{57}  {257} {4}   {3}   {28} 
{15}  {9}   {7}   {2}   {3}   {15}  {6}   {8}   {4}   
{6}   {38} *{15}  {7}  *{58}  {4}   {13}  {2}   {9}   
{2}   {38}  {4}   {6}   {9}   {18}  {13}  {7}   {5}   

A Sashimi X-Wing for 5's in r48c35 with fin in box 5 r6c5 kills the 5 in r4c6.
A few naked pairs and basic stuff gets the grid to...
Code: Select all
*37+1 {5}   {13}  {4}   {2}   {79}  {8}   {19}  {6}   
{17}  {4}   {2}   {89}  {78}  {6}   {5}   {19}  {3}   
{89}  {6}   {89}  {5}   {1}   {3}   {2}   {4}   {7}   
{35}  {7}   {35}  {1}   {4}   {2}   {9}   {6}   {8}   
{4}   {2}   {89}  {3}   {6}   {89}  {7}   {5}   {1}   
{89}  {1}   {6}   {89}  {57}  {57}  {4}   {3}   {2}   
{15}  {9}   {7}   {2}   {3}   {15}  {6}   {8}   {4}   
{6}   {38}  {15}  {7}   {58}  {4}   {13}  {2}   {9}   
{2}   {38}  {4}   {6}   {9}   {18}  {13}  {7}   {5}   

This is just a BUG+1 grid where you can set r1c1 = 1 to solve the puzzle.
Myth Jellies
 
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