What is the next move here?

Advanced methods and approaches for solving Sudoku puzzles

What is the next move here?

Postby Kites » Sun Sep 04, 2005 10:02 pm

It seems to me that there is more than one posibility for the next move, I find it hard to know what. Can you teach me find the options?

[678]9[4678],[478]12,5[46]3
5[24678]1,3[78][48],[678]9[24678]
[2378]]23478][23478],596,[78][24]1

[12367][23467]9,[467][367][34],[1367]85
[3678][34678][3478],251,9[346][467]
[1367]5[347],[4678][3678]9,2[1346]467]

4[2378][3578],9[2368][38],[1368][12356][268]
[238]1[2358],[68][2368]7,4[2356]9
9[238]6,145,[38]7[28]
Kites
 
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Joined: Fri May 20, 2005 4:00 pm

Postby PaulIQ164 » Sun Sep 04, 2005 10:42 pm

You have a candidate 6 in r1c3 that can't be there (as there's a 6 in r9c3), but it doesn't help much. I put this into Sudoku Susser, which needs Nishio to solve it. In other words, it's really hard. Perhaps someone who understands these ridiculously complex methods can be more helpful.
PaulIQ164
 
Posts: 533
Joined: Sat Jul 16, 2005 4:00 pm

Re: What is the next move here?

Postby Ocean » Mon Sep 05, 2005 12:00 am

Kites wrote:It seems to me that there is more than one posibility for the next move, I find it hard to know what. Can you teach me find the options?

[678]9[4678],[478]12,5[46]3
5[24678]1,3[78][48],[678]9[24678]
[2378]]23478][23478],596,[78][24]1

[12367][23467]9,[467][367][34],[1367]85
[3678][34678][3478],251,9[346][467]
[1367]5[347],[4678][3678]9,2[1346]467]

4[2378][3578],9[2368][38],[1368][12356][268]
[238]1[2358],[68][2368]7,4[2356]9
9[238]6,145,[38]7[28]


Have a look at the 2's - there seems to be an 'x-wing' pattern (row 2 and 9) - which means that candidate 2 can be excluded from all cells in column two and nine except those in row 2 and 9.
Ocean
 
Posts: 442
Joined: Mon Aug 29, 2005 4:00 pm

Re: What is the next move here?

Postby Kites » Mon Sep 05, 2005 8:14 am

Ocean wrote:
Kites wrote:It seems to me that there is more than one posibility for the next move, I find it hard to know what. Can you teach me find the options?

[678]9[4678],[478]12,5[46]3
5[24678]1,3[78][48],[678]9[24678]
[2378]]23478][23478],596,[78][24]1

[12367][23467]9,[467][367][34],[1367]85
[3678][34678][3478],251,9[346][467]
[1367]5[347],[4678][3678]9,2[1346]467]

4[2378][3578],9[2368][38],[1368][12356][268]
[238]1[2358],[68][2368]7,4[2356]9
9[238]6,145,[38]7[28]


Have a look at the 2's - there seems to be an 'x-wing' pattern (row 2 and 9) - which means that candidate 2 can be excluded from all cells in column two and nine except those in row 2 and 9.


Thank you very much for pointing 'x-wing' - this puzzle is solved now!
Kites
 
Posts: 48
Joined: Fri May 20, 2005 4:00 pm

Postby Kites » Mon Sep 05, 2005 8:18 am

PaulIQ164 wrote:You have a candidate 6 in r1c3 that can't be there (as there's a 6 in r9c3), but it doesn't help much. I put this into Sudoku Susser, which needs Nishio to solve it. In other words, it's really hard. Perhaps someone who understands these ridiculously complex methods can be more helpful.


Thanks Paul, you were right about the 6.
Kites
 
Posts: 48
Joined: Fri May 20, 2005 4:00 pm


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