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shadders
Joined: 03 Aug 2005 Posts: 1 Location: Spain

Posted: Wed Aug 03, 2005 12:12 am Post subject: sunday31st july 


I got this far with Sunday 31st July puzzle
 2 8
425
65492
7X3684
469
645371
465
692
186
I asked for a draw and got 9 on r4 c1
I can't understand why this should be 9  as I calculate that it could be 159 and that 9 could be in r6 c3 of the same square.
Can anyone help
shadders 

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pierceedd
Joined: 22 Jul 2005 Posts: 7 Location: New Jersey, USA

Posted: Wed Aug 03, 2005 2:27 pm Post subject: Re: sunday31st july 


shadders wrote:  I got this far with Sunday 31st July puzzle
 2 8
425
65492
7X3684
469
645371
465
692
186
I asked for a draw and got 9 on r4 c1
I can't understand why this should be 9  as I calculate that it could be 159 and that 9 could be in r6 c3 of the same square.
Can anyone help
shadders 
Did you mean r4 c2 is a 9? In your grid you gave r4 c1 as a 7.
In any case, I'm not sure why that was the hint it gave, but here's my logic:
The bottom middle cell (rows 7, 8, 9 and columns 4, 5, 6) can only have a 2 in two places: row 7, column 5 or row 9, column 5. Since those two options are both in the same column, it means that the 2 for the fifth column MUST be in that cell and cannot be anywhere else in the fifth column.
Consequently, row 6, column 5 can only have 8 or 9. Row 6, column 4 also can only have 8 or 9, which means that row 6 column 3 must be a 2.
As a result of this, the first three boxes in row 5 contain a triplet with the numbers 1, 5, and 8, which means that row 4, column 2 must be a 9.
I'd be curious to know if there is a solution that leads more directly to that 9.
John 

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