difficult one

Advanced methods and approaches for solving Sudoku puzzles

difficult one

Postby monkey » Wed Aug 10, 2005 6:07 pm

Hello,

I am new to the forum so please go easy. I have been working on this one for a few days and am now stuck. Can anyone help me ?

original puzzle:
xxx|xx9|xx1
xxx|1xx|249
x1x|x32|7xx
--------------
8x4|xxx|x7x
xx5|4xx|x8x
2x3|xxx|x1x
--------------
x4x|x16|8xx
xxx|7xx|194
xxx|xx4|xx3

this is how far I got:
x2x|x49|531
xxx|1xx|249
419|532|768
--------------
8x4|2x1|37x
1x5|4x3|982
2x3|xxx|41x
--------------
942|316|857
xxx|72x|194
xxx|xx4|623

any ideas as to the next step ?
monkey
 
Posts: 13
Joined: 10 August 2005

Postby stuartn » Wed Aug 10, 2005 6:23 pm

Have a look at R9C3. Is there a candidate that is unique to the row / column / block?

stuartn
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Postby monkey » Wed Aug 10, 2005 6:54 pm

Thanks stuartn.
sorry, had already filled that in. here is the updated status:
x2x|x49|531
xxx|1xx|249
419|532|768
--------------
8x4|2x1|37x
1x5|4x3|982
2x3|xxx|41x
--------------
942|316|857
xxx|72x|194
xx1|xx4|623

still stuck !
monkey
 
Posts: 13
Joined: 10 August 2005

Postby Anette » Wed Aug 10, 2005 7:01 pm

Make some eliminations of 7's in box 1
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Postby Karyobin » Wed Aug 10, 2005 7:07 pm

Okedoke...

Look at the top row - where could the 7's be?

What does that imply for the rest of Box 1? (the top left one)

Subsequently... there are only two places that 3 and 5 can be in Box 1. So that means 3 and 5 must be there, so nothing else can be - so you might as well cross out all other possibilities in those two cells.

Here's the nice bit...because you've got this far, you can look at column 2 and say to yourself "where can the 8's be in this column?" As they can now only be in Box 7 (the bottom left one) you can cross out all other 8's in this box. Which means you now know where a 6 is.

Carry on till complete.

[Ooops, Anette beat me, knew I was saying too much.]
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Joined: 18 June 2005

Postby monkey » Wed Aug 10, 2005 7:25 pm

thanks for the replies Anette and Karyobin,

I am quite new to this so am not sure how to eliminate the 7s in box 1 (I see 5 possibilities)

:(
monkey
 
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Joined: 10 August 2005

Postby Anette » Wed Aug 10, 2005 7:43 pm

If you look at box 2, the 7 has to be in row 2. Therefore, it can't be in row 2 in box 1.

And then there is only one place left for it in column3.
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Postby hana somekh » Wed Aug 10, 2005 7:48 pm

:)
Last edited by hana somekh on Wed Aug 10, 2005 3:53 pm, edited 1 time in total.
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Postby hana somekh » Wed Aug 10, 2005 7:52 pm

Misprint error in my previous posting

Hi monkey,

In box 2 the digit 7 can only be placed in row 2 of that box.
This is because column 4 already has a 7 in box 8 at column 4 row 8 and therefore cannot be place in row 1 column 4.

Because the box 2 must have the 7's in row 2, ie either in row 2, column 4 or row 2 column 5, therefore, the digit 7 cannot be in column 2 of box 1.

This therefore means that the digit 7 in box 1 can only be in column 1 and column 3, ie row 1 column 1 and row 1 column 3.

Now -- in column 3, the digit 6 and 8 together can only be in row 2 and 8 and therefore can be eliminated from row 1 column 3, and hence leaving a 7 in row 1 column 3.

Hope this helps,
Hana.
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Postby stuartn » Wed Aug 10, 2005 7:57 pm

Here's the nice bit...
Karyobin - I wish my maths teacher all those years ago (Bexhill Grammar 69-76) had your style and tact. Marvellous.
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Postby monkey » Wed Aug 10, 2005 8:28 pm

Hana, Anette, Karyobin and stuartn,

Thank you - I have seen the light regarding the 7 in box 2. I will see where that leads me and come back with my progress.

I can do blocking fine but haven't a clue regarding wings and fish (must read up).

:)
monkey
 
Posts: 13
Joined: 10 August 2005

Postby Doyle » Wed Aug 10, 2005 9:50 pm

Stay with it. You do not need wings or fish for this particular puzzle, nor for most others you are likely to try. Let me repeat one bit of advice, that was said in different ways by the posters above: When you know a value (7 in your case) must go in a certain group of cells, then it follows that it cannot go in certain other groups of cells. What you concentrate on next is not placing that particular value more exactly, but in making deductions about the remaining values in the other groups of cells. Once you start doing this sort of thing routinely, you are well on your way.
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Postby Karyobin » Wed Aug 10, 2005 10:15 pm

Blummin' well put - 'zackly!

Cheers stuartn. Shame I just left the profession.
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Posts: 396
Joined: 18 June 2005

Postby monkey » Thu Aug 11, 2005 7:28 am

Well, eliminating the 7s from box 1 row 2 was the key that unlocked the whole puzzle.

627|849|531
538|167|249
419|532|768
--------------
894|251|376
165|473|982
273|698|415
--------------
942|316|857
386|725|194
751|984|623

So a big thank you to eveyone who replied for teaching me new stuff.
:D
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