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Tough Sudoku for 8/August/2009

                 
                 
                 
                 
                 
                 
                 
                 
                 

Choose a number, and place it in the grid above.

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Submitted by: basscom4life

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Steve  From Ohio    Supporting Member
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Today I added yet another page to the blog. This new page attempts to provide an example of an advanced technique that I favor greatly. The link to this new page can be found in the typical location, upper part of the rightmost column on this page.
06/Aug/09 6:02 PM
   Shiela  From MI
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(Thanks! Will check it out, Steve!)
Gorge-ous area, Sue!
08/Aug/09 1:24 AM
   DanM  From Puyallup, WA
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Like a bridge over troubled Quechee...
08/Aug/09 2:07 AM
Cathy  From southern Ontario
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Off to a winery blues festival tomorrow, and it's supposed to pour rain. We'll be crying the blues if we get soaked.
Anyway, enjoy your weekend, whatever it brings your way!
08/Aug/09 2:44 AM
Alfred  From Sydney    Supporting Member
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1. Unique possibilities:g2=2=c1,c4=1.(UP 26)
2. One very long sequence knocks this one over:If g3=5=c2=e1,f1=8,pair 34 at i12,g4=4=f5,f4=6,i4=7=c6,b4=2=d5=e9,i5=9=a6,a5=8,b5=3,a2=6 (to avoid the 34 rectangle at ai12),b3=9 and row 9 is devoid of 9.So g6=5:UPs to 81.
08/Aug/09 2:45 AM
   Debby  From Michigan,USA    Supporting Member
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Wow! It is very pretty there!

Steve, thank you!
08/Aug/09 4:09 AM
Alfred  From Sydney    Supporting Member
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Hi Steve.I tried the piecemeal approach.I found b8=5,whether g3 or g6=5;g4<>7;c6<>9,but I couldn't see much progress,and became impatient.When I noticed that g6=5 leads to UP81, I got out the sledgehammer,and applied it to g3=5.
To make the chain appear less deep,I make a slight rationalisation.A series of,say,three consecutive 2s,I count as depth 1,etc,which reduces the depth count a bit.Regards,Alfred.
08/Aug/09 7:21 AM
   johnvan  From Toronto
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>> 1 hour
08/Aug/09 1:07 PM
   fii  From NT
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Thanks Alfred.
08/Aug/09 5:39 PM
Nick  From Toronto
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Over an hour to solve
14/Aug/09 3:23 AM
sotir  From New York
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SE=8.3
09/Sep/10 11:15 PM
kobold  From Shorewood
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1. SST to UP26/ SS(5),-5e6
Steve's QNP*
2. (57')h15=(5-2)d5=b5-(2=7)b4-c6=QNP(57)h156g6 > -7h27, -5h23, UP27
3. (3)b3=(235')bdh5-(5)h1=g3 > -3g3, -5b3, UP28
4. kraken Row(3)ade6 > -6b3, -3e3, UP35
(3)a6-a12=b3
||
(3-5)d6=(5-23')bd5=(3)b3
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(3-6)e6=g6-i4*=a2*::AUR(16)ai89
5. (9=347)i125-(7)h1=h6 > -9h6, UP81.
10/Jul/11 1:09 AM
kobold  From Shorewood
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* for explanation of Steve's QNP see his blog on this puzzle. A kraken that accomplishes the same is shown here:

kraken Row(7)cgh6 > -7h27, -5h23
(7)c6-(7=2)b4-b5=(2-5)d5=h5
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(7-5)g6=g3
||
(7)h6-(7=5)h1
10/Jul/11 1:13 AM
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