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Tough Sudoku for 14/September/2018

                 
                 
                 
                 
                 
                 
                 
                 
                 

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Submitted by: Gath

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Basics to 46
1. UR(47)af46 using internals:
(2)a4==(3)f6-(3=6)f1-a1=(6-3)a2=(3)a7 =>-2a7; singles to 81
14/Sep/18 12:16 AM
Got interrupted and forgot to restart timer, but it felt much faster than normal...
14/Sep/18 12:56 AM
Canada?
14/Sep/18 12:57 AM
Basics to 46
1. X-chain x=3 => c5<>3 => c5=7 b5=3 h5=7 solve
14/Sep/18 1:02 AM
Regina?
14/Sep/18 5:00 AM
Lovely river, with waterfalls, under a beautiful pink sky.
14/Sep/18 5:19 AM
#47 2?@c8=>a7=3=>b5=3=>c5=5=>c4={}=>c8<>2
14/Sep/18 6:01 AM
1. Unique possibilities to 46.
2. Whether a7=2,c68=18;OR a7=3,a2=6;a1=8.UP81.
14/Sep/18 6:31 AM
Quicker is:
2. Whether bi9=7;h5=7.UP81.
14/Sep/18 6:35 AM
Canada's 4th largest river.
14/Sep/18 9:55 AM
cenoman:
I believe your last strong link, (3)a2 = (3)a7 is incorrect since (3)a1 is still present. Your idea is usable, though, say:
1. (2)a4 == (3)f6 - (3=6)f1 - d3 = (6-2)h3 = (2)h7 => -2a7
14/Sep/18 11:53 AM
all. A gorgeous photo of one of Canada's famous rivers. 🇨🇦 🇨🇦
14/Sep/18 1:05 PM
Hi rwm, you are right. Thanks for spotting...
I ignored 3a1 because it is eliminated by the X-wing (3)ag27. I should have written
(2)a4==(3)f6-(3=6)f1-a1=(6-3)a2=g2-g7=(3)a7 =>-2a7
... but your path is shorter.
14/Sep/18 7:34 PM
Basics to 46
1.correct X-chain x=3 => a1<>3
2.X-chain x=7 => b5h8i6i4<>7 => h5=7 b5=3
c5=5 solve
14/Sep/18 8:21 PM
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