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Tough Sudoku for 1/December/2017

                 
                 
                 
                 
                 
                 
                 
                 
                 

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

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Submitted by: Gath

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👍🏼 Wilidene.
01/Dec/17 1:52 AM
UP40
[(5=7)c6-7c5=(7-16)h5=HP(16)i5.h6]-5h5; UP42
[1d6=1d8-(1=5)i8-5i4=(5-7)h4=7f4]-7d6; UP43
1 -> -{1e5, 1h6}; 6 -> -{6e5, 6h6}; UP49
4 -> b1=4; UP81
01/Dec/17 2:31 AM
Basics to 40
1. (5)b2=b4-(25=7)hi4-h5=c5-(7=5)c6-c7=(5)a7 =>-5a2; basics to 42
2. UR(34)bc15 using internals:
(5=7)c6-(7)c5==(9)b1-b4=(9)a6 =>-5a6; basics to 48
//SS (4)f4=f2-a2=a5 =>-4b4; basics to 53
//XW (1)e9=h9-h6=de6 =>-1e5; (note e245=246, eh1=89, h6=67)
//XW (6)d6=h6-h2=de2 =>-6d1; singles to 81
01/Dec/17 4:22 AM
SE=8.3
Basics to UP=40
1)(1):d6=d8=i8=i5,=>e5<>1
2)(25=7)ih4-h5=c5-(7=5)c6,=>b4<>5
3)(9=4)a2-f2= f4-(4=9)b4,=>b1<>9
4)(6):e2=e5-d8=h6,=>h2<>6.UP=81

01/Dec/17 5:24 AM
Typo,
4) Should be:
(6):e2=e5-d6=h6,=>h2<>6.UP=81
01/Dec/17 6:10 AM
So sweet! Wilodene.
01/Dec/17 7:23 AM
1. Unique possibilities to 40. Using Unresolvable Rectangles:
2. Whether c5=7;OR h5=7,hi4=25,b1=9 or else 34UR @ bc15,a6=9;c6=5.UP48.
3. Whether f24=4;b1=4. UP53.
4. d1=26 or else 89UR @ dh13.
5. Whether h2=2=d1;OR h2=6,f24=7 or else 24UR @ ef24,f6=9;d7=9.UP81.
01/Dec/17 11:39 AM
8:43 With a couple of guesses.
01/Dec/17 3:10 PM
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