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Daily Sudoku Answer 



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Aug 20 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s269242



Reasoning 



R8C9 can only be <9>

R9C8 can only be <8>

R8C8 can only be <4>

R7C7 can only be <2>

R3C3 is the only square in row 3 that can be <7>

R7C3 can only be <9>

R5C3 can only be <4>

R6C3 can only be <1>

R6C8 can only be <6>

R4C3 can only be <2>

R1C8 can only be <5>

R2C8 can only be <7>

R2C9 can only be <3>

R5C8 can only be <9>

R5C9 can only be <7>

R3C7 can only be <6>

R4C8 can only be <1>

R3C4 is the only square in row 3 that can be <9>

R4C2 is the only square in row 4 that can be <9>

R4C6 is the only square in row 4 that can be <6>

R7C4 is the only square in row 7 that can be <7>

R8C2 is the only square in row 8 that can be <7>

R2C2 is the only square in column 2 that can be <4>

Squares R8C1 and R8C4 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C5 - removing <23> from <1238> leaving <18>

R8C6 - removing <3> from <138> leaving <18>

Intersection of column 4 with block 5. The value <4> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R6C6 - removing <4> from <3458> leaving <358>

Squares R1C2 and R1C5 in row 1 and R9C2 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 2 and 5 can be removed.

R2C5 - removing <2> from <1256> leaving <156>

Squares R4C4, R4C7, R6C4 and R6C7 form a Type-4 Unique Rectangle on <34>.

R6C4 - removing <3> from <345> leaving <45>

R6C7 - removing <3> from <348> leaving <48>

Squares R3C5 and R3C6 in row 3, R6C2 and R6C6 in row 6 and R9C2 and R9C5 in row 9 form a Swordfish pattern on possibility <3>. All other instances of this possibility in columns 2, 5 and 6 can be removed.

R5C2 - removing <3> from <356> leaving <56>

R5C5 - removing <3> from <358> leaving <58>

Squares R6C4 (XY), R6C7 (XZ) and R5C5 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R5C7 - removing <8> from <38> leaving <3>

R6C6 - removing <8> from <358> leaving <35>

R5C1 can only be <6>

R4C7 can only be <4>

R4C4 can only be <3>

R6C7 can only be <8>

R5C2 can only be <5>

R2C1 can only be <2>

R5C5 can only be <8>

R6C2 can only be <3>

R8C5 can only be <1>

R6C6 can only be <5>

R9C2 can only be <2>

R6C4 can only be <4>

R2C6 can only be <1>

R7C6 can only be <4>

R7C5 can only be <5>

R3C6 can only be <3>

R8C6 can only be <8>

R9C5 can only be <3>

R1C2 can only be <6>

R8C1 can only be <3>

R3C5 can only be <4>

R8C4 can only be <2>

R1C5 can only be <2>

R2C4 can only be <5>

R2C5 can only be <6>



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