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Daily Sudoku Answer 



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Jun 23 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s110645



Reasoning 



R5C9 can only be <1>

R4C6 is the only square in row 4 that can be <7>

R6C5 is the only square in row 6 that can be <3>

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

R8C4 is the only square in row 8 that can be <9>

R9C5 can only be <8>

R9C8 can only be <4>

R9C2 can only be <9>

Squares R1C8 and R2C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C8 - removing <56> from <13569> leaving <139>

R3C8 - removing <56> from <356> leaving <3>

R3C7 can only be <4>

R2C3 is the only square in row 2 that can be <3>

R2C2 is the only square in row 2 that can be <8>

R8C7 is the only square in row 8 that can be <3>

Intersection of row 3 with block 1. The value <2> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C1 - removing <2> from <246> leaving <46>

R5C1 is the only square in column 1 that can be <2>

Squares R2C1 and R8C1 in column 1 and R2C9 and R8C9 in column 9 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 2 and 8 can be removed.

R8C3 - removing <6> from <468> leaving <48>

R2C4 - removing <6> from <2456> leaving <245>

R8C8 - removing <6> from <1568> leaving <158>

Intersection of column 4 with block 5. The value <6> 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.

R5C5 - removing <6> from <4569> leaving <459>

Squares R1C2, R1C5 and R1C8 in row 1, R3C2 and R3C5 in row 3 and R7C5 and R7C8 in row 7 form a Swordfish pattern on possibility <5>. All other instances of this possibility in columns 2, 5 and 8 can be removed.

R5C5 - removing <5> from <459> leaving <49>

R8C8 - removing <5> from <158> leaving <18>

Squares R7C7 and R8C8 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C8 - removing <18> from <1568> leaving <56>

Squares R4C4 (XY), R4C8 (XZ) and R5C5 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.

R5C7 - removing <9> from <89> leaving <8>

R4C5 - removing <9> from <149> leaving <14>

R5C6 can only be <5>

R7C7 can only be <1>

R6C8 can only be <2>

R6C4 can only be <6>

R4C8 can only be <9>

R7C5 can only be <5>

R2C7 can only be <9>

R8C8 can only be <8>

R8C3 can only be <4>

R2C8 can only be <1>

R2C6 can only be <2>

R8C6 can only be <1>

R6C2 can only be <1>

R5C4 can only be <4>

R7C8 can only be <6>

R3C5 can only be <6>

R7C2 can only be <2>

R1C8 can only be <5>

R8C9 can only be <5>

R8C1 can only be <6>

R5C3 can only be <6>

R6C6 can only be <8>

R2C9 can only be <6>

R2C1 can only be <4>

R3C3 can only be <2>

R1C5 can only be <4>

R5C5 can only be <9>

R2C4 can only be <5>

R4C4 can only be <2>

R4C5 can only be <1>

R4C2 can only be <4>

R7C3 can only be <8>

R3C2 can only be <5>

R1C2 can only be <6>



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