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Daily Sudoku Answer 



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Oct 31 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s022869



Reasoning 



R4C9 can only be <4>

R7C7 can only be <9>

R9C7 can only be <5>

R6C9 is the only square in row 6 that can be <5>

R8C8 is the only square in row 8 that can be <4>

R8C4 is the only square in row 8 that can be <5>

R5C7 is the only square in block 6 that can be <1>

Squares R1C7 and R3C7 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C8 - removing <8> from <278> leaving <27>

R2C8 - removing <8> from <2678> leaving <267>

Intersection of column 3 with block 1. The value <1> only appears in one or more of squares R1C3, R2C3 and R3C3 of column 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <1> from <12478> leaving <2478>

R2C1 - removing <1> from <12789> leaving <2789>

R2C2 - removing <1> from <124789> leaving <24789>

R3C1 - removing <1> from <178> leaving <78>

Intersection of column 9 with block 9. The value <3> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R9C8 - removing <3> from <236> leaving <26>

Intersection of row 9 with block 8. The value <3> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C5 - removing <3> from <2367> leaving <267>

R8C5 - removing <3> from <2369> leaving <269>

R8C6 - removing <3> from <36> leaving <6>

Intersection of column 5 with block 5. The value <3> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <3> from <3469> leaving <469>

R5C6 - removing <3> from <38> leaving <8>

Squares R5C3 and R9C3 in column 3 and R5C4 and R9C4 in column 4 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in rows 5 and 9 can be removed.

R5C2 - removing <9> from <269> leaving <26>

R9C2 - removing <9> from <2679> leaving <267>

R5C5 - removing <9> from <3469> leaving <346>

R5C8 - removing <9> from <39> leaving <3>

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

Squares R1C2, R1C3 and R1C8 in row 1, R5C2 and R5C3 in row 5 and R9C2, R9C3 and R9C8 in row 9 form a Swordfish pattern on possibility <2>. All other instances of this possibility in columns 2, 3 and 8 can be removed.

R2C2 - removing <2> from <24789> leaving <4789>

R2C8 - removing <2> from <267> leaving <67>

R7C3 - removing <2> from <267> leaving <67>

R8C2 - removing <2> from <129> leaving <19>

Squares R2C8 (XY), R3C9 (XZ) and R2C6 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R2C9 - removing <1> from <126> leaving <26>

R2C6 is the only square in row 2 that can be <1>

R1C3 is the only square in row 1 that can be <1>

R3C3 can only be <7>

R3C1 can only be <8>

R7C3 can only be <6>

R3C7 can only be <4>

R3C5 can only be <6>

R1C7 can only be <8>

R3C9 can only be <1>

R4C5 can only be <9>

R5C5 can only be <4>

R2C4 can only be <4>

R4C1 can only be <7>

R4C8 can only be <8>

R8C5 can only be <2>

R6C8 can only be <9>

R5C4 can only be <6>

R6C1 can only be <1>

R8C9 can only be <3>

R7C5 can only be <7>

R7C9 can only be <2>

R2C2 can only be <9>

R1C4 can only be <3>

R4C2 can only be <6>

R5C2 can only be <2>

R5C3 can only be <9>

R1C2 can only be <4>

R9C2 can only be <7>

R9C3 can only be <2>

R6C2 can only be <8>

R8C1 can only be <9>

R2C5 can only be <8>

R9C6 can only be <3>

R7C1 can only be <3>

R2C9 can only be <6>

R9C8 can only be <6>

R8C2 can only be <1>

R2C1 can only be <2>

R9C4 can only be <9>

R1C6 can only be <7>

R2C8 can only be <7>

R1C8 can only be <2>



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