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Daily Sudoku Answer 



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Oct 20 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C3 can only be <1>

R3C7 can only be <7>

R1C1 is the only square in row 1 that can be <2>

R4C6 is the only square in row 4 that can be <2>

R9C8 is the only square in row 9 that can be <2>

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

R2C9 is the only square in column 9 that can be <1>

Squares R4C2 and R6C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C2 - removing <3> from <34689> leaving <4689>

R2C2 - removing <3> from <34689> leaving <4689>

R8C2 - removing <37> from <36789> leaving <689>

R9C2 - removing <37> from <34679> leaving <469>

R2C1 is the only square in row 2 that can be <3>

Intersection of block 2 with row 2. The value <4> only appears in one or more of squares R2C4, R2C5 and R2C6 of block 2. These squares are the ones that intersect with row 2. Thus, the other (non-intersecting) squares of row 2 cannot contain this value.

R2C2 - removing <4> from <4689> leaving <689>

Intersection of block 8 with row 8. The value <5> only appears in one or more of squares R8C4, R8C5 and R8C6 of block 8. These squares are the ones that intersect with row 8. Thus, the other (non-intersecting) squares of row 8 cannot contain this value.

R8C1 - removing <5> from <578> leaving <78>

R8C8 - removing <5> from <5678> leaving <678>

R1C8 is the only square in column 8 that can be <5>

Squares R1C3 and R9C3 in column 3 and R1C7 and R9C7 in column 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 1 and 9 can be removed.

R1C2 - removing <6> from <4689> leaving <489>

R9C2 - removing <6> from <469> leaving <49>

R1C9 - removing <6> from <3468> leaving <348>

R9C9 - removing <6> from <3679> leaving <379>

Squares R3C1 and R3C9 in row 3 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 9 can be removed.

R1C9 - removing <8> from <348> leaving <34>

R8C1 - removing <8> from <78> leaving <7>

R8C9 - removing <8> from <36789> leaving <3679>

R9C9 is the only square in row 9 that can be <7>

R5C9 can only be <6>

R5C6 can only be <5>

R5C4 can only be <8>

R8C6 can only be <9>

R8C9 can only be <3>

R2C6 can only be <4>

R9C5 can only be <3>

R8C4 can only be <5>

R1C9 can only be <4>

R7C7 can only be <5>

R3C9 can only be <8>

R6C6 can only be <6>

R3C1 can only be <4>

R7C9 can only be <9>

R2C8 can only be <6>

R5C5 can only be <7>

R2C4 can only be <9>

R6C5 can only be <1>

R6C8 can only be <7>

R4C5 can only be <9>

R6C2 can only be <3>

R4C8 can only be <1>

R7C1 can only be <8>

R9C7 can only be <6>

R7C3 can only be <3>

R9C3 can only be <9>

R1C7 can only be <3>

R8C8 can only be <8>

R4C4 can only be <3>

R1C5 can only be <8>

R2C2 can only be <8>

R9C1 can only be <5>

R4C2 can only be <7>

R6C4 can only be <4>

R8C2 can only be <6>

R9C2 can only be <4>

R1C3 can only be <6>

R1C2 can only be <9>



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