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Daily Sudoku Answer 



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Aug 23 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C6 can only be <2>

R6C4 can only be <6>

R8C4 can only be <8>

R4C6 can only be <8>

R6C6 can only be <9>

R1C5 can only be <6>

R4C4 can only be <5>

R2C4 can only be <7>

R8C6 can only be <1>

R3C5 can only be <3>

R5C5 can only be <2>

R2C9 is the only square in row 2 that can be <3>

R3C3 is the only square in row 3 that can be <9>

R7C1 is the only square in row 7 that can be <1>

R8C9 is the only square in row 8 that can be <2>

R1C3 is the only square in column 3 that can be <8>

R1C7 can only be <1>

R1C8 can only be <5>

R1C2 can only be <2>

Intersection of column 1 with block 1. The value <4> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C2 - removing <4> from <456> leaving <56>

Squares R3C7<468>, R5C7<78>, R7C7<47> and R9C7<468> in column 7 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <4678>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R4C7 - removing <47> from <2347> leaving <23>

R6C7 - removing <4> from <234> leaving <23>

Intersection of block 6 with column 8. The values <14> only appears in one or more of squares R4C8, R5C8 and R6C8 of block 6. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain these values.

R2C8 - removing <4> from <46> leaving <6>

R9C8 - removing <4> from <4689> leaving <689>

R2C2 can only be <5>

R2C1 can only be <4>

R3C1 can only be <6>

R8C1 can only be <7>

R8C8 can only be <9>

R5C1 can only be <5>

R8C2 can only be <6>

R9C8 can only be <8>

R7C9 can only be <4>

R7C3 can only be <5>

R7C7 can only be <7>

R3C9 can only be <8>

R9C7 can only be <6>

R5C2 can only be <1>

R3C7 can only be <4>

R5C9 can only be <9>

R5C8 can only be <7>

R5C3 can only be <6>

R5C7 can only be <8>

R4C8 can only be <4>

R7C5 can only be <9>

R9C3 can only be <4>

R9C5 can only be <5>

R9C2 can only be <9>

R6C3 can only be <2>

R4C2 can only be <3>

R6C8 can only be <1>

R6C7 can only be <3>

R4C3 can only be <7>

R6C2 can only be <4>

R4C7 can only be <2>



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