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Daily Sudoku Answer 



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Aug 26 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R7C8 is the only square in row 7 that can be <1>

R9C5 is the only square in row 9 that can be <5>

R5C1 is the only square in column 1 that can be <6>

R8C8 is the only square in column 8 that can be <6>

R4C9 is the only square in column 9 that can be <4>

R6C2 is the only square in row 6 that can be <4>

R8C7 is the only square in row 8 that can be <4>

R1C5 is the only square in row 1 that can be <4>

R2C8 is the only square in row 2 that can be <4>

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

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

R3C8 is the only square in row 3 that can be <2>

R7C3 is the only square in row 7 that can be <4>

R5C2 is the only square in column 2 that can be <2>

R3C3 is the only square in column 3 that can be <1>

R5C9 is the only square in column 9 that can be <3>

Squares R4C3 and R4C8 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C4 - removing <9> from <3569> leaving <356>

R4C5 - removing <9> from <369> leaving <36>

R4C6 - removing <9> from <569> leaving <56>

Intersection of row 1 with block 1. The value <9> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R3C2 - removing <9> from <579> leaving <57>

Intersection of row 2 with block 2. The values <157> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.

R3C4 - removing <5> from <569> leaving <69>

R3C5 - removing <7> from <679> leaving <69>

Squares R4C3 and R9C3 in column 3 and R4C8 and R9C8 in column 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 4 and 9 can be removed.

R9C9 - removing <7> from <78> leaving <8>

R3C9 can only be <7>

R3C2 can only be <5>

R1C7 can only be <5>

R3C7 can only be <8>

R6C5 is the only square in row 6 that can be <8>

R5C5 can only be <9>

R5C8 can only be <8>

R3C5 can only be <6>

R6C4 can only be <1>

R6C6 can only be <2>

R2C4 can only be <5>

R2C6 can only be <7>

R2C5 can only be <1>

R8C6 can only be <9>

R3C4 can only be <9>

R4C5 can only be <3>

R4C4 can only be <6>

R7C5 can only be <7>

R7C7 can only be <9>

R8C5 can only be <2>

R7C1 can only be <5>

R7C2 can only be <3>

R7C6 can only be <6>

R6C7 can only be <7>

R9C8 can only be <7>

R8C4 can only be <3>

R9C3 can only be <9>

R4C8 can only be <9>

R4C6 can only be <5>

R4C3 can only be <7>

R6C1 can only be <9>

R8C2 can only be <7>

R1C2 can only be <9>

R1C1 can only be <7>



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