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Daily Sudoku Answer 



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Jul 28 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R1C6 is the only square in row 1 that can be <8>

R2C7 is the only square in row 2 that can be <6>

R2C8 is the only square in row 2 that can be <7>

R4C2 is the only square in column 2 that can be <1>

R4C9 can only be <6>

R3C5 is the only square in column 5 that can be <1>

R1C9 is the only square in column 9 that can be <9>

Intersection of row 2 with block 1. The value <3> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R3C1 - removing <3> from <2349> leaving <249>

Intersection of column 1 with block 1. The value <2> 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.

R1C3 - removing <2> from <24> leaving <4>

R3C8 is the only square in block 3 that can be <4>

R3C7 is the only square in row 3 that can be <3>

R9C7 can only be <7>

R7C4 is the only square in row 7 that can be <7>

Squares R7C2 and R7C9 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C5 - removing <3> from <235> leaving <25>

Intersection of row 9 with block 7. The value <3> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C2 - removing <3> from <34> leaving <4>

R8C2 - removing <3> from <34689> leaving <4689>

R7C9 can only be <3>

R6C9 can only be <7>

R8C8 can only be <1>

R8C9 can only be <4>

R1C8 can only be <2>

R1C7 can only be <1>

R4C8 can only be <5>

R6C8 can only be <3>

R5C9 can only be <1>

R5C7 can only be <8>

R4C7 can only be <2>

R5C3 is the only square in row 5 that can be <7>

R5C5 is the only square in row 5 that can be <6>

R5C6 is the only square in row 5 that can be <3>

R8C5 is the only square in row 8 that can be <3>

R2C6 is the only square in column 6 that can be <4>

R6C6 is the only square in column 6 that can be <5>

R5C4 can only be <4>

R5C1 can only be <5>

R4C1 is the only square in row 4 that can be <4>

R6C5 is the only square in row 6 that can be <2>

R7C5 can only be <5>

R7C3 can only be <2>

R2C5 can only be <9>

R2C2 can only be <3>

R4C5 can only be <8>

R3C6 can only be <2>

R3C1 can only be <9>

R8C6 can only be <9>

R2C4 can only be <5>

R4C4 can only be <9>

R8C3 can only be <6>

R9C4 can only be <8>

R8C4 can only be <2>

R2C1 can only be <2>

R9C2 can only be <9>

R6C1 can only be <8>

R9C1 can only be <3>

R8C2 can only be <8>

R6C3 can only be <9>

R9C3 can only be <5>

R6C2 can only be <6>



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