Jul 13 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C3 can only be <1>
R7C2 can only be <3>
R2C1 is the only square in row 2 that can be <3>
R5C8 is the only square in row 5 that can be <9>
R7C9 is the only square in row 7 that can be <4>
R8C1 is the only square in column 1 that can be <9>
R9C9 is the only square in column 9 that can be <2>
R3C7 is the only square in column 7 that can be <2>
Squares R2C7 and R2C9 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C2 - removing <7> from <147> leaving <14>
R2C5 - removing <6> from <146> leaving <14>
Squares R6C8 and R9C8 in column 8 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.
R1C8 - removing <7> from <1467> leaving <146>
R3C8 - removing <7> from <147> leaving <14>
R8C8 - removing <7> from <67> leaving <6>
R8C5 can only be <8>
R7C7 can only be <9>
R8C3 can only be <5>
R8C9 can only be <7>
R9C2 can only be <8>
R2C9 can only be <6>
R9C8 can only be <3>
R9C7 can only be <5>
R6C8 can only be <7>
R2C7 can only be <7>
R6C7 can only be <3>
R4C7 can only be <6>
R4C5 is the only square in row 4 that can be <3>
Intersection of row 4 with block 4. The values <57> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R5C1 - removing <5> from <1258> leaving <128>
R5C2 - removing <5> from <15> leaving <1>
R2C2 can only be <4>
R2C5 can only be <1>
R9C5 can only be <9>
R9C6 can only be <7>
R9C4 can only be <1>
R3C6 can only be <4>
R3C5 can only be <5>
R3C8 can only be <1>
R4C6 can only be <8>
R1C8 can only be <4>
R4C1 can only be <5>
R5C6 can only be <6>
R1C6 can only be <9>
R3C1 can only be <8>
R1C5 can only be <6>
R4C2 can only be <7>
R4C3 can only be <4>
R1C2 can only be <5>
R1C4 can only be <7>
R7C5 can only be <2>
R3C3 can only be <7>
R5C1 can only be <2>
R1C3 can only be <2>
R5C4 can only be <5>
R1C1 can only be <1>
R6C3 can only be <8>
R5C9 can only be <8>
R6C4 can only be <2>
R6C9 can only be <5>
R6C5 can only be <4>
R7C4 can only be <6>
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