Jul 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C9 can only be <8>
R1C9 is the only square in row 1 that can be <6>
R5C9 can only be <5>
R9C9 can only be <9>
R7C9 can only be <1>
R2C8 is the only square in row 2 that can be <1>
R2C2 is the only square in row 2 that can be <3>
R7C1 is the only square in row 7 that can be <7>
Squares R3C1 and R3C2 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C5 - removing <49> from <2479> leaving <27>
R1C5 is the only square in block 2 that can be <4>
Squares R3C1 and R3C2 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C3 - removing <9> from <2589> leaving <258>
Intersection of row 1 with block 1. The value <8> 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.
R2C3 - removing <8> from <258> leaving <25>
Intersection of column 8 with block 9. The value <5> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C7 - removing <5> from <2458> leaving <248>
R9C7 - removing <5> from <458> leaving <48>
Intersection of block 4 with column 2. The values <15> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain these values.
R7C2 - removing <5> from <59> leaving <9>
R8C2 - removing <5> from <45689> leaving <4689>
R3C2 can only be <4>
R3C1 can only be <9>
R5C1 can only be <8>
R1C1 can only be <5>
R1C7 can only be <2>
R9C1 can only be <4>
R2C3 can only be <2>
R1C3 can only be <8>
R3C8 can only be <7>
R2C6 can only be <9>
R4C6 can only be <6>
R3C5 can only be <2>
R2C7 can only be <5>
R4C2 can only be <5>
R4C8 can only be <8>
R6C6 can only be <4>
R6C8 can only be <6>
R5C8 can only be <4>
R9C7 can only be <8>
R8C7 can only be <4>
R7C5 can only be <5>
R6C2 can only be <1>
R5C7 can only be <7>
R5C2 can only be <6>
R7C8 can only be <2>
R6C5 can only be <8>
R9C5 can only be <6>
R8C8 can only be <5>
R8C3 can only be <6>
R9C3 can only be <5>
R5C3 can only be <9>
R8C2 can only be <8>
R5C4 can only be <2>
R6C4 can only be <5>
R2C5 can only be <7>
R2C4 can only be <8>
R4C5 can only be <9>
R4C4 can only be <7>
R8C5 can only be <3>
R5C6 can only be <3>
R8C4 can only be <9>
R5C5 can only be <1>
R8C6 can only be <2>
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