Jul 26 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 is the only square in column 1 that can be <8>
R7C2 is the only square in column 2 that can be <3>
R6C6 is the only square in block 5 that can be <6>
R6C8 is the only square in block 6 that can be <4>
R6C1 can only be <9>
R2C2 is the only square in row 2 that can be <4>
R2C8 is the only square in row 2 that can be <7>
R4C1 is the only square in row 4 that can be <4>
R4C2 is the only square in row 4 that can be <2>
R8C6 is the only square in row 8 that can be <4>
R9C3 is the only square in row 9 that can be <4>
R5C2 is the only square in column 2 that can be <5>
Intersection of row 8 with block 7. The value <6> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C3 - removing <6> from <679> leaving <79>
R9C1 - removing <6> from <267> leaving <27>
Intersection of column 2 with block 1. The value <7> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. 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 <7> from <1679> leaving <169>
R3C3 - removing <7> from <179> leaving <19>
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.
R7C7 - removing <5> from <568> leaving <68>
R9C7 - removing <5> from <156> leaving <16>
R9C9 - removing <5> from <1259> leaving <129>
R1C7 is the only square in column 7 that can be <5>
R2C9 can only be <8>
R2C4 can only be <5>
R4C4 can only be <9>
R1C4 can only be <2>
R1C9 can only be <1>
R7C4 can only be <6>
R4C9 can only be <5>
R3C7 can only be <4>
R3C8 can only be <2>
R8C8 can only be <9>
R4C5 can only be <1>
R6C9 can only be <3>
R6C5 can only be <5>
R5C9 can only be <9>
R7C7 can only be <8>
R9C4 can only be <3>
R5C7 can only be <1>
R8C2 can only be <6>
R7C8 can only be <5>
R9C9 can only be <2>
R3C4 can only be <8>
R9C1 can only be <7>
R5C5 can only be <3>
R5C8 can only be <8>
R9C7 can only be <6>
R9C8 can only be <1>
R8C1 can only be <2>
R9C5 can only be <9>
R5C1 can only be <6>
R7C3 can only be <9>
R9C6 can only be <5>
R3C5 can only be <7>
R7C6 can only be <7>
R3C2 can only be <9>
R1C5 can only be <4>
R7C5 can only be <2>
R1C6 can only be <9>
R5C3 can only be <7>
R1C3 can only be <6>
R3C3 can only be <1>
R1C2 can only be <7>
R3C6 can only be <3>
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