Jul 01 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C5 is the only square in row 2 that can be <9>
R3C1 is the only square in row 3 that can be <4>
R6C7 is the only square in row 6 that can be <5>
R3C4 is the only square in row 3 that can be <5>
R8C5 is the only square in row 8 that can be <4>
R8C1 is the only square in column 1 that can be <5>
R7C6 is the only square in row 7 that can be <5>
R9C1 is the only square in column 1 that can be <6>
R9C2 is the only square in row 9 that can be <3>
R7C3 can only be <1>
R8C2 can only be <8>
R3C5 is the only square in row 3 that can be <3>
R1C3 is the only square in row 1 that can be <3>
R1C8 is the only square in row 1 that can be <5>
R2C3 is the only square in row 2 that can be <5>
R7C9 is the only square in row 7 that can be <3>
R5C2 is the only square in column 2 that can be <9>
Intersection of row 1 with block 2. The value <7> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C4 - removing <7> from <167> leaving <16>
Intersection of row 4 with block 5. The value <8> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C4 - removing <8> from <14678> leaving <1467>
R4C4 is the only square in column 4 that can be <8>
Intersection of row 6 with block 5. The value <7> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C5 - removing <7> from <127> leaving <12>
R4C6 - removing <7> from <179> leaving <19>
R5C4 - removing <7> from <1467> leaving <146>
R5C6 - removing <7> from <1367> leaving <136>
R4C3 is the only square in row 4 that can be <7>
R5C3 can only be <4>
R5C9 can only be <2>
R2C8 is the only square in row 2 that can be <2>
R8C8 can only be <6>
R8C6 can only be <1>
R7C8 can only be <8>
R7C5 can only be <6>
R5C8 can only be <7>
R9C7 can only be <1>
R8C7 can only be <2>
R4C6 can only be <9>
R9C6 can only be <7>
R9C5 can only be <8>
R3C7 can only be <7>
R3C2 can only be <1>
R5C7 can only be <8>
R4C9 can only be <4>
R6C6 can only be <3>
R6C9 can only be <9>
R6C1 can only be <2>
R5C6 can only be <6>
R2C2 can only be <7>
R5C4 can only be <1>
R6C5 can only be <7>
R4C1 can only be <1>
R6C4 can only be <4>
R1C5 can only be <1>
R1C9 can only be <6>
R4C5 can only be <2>
R2C4 can only be <6>
R1C4 can only be <7>
R2C9 can only be <1>
R5C1 can only be <3>
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