Jul 19 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C1 can only be <5>
R8C9 can only be <1>
R4C9 can only be <7>
R2C9 can only be <9>
R5C7 can only be <1>
R5C3 can only be <7>
R1C9 can only be <2>
R6C3 can only be <1>
R6C2 can only be <2>
R3C8 is the only square in row 3 that can be <1>
R3C6 is the only square in row 3 that can be <2>
R4C6 is the only square in row 4 that can be <1>
R6C7 is the only square in row 6 that can be <9>
Squares R2C2 and R4C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C2 - removing <36> from <1367> leaving <17>
R8C2 - removing <6> from <679> leaving <79>
R9C2 - removing <36> from <1369> leaving <19>
Intersection of column 2 with block 7. The values <179> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R8C3 - removing <9> from <45689> leaving <4568>
R9C3 - removing <9> from <34569> leaving <3456>
Intersection of column 8 with block 3. The value <3> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C7 - removing <3> from <3678> leaving <678>
R2C7 - removing <3> from <35678> leaving <5678>
R3C7 - removing <3> from <368> leaving <68>
R3C3 is the only square in row 3 that can be <3>
R4C3 can only be <6>
R2C2 can only be <6>
R4C2 can only be <3>
R2C1 can only be <8>
R8C1 can only be <6>
R1C3 can only be <9>
R8C8 can only be <4>
R9C1 can only be <3>
R6C8 can only be <8>
R9C7 can only be <6>
R3C7 can only be <8>
R7C7 can only be <3>
R3C5 can only be <6>
R1C7 can only be <7>
R4C8 can only be <5>
R2C7 can only be <5>
R2C8 can only be <3>
R4C7 can only be <4>
R1C8 can only be <6>
R3C4 can only be <9>
R1C4 can only be <8>
R4C5 can only be <8>
R1C6 can only be <3>
R7C4 is the only square in row 7 that can be <6>
R7C2 is the only square in row 7 that can be <1>
R9C2 can only be <9>
R9C6 can only be <4>
R8C2 can only be <7>
R9C3 can only be <5>
R2C6 can only be <7>
R7C5 can only be <7>
R2C4 can only be <4>
R7C6 can only be <8>
R6C5 can only be <4>
R8C4 can only be <5>
R7C3 can only be <4>
R8C6 can only be <9>
R8C3 can only be <8>
R9C4 can only be <1>
R6C4 can only be <7>
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