The full reasoning can be found below the Sudoku.
Mar 30 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R9C9 can only be <5>
R1C9 is the only square in row 1 that can be <7>
R2C3 is the only square in row 2 that can be <8>
R3C2 is the only square in row 3 that can be <4>
R3C6 is the only square in row 3 that can be <5>
R3C9 is the only square in row 3 that can be <9>
R7C2 is the only square in row 7 that can be <5>
R7C4 is the only square in row 7 that can be <9>
R9C1 is the only square in row 9 that can be <7>
Intersection of row 2 with block 3. The value <1> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. 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 <1> from <1236> leaving <236>
R3C8 - removing <1> from <136> leaving <36>
Squares R3C4 and R3C8 in row 3 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 row.
R3C1 - removing <36> from <1236> leaving <12>
R3C5 - removing <36> from <1236> leaving <12>
Squares R5C1<36>, R5C6<38> and R5C9<68> in row 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <368>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C3 - removing <36> from <3569> leaving <59>
R5C4 - removing <36> from <346> leaving <4>
R5C7 - removing <6> from <4569> leaving <459>
R4C5 can only be <6>
R9C5 is the only square in column 5 that can be <4>
R9C7 can only be <3>
R9C3 can only be <2>
R4C3 can only be <9>
R4C7 can only be <4>
R5C3 can only be <5>
R4C8 can only be <7>
R4C2 can only be <2>
R5C7 can only be <9>
R6C7 is the only square in row 6 that can be <5>
R6C2 is the only square in row 6 that can be <7>
R8C8 is the only square in row 8 that can be <4>
R8C6 is the only square in row 8 that can be <8>
R5C6 can only be <3>
R5C1 can only be <6>
R7C6 can only be <2>
R6C5 can only be <8>
R6C8 can only be <6>
R6C3 can only be <3>
R3C8 can only be <3>
R5C9 can only be <8>
R7C5 can only be <3>
R2C6 can only be <7>
R3C4 can only be <6>
R2C8 can only be <1>
R7C9 can only be <6>
R7C1 can only be <1>
R8C4 can only be <7>
R8C7 can only be <1>
R8C3 can only be <6>
R7C8 can only be <8>
R2C4 can only be <3>
R3C1 can only be <2>
R8C2 can only be <3>
R1C3 can only be <1>
R1C5 can only be <2>
R1C1 can only be <3>
R1C7 can only be <6>
R3C5 can only be <1>
R2C7 can only be <2>
R2C2 can only be <6>
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