The full reasoning can be found below the Sudoku.
Apr 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C1 can only be <5>
R9C9 can only be <5>
R8C9 can only be <4>
R3C9 can only be <3>
R2C8 is the only square in row 2 that can be <9>
R3C5 is the only square in row 3 that can be <7>
R2C2 is the only square in row 2 that can be <7>
R4C7 is the only square in row 4 that can be <3>
R5C7 is the only square in row 5 that can be <7>
R5C3 is the only square in row 5 that can be <5>
R4C8 is the only square in row 4 that can be <5>
R3C8 can only be <6>
R1C8 can only be <2>
R6C8 can only be <8>
R6C7 can only be <2>
R8C8 can only be <1>
R9C8 can only be <7>
R6C4 is the only square in row 6 that can be <3>
R7C6 is the only square in row 7 that can be <7>
R8C2 is the only square in row 8 that can be <3>
R7C2 is the only square in column 2 that can be <5>
R4C3 is the only square in column 3 that can be <2>
R4C6 can only be <4>
R4C2 can only be <8>
R8C6 is the only square in column 6 that can be <9>
Squares R2C4 and R2C6 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C3 - removing <6> from <346> leaving <34>
R2C5 - removing <2> from <234> leaving <34>
Squares R7C1 and R7C5 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C3 - removing <18> from <1689> leaving <69>
R7C7 - removing <8> from <689> leaving <69>
Squares R3C3 and R6C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C3 - removing <14> from <13468> leaving <368>
R2C3 - removing <4> from <34> leaving <3>
R9C3 - removing <1> from <1689> leaving <689>
R2C5 can only be <4>
R1C5 is the only square in row 1 that can be <3>
R1C7 is the only square in row 1 that can be <5>
R3C7 can only be <4>
R3C3 can only be <1>
R3C4 can only be <5>
R6C3 can only be <4>
R1C1 can only be <8>
R6C2 can only be <1>
R1C3 can only be <6>
R7C1 can only be <1>
R1C2 can only be <4>
R1C6 can only be <1>
R7C3 can only be <9>
R5C6 can only be <2>
R2C6 can only be <6>
R9C2 can only be <6>
R7C5 can only be <8>
R7C7 can only be <6>
R9C3 can only be <8>
R5C5 can only be <1>
R8C5 can only be <5>
R8C4 can only be <6>
R8C7 can only be <8>
R2C4 can only be <2>
R9C7 can only be <9>
R9C4 can only be <1>
R5C4 can only be <8>
R9C5 can only be <2>
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