The full reasoning can be found below the Sudoku.
Dec 28 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C3 is the only square in column 3 that can be <8>
R2C1 is the only square in column 1 that can be <8>
R4C3 is the only square in column 3 that can be <6>
R8C5 is the only square in column 5 that can be <8>
R1C7 is the only square in column 7 that can be <1>
R3C7 is the only square in column 7 that can be <5>
R3C3 can only be <3>
R3C2 can only be <9>
R9C3 can only be <1>
R6C3 can only be <5>
R2C2 can only be <5>
R8C8 is the only square in row 8 that can be <1>
R8C1 is the only square in row 8 that can be <5>
R6C2 is the only square in column 2 that can be <1>
R5C1 is the only square in block 4 that can be <2>
Squares R4C1 and R4C2 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C4 - removing <3> from <3579> leaving <579>
R4C6 - removing <34> from <345789> leaving <5789>
R4C7 - removing <4> from <479> leaving <79>
R4C8 - removing <34> from <34789> leaving <789>
R6C7 is the only square in column 7 that can be <4>
Squares R7C5 and R7C7 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C1 - removing <7> from <347> leaving <34>
R7C4 - removing <79> from <23679> leaving <236>
R7C8 - removing <79> from <379> leaving <3>
R7C1 can only be <4>
R8C9 can only be <7>
R7C7 can only be <9>
R4C1 can only be <3>
R7C5 can only be <7>
R4C7 can only be <7>
R4C2 can only be <4>
R9C1 can only be <7>
R3C5 can only be <4>
R1C8 is the only square in row 1 that can be <4>
R1C9 is the only square in row 1 that can be <8>
R5C6 is the only square in row 5 that can be <4>
Squares R1C4 and R4C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C4 - removing <9> from <1679> leaving <167>
R5C4 - removing <9> from <139> leaving <13>
R9C4 - removing <9> from <239> leaving <23>
R9C6 is the only square in row 9 that can be <9>
R1C6 can only be <5>
R1C4 can only be <9>
R4C6 can only be <8>
R4C8 can only be <9>
R4C4 can only be <5>
R2C8 can only be <7>
R5C9 can only be <3>
R5C4 can only be <1>
R6C9 can only be <2>
R6C8 can only be <8>
R3C9 can only be <6>
R2C5 can only be <1>
R5C5 can only be <9>
R2C4 can only be <6>
R3C8 can only be <2>
R3C6 can only be <7>
R2C9 can only be <9>
R7C4 can only be <2>
R6C6 can only be <3>
R6C4 can only be <7>
R8C6 can only be <6>
R7C2 can only be <6>
R9C4 can only be <3>
R8C2 can only be <3>
R9C2 can only be <2>
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