The full reasoning can be found below the Sudoku.
Apr 05 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C6 can only be <3>
R6C4 can only be <7>
R6C3 can only be <1>
R4C3 can only be <4>
R8C3 can only be <5>
R2C5 is the only square in row 2 that can be <1>
R2C4 is the only square in row 2 that can be <3>
R3C8 is the only square in row 3 that can be <8>
R4C8 can only be <1>
R5C8 is the only square in row 5 that can be <4>
R2C2 is the only square in column 2 that can be <6>
R2C8 is the only square in column 8 that can be <9>
R2C7 is the only square in block 3 that can be <7>
Squares R3C1 and R3C4 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C5 - removing <2> from <267> leaving <67>
R3C6 - removing <9> from <679> leaving <67>
Squares R7C4 and R7C6 in row 7 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 row.
R7C9 - removing <5> from <135> leaving <13>
Squares R3C5 and R3C6 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C5 - removing <7> from <27> leaving <2>
R1C6 - removing <7> from <4579> leaving <459>
R1C9 can only be <5>
R3C4 can only be <9>
R2C9 can only be <2>
R2C1 can only be <4>
R3C1 can only be <2>
R7C4 can only be <5>
R1C6 can only be <4>
R7C6 can only be <9>
R9C4 can only be <4>
R9C1 can only be <3>
R8C4 can only be <2>
R1C2 can only be <7>
R2C6 can only be <5>
R8C1 can only be <8>
R1C3 can only be <9>
R5C3 can only be <7>
R5C1 can only be <9>
R7C2 can only be <1>
R7C9 can only be <3>
R8C2 can only be <4>
R7C5 can only be <8>
R5C9 can only be <6>
R8C8 can only be <7>
R8C6 can only be <6>
R9C8 can only be <5>
R9C7 can only be <6>
R6C8 can only be <3>
R5C7 can only be <8>
R8C9 can only be <1>
R6C2 can only be <2>
R8C5 can only be <3>
R3C6 can only be <7>
R9C5 can only be <7>
R3C5 can only be <6>
R5C2 can only be <3>
R4C7 can only be <2>
R6C7 can only be <5>
R4C2 can only be <8>
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