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The full reasoning can be found below the Sudoku.
Nov 01 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 is the only square in row 1 that can be <3>
R2C1 is the only square in row 2 that can be <1>
R3C7 is the only square in row 3 that can be <5>
R7C7 can only be <8>
R7C8 can only be <6>
R7C2 can only be <2>
R7C3 can only be <5>
R7C5 can only be <1>
R5C4 is the only square in row 5 that can be <3>
R5C7 is the only square in row 5 that can be <9>
R6C4 is the only square in row 6 that can be <9>
R8C9 is the only square in row 8 that can be <9>
R1C8 is the only square in row 1 that can be <9>
R9C9 is the only square in row 9 that can be <5>
R9C2 is the only square in row 9 that can be <9>
R8C3 is the only square in block 7 that can be <6>
Squares R8C1 and R9C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C1 - removing <48> from <2458> leaving <25>
R6C1 - removing <48> from <2458> leaving <25>
Squares R4C1 and R6C1 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C3 - removing <2> from <24> leaving <4>
Squares R4C2 and R6C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C2 - removing <7> from <467> leaving <46>
Squares R5C5 and R5C6 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C4 - removing <28> from <25678> leaving <567>
R4C5 - removing <28> from <2468> leaving <46>
R4C6 - removing <28> from <1245678> leaving <14567>
R6C5 - removing <28> from <248> leaving <4>
R6C6 - removing <28> from <124578> leaving <1457>
R4C5 can only be <6>
R3C5 can only be <2>
R3C3 can only be <7>
R5C5 can only be <8>
R5C6 can only be <2>
R3C8 can only be <4>
R2C3 can only be <2>
R3C2 can only be <6>
R9C8 can only be <7>
R2C7 can only be <7>
R8C7 can only be <4>
R2C9 can only be <6>
R2C4 can only be <8>
R1C9 can only be <2>
R1C2 can only be <4>
R8C1 can only be <8>
R6C9 can only be <1>
R2C6 can only be <4>
R9C4 can only be <6>
R4C9 can only be <4>
R8C6 can only be <7>
R9C1 can only be <4>
R8C4 can only be <2>
R6C6 can only be <5>
R9C6 can only be <8>
R1C4 can only be <5>
R1C6 can only be <6>
R4C4 can only be <7>
R4C2 can only be <8>
R6C1 can only be <2>
R4C6 can only be <1>
R4C8 can only be <2>
R6C2 can only be <7>
R4C1 can only be <5>
R6C8 can only be <8>
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