The full reasoning can be found below the Sudoku.
Sep 02 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C5 is the only square in row 3 that can be <3>
R4C3 is the only square in row 4 that can be <6>
R4C5 is the only square in row 4 that can be <9>
R4C6 is the only square in row 4 that can be <1>
R6C4 can only be <5>
R4C7 is the only square in row 4 that can be <2>
R5C3 is the only square in row 5 that can be <9>
R6C7 is the only square in row 6 that can be <4>
R6C5 is the only square in row 6 that can be <8>
R5C5 can only be <2>
R5C2 can only be <5>
R9C7 is the only square in row 9 that can be <9>
R7C4 is the only square in row 7 that can be <9>
R6C3 is the only square in column 3 that can be <3>
R7C2 is the only square in column 2 that can be <3>
R3C3 is the only square in column 3 that can be <2>
R6C2 is the only square in column 2 that can be <2>
R6C1 can only be <1>
Squares R7C1 and R8C1 in column 1 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 column.
R2C1 - removing <5> from <579> leaving <79>
R3C1 - removing <5> from <579> leaving <79>
Squares R7C1 and R8C1 in block 7 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.
R9C3 - removing <5> from <145> leaving <14>
Squares R9C2 and R9C3 in row 9 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 row.
R9C5 - removing <14> from <1457> leaving <57>
R9C8 - removing <14> from <1457> leaving <57>
Squares R7C9 and R9C8 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C7 - removing <57> from <157> leaving <1>
R7C8 - removing <57> from <14567> leaving <146>
R8C7 - removing <5> from <158> leaving <18>
R8C8 - removing <5> from <134568> leaving <13468>
R8C9 - removing <5> from <358> leaving <38>
R8C7 can only be <8>
R8C9 can only be <3>
R5C7 can only be <7>
R4C9 can only be <5>
R4C8 can only be <3>
R7C9 can only be <7>
R5C8 can only be <8>
R1C7 can only be <5>
R9C8 can only be <5>
R9C5 can only be <7>
R1C3 can only be <1>
R1C5 can only be <6>
R1C8 can only be <7>
R9C3 can only be <4>
R1C2 can only be <8>
R3C8 can only be <1>
R3C4 can only be <7>
R9C2 can only be <1>
R2C3 can only be <5>
R3C2 can only be <4>
R2C2 can only be <6>
R3C1 can only be <9>
R2C4 can only be <1>
R2C5 can only be <4>
R8C4 can only be <6>
R2C6 can only be <8>
R7C5 can only be <5>
R2C9 can only be <9>
R3C6 can only be <5>
R2C1 can only be <7>
R3C9 can only be <8>
R7C1 can only be <2>
R8C5 can only be <1>
R8C8 can only be <4>
R8C6 can only be <2>
R7C8 can only be <6>
R7C6 can only be <4>
R8C1 can only be <5>
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