The full reasoning can be found below the Sudoku.
Feb 15 - Hard
Puzzle Copyright © Kevin Stone
www.brainbashers.com
Reasoning
R1C4 is the only square in row 1 that can be <9>
R8C3 is the only square in row 8 that can be <5>
R9C9 is the only square in row 9 that can be <3>
R1C8 is the only square in row 1 that can be <3>
R5C3 is the only square in column 3 that can be <7>
R5C2 is the only square in row 5 that can be <3>
R2C3 is the only square in row 2 that can be <3>
R7C1 is the only square in column 1 that can be <7>
R4C2 is the only square in column 2 that can be <8>
R9C4 is the only square in column 4 that can be <8>
R3C8 is the only square in column 8 that can be <7>
Squares R1C7 and R1C9 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C1 - removing <12> from <1258> leaving <58>
R1C6 - removing <2> from <258> leaving <58>
Squares R1C7 and R1C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C7 - removing <2> from <246> leaving <46>
R3C9 - removing <12> from <1246> leaving <46>
Intersection of row 4 with block 6. The values <69> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
R6C8 - removing <69> from <2469> leaving <24>
Squares R5C8 and R6C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R8C8 - removing <4> from <469> leaving <69>
Squares R5C8 and R6C8 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C7 - removing <24> from <1248> leaving <18>
R5C9 - removing <24> from <12458> leaving <158>
R5C8 is the only square in row 5 that can be <4>
R6C8 can only be <2>
R5C5 is the only square in row 5 that can be <2>
R3C5 can only be <6>
R3C9 can only be <4>
R2C5 can only be <7>
R3C3 can only be <1>
R2C7 can only be <6>
R2C4 can only be <5>
R8C5 can only be <9>
R6C3 can only be <9>
R9C3 can only be <4>
R8C8 can only be <6>
R7C5 can only be <1>
R8C9 can only be <8>
R4C8 can only be <9>
R7C9 can only be <2>
R8C7 can only be <4>
R9C6 can only be <6>
R9C2 can only be <2>
R2C1 can only be <2>
R1C6 can only be <8>
R4C7 can only be <1>
R7C4 can only be <4>
R7C2 can only be <6>
R1C9 can only be <1>
R8C6 can only be <7>
R7C7 can only be <9>
R9C1 can only be <9>
R2C2 can only be <4>
R1C1 can only be <5>
R3C6 can only be <2>
R1C7 can only be <2>
R5C9 can only be <5>
R3C1 can only be <8>
R4C4 can only be <7>
R5C7 can only be <8>
R5C1 can only be <1>
R4C9 can only be <6>
R6C2 can only be <5>
R6C4 can only be <1>
R4C6 can only be <5>
R6C6 can only be <4>
R6C1 can only be <6>
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