The full reasoning can be found below the Sudoku.
Feb 02 - Super Hard
Puzzle Copyright © Kevin Stone
www.brainbashers.com
Reasoning
R9C8 can only be <9>
R9C9 can only be <6>
R7C7 can only be <3>
R6C7 can only be <4>
R8C2 is the only square in column 2 that can be <5>
R3C7 is the only square in column 7 that can be <6>
R6C8 is the only square in column 8 that can be <3>
R6C5 can only be <6>
R4C5 can only be <4>
R4C8 is the only square in column 8 that can be <7>
R5C9 is the only square in block 6 that can be <1>
Squares R3C3 and R3C4 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C6 - removing <7> from <279> leaving <29>
Squares R7C3 and R7C4 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C5 - removing <1> from <159> leaving <59>
Squares R6C2 and R9C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C2 - removing <7> from <3679> leaving <369>
Squares R3C5 and R3C6 in block 2 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 block.
R1C5 - removing <9> from <139> leaving <13>
R2C6 - removing <9> from <379> leaving <37>
Squares R6C2 and R6C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C1 - removing <7> from <479> leaving <49>
R5C3 - removing <7> from <478> leaving <48>
Squares R1C1 and R5C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C1 - removing <49> from <4679> leaving <67>
Squares R8C8, R8C9, R1C8 and R1C9 form a Type-3 Unique Rectangle on <48>. Upon close inspection, it is clear that:
(R1C8 or R1C9)<19>, R1C5<13> and R1C2<39> form a naked triplet on <139> in row 1. No other squares in the row can contain these possibilities
R1C1 - removing <9> from <49> leaving <4>
R5C1 can only be <9>
R3C3 can only be <7>
R3C4 can only be <4>
R6C3 can only be <1>
R2C1 can only be <6>
R5C7 can only be <8>
R4C2 can only be <6>
R5C3 can only be <4>
R4C7 can only be <9>
R6C2 can only be <7>
R7C3 can only be <6>
R7C4 can only be <1>
R4C3 can only be <8>
R8C1 can only be <2>
R9C5 can only be <2>
R8C6 can only be <3>
R9C1 can only be <7>
R8C4 can only be <6>
R2C6 can only be <7>
R9C2 can only be <1>
R3C5 can only be <9>
R2C4 can only be <3>
R5C6 can only be <5>
R3C6 can only be <2>
R7C5 can only be <5>
R5C5 can only be <3>
R7C6 can only be <9>
R2C2 can only be <9>
R5C4 can only be <7>
R1C5 can only be <1>
R1C8 can only be <8>
R1C9 can only be <9>
R8C8 can only be <4>
R1C2 can only be <3>
R2C9 can only be <4>
R2C8 can only be <1>
R8C9 can only be <8>
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