The full reasoning can be found below the Sudoku.
Feb 02 - Hard
Puzzle Copyright © Kevin Stone
www.brainbashers.com
Reasoning
R2C4 can only be <4>
R2C6 can only be <2>
R2C7 can only be <7>
R1C5 can only be <1>
R3C5 can only be <8>
R3C1 can only be <2>
R5C5 is the only square in row 5 that can be <5>
R7C5 is the only square in column 5 that can be <2>
R7C9 can only be <4>
R3C9 can only be <3>
R3C2 can only be <5>
R2C8 can only be <5>
R3C8 can only be <4>
R8C3 is the only square in row 8 that can be <5>
Squares R2C3 and R6C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C3 - removing <3> from <379> leaving <79>
R5C3 - removing <38> from <3789> leaving <79>
Squares R4C3 and R5C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C2 - removing <79> from <13679> leaving <136>
R5C1 - removing <79> from <1789> leaving <18>
R5C2 - removing <79> from <1236789> leaving <12368>
Intersection of column 7 with block 6. The values <46> only appears in one or more of squares R4C7, R5C7 and R6C7 of column 7. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
R4C8 - removing <6> from <1369> leaving <139>
R5C8 - removing <6> from <123689> leaving <12389>
R5C9 - removing <6> from <269> leaving <29>
Intersection of block 5 with row 5. The value <1> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.
R5C1 - removing <1> from <18> leaving <8>
R5C2 - removing <1> from <12368> leaving <2368>
R5C7 - removing <1> from <1246> leaving <246>
R5C8 - removing <1> from <12389> leaving <2389>
R6C3 can only be <3>
R6C5 can only be <4>
R2C3 can only be <8>
R9C5 can only be <7>
R5C6 can only be <1>
R4C5 can only be <3>
R8C4 can only be <1>
R2C2 can only be <3>
R5C4 can only be <7>
R8C6 can only be <4>
R8C7 can only be <2>
R6C7 can only be <1>
R5C3 can only be <9>
R6C2 can only be <2>
R4C7 can only be <6>
R4C8 can only be <9>
R4C2 can only be <1>
R5C7 can only be <4>
R4C3 can only be <7>
R8C8 can only be <7>
R5C9 can only be <2>
R5C2 can only be <6>
R5C8 can only be <3>
R1C9 can only be <6>
R6C8 can only be <8>
R8C2 can only be <9>
R7C8 can only be <1>
R1C8 can only be <2>
R9C9 can only be <9>
R7C1 can only be <7>
R9C8 can only be <6>
R1C2 can only be <7>
R9C2 can only be <4>
R9C1 can only be <1>
R1C1 can only be <9>
R7C2 can only be <8>
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