The full reasoning can be found below the Sudoku.
Mar 02 - Super Hard
Puzzle Copyright © Kevin Stone
Reasoning
R4C2 can only be <5>
R5C1 can only be <6>
R6C5 can only be <9>
R4C8 can only be <1>
R6C2 can only be <2>
R4C5 can only be <4>
R5C9 can only be <3>
R5C7 can only be <4>
R5C8 can only be <2>
R6C8 can only be <5>
R5C2 can only be <8>
R5C3 can only be <9>
R5C5 can only be <1>
Squares R2C3 and R3C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C3 - removing <6> from <156> leaving <15>
R8C3 - removing <6> from <156> leaving <15>
Squares R2C3 and R3C3 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C2 - removing <6> from <3467> leaving <347>
Intersection of row 7 with block 8. The value <4> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R9C4 - removing <4> from <134> leaving <13>
R9C6 - removing <4> from <14568> leaving <1568>
Squares R1C6 and R1C9 in row 1 and R9C6 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 6 and 9 can be removed.
R3C6 - removing <5> from <58> leaving <8>
R7C6 - removing <5> from <1456> leaving <146>
R8C6 - removing <5> from <15689> leaving <1689>
R9C8 is the only square in row 9 that can be <8>
R8C5 is the only square in row 8 that can be <8>
R8C4 is the only square in row 8 that can be <7>
R1C2 is the only square in row 1 that can be <7>
R2C5 is the only square in row 2 that can be <7>
R8C6 is the only square in row 8 that can be <9>
Squares R8C2 and R8C8 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C7 - removing <36> from <1356> leaving <15>
Squares R8C7 and R9C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C7 - removing <15> from <1356> leaving <36>
Squares R7C5 (XY), R9C4 (XZ) and R7C3 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
R7C4 - removing <1> from <134> leaving <34>
R7C6 - removing <1> from <146> leaving <46>
R7C3 is the only square in row 7 that can be <1>
R8C3 can only be <5>
R8C7 can only be <1>
R9C9 can only be <5>
R1C9 can only be <1>
R1C6 is the only square in row 1 that can be <5>
R3C5 can only be <3>
R3C4 can only be <2>
R7C5 can only be <5>
R3C3 can only be <6>
R3C7 can only be <5>
R2C3 can only be <2>
Squares R2C7 and R8C2 form a remote naked pair. <36> can be removed from any square that is common to their groups.
R2C2 - removing <3> from <34> leaving <4>
R2C6 can only be <1>
R1C1 can only be <3>
R2C4 can only be <9>
R9C6 can only be <6>
R9C2 can only be <3>
R7C6 can only be <4>
R1C8 can only be <9>
R9C1 can only be <4>
R1C4 can only be <4>
R7C4 can only be <3>
R9C4 can only be <1>
R8C2 can only be <6>
R7C7 can only be <6>
R2C7 can only be <3>
R8C8 can only be <3>
R2C8 can only be <6>
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