Nov 18 - Super Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C6 can only be <3>
R9C9 can only be <6>
R9C1 can only be <7>
R3C8 is the only square in row 3 that can be <4>
R4C2 is the only square in row 4 that can be <2>
R5C3 is the only square in row 5 that can be <4>
R6C4 is the only square in row 6 that can be <2>
R3C5 is the only square in row 3 that can be <2>
R6C9 is the only square in row 6 that can be <4>
R6C7 is the only square in row 6 that can be <1>
R7C5 is the only square in row 7 that can be <4>
R8C1 is the only square in row 8 that can be <4>
R9C6 is the only square in row 9 that can be <1>
R2C9 is the only square in row 2 that can be <1>
R9C8 is the only square in row 9 that can be <2>
R9C5 is the only square in row 9 that can be <9>
Squares R4C6 and R4C9 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C1 - removing <8> from <689> leaving <69>
R4C3 - removing <7> from <3567> leaving <356>
R4C7 - removing <8> from <3589> leaving <359>
R4C8 - removing <78> from <356789> leaving <3569>
R6C1 is the only square in column 1 that can be <8>
Squares R9C2 and R9C3 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C2 - removing <5> from <568> leaving <68>
R8C2 - removing <5> from <568> leaving <68>
Squares R7C2 and R8C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C2 - removing <6> from <1679> leaving <179>
R5C2 - removing <6> from <367> leaving <37>
R5C8 is the only square in row 5 that can be <6>
Squares R1C1 and R4C1 in column 1 and R1C7 and R4C7 in column 7 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in rows 1 and 4 can be removed.
R1C2 - removing <9> from <179> leaving <17>
R1C8 - removing <9> from <3789> leaving <378>
R4C8 - removing <9> from <359> leaving <35>
Squares R1C9 and R5C5 form a remote naked pair. <78> can be removed from any square that is common to their groups.
R1C5 - removing <78> from <5678> leaving <56>
Intersection of row 1 with block 3. The values <38> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.
R2C8 - removing <8> from <789> leaving <79>
Squares R2C3 (XY), R1C1 (XZ) and R2C8 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
R1C7 - removing <9> from <389> leaving <38>
R1C1 is the only square in row 1 that can be <9>
R4C1 can only be <6>
R3C6 is the only square in row 3 that can be <9>
R2C8 is the only square in row 2 that can be <9>
R4C7 is the only square in row 4 that can be <9>
R6C2 is the only square in row 6 that can be <9>
R9C2 is the only square in column 2 that can be <5>
R9C3 can only be <3>
R4C3 can only be <5>
R4C8 can only be <3>
R6C3 can only be <7>
R5C7 can only be <8>
R5C5 can only be <7>
R1C7 can only be <3>
R8C7 can only be <5>
R4C9 can only be <7>
R6C8 can only be <5>
R2C3 can only be <6>
R5C2 can only be <3>
R7C8 can only be <8>
R7C2 can only be <6>
R1C8 can only be <7>
R1C2 can only be <1>
R1C9 can only be <8>
R4C6 can only be <8>
R2C5 can only be <8>
R8C5 can only be <6>
R7C4 can only be <5>
R8C2 can only be <8>
R8C4 can only be <7>
R1C5 can only be <5>
R1C4 can only be <6>
R3C2 can only be <7>
R2C6 can only be <7>
R3C4 can only be <1>
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