Nov 17 - Super Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C8 can only be <3>
R9C1 can only be <5>
R6C8 can only be <1>
R9C9 can only be <2>
R7C3 can only be <4>
R4C8 can only be <6>
R7C2 can only be <9>
R3C8 can only be <2>
R7C1 can only be <8>
R8C9 is the only square in row 8 that can be <4>
R8C7 is the only square in row 8 that can be <6>
R3C7 can only be <8>
R5C3 is the only square in column 3 that can be <5>
R5C7 can only be <9>
R5C9 can only be <3>
R2C7 can only be <7>
R5C6 can only be <2>
R7C7 can only be <5>
R7C9 can only be <7>
R4C1 is the only square in row 4 that can be <2>
R2C3 is the only square in row 2 that can be <2>
R6C1 is the only square in column 1 that can be <7>
Squares R4C5 and R4C9 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C4 - removing <5> from <1357> leaving <137>
R4C6 - removing <8> from <378> leaving <37>
Intersection of row 3 with block 1. The values <34> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R2C1 - removing <3> from <1369> leaving <169>
Intersection of block 2 with row 2. The values <368> only appears in one or more of squares R2C4, R2C5 and R2C6 of block 2. These squares are the ones that intersect with row 2. Thus, the other (non-intersecting) squares of row 2 cannot contain these values.
R2C1 - removing <6> from <169> leaving <19>
R2C9 - removing <6> from <169> leaving <19>
Intersection of block 4 with column 2. The value <3> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.
R3C2 - removing <3> from <134> leaving <14>
Squares R4C5, R4C9, R6C5 and R6C9 form a Type-1 Unique Rectangle on <58>.
R6C5 - removing <58> from <4589> leaving <49>
Squares R8C1, R8C3, R3C1 and R3C3 form a Type-1 Unique Rectangle on <13>.
R3C1 - removing <13> from <1346> leaving <46>
R3C3 is the only square in row 3 that can be <3>
R8C3 can only be <1>
R8C1 can only be <3>
Squares R6C4 (XY), R4C6 (XZ) and R8C4 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
R8C6 - removing <7> from <79> leaving <9>
R4C4 - removing <7> from <137> leaving <13>
R8C5 can only be <5>
R8C4 can only be <7>
R4C5 can only be <8>
R4C9 can only be <5>
R2C5 can only be <6>
R6C6 can only be <3>
R6C9 can only be <8>
R6C2 can only be <4>
R6C4 can only be <5>
R2C6 can only be <8>
R4C6 can only be <7>
R4C4 can only be <1>
R2C4 can only be <3>
R5C5 can only be <4>
R4C2 can only be <3>
R5C4 can only be <6>
R5C1 can only be <1>
R6C5 can only be <9>
R3C2 can only be <1>
R3C9 can only be <6>
R2C1 can only be <9>
R3C1 can only be <4>
R1C9 can only be <9>
R1C1 can only be <6>
R2C9 can only be <1>
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