Jun 28 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C3 can only be <9>
R6C3 can only be <5>
R4C3 can only be <1>
R7C3 can only be <4>
R3C3 can only be <8>
R2C2 is the only square in row 2 that can be <1>
R4C5 is the only square in row 4 that can be <9>
R7C8 is the only square in row 7 that can be <1>
R7C7 is the only square in row 7 that can be <3>
R5C7 can only be <7>
R7C6 is the only square in row 7 that can be <6>
R5C8 is the only square in column 8 that can be <3>
R5C2 can only be <6>
R5C5 can only be <8>
R6C9 is the only square in row 6 that can be <8>
R6C5 is the only square in row 6 that can be <6>
Intersection of row 2 with block 2. The value <3> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C4 - removing <3> from <34568> leaving <4568>
R1C5 - removing <3> from <34> leaving <4>
R3C2 is the only square in column 2 that can be <4>
R3C1 is the only square in row 3 that can be <9>
R1C2 can only be <3>
R1C1 can only be <5>
R6C1 is the only square in row 6 that can be <3>
R8C2 is the only square in row 8 that can be <9>
Intersection of row 3 with block 3. The value <2> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R2C8 - removing <2> from <245> leaving <45>
R2C9 - removing <2> from <249> leaving <49>
Intersection of column 7 with block 6. The value <4> 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 this value.
R4C8 - removing <4> from <2456> leaving <256>
R4C9 - removing <4> from <246> leaving <26>
Squares R4C1 and R7C9 form a remote naked pair. <27> can be removed from any square that is common to their groups.
R4C9 - removing <2> from <26> leaving <6>
R1C9 can only be <9>
R1C6 can only be <8>
R2C9 can only be <4>
R2C8 can only be <5>
R1C4 can only be <6>
R2C4 can only be <3>
R4C8 can only be <2>
R3C7 can only be <2>
R3C8 can only be <6>
R6C7 can only be <4>
R3C4 can only be <5>
R4C1 can only be <7>
R6C6 can only be <7>
R4C7 can only be <5>
R2C5 can only be <2>
R2C6 can only be <9>
R8C5 can only be <1>
R4C4 can only be <4>
R6C2 can only be <2>
R7C2 can only be <7>
R7C9 can only be <2>
R9C9 can only be <7>
R8C1 can only be <2>
R9C5 can only be <3>
R9C4 can only be <8>
R8C6 can only be <4>
R9C1 can only be <1>
R8C8 can only be <8>
R9C6 can only be <2>
R8C4 can only be <7>
R9C8 can only be <4>
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