Jun 04 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C8 can only be <6>
R8C5 can only be <6>
R8C6 can only be <9>
R4C3 is the only square in column 3 that can be <9>
R9C4 is the only square in column 4 that can be <3>
R4C4 is the only square in column 4 that can be <5>
R4C9 is the only square in row 4 that can be <7>
R6C1 is the only square in row 6 that can be <5>
R1C8 is the only square in column 8 that can be <7>
R2C5 is the only square in block 2 that can be <4>
Intersection of row 4 with block 4. The value <4> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <4> from <1248> leaving <128>
R5C2 - removing <4> from <12468> leaving <1268>
Intersection of row 6 with block 6. The value <1> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R5C8 - removing <1> from <1249> leaving <249>
R5C9 - removing <1> from <12689> leaving <2689>
Intersection of column 2 with block 1. The value <3> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <3> from <389> leaving <89>
R3C1 - removing <3> from <3478> leaving <478>
Intersection of column 7 with block 3. The value <9> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R2C9 - removing <9> from <169> leaving <16>
Intersection of block 5 with row 5. The values <78> 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 these values.
R5C1 - removing <8> from <128> leaving <12>
R5C2 - removing <8> from <1268> leaving <126>
R5C9 - removing <8> from <2689> leaving <269>
Intersection of block 2 with column 4. The value <7> only appears in one or more of squares R1C4, R2C4 and R3C4 of block 2. These squares are the ones that intersect with column 4. Thus, the other (non-intersecting) squares of column 4 cannot contain this value.
R5C4 - removing <7> from <678> leaving <68>
Squares R2C2<26>, R5C2<126> and R9C2<12> in column 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <126>. 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 <368> leaving <38>
R3C2 - removing <6> from <3468> leaving <348>
R4C2 - removing <6> from <468> leaving <48>
R4C7 is the only square in row 4 that can be <6>
R1C6 is the only square in row 1 that can be <6>
R6C6 can only be <4>
R2C4 can only be <7>
R3C4 can only be <8>
R5C4 can only be <6>
R1C5 can only be <5>
R5C6 can only be <7>
R9C5 can only be <7>
R5C5 can only be <8>
R7C6 can only be <5>
R9C3 can only be <2>
R9C2 can only be <1>
R8C3 can only be <8>
R6C3 can only be <6>
R9C8 can only be <9>
R5C2 can only be <2>
R8C1 can only be <3>
R9C9 can only be <5>
R5C1 can only be <1>
R5C8 can only be <4>
R5C9 can only be <9>
R2C2 can only be <6>
R3C3 can only be <7>
R7C1 can only be <7>
R2C9 can only be <1>
R2C7 can only be <9>
R8C9 can only be <2>
R3C1 can only be <4>
R8C8 can only be <1>
R6C9 can only be <8>
R2C1 can only be <2>
R1C7 can only be <3>
R3C2 can only be <3>
R4C1 can only be <8>
R3C9 can only be <6>
R1C2 can only be <8>
R4C2 can only be <4>
R1C1 can only be <9>
R6C7 can only be <1>
R7C9 can only be <3>
R7C7 can only be <8>
R6C8 can only be <2>
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