May 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 is the only square in row 1 that can be <6>
R6C8 is the only square in row 6 that can be <4>
R7C3 is the only square in row 7 that can be <5>
R9C9 is the only square in column 9 that can be <4>
R8C9 is the only square in column 9 that can be <8>
R7C5 is the only square in row 7 that can be <8>
R7C6 is the only square in row 7 that can be <4>
R2C5 is the only square in row 2 that can be <4>
R9C1 is the only square in column 1 that can be <8>
Intersection of row 3 with block 2. The values <25> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R1C5 - removing <5> from <357> leaving <37>
R2C4 - removing <5> from <35679> leaving <3679>
Intersection of column 3 with block 4. The values <36> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R4C2 - removing <3> from <1238> leaving <128>
R5C2 - removing <3> from <12379> leaving <1279>
R6C2 - removing <3> from <12378> leaving <1278>
Intersection of column 7 with block 6. The values <38> 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 these values.
R5C9 - removing <3> from <135> leaving <15>
Intersection of block 9 with column 8. The value <1> only appears in one or more of squares R7C8, R8C8 and R9C8 of block 9. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.
R2C8 - removing <1> from <1579> leaving <579>
R4C8 - removing <1> from <1256> leaving <256>
R5C8 - removing <1> from <1256> leaving <256>
Squares R4C7<138>, R5C7<13> and R6C7<138> in column 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <138>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C7 - removing <1> from <179> leaving <79>
R3C3 is the only square in row 3 that can be <1>
R6C3 can only be <3>
R4C3 can only be <6>
R5C3 can only be <9>
R2C9 is the only square in row 2 that can be <1>
R5C9 can only be <5>
R1C9 can only be <3>
R4C8 can only be <2>
R1C5 can only be <7>
R4C6 can only be <3>
R5C8 can only be <6>
R2C4 is the only square in row 2 that can be <3>
R2C6 is the only square in row 2 that can be <6>
R3C7 is the only square in row 3 that can be <7>
R7C7 can only be <9>
R7C4 can only be <7>
R9C8 can only be <1>
R9C5 can only be <3>
R8C8 can only be <7>
R6C4 can only be <1>
R8C6 can only be <9>
R8C1 can only be <2>
R3C6 can only be <2>
R9C2 can only be <9>
R8C5 can only be <1>
R3C5 can only be <5>
R6C6 can only be <7>
R6C7 can only be <8>
R4C4 can only be <5>
R8C4 can only be <6>
R5C5 can only be <2>
R6C2 can only be <2>
R4C7 can only be <1>
R8C2 can only be <3>
R5C1 can only be <7>
R1C2 can only be <5>
R1C8 can only be <9>
R2C2 can only be <7>
R2C8 can only be <5>
R2C1 can only be <9>
R3C4 can only be <9>
R4C2 can only be <8>
R5C7 can only be <3>
R5C2 can only be <1>
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