May 28 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C8 is the only square in row 2 that can be <2>
R4C5 is the only square in row 4 that can be <7>
R8C1 is the only square in row 8 that can be <2>
R5C4 is the only square in row 5 that can be <2>
R2C5 is the only square in column 5 that can be <1>
R1C8 is the only square in column 8 that can be <5>
R1C3 can only be <4>
Squares R6C2 and R6C8 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R6C3 - removing <3> from <235> leaving <25>
R6C5 - removing <8> from <568> leaving <56>
R6C7 - removing <38> from <2368> leaving <26>
Intersection of column 3 with block 7. The value <3> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R8C2 - removing <3> from <13679> leaving <1679>
R9C2 - removing <3> from <3679> leaving <679>
Intersection of column 5 with block 8. The value <3> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C6 - removing <3> from <3478> leaving <478>
R8C6 - removing <3> from <3467> leaving <467>
Intersection of column 8 with block 9. The value <7> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R7C9 - removing <7> from <3478> leaving <348>
R8C9 - removing <7> from <347> leaving <34>
Intersection of block 5 with row 5. The value <8> 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 this value.
R5C1 - removing <8> from <158> leaving <15>
R5C2 - removing <8> from <1348> leaving <134>
R5C8 - removing <8> from <1348> leaving <134>
R5C9 - removing <8> from <3468> leaving <346>
Intersection of column 1 with block 1. The value <8> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C2 - removing <8> from <89> leaving <9>
R2C2 - removing <8> from <789> leaving <79>
R2C2 can only be <7>
R9C2 can only be <6>
R8C2 can only be <1>
R7C1 can only be <9>
R7C4 can only be <8>
R2C4 is the only square in row 2 that can be <9>
R8C4 can only be <6>
R3C4 can only be <5>
R3C3 can only be <1>
R3C1 can only be <8>
R4C3 can only be <2>
R6C3 can only be <5>
R6C5 can only be <6>
R5C1 can only be <1>
R6C7 can only be <2>
R1C5 can only be <8>
R5C6 can only be <8>
R1C7 can only be <6>
R5C5 can only be <5>
R2C6 can only be <3>
R2C9 can only be <8>
R3C6 can only be <6>
R2C1 can only be <5>
R3C7 can only be <3>
R3C9 can only be <7>
R7C7 can only be <1>
R4C7 can only be <8>
R4C2 can only be <4>
R9C7 can only be <9>
R6C8 can only be <3>
R6C2 can only be <8>
R5C8 can only be <4>
R9C5 can only be <3>
R4C8 can only be <1>
R5C2 can only be <3>
R5C9 can only be <6>
R8C8 can only be <7>
R8C6 can only be <4>
R9C8 can only be <8>
R9C3 can only be <7>
R8C5 can only be <9>
R8C9 can only be <3>
R7C6 can only be <7>
R7C9 can only be <4>
R7C3 can only be <3>
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