Sep 11 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C5 is the only square in row 1 that can be <3>
R4C3 is the only square in row 4 that can be <4>
R4C6 is the only square in row 4 that can be <5>
R4C5 is the only square in row 4 that can be <9>
Intersection of row 7 with block 7. The value <1> only appears in one or more of squares R7C1, R7C2 and R7C3 of row 7. 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 <1> from <1379> leaving <379>
Intersection of row 9 with block 7. The value <5> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C1 - removing <5> from <1457> leaving <147>
R7C3 - removing <5> from <135> leaving <13>
Intersection of row 9 with block 8. The values <68> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
R7C5 - removing <6> from <67> leaving <7>
Squares R8C4 and R8C6 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C7 - removing <4> from <34> leaving <3>
R4C7 can only be <1>
R7C9 can only be <4>
R1C7 can only be <8>
R7C1 can only be <1>
R6C7 can only be <6>
R7C7 can only be <5>
R7C3 can only be <3>
R7C8 can only be <6>
R3C7 can only be <4>
R1C9 is the only square in row 1 that can be <1>
R3C9 can only be <2>
R1C8 can only be <9>
R1C1 can only be <6>
R2C8 can only be <5>
R8C8 can only be <7>
R8C2 can only be <9>
R4C8 can only be <2>
R5C8 can only be <8>
R9C9 can only be <9>
R9C3 can only be <5>
R1C6 can only be <2>
R3C1 can only be <5>
R3C2 can only be <1>
R5C1 can only be <7>
R3C3 can only be <8>
R3C5 can only be <6>
R2C3 can only be <9>
R9C5 can only be <8>
R5C9 can only be <3>
R6C1 can only be <9>
R9C1 can only be <4>
R5C2 can only be <5>
R4C9 can only be <7>
R6C2 can only be <3>
R6C3 can only be <1>
R6C6 can only be <8>
R6C4 can only be <7>
R6C5 can only be <2>
R2C6 can only be <4>
R2C2 can only be <2>
R9C2 can only be <7>
R9C4 can only be <6>
R2C4 can only be <8>
R8C6 can only be <1>
R4C4 can only be <3>
R8C4 can only be <4>
R5C6 can only be <6>
R5C4 can only be <1>
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