Sep 20 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C8 can only be <1>
R8C9 can only be <5>
R7C7 can only be <3>
R6C7 can only be <5>
R9C9 can only be <8>
R7C9 can only be <7>
R6C3 can only be <4>
R7C3 can only be <5>
R3C9 is the only square in row 3 that can be <6>
R5C1 is the only square in row 5 that can be <5>
R6C1 is the only square in row 6 that can be <6>
R7C5 is the only square in row 7 that can be <6>
R7C6 is the only square in row 7 that can be <8>
Squares R2C9 and R3C8 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C9 - removing <4> from <124> leaving <12>
Intersection of row 5 with block 5. The value <7> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C5 - removing <7> from <2479> leaving <249>
Intersection of block 7 with column 1. The values <12> only appears in one or more of squares R7C1, R8C1 and R9C1 of block 7. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain these values.
R1C1 - removing <1> from <1347> leaving <347>
R3C1 - removing <1> from <13478> leaving <3478>
R4C1 - removing <1> from <179> leaving <79>
R1C9 is the only square in row 1 that can be <1>
R3C7 can only be <2>
R4C7 can only be <1>
R4C3 can only be <7>
R4C1 can only be <9>
R3C3 can only be <1>
R3C2 can only be <4>
R9C1 can only be <1>
R5C2 can only be <1>
R8C1 can only be <2>
R3C8 can only be <9>
R7C2 can only be <9>
R2C1 can only be <8>
R3C6 can only be <3>
R5C8 can only be <4>
R2C9 can only be <4>
R4C9 can only be <2>
R7C4 can only be <2>
R7C1 can only be <4>
R8C5 can only be <1>
R2C5 can only be <9>
R3C1 can only be <7>
R9C6 can only be <9>
R1C4 can only be <7>
R4C5 can only be <4>
R5C6 can only be <2>
R1C1 can only be <3>
R3C4 can only be <5>
R6C5 can only be <3>
R3C5 can only be <8>
R9C4 can only be <3>
R1C5 can only be <2>
R1C6 can only be <4>
R6C9 can only be <9>
R5C5 can only be <7>
R9C5 can only be <5>
R5C4 can only be <9>
R5C9 can only be <3>
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