Aug 21 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C8 can only be <2>
R6C1 can only be <4>
R8C8 can only be <7>
R2C7 is the only square in row 2 that can be <7>
R4C5 is the only square in row 4 that can be <4>
R4C7 is the only square in row 4 that can be <9>
R4C4 is the only square in row 4 that can be <8>
R6C3 is the only square in row 6 that can be <7>
R6C7 is the only square in row 6 that can be <8>
R8C7 is the only square in row 8 that can be <4>
R7C6 is the only square in row 7 that can be <4>
R8C3 is the only square in row 8 that can be <2>
R4C1 is the only square in row 4 that can be <2>
R7C7 is the only square in row 7 that can be <2>
R8C4 is the only square in row 8 that can be <9>
R9C4 is the only square in row 9 that can be <7>
R7C2 is the only square in row 7 that can be <7>
Squares R9C7 and R9C9 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C1 - removing <6> from <689> leaving <89>
R9C3 - removing <16> from <15689> leaving <589>
R9C6 - removing <1> from <158> leaving <58>
Squares R2C8 and R3C8 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C7 - removing <6> from <156> leaving <15>
R1C9 - removing <6> from <1456> leaving <145>
R3C7 - removing <6> from <1356> leaving <135>
R3C9 - removing <6> from <13456> leaving <1345>
Intersection of row 1 with block 1. The value <6> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R2C2 - removing <6> from <16> leaving <1>
R2C3 - removing <6> from <1689> leaving <189>
R3C3 - removing <6> from <14689> leaving <1489>
R8C2 can only be <5>
R8C5 can only be <1>
R4C2 can only be <6>
R7C4 can only be <3>
R7C5 can only be <8>
R7C1 can only be <6>
R9C6 can only be <5>
R7C3 can only be <1>
R1C1 can only be <9>
R9C1 can only be <8>
R2C3 can only be <8>
R3C3 can only be <4>
R9C3 can only be <9>
R1C3 can only be <6>
R1C9 is the only square in row 1 that can be <4>
R3C6 is the only square in row 3 that can be <8>
R3C8 is the only square in row 3 that can be <9>
R2C8 can only be <6>
R2C5 can only be <3>
R2C6 can only be <9>
R6C5 can only be <5>
R6C9 can only be <3>
R3C5 can only be <6>
R5C4 can only be <2>
R6C6 can only be <1>
R4C9 can only be <5>
R4C3 can only be <3>
R3C9 can only be <1>
R5C7 can only be <6>
R5C6 can only be <3>
R5C3 can only be <5>
R9C7 can only be <1>
R1C6 can only be <2>
R9C9 can only be <6>
R1C7 can only be <5>
R1C4 can only be <1>
R3C7 can only be <3>
R3C4 can only be <5>
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