Sep 30 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C5 can only be <8>
R6C5 can only be <3>
R6C6 can only be <4>
R6C8 can only be <8>
R5C5 can only be <2>
R6C3 can only be <1>
R4C4 can only be <5>
R9C4 can only be <8>
R6C1 can only be <6>
R8C4 can only be <1>
R8C5 is the only square in column 5 that can be <6>
R7C5 is the only square in column 5 that can be <7>
R2C6 is the only square in column 6 that can be <2>
R1C6 is the only square in column 6 that can be <8>
Squares R9C7 and R9C9 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C3 - removing <7> from <257> leaving <25>
R9C8 - removing <7> from <257> leaving <25>
Squares R9C7 and R9C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C7 - removing <7> from <3789> leaving <389>
R8C8 - removing <7> from <23579> leaving <2359>
R8C9 - removing <7> from <379> leaving <39>
R2C8 is the only square in column 8 that can be <7>
Squares R7C2<35>, R7C6<59> and R7C8<359> in row 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <359>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C1 - removing <35> from <358> leaving <8>
R7C7 - removing <39> from <13489> leaving <148>
R7C9 - removing <39> from <1349> leaving <14>
R3C3 is the only square in row 3 that can be <8>
R3C2 is the only square in row 3 that can be <2>
R3C4 is the only square in row 3 that can be <4>
R2C4 can only be <3>
R3C9 is the only square in row 3 that can be <6>
R9C9 can only be <7>
R9C7 can only be <6>
R2C2 is the only square in row 2 that can be <6>
R2C3 is the only square in row 2 that can be <4>
R2C1 is the only square in row 2 that can be <5>
R5C1 can only be <7>
R5C3 can only be <5>
R4C2 can only be <4>
R9C3 can only be <2>
R9C8 can only be <5>
R8C3 can only be <7>
R4C9 can only be <9>
R4C7 can only be <7>
R8C9 can only be <3>
R1C3 can only be <9>
R8C2 can only be <5>
R5C9 can only be <4>
R7C8 can only be <9>
R5C7 can only be <3>
R7C9 can only be <1>
R7C6 can only be <5>
R3C8 can only be <3>
R8C8 can only be <2>
R8C7 can only be <8>
R7C7 can only be <4>
R8C6 can only be <9>
R7C2 can only be <3>
R3C1 can only be <1>
R1C7 can only be <1>
R1C2 can only be <7>
R1C1 can only be <3>
R2C7 can only be <9>
R2C5 can only be <1>
R3C5 can only be <9>
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