Sep 29 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C5 can only be <7>
R4C9 can only be <3>
R6C1 can only be <3>
R8C3 can only be <8>
R4C1 can only be <2>
R1C5 is the only square in row 1 that can be <6>
R5C4 is the only square in row 5 that can be <3>
R5C6 is the only square in row 5 that can be <5>
R9C6 is the only square in column 6 that can be <8>
R1C6 is the only square in column 6 that can be <9>
R2C3 is the only square in row 2 that can be <9>
Squares R3C6 and R3C8 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C2 - removing <24> from <1247> leaving <17>
R3C4 - removing <4> from <147> leaving <17>
Squares R5C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C5 - removing <4> from <24> leaving <2>
R9C5 - removing <4> from <1249> leaving <129>
R3C6 can only be <4>
R3C8 can only be <2>
R7C6 can only be <2>
R5C7 is the only square in row 5 that can be <2>
Squares R1C4 and R3C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R9C4 - removing <1> from <145> leaving <45>
Squares R2C2 and R2C8 in row 2 and R8C2 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 2 and 8 can be removed.
R1C2 - removing <5> from <12457> leaving <1247>
R1C8 - removing <5> from <3458> leaving <348>
R7C2 - removing <5> from <56> leaving <6>
R7C8 - removing <5> from <456> leaving <46>
R9C2 - removing <5> from <23567> leaving <2367>
R9C8 - removing <5> from <34569> leaving <3469>
R7C8 can only be <4>
R7C4 can only be <5>
R2C8 can only be <5>
R9C4 can only be <4>
R1C1 is the only square in row 1 that can be <5>
R9C1 can only be <7>
R9C3 can only be <2>
R5C1 can only be <1>
R9C2 can only be <3>
R1C3 can only be <7>
R1C4 can only be <1>
R5C3 can only be <6>
R2C2 can only be <4>
R3C2 can only be <1>
R3C4 can only be <7>
R2C7 can only be <7>
R1C2 can only be <2>
R5C2 can only be <7>
R9C7 can only be <1>
R8C2 can only be <5>
R9C5 can only be <9>
R8C7 can only be <3>
R8C8 can only be <9>
R1C7 can only be <4>
R8C5 can only be <1>
R5C8 can only be <8>
R9C8 can only be <6>
R9C9 can only be <5>
R1C9 can only be <8>
R1C8 can only be <3>
R6C9 can only be <4>
R5C5 can only be <4>
R6C5 can only be <8>
R5C9 can only be <9>
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