Sep 12 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C1 is the only square in row 6 that can be <3>
R6C6 is the only square in row 6 that can be <6>
R4C1 is the only square in row 4 that can be <6>
R4C5 is the only square in row 4 that can be <1>
R5C7 is the only square in row 5 that can be <6>
R7C3 is the only square in row 7 that can be <5>
R9C3 is the only square in column 3 that can be <8>
R2C3 is the only square in column 3 that can be <6>
R1C5 is the only square in column 5 that can be <8>
R3C8 is the only square in row 3 that can be <8>
R7C6 is the only square in column 6 that can be <3>
R7C4 is the only square in row 7 that can be <8>
R5C6 is the only square in row 5 that can be <8>
R3C9 is the only square in column 9 that can be <3>
R7C9 is the only square in column 9 that can be <2>
Squares R5C1 and R5C3 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C4 - removing <2> from <249> leaving <49>
Squares R8C5 and R9C5 in column 5 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 column.
R2C5 - removing <2> from <257> leaving <57>
R6C5 - removing <4> from <457> leaving <57>
Intersection of block 2 with row 3. The value <2> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.
R3C1 - removing <2> from <124> leaving <14>
R3C2 - removing <2> from <1249> leaving <149>
R3C3 - removing <2> from <127> leaving <17>
R3C7 - removing <2> from <24579> leaving <4579>
R5C1 is the only square in column 1 that can be <2>
R5C3 can only be <1>
R3C3 can only be <7>
R3C6 can only be <2>
R3C4 can only be <5>
R4C6 can only be <7>
R4C9 can only be <9>
R6C5 can only be <5>
R4C4 can only be <2>
R5C9 can only be <4>
R5C4 can only be <9>
R6C9 can only be <7>
R6C4 can only be <4>
R2C5 can only be <7>
R2C8 can only be <4>
R2C2 can only be <2>
R9C8 can only be <6>
R3C7 can only be <9>
R1C8 can only be <7>
R1C7 can only be <2>
R7C8 can only be <1>
R2C7 can only be <5>
R1C3 can only be <3>
R7C1 can only be <4>
R8C8 can only be <9>
R1C2 can only be <9>
R8C3 can only be <2>
R7C2 can only be <6>
R7C7 can only be <7>
R3C1 can only be <1>
R9C2 can only be <3>
R8C5 can only be <4>
R8C7 can only be <3>
R9C5 can only be <2>
R8C2 can only be <1>
R9C7 can only be <4>
R3C2 can only be <4>
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