Jul 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R8C7 can only be <2>
R1C7 is the only square in row 1 that can be <3>
R1C4 is the only square in row 1 that can be <5>
R2C9 is the only square in row 2 that can be <6>
R1C5 is the only square in row 1 that can be <6>
R3C6 is the only square in row 3 that can be <3>
R3C3 is the only square in row 3 that can be <4>
R5C9 is the only square in row 5 that can be <3>
R6C1 is the only square in row 6 that can be <6>
R5C6 is the only square in row 5 that can be <6>
R7C3 is the only square in row 7 that can be <6>
R8C8 is the only square in row 8 that can be <6>
R9C2 is the only square in row 9 that can be <3>
R9C6 is the only square in row 9 that can be <9>
R8C6 can only be <8>
R8C3 can only be <1>
R7C6 can only be <2>
R4C6 can only be <5>
R8C1 can only be <9>
R1C1 is the only square in row 1 that can be <1>
R1C3 is the only square in block 1 that can be <2>
R1C8 can only be <8>
R9C9 is the only square in column 9 that can be <8>
R6C9 is the only square in column 9 that can be <5>
Squares R2C2 and R2C3 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C4 - removing <8> from <189> leaving <19>
R2C7 - removing <7> from <179> leaving <19>
Squares R7C7 and R9C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C7 - removing <4> from <1479> leaving <179>
Intersection of row 4 with block 4. The value <8> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <8> from <478> leaving <47>
R5C2 - removing <8> from <12578> leaving <1257>
R5C3 - removing <8> from <578> leaving <57>
R2C3 is the only square in column 3 that can be <8>
R2C2 can only be <7>
R6C2 can only be <2>
R6C4 can only be <4>
R6C8 can only be <7>
R7C4 can only be <1>
R5C5 can only be <8>
R2C4 can only be <9>
R2C7 can only be <1>
R3C4 can only be <8>
R5C7 can only be <9>
R3C9 can only be <2>
R3C5 can only be <1>
R5C4 can only be <2>
R3C8 can only be <9>
R4C9 can only be <1>
R4C2 can only be <8>
R5C8 can only be <4>
R3C7 can only be <7>
R5C1 can only be <7>
R4C8 can only be <2>
R4C1 can only be <4>
R7C2 can only be <5>
R5C3 can only be <5>
R7C1 can only be <8>
R5C2 can only be <1>
R9C3 can only be <7>
R7C7 can only be <4>
R7C5 can only be <7>
R9C7 can only be <5>
R9C5 can only be <4>
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