Mar 11 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C5 is the only square in row 5 that can be <1>
R7C1 is the only square in row 7 that can be <8>
R7C9 is the only square in row 7 that can be <1>
R3C1 is the only square in row 3 that can be <1>
R2C7 is the only square in row 2 that can be <1>
R8C3 is the only square in row 8 that can be <1>
R9C7 is the only square in row 9 that can be <2>
R1C9 is the only square in column 9 that can be <8>
Squares R7C2 and R7C6 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C4 - removing <47> from <4567> leaving <56>
R7C8 - removing <4> from <456> leaving <56>
Intersection of row 3 with block 3. The value <6> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C7 - removing <6> from <467> leaving <47>
R1C8 - removing <6> from <3469> leaving <349>
Squares R1C7 and R2C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C8 - removing <4> from <349> leaving <39>
R3C9 - removing <7> from <679> leaving <69>
Intersection of row 4 with block 5. The value <2> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C4 - removing <2> from <24567> leaving <4567>
Intersection of column 4 with block 5. The value <4> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C6 - removing <4> from <347> leaving <37>
R6C5 - removing <4> from <345> leaving <35>
R6C6 - removing <4> from <3489> leaving <389>
R7C6 is the only square in column 6 that can be <4>
R7C2 can only be <7>
R9C2 is the only square in column 2 that can be <4>
R5C8 is the only square in column 8 that can be <4>
R6C7 can only be <8>
R4C7 can only be <6>
R5C9 can only be <5>
R4C6 is the only square in row 4 that can be <8>
R4C3 is the only square in row 4 that can be <9>
R5C4 is the only square in row 5 that can be <6>
R7C4 can only be <5>
R7C8 can only be <6>
R4C4 can only be <2>
R6C4 can only be <4>
R4C5 can only be <5>
R3C4 can only be <7>
R6C5 can only be <3>
R6C3 can only be <5>
R6C6 can only be <9>
R5C6 can only be <7>
R3C6 can only be <3>
R2C5 can only be <4>
R3C8 can only be <9>
R3C2 can only be <2>
R3C9 can only be <6>
R1C8 can only be <3>
R9C8 can only be <5>
R2C9 can only be <7>
R1C5 can only be <2>
R2C3 can only be <3>
R9C9 can only be <9>
R1C7 can only be <4>
R1C2 can only be <9>
R5C2 can only be <3>
R5C1 can only be <2>
R8C9 can only be <4>
R1C1 can only be <6>
R8C7 can only be <7>
R2C1 can only be <5>
R9C3 can only be <6>
R8C5 can only be <6>
R9C1 can only be <3>
R9C5 can only be <7>
R1C3 can only be <7>
R8C1 can only be <9>
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