Mar 13 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C6 is the only square in row 1 that can be <3>
R4C7 is the only square in row 4 that can be <9>
R6C3 is the only square in row 6 that can be <4>
R5C4 is the only square in row 5 that can be <4>
R6C9 is the only square in row 6 that can be <8>
R7C3 is the only square in row 7 that can be <3>
R8C5 is the only square in row 8 that can be <8>
R2C4 is the only square in row 2 that can be <8>
R8C3 is the only square in column 3 that can be <6>
Squares R9C1 and R9C2 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C4 - removing <5> from <569> leaving <69>
R9C9 - removing <7> from <679> leaving <69>
Squares R9C1 and R9C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C1 - removing <7> from <147> leaving <14>
R8C2 - removing <7> from <147> leaving <14>
Squares R8C1 and R8C2 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C8 - removing <14> from <1479> leaving <79>
Intersection of row 4 with block 5. The value <6> 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.
R5C6 - removing <6> from <567> leaving <57>
Squares R5C6 and R6C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C6 - removing <57> from <2567> leaving <26>
R8C6 - removing <7> from <79> leaving <9>
R8C8 can only be <7>
R9C4 can only be <6>
R9C9 can only be <9>
R7C4 can only be <5>
R7C6 can only be <2>
R4C4 can only be <1>
R7C5 can only be <7>
R3C6 can only be <6>
R4C3 can only be <7>
R3C4 can only be <9>
R6C5 can only be <3>
R4C1 can only be <5>
R6C8 can only be <1>
R4C5 can only be <6>
R1C8 can only be <4>
R7C8 can only be <6>
R4C2 can only be <3>
R9C1 can only be <7>
R7C9 can only be <1>
R2C8 can only be <9>
R5C8 can only be <3>
R7C7 can only be <4>
R1C9 can only be <2>
R9C2 can only be <5>
R1C1 can only be <1>
R8C1 can only be <4>
R3C3 can only be <8>
R5C3 can only be <1>
R5C2 can only be <2>
R8C2 can only be <1>
R3C1 can only be <2>
R3C5 can only be <1>
R5C1 can only be <8>
R2C2 can only be <7>
R3C7 can only be <7>
R2C5 can only be <2>
R3C2 can only be <4>
R6C7 can only be <5>
R2C9 can only be <6>
R6C6 can only be <7>
R5C7 can only be <6>
R2C7 can only be <1>
R5C9 can only be <7>
R5C6 can only be <5>
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