Oct 28 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C7 is the only square in row 3 that can be <2>
R7C7 can only be <6>
R7C3 can only be <4>
R3C3 is the only square in row 3 that can be <1>
R3C5 is the only square in row 3 that can be <8>
R1C2 is the only square in row 1 that can be <8>
R5C3 is the only square in column 3 that can be <6>
R8C9 is the only square in column 9 that can be <8>
Squares R3C4 and R3C6 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C4 - removing <46> from <34569> leaving <359>
R2C5 - removing <4> from <4579> leaving <579>
R2C6 - removing <46> from <34679> leaving <379>
Squares R4C3 and R6C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C2 - removing <5> from <3457> leaving <347>
R5C1 - removing <5> from <2345> leaving <234>
R5C2 - removing <5> from <2345> leaving <234>
R6C2 - removing <5> from <2457> leaving <247>
Intersection of row 7 with block 8. The values <239> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
R8C4 - removing <2> from <246> leaving <46>
R8C5 - removing <2> from <1247> leaving <147>
R9C5 - removing <2> from <124> leaving <14>
Squares R9C5 and R9C9 in row 9 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.
R9C8 - removing <14> from <124> leaving <2>
Squares R3C4 and R8C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C4 - removing <4> from <45> leaving <5>
R6C4 - removing <4> from <2459> leaving <259>
R4C3 can only be <8>
R6C3 can only be <5>
R6C7 can only be <7>
R4C7 can only be <1>
R4C6 can only be <4>
R5C7 can only be <5>
R4C8 can only be <3>
R3C6 can only be <6>
R6C6 can only be <9>
R4C2 can only be <7>
R6C4 can only be <2>
R7C6 can only be <3>
R2C6 can only be <7>
R3C4 can only be <4>
R8C6 can only be <1>
R6C2 can only be <4>
R7C4 can only be <9>
R5C5 can only be <1>
R7C5 can only be <2>
R2C4 can only be <3>
R8C8 can only be <4>
R9C5 can only be <4>
R8C4 can only be <6>
R8C5 can only be <7>
R5C8 can only be <9>
R6C8 can only be <8>
R9C9 can only be <1>
R2C9 can only be <9>
R2C5 can only be <5>
R1C9 can only be <7>
R5C9 can only be <4>
R1C8 can only be <6>
R1C1 can only be <5>
R2C8 can only be <1>
R2C2 can only be <6>
R1C5 can only be <9>
R8C1 can only be <2>
R2C1 can only be <4>
R9C2 can only be <3>
R8C2 can only be <5>
R5C1 can only be <3>
R9C1 can only be <6>
R5C2 can only be <2>
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