Dec 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C3 can only be <6>
R3C1 can only be <8>
R3C2 can only be <7>
R3C9 is the only square in row 3 that can be <4>
R4C1 is the only square in row 4 that can be <5>
R7C1 is the only square in row 7 that can be <3>
R9C2 is the only square in column 2 that can be <8>
R8C2 is the only square in column 2 that can be <9>
R8C1 is the only square in row 8 that can be <6>
R9C1 is the only square in column 1 that can be <4>
Squares R8C3 and R9C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C3 - removing <2> from <123> leaving <13>
R6C3 - removing <2> from <123> leaving <13>
Squares R3C4 and R3C5 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C4 - removing <59> from <25789> leaving <278>
R1C5 - removing <59> from <1256789> leaving <12678>
Intersection of row 2 with block 2. The values <12> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R1C4 - removing <2> from <278> leaving <78>
R1C5 - removing <12> from <12678> leaving <678>
Intersection of row 2 with block 3. The value <3> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. 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 <3> from <367> leaving <67>
R1C8 - removing <3> from <35689> leaving <5689>
Squares R1C7 and R2C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C8 - removing <6> from <5689> leaving <589>
R1C9 - removing <67> from <5679> leaving <59>
R2C7 - removing <67> from <367> leaving <3>
R2C8 - removing <6> from <368> leaving <38>
R2C8 can only be <8>
R4C2 is the only square in row 4 that can be <3>
R1C2 can only be <2>
R6C3 can only be <1>
R1C3 can only be <3>
R5C1 can only be <2>
R1C1 can only be <1>
R5C2 can only be <6>
R5C8 can only be <4>
R5C9 can only be <1>
R4C5 is the only square in row 4 that can be <4>
R6C8 is the only square in row 6 that can be <3>
R7C7 is the only square in row 7 that can be <4>
R8C4 is the only square in row 8 that can be <4>
R3C4 is the only square in column 4 that can be <5>
R3C5 can only be <9>
R5C4 is the only square in column 4 that can be <9>
R5C6 can only be <7>
R8C6 can only be <2>
R8C3 can only be <5>
R4C6 can only be <6>
R4C7 can only be <2>
R2C6 can only be <1>
R6C9 can only be <6>
R2C9 can only be <7>
R8C5 can only be <7>
R9C3 can only be <2>
R9C6 can only be <9>
R2C4 can only be <2>
R1C7 can only be <6>
R9C9 can only be <5>
R7C6 can only be <8>
R9C5 can only be <1>
R9C8 can only be <6>
R1C9 can only be <9>
R7C8 can only be <9>
R1C5 can only be <8>
R9C7 can only be <7>
R1C8 can only be <5>
R7C9 can only be <2>
R2C5 can only be <6>
R6C4 can only be <8>
R6C5 can only be <2>
R1C4 can only be <7>
R7C5 can only be <5>
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