May 12 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C9 can only be <3>
R2C5 is the only square in row 2 that can be <8>
R2C3 is the only square in column 3 that can be <4>
R3C5 is the only square in block 2 that can be <6>
R7C5 can only be <3>
Squares R1C4 and R1C6 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C1 - removing <39> from <12379> leaving <127>
R1C2 - removing <39> from <12379> leaving <127>
R1C8 - removing <39> from <1349> leaving <14>
Intersection of column 2 with block 1. The value <1> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <1> from <127> leaving <27>
Intersection of block 6 with row 5. The value <9> only appears in one or more of squares R5C7, R5C8 and R5C9 of block 6. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.
R5C2 - removing <9> from <279> leaving <27>
R5C3 - removing <9> from <279> leaving <27>
R5C4 - removing <9> from <3459> leaving <345>
R5C5 - removing <9> from <249> leaving <24>
R5C6 - removing <9> from <3789> leaving <378>
Squares R5C2 and R5C3 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C5 - removing <2> from <24> leaving <4>
R5C6 - removing <7> from <378> leaving <38>
R8C5 can only be <9>
R4C5 can only be <1>
R9C6 can only be <6>
R9C4 can only be <4>
R6C5 can only be <2>
R4C4 is the only square in row 4 that can be <6>
R6C1 is the only square in row 6 that can be <1>
R3C3 is the only square in column 3 that can be <9>
R9C2 is the only square in column 2 that can be <9>
R4C1 is the only square in column 1 that can be <9>
R4C6 can only be <7>
R8C2 is the only square in column 2 that can be <8>
R8C1 is the only square in row 8 that can be <3>
R1C1 is the only square in column 1 that can be <7>
R7C2 is the only square in column 2 that can be <6>
R5C2 is the only square in column 2 that can be <7>
R5C3 can only be <2>
R7C3 can only be <7>
R7C8 can only be <1>
R8C3 can only be <5>
R7C7 can only be <2>
R1C8 can only be <4>
R8C7 can only be <6>
R9C1 can only be <2>
R8C9 can only be <4>
R8C8 can only be <7>
R1C9 can only be <2>
R2C1 can only be <5>
R1C2 can only be <1>
R2C7 can only be <9>
R2C9 can only be <6>
R2C8 can only be <3>
R5C7 can only be <5>
R2C2 can only be <2>
R3C8 can only be <5>
R3C7 can only be <1>
R9C8 can only be <8>
R5C4 can only be <3>
R6C9 can only be <8>
R6C6 can only be <9>
R9C9 can only be <5>
R5C8 can only be <9>
R3C2 can only be <3>
R5C6 can only be <8>
R1C4 can only be <9>
R6C4 can only be <5>
R1C6 can only be <3>
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