May 31 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C7 can only be <2>
R2C7 can only be <8>
R2C8 can only be <3>
R3C9 can only be <4>
R6C4 is the only square in column 4 that can be <2>
R5C8 is the only square in row 5 that can be <2>
R9C6 is the only square in column 6 that can be <4>
R7C7 is the only square in column 7 that can be <7>
R8C7 is the only square in column 7 that can be <1>
R7C4 is the only square in column 4 that can be <1>
Squares R5C7 and R6C7 in block 6 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.
R4C8 - removing <9> from <689> leaving <68>
R6C9 - removing <5> from <356> leaving <36>
Intersection of column 1 with block 1. The value <2> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R2C3 - removing <2> from <2569> leaving <569>
R3C3 - removing <2> from <279> leaving <79>
Squares R3C3 and R3C6 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C1 - removing <9> from <239> leaving <23>
R3C5 - removing <79> from <2379> leaving <23>
Intersection of column 4 with block 8. The value <9> only appears in one or more of squares R7C4, R8C4 and R9C4 of column 4. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C5 - removing <9> from <59> leaving <5>
R8C5 - removing <9> from <3589> leaving <358>
R9C5 - removing <9> from <789> leaving <78>
R7C9 can only be <6>
R7C1 can only be <9>
R6C9 can only be <3>
R4C9 can only be <8>
R8C2 can only be <4>
R8C3 can only be <2>
R9C3 can only be <6>
R4C8 can only be <6>
R8C9 can only be <5>
R9C9 can only be <2>
R4C1 can only be <3>
R3C1 can only be <2>
R3C5 can only be <3>
R8C5 can only be <8>
R1C4 can only be <7>
R8C8 can only be <9>
R9C5 can only be <7>
R8C4 can only be <3>
R9C8 can only be <8>
R9C4 can only be <9>
R1C5 can only be <6>
R1C6 can only be <5>
R3C6 can only be <9>
R1C2 can only be <3>
R1C1 can only be <4>
R3C3 can only be <7>
R2C6 can only be <1>
R2C5 can only be <2>
R4C6 can only be <7>
R4C3 can only be <9>
R4C5 can only be <1>
R2C3 can only be <5>
R5C2 can only be <7>
R6C2 can only be <6>
R6C1 can only be <5>
R2C2 can only be <9>
R2C1 can only be <6>
R5C3 can only be <4>
R5C5 can only be <9>
R5C7 can only be <5>
R6C5 can only be <4>
R6C7 can only be <9>
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