Aug 22 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C1 can only be <6>
R3C3 is the only square in row 3 that can be <2>
R4C5 is the only square in row 4 that can be <7>
R6C6 is the only square in row 6 that can be <6>
R8C7 is the only square in row 8 that can be <7>
Intersection of block 2 with row 3. The value <4> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.
R3C2 - removing <4> from <4578> leaving <578>
R3C7 - removing <4> from <13459> leaving <1359>
R3C8 - removing <4> from <34589> leaving <3589>
Intersection of block 4 with column 3. The value <8> only appears in one or more of squares R4C3, R5C3 and R6C3 of block 4. These squares are the ones that intersect with column 3. Thus, the other (non-intersecting) squares of column 3 cannot contain this value.
R1C3 - removing <8> from <34589> leaving <3459>
R2C3 - removing <8> from <489> leaving <49>
R7C3 - removing <8> from <135689> leaving <13569>
R9C3 - removing <8> from <35689> leaving <3569>
R2C5 is the only square in row 2 that can be <8>
Squares R6C5 and R6C7 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R6C3 - removing <1> from <148> leaving <48>
R6C4 - removing <9> from <489> leaving <48>
Squares R1C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C5 - removing <19> from <12359> leaving <235>
R8C5 - removing <9> from <59> leaving <5>
R9C5 - removing <9> from <2359> leaving <235>
R8C3 can only be <9>
R2C3 can only be <4>
R2C7 can only be <9>
R6C3 can only be <8>
R6C7 can only be <1>
R6C4 can only be <4>
R4C3 can only be <1>
R3C4 can only be <9>
R6C5 can only be <9>
R7C4 can only be <2>
R1C5 can only be <1>
R4C6 can only be <3>
R5C2 can only be <4>
R4C7 can only be <2>
R7C6 can only be <9>
R5C5 can only be <2>
R4C4 can only be <8>
R5C9 can only be <9>
R5C4 can only be <5>
R9C5 can only be <3>
R5C6 can only be <1>
R5C8 can only be <3>
R9C1 can only be <8>
R3C6 can only be <4>
R9C2 can only be <5>
R9C3 can only be <6>
R1C2 can only be <8>
R9C7 can only be <4>
R9C9 can only be <2>
R7C3 can only be <3>
R9C8 can only be <9>
R1C9 can only be <6>
R3C2 can only be <7>
R7C9 can only be <8>
R3C1 can only be <3>
R7C2 can only be <1>
R7C1 can only be <7>
R1C3 can only be <5>
R7C8 can only be <5>
R3C9 can only be <1>
R1C7 can only be <3>
R1C8 can only be <4>
R1C1 can only be <9>
R3C7 can only be <5>
R3C8 can only be <8>
R7C7 can only be <6>
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