Sep 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C7 is the only square in row 1 that can be <1>
R1C5 is the only square in row 1 that can be <8>
R4C1 is the only square in row 4 that can be <1>
R8C5 is the only square in row 8 that can be <1>
R9C2 is the only square in row 9 that can be <7>
R2C2 can only be <4>
R1C2 can only be <2>
R6C1 is the only square in row 6 that can be <4>
R9C9 is the only square in row 9 that can be <1>
R7C2 is the only square in row 7 that can be <1>
R3C3 is the only square in column 3 that can be <6>
R4C3 is the only square in column 3 that can be <3>
R4C9 is the only square in row 4 that can be <8>
R5C1 is the only square in row 5 that can be <8>
R7C1 can only be <2>
R8C1 can only be <9>
R8C4 can only be <5>
R8C3 can only be <4>
R8C8 can only be <2>
R9C3 can only be <5>
R7C3 can only be <8>
R5C9 is the only square in row 5 that can be <2>
R3C7 is the only square in row 3 that can be <2>
R7C7 is the only square in row 7 that can be <5>
R9C5 is the only square in row 9 that can be <2>
R1C8 is the only square in column 8 that can be <6>
R1C6 is the only square in row 1 that can be <4>
R9C8 is the only square in row 9 that can be <4>
R7C9 can only be <3>
R7C4 can only be <6>
R7C5 can only be <4>
R3C9 is the only square in row 3 that can be <4>
Squares R3C1 and R3C8 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C5 - removing <37> from <3579> leaving <59>
R3C6 - removing <3> from <359> leaving <59>
Squares R3C5 and R3C6 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.
R2C5 - removing <9> from <3679> leaving <367>
R2C6 - removing <9> from <369> leaving <36>
Intersection of row 4 with block 5. The value <9> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C5 - removing <9> from <359> leaving <35>
R6C5 - removing <9> from <35679> leaving <3567>
R6C6 - removing <9> from <3569> leaving <356>
R5C2 is the only square in row 5 that can be <9>
R6C2 can only be <5>
R3C6 is the only square in column 6 that can be <5>
R3C5 can only be <9>
R4C4 is the only square in row 4 that can be <9>
R9C4 can only be <3>
R9C6 can only be <9>
R1C4 can only be <7>
R1C1 can only be <3>
R3C1 can only be <7>
R3C8 can only be <3>
R5C8 can only be <5>
R2C7 can only be <9>
R5C5 can only be <3>
R4C8 can only be <7>
R2C9 can only be <7>
R6C7 can only be <3>
R6C9 can only be <9>
R4C5 can only be <5>
R2C5 can only be <6>
R6C6 can only be <6>
R6C5 can only be <7>
R2C6 can only be <3>
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