Jul 29 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C6 can only be <5>
R7C8 can only be <6>
R9C4 can only be <5>
R9C1 can only be <6>
R9C7 can only be <2>
R9C5 can only be <8>
R7C9 can only be <7>
R7C7 can only be <5>
R2C7 is the only square in row 2 that can be <7>
R3C8 is the only square in row 3 that can be <9>
R6C5 is the only square in row 6 that can be <5>
R7C5 is the only square in row 7 that can be <2>
Squares R7C4 and R8C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C4 - removing <13> from <1349> leaving <49>
R5C4 - removing <3> from <3469> leaving <469>
R6C4 - removing <13> from <1346> leaving <46>
Squares R1C6 and R2C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C6 - removing <13> from <12378> leaving <278>
R5C6 - removing <3> from <2378> leaving <278>
R6C6 - removing <13> from <1238> leaving <28>
R4C5 is the only square in block 5 that can be <1>
R5C5 is the only square in block 5 that can be <3>
Squares R1C5 and R1C9 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C3 - removing <6> from <136> leaving <13>
Squares R3C1 and R5C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C1 - removing <4> from <1345> leaving <135>
R4C1 - removing <24> from <234> leaving <3>
R6C7 is the only square in row 6 that can be <3>
R5C7 is the only square in column 7 that can be <6>
R6C4 is the only square in row 6 that can be <6>
Squares R4C4 and R4C7 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C8 - removing <4> from <48> leaving <8>
R8C8 can only be <4>
R8C7 can only be <9>
R8C9 can only be <8>
R4C7 can only be <4>
R4C4 can only be <9>
R6C9 can only be <2>
R6C6 can only be <8>
R5C9 can only be <9>
R5C4 can only be <4>
R5C1 can only be <2>
R6C3 can only be <1>
R5C6 can only be <7>
R3C1 can only be <4>
R4C3 can only be <7>
R5C3 can only be <8>
R4C6 can only be <2>
R6C2 can only be <4>
R1C3 can only be <3>
R1C6 can only be <1>
R8C3 can only be <5>
R2C6 can only be <3>
R3C2 can only be <8>
R3C5 can only be <6>
R2C2 can only be <1>
R3C3 can only be <2>
R1C5 can only be <4>
R8C1 can only be <1>
R2C3 can only be <6>
R1C9 can only be <6>
R2C9 can only be <4>
R2C1 can only be <5>
R7C2 can only be <3>
R7C4 can only be <1>
R8C4 can only be <3>
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