Jun 02 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C3 is the only square in row 1 that can be <7>
R1C9 is the only square in row 1 that can be <9>
R3C6 is the only square in row 3 that can be <7>
R4C1 is the only square in row 4 that can be <3>
R6C4 is the only square in row 6 that can be <3>
R6C3 is the only square in column 3 that can be <4>
R3C3 is the only square in column 3 that can be <5>
R8C9 is the only square in column 9 that can be <8>
R8C8 is the only square in row 8 that can be <7>
R5C2 is the only square in block 4 that can be <6>
R8C4 is the only square in row 8 that can be <6>
Squares R8C5 and R8C6 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C1 - removing <1> from <145> leaving <45>
R8C2 - removing <12> from <1245> leaving <45>
R9C2 is the only square in column 2 that can be <2>
Squares R7C3 and R9C3 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C1 - removing <1> from <189> leaving <89>
R9C1 - removing <1> from <189> leaving <89>
Squares R7C1 and R9C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C1 - removing <8> from <148> leaving <14>
Squares R8C5 and R8C6 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C4 - removing <2> from <289> leaving <89>
R9C6 - removing <1> from <189> leaving <89>
R2C4 is the only square in column 4 that can be <2>
Intersection of column 9 with block 3. The value <1> only appears in one or more of squares R1C9, R2C9 and R3C9 of column 9. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C8 - removing <1> from <145> leaving <45>
R2C8 - removing <1> from <13456> leaving <3456>
R1C2 is the only square in row 1 that can be <1>
R3C2 can only be <3>
R6C2 can only be <5>
R2C1 can only be <4>
R8C1 can only be <5>
R3C7 can only be <2>
R2C2 can only be <8>
R3C9 can only be <1>
R7C7 can only be <6>
R2C9 can only be <6>
R6C1 can only be <1>
R8C2 can only be <4>
R7C3 can only be <1>
R9C7 can only be <3>
R9C8 can only be <1>
R9C3 can only be <6>
R7C8 can only be <2>
R2C5 can only be <1>
R2C6 can only be <5>
R8C5 can only be <2>
R4C6 can only be <2>
R1C4 can only be <8>
R2C8 can only be <3>
R4C9 can only be <7>
R8C6 can only be <1>
R6C5 can only be <7>
R4C5 can only be <4>
R6C9 can only be <2>
R7C4 can only be <9>
R4C7 can only be <5>
R5C5 can only be <8>
R4C8 can only be <6>
R1C7 can only be <4>
R5C8 can only be <4>
R5C6 can only be <9>
R5C4 can only be <5>
R9C6 can only be <8>
R1C8 can only be <5>
R7C1 can only be <8>
R9C1 can only be <9>
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