Jun 28 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C4 is the only square in row 3 that can be <5>
R3C7 is the only square in row 3 that can be <9>
R1C5 is the only square in row 1 that can be <9>
R4C2 is the only square in row 4 that can be <9>
R5C8 is the only square in row 5 that can be <1>
R6C8 is the only square in row 6 that can be <9>
R7C6 is the only square in row 7 that can be <6>
R1C2 is the only square in row 1 that can be <6>
R1C1 is the only square in row 1 that can be <1>
R9C3 is the only square in row 9 that can be <9>
Squares R5C1 and R5C2 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C3 - removing <8> from <268> leaving <26>
R5C5 - removing <5> from <23456> leaving <2346>
Squares R1C6, R2C6 and R4C6 in column 6 form a simple naked triplet. These 3 squares all contain the 3 possibilities <248>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R6C6 - removing <2> from <125> leaving <15>
R8C6 - removing <24> from <1245> leaving <15>
Squares R5C1 and R5C2 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C1 - removing <8> from <78> leaving <7>
R6C9 is the only square in row 6 that can be <7>
Intersection of row 1 with block 3. The value <7> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R2C8 - removing <7> from <23478> leaving <2348>
Intersection of column 1 with block 7. The value <4> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C3 - removing <4> from <47> leaving <7>
R2C2 is the only square in row 2 that can be <7>
R2C8 is the only square in row 2 that can be <3>
R7C8 can only be <4>
R7C1 can only be <5>
R7C7 can only be <3>
R5C1 can only be <8>
R5C2 can only be <5>
R9C1 can only be <4>
R3C2 is the only square in row 3 that can be <3>
R4C5 is the only square in row 4 that can be <3>
R5C9 is the only square in row 5 that can be <3>
R9C5 is the only square in row 9 that can be <5>
R8C6 can only be <1>
R8C2 can only be <8>
R6C6 can only be <5>
R9C4 can only be <2>
R9C9 can only be <8>
R8C4 can only be <4>
R9C2 can only be <1>
R9C8 can only be <7>
R3C9 can only be <4>
R3C3 can only be <8>
R1C9 can only be <2>
R8C5 can only be <7>
R4C4 can only be <8>
R8C8 can only be <2>
R8C7 can only be <5>
R1C8 can only be <8>
R1C6 can only be <4>
R1C7 can only be <7>
R2C3 can only be <4>
R2C4 can only be <6>
R4C6 can only be <2>
R2C5 can only be <2>
R6C4 can only be <1>
R2C6 can only be <8>
R6C5 can only be <6>
R4C7 can only be <4>
R5C7 can only be <2>
R5C3 can only be <6>
R6C3 can only be <2>
R5C5 can only be <4>
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