Oct 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C3 can only be <8>
R8C4 can only be <1>
R6C6 is the only square in row 6 that can be <8>
R1C6 can only be <9>
R8C2 is the only square in row 8 that can be <8>
R4C2 is the only square in column 2 that can be <2>
R7C6 is the only square in column 6 that can be <4>
R8C5 can only be <6>
R9C6 can only be <2>
R2C6 can only be <6>
R2C5 is the only square in column 5 that can be <2>
R1C5 is the only square in column 5 that can be <7>
Squares R9C4 and R9C5 in row 9 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 row.
R9C1 - removing <9> from <13679> leaving <1367>
R9C8 - removing <5> from <3567> leaving <367>
R9C9 - removing <5> from <13567> leaving <1367>
Squares R1C4 and R3C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C4 - removing <3> from <359> leaving <59>
Squares R5C7 and R7C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C7 - removing <23> from <2347> leaving <47>
R4C7 - removing <3> from <347> leaving <47>
Squares R8C8 and R8C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R9C8 - removing <7> from <367> leaving <36>
R9C9 - removing <7> from <1367> leaving <136>
Intersection of column 2 with block 1. The value <5> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <5> from <1458> leaving <148>
R2C1 - removing <5> from <579> leaving <79>
Squares R2C1 and R3C3 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C2 - removing <7> from <57> leaving <5>
R3C1 - removing <79> from <46789> leaving <468>
R3C2 - removing <7> from <67> leaving <6>
R1C2 can only be <1>
R7C2 can only be <3>
R7C7 can only be <2>
R9C2 can only be <7>
R5C7 can only be <3>
R5C1 can only be <5>
R5C5 can only be <9>
R5C9 can only be <2>
R9C5 can only be <5>
R4C4 can only be <5>
R9C4 can only be <9>
R3C8 is the only square in row 3 that can be <2>
R4C9 is the only square in row 4 that can be <9>
R3C3 is the only square in row 3 that can be <9>
R7C3 can only be <1>
R2C1 can only be <7>
R6C3 can only be <7>
R9C1 can only be <6>
R9C8 can only be <3>
R7C1 can only be <9>
R9C9 can only be <1>
R2C8 can only be <9>
R4C1 can only be <3>
R4C5 can only be <4>
R6C1 can only be <1>
R4C7 can only be <7>
R6C5 can only be <3>
R3C7 can only be <4>
R3C1 can only be <8>
R1C8 can only be <5>
R1C9 can only be <3>
R7C8 can only be <6>
R1C4 can only be <8>
R3C9 can only be <7>
R3C4 can only be <3>
R1C1 can only be <4>
R8C9 can only be <4>
R7C9 can only be <5>
R6C8 can only be <4>
R8C8 can only be <7>
R6C9 can only be <6>
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