Nov 14 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C9 can only be <1>
R8C1 can only be <1>
R2C1 can only be <5>
R8C3 can only be <4>
R9C3 can only be <7>
R7C2 can only be <8>
R2C7 can only be <7>
R5C1 can only be <3>
R5C9 can only be <2>
R8C9 can only be <3>
R4C8 is the only square in row 4 that can be <3>
R5C3 is the only square in row 5 that can be <5>
R5C8 is the only square in row 5 that can be <6>
R6C7 is the only square in row 6 that can be <8>
Squares R9C4 and R9C7 in row 9 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 row.
R9C5 - removing <24> from <2346> leaving <36>
R9C6 - removing <24> from <2346> leaving <36>
Squares R2C4 and R9C4 in column 4 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.
R3C4 - removing <2> from <12579> leaving <1579>
R7C4 - removing <4> from <1457> leaving <157>
R8C4 - removing <2> from <259> leaving <59>
Intersection of block 5 with column 5. The values <247> only appears in one or more of squares R4C5, R5C5 and R6C5 of block 5. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain these values.
R2C5 - removing <24> from <2346> leaving <36>
R3C5 - removing <27> from <12579> leaving <159>
R7C5 - removing <47> from <1457> leaving <15>
R8C5 - removing <2> from <2589> leaving <589>
Squares R2C5 and R9C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C5 - removing <6> from <15689> leaving <1589>
Squares R9C5, R9C6, R2C5 and R2C6 form a Type-1 Unique Rectangle on <36>.
R2C6 - removing <36> from <2346> leaving <24>
R2C5 is the only square in row 2 that can be <3>
R9C5 can only be <6>
R9C6 can only be <3>
R2C3 is the only square in row 2 that can be <6>
R1C3 can only be <1>
R3C2 can only be <2>
R3C6 can only be <7>
R7C6 can only be <4>
R7C8 can only be <5>
R2C6 can only be <2>
R9C4 can only be <2>
R7C5 can only be <1>
R3C8 can only be <9>
R8C7 can only be <2>
R8C6 can only be <8>
R9C7 can only be <4>
R2C4 can only be <4>
R5C7 can only be <1>
R6C8 can only be <4>
R1C7 can only be <5>
R4C7 can only be <9>
R6C2 can only be <7>
R7C4 can only be <7>
R3C5 can only be <5>
R1C6 can only be <6>
R1C4 can only be <9>
R3C4 can only be <1>
R8C5 can only be <9>
R4C3 can only be <2>
R6C5 can only be <2>
R5C2 can only be <4>
R6C3 can only be <9>
R4C5 can only be <4>
R8C4 can only be <5>
R1C5 can only be <8>
R4C2 can only be <1>
R5C5 can only be <7>
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