Feb 18 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C7 can only be <5>
R7C8 can only be <2>
R8C7 can only be <6>
R7C3 can only be <9>
R8C8 can only be <1>
R2C7 can only be <8>
R3C7 can only be <3>
R9C9 can only be <8>
R4C9 can only be <5>
R5C9 can only be <6>
R5C8 can only be <7>
R1C9 can only be <2>
R6C9 can only be <3>
R6C8 can only be <9>
R7C2 can only be <3>
R3C3 can only be <6>
R3C2 can only be <9>
R3C8 can only be <4>
R2C8 can only be <6>
R4C8 can only be <8>
R1C1 can only be <1>
R4C1 is the only square in row 4 that can be <9>
R6C2 is the only square in row 6 that can be <6>
Squares R2C6 and R4C6 in column 6 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 column.
R6C6 - removing <4> from <245> leaving <25>
R8C6 - removing <4> from <2345> leaving <235>
R9C6 - removing <4> from <2456> leaving <256>
Intersection of row 5 with block 4. The value <5> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R6C1 - removing <5> from <245> leaving <24>
Squares R2C5<14>, R5C5<12> and R9C5<24> in column 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <124>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R8C5 - removing <24> from <2349> leaving <39>
Squares R1C4<69>, R6C4<45>, R8C4<459> and R9C4<456> in column 4 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <4569>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C4 - removing <4> from <147> leaving <17>
R4C4 - removing <4> from <147> leaving <17>
Squares R2C2, R2C3, R8C2 and R8C3 form a Type-1 Unique Rectangle on <25>.
R8C2 - removing <25> from <245> leaving <4>
R4C2 can only be <1>
R4C4 can only be <7>
R4C6 can only be <4>
R2C4 can only be <1>
R2C6 can only be <7>
R6C4 can only be <5>
R6C6 can only be <2>
R8C4 can only be <9>
R6C1 can only be <4>
R5C5 can only be <1>
R8C5 can only be <3>
R1C4 can only be <6>
R8C6 can only be <5>
R1C5 can only be <9>
R8C3 can only be <2>
R9C6 can only be <6>
R9C4 can only be <4>
R1C6 can only be <3>
R2C5 can only be <4>
R9C5 can only be <2>
R2C3 can only be <5>
R9C1 can only be <5>
R5C1 can only be <2>
R2C2 can only be <2>
R5C2 can only be <5>
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