Jan 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C4 can only be <1>
R8C4 can only be <3>
R1C5 can only be <6>
R1C4 can only be <4>
R2C6 can only be <7>
R1C7 is the only square in row 1 that can be <1>
R2C1 is the only square in row 2 that can be <4>
R2C2 is the only square in row 2 that can be <8>
R3C2 is the only square in row 3 that can be <7>
R8C9 is the only square in row 8 that can be <7>
R8C8 is the only square in row 8 that can be <1>
R9C9 can only be <3>
R8C3 is the only square in row 8 that can be <4>
R5C1 is the only square in column 1 that can be <8>
R6C4 is the only square in row 6 that can be <8>
R7C2 is the only square in column 2 that can be <3>
R3C3 is the only square in column 3 that can be <3>
R3C7 can only be <2>
R3C8 can only be <9>
Squares R4C4 and R5C4 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C6 - removing <5> from <1459> leaving <149>
R5C6 - removing <5> from <1245> leaving <124>
R6C6 - removing <5> from <1259> leaving <129>
Squares R8C1 and R8C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C3 - removing <2> from <258> leaving <58>
R9C3 - removing <2> from <258> leaving <58>
Squares R7C3 and R9C3 in column 3 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 column.
R1C3 - removing <5> from <259> leaving <29>
R4C3 - removing <5> from <569> leaving <69>
R6C3 - removing <5> from <2569> leaving <269>
Intersection of row 6 with block 6. The value <5> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R5C8 - removing <5> from <3456> leaving <346>
R5C9 - removing <5> from <156> leaving <16>
Squares R5C9<16>, R6C8<56> and R6C9<156> in block 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <156>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C7 - removing <6> from <3467> leaving <347>
R5C8 - removing <6> from <346> leaving <34>
R6C7 - removing <6> from <67> leaving <7>
R4C5 is the only square in row 4 that can be <7>
R4C7 is the only square in row 4 that can be <3>
R2C7 can only be <6>
R5C8 can only be <4>
R9C8 can only be <2>
R9C5 can only be <1>
R7C8 can only be <6>
R2C9 can only be <5>
R7C7 can only be <8>
R2C8 can only be <3>
R7C3 can only be <5>
R9C7 can only be <4>
R6C8 can only be <5>
R9C6 can only be <5>
R6C5 can only be <2>
R9C3 can only be <8>
R7C6 can only be <2>
R5C5 can only be <3>
R5C6 can only be <1>
R5C9 can only be <6>
R6C6 can only be <9>
R5C4 can only be <5>
R6C9 can only be <1>
R6C3 can only be <6>
R4C6 can only be <4>
R5C2 can only be <2>
R4C4 can only be <6>
R4C3 can only be <9>
R4C1 can only be <5>
R1C3 can only be <2>
R8C2 can only be <9>
R8C1 can only be <2>
R1C2 can only be <5>
R4C2 can only be <1>
R1C1 can only be <9>
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