Nov 10 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C8 can only be <2>
R1C8 can only be <8>
R4C5 is the only square in row 4 that can be <3>
R4C3 is the only square in row 4 that can be <8>
R6C5 is the only square in row 6 that can be <8>
R6C7 is the only square in row 6 that can be <5>
R7C3 is the only square in row 7 that can be <2>
R7C8 is the only square in row 7 that can be <5>
R8C1 is the only square in row 8 that can be <3>
R2C7 is the only square in row 2 that can be <3>
R2C9 is the only square in row 2 that can be <9>
R8C9 is the only square in row 8 that can be <8>
R3C7 is the only square in column 7 that can be <7>
R1C9 can only be <4>
R6C3 is the only square in column 3 that can be <7>
R5C9 is the only square in row 5 that can be <7>
R8C7 is the only square in column 7 that can be <4>
Squares R7C6 and R8C5 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R9C5 - removing <16> from <146> leaving <4>
R9C6 - removing <16> from <1346> leaving <34>
R9C6 can only be <3>
R2C3 is the only square in row 2 that can be <4>
Intersection of row 5 with block 4. The value <1> 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.
R4C1 - removing <1> from <129> leaving <29>
Intersection of block 5 with row 5. The values <245> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain these values.
R5C1 - removing <2> from <1269> leaving <169>
Intersection of block 9 with row 9. The value <6> only appears in one or more of squares R9C7, R9C8 and R9C9 of block 9. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain this value.
R9C1 - removing <6> from <167> leaving <17>
R9C2 - removing <6> from <1678> leaving <178>
Squares R3C3 and R7C6 form a remote naked pair. <16> can be removed from any square that is common to their groups.
R3C6 - removing <16> from <146> leaving <4>
R3C4 can only be <3>
R5C6 can only be <2>
R5C5 can only be <5>
R1C6 can only be <1>
R7C6 can only be <6>
R1C4 can only be <5>
R5C4 can only be <4>
R1C5 can only be <2>
R2C5 can only be <6>
R8C5 can only be <1>
R8C3 can only be <6>
R1C1 can only be <7>
R2C1 can only be <5>
R3C3 can only be <1>
R1C2 can only be <3>
R9C1 can only be <1>
R3C2 can only be <6>
R9C9 can only be <6>
R7C2 can only be <8>
R9C8 can only be <9>
R6C9 can only be <2>
R5C2 can only be <1>
R6C1 can only be <6>
R4C9 can only be <1>
R7C4 can only be <9>
R9C2 can only be <7>
R7C7 can only be <1>
R9C4 can only be <8>
R4C7 can only be <9>
R5C8 can only be <6>
R4C1 can only be <2>
R5C1 can only be <9>
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