Jan 19 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C9 can only be <3>
R2C8 is the only square in row 2 that can be <7>
R3C4 is the only square in row 3 that can be <9>
R3C6 is the only square in row 3 that can be <3>
R8C2 is the only square in block 7 that can be <7>
Squares R6C2 and R6C8 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R6C1 - removing <4> from <47> leaving <7>
R6C3 - removing <9> from <2389> leaving <238>
R6C7 - removing <49> from <23489> leaving <238>
R6C9 - removing <4> from <478> leaving <78>
R6C9 can only be <8>
R4C9 is the only square in row 4 that can be <7>
R5C3 is the only square in row 5 that can be <8>
R5C7 is the only square in row 5 that can be <2>
R6C7 can only be <3>
R6C3 can only be <2>
R4C3 is the only square in row 4 that can be <3>
Squares R5C6 and R9C6 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.
R1C6 - removing <4> from <4568> leaving <568>
R2C6 - removing <4> from <24568> leaving <2568>
R8C6 - removing <4> from <456> leaving <56>
Intersection of column 7 with block 9. The value <9> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C8 - removing <9> from <149> leaving <14>
Intersection of block 5 with row 5. The values <347> 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 <4> from <1456> leaving <156>
R5C2 - removing <4> from <1459> leaving <159>
R5C8 - removing <4> from <1469> leaving <169>
R5C9 - removing <4> from <45> leaving <5>
R3C9 can only be <4>
R3C1 can only be <5>
R7C1 can only be <1>
R1C3 can only be <6>
R7C4 can only be <2>
R5C1 can only be <6>
R9C3 can only be <9>
R7C6 can only be <5>
R8C6 can only be <6>
R1C6 can only be <8>
R8C3 can only be <5>
R1C4 can only be <4>
R2C3 can only be <1>
R2C4 can only be <6>
R2C5 can only be <5>
R1C7 can only be <5>
R2C6 can only be <2>
R2C7 can only be <8>
R2C2 can only be <4>
R4C1 can only be <4>
R6C2 can only be <9>
R4C7 can only be <1>
R4C2 can only be <5>
R4C8 can only be <6>
R9C7 can only be <4>
R5C8 can only be <9>
R5C2 can only be <1>
R6C8 can only be <4>
R8C8 can only be <1>
R8C4 can only be <3>
R9C6 can only be <7>
R8C7 can only be <9>
R8C5 can only be <4>
R5C4 can only be <7>
R5C5 can only be <3>
R9C4 can only be <1>
R5C6 can only be <4>
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