Nov 20 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C3 is the only square in row 3 that can be <5>
R3C2 is the only square in row 3 that can be <1>
R4C1 is the only square in row 4 that can be <7>
R8C4 is the only square in row 8 that can be <9>
R3C5 is the only square in row 3 that can be <9>
R9C4 is the only square in row 9 that can be <7>
R3C6 is the only square in row 3 that can be <7>
R1C2 is the only square in row 1 that can be <7>
R2C7 is the only square in row 2 that can be <7>
R2C2 is the only square in row 2 that can be <9>
R1C8 is the only square in row 1 that can be <9>
R5C1 is the only square in row 5 that can be <9>
R6C7 is the only square in row 6 that can be <9>
R6C1 is the only square in column 1 that can be <5>
R4C3 is the only square in block 4 that can be <1>
Squares R3C4 and R7C4 in column 4 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.
R2C4 - removing <36> from <2346> leaving <24>
R4C4 - removing <3> from <234> leaving <24>
Intersection of row 4 with block 6. The values <58> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
R6C9 - removing <8> from <2348> leaving <234>
Intersection of column 8 with block 6. The value <3> only appears in one or more of squares R4C8, R5C8 and R6C8 of column 8. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R4C9 - removing <3> from <23458> leaving <2458>
R5C9 - removing <3> from <134> leaving <14>
R6C9 - removing <3> from <234> leaving <24>
Intersection of column 8 with block 9. The value <6> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R9C9 - removing <6> from <14568> leaving <1458>
Intersection of block 3 with column 9. The values <236> only appears in one or more of squares R1C9, R2C9 and R3C9 of block 3. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain these values.
R4C9 - removing <2> from <2458> leaving <458>
R6C9 - removing <2> from <24> leaving <4>
R6C3 can only be <8>
R5C9 can only be <1>
R5C8 can only be <3>
R6C2 can only be <3>
R8C3 can only be <6>
R2C3 can only be <4>
R2C4 can only be <2>
R1C1 can only be <6>
R4C4 can only be <4>
R5C2 can only be <4>
R4C8 can only be <2>
R6C6 can only be <6>
R6C5 can only be <2>
R2C6 can only be <3>
R1C5 can only be <8>
R1C9 can only be <2>
R1C6 can only be <4>
R2C9 can only be <6>
R3C4 can only be <6>
R3C9 can only be <3>
R7C4 can only be <3>
R4C5 can only be <3>
R8C8 can only be <1>
R9C2 can only be <8>
R8C1 can only be <3>
R8C6 can only be <8>
R9C9 can only be <5>
R9C5 can only be <6>
R4C9 can only be <8>
R7C7 can only be <8>
R4C7 can only be <5>
R7C6 can only be <1>
R8C7 can only be <2>
R9C8 can only be <4>
R7C5 can only be <5>
R9C1 can only be <1>
R7C8 can only be <6>
R7C1 can only be <4>
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