Nov 19 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C2 is the only square in row 1 that can be <9>
R2C9 is the only square in row 2 that can be <7>
R3C7 is the only square in row 3 that can be <1>
R4C5 is the only square in row 4 that can be <9>
R4C6 is the only square in row 4 that can be <6>
R5C9 is the only square in row 5 that can be <9>
R5C7 is the only square in row 5 that can be <6>
R7C8 is the only square in row 7 that can be <9>
R8C1 is the only square in row 8 that can be <2>
R9C1 is the only square in column 1 that can be <1>
R9C2 is the only square in block 7 that can be <6>
R2C1 is the only square in row 2 that can be <6>
Intersection of row 2 with block 1. The value <4> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <4> from <3458> leaving <358>
Intersection of row 4 with block 4. The value <7> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C3 - removing <7> from <2478> leaving <248>
Intersection of row 5 with block 5. The values <17> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R6C5 - removing <7> from <23478> leaving <2348>
R6C6 - removing <7> from <3578> leaving <358>
Intersection of row 6 with block 5. The values <345> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R4C4 - removing <3> from <238> leaving <28>
R5C4 - removing <4> from <1248> leaving <128>
R5C5 - removing <4> from <2478> leaving <278>
Intersection of block 6 with row 6. The values <278> only appears in one or more of squares R6C7, R6C8 and R6C9 of block 6. These squares are the ones that intersect with row 6. Thus, the other (non-intersecting) squares of row 6 cannot contain these values.
R6C4 - removing <28> from <23458> leaving <345>
R6C5 - removing <28> from <2348> leaving <34>
R6C6 - removing <8> from <358> leaving <35>
Squares R2C6 and R6C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C6 - removing <35> from <358> leaving <8>
R8C6 - removing <3> from <137> leaving <17>
R3C3 is the only square in row 3 that can be <8>
R3C8 is the only square in row 3 that can be <5>
R1C7 can only be <3>
R1C1 can only be <5>
R8C7 can only be <7>
R8C6 can only be <1>
R6C7 can only be <8>
R9C8 can only be <4>
R8C8 can only be <6>
R6C9 can only be <2>
R7C7 can only be <5>
R6C8 can only be <7>
R3C9 can only be <6>
R5C6 can only be <7>
R8C9 can only be <3>
R1C8 can only be <2>
R8C4 can only be <4>
R9C9 can only be <8>
R9C4 can only be <3>
R1C5 can only be <6>
R1C9 can only be <4>
R9C5 can only be <7>
R6C4 can only be <5>
R9C3 can only be <5>
R7C5 can only be <8>
R6C6 can only be <3>
R2C4 can only be <2>
R6C5 can only be <4>
R2C6 can only be <5>
R5C5 can only be <2>
R4C4 can only be <8>
R3C5 can only be <3>
R3C2 can only be <2>
R4C1 can only be <3>
R5C4 can only be <1>
R5C3 can only be <4>
R4C2 can only be <7>
R7C1 can only be <4>
R4C3 can only be <2>
R5C1 can only be <8>
R2C3 can only be <3>
R7C2 can only be <3>
R7C3 can only be <7>
R2C2 can only be <4>
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