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Sudoku Solution Path

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Copyright © Kevin Stone

R9C3 can only be <1>
R3C8 is the only square in row 3 that can be <6>
R4C2 is the only square in row 4 that can be <7>
R3C1 is the only square in row 3 that can be <7>
R1C9 is the only square in row 1 that can be <7>
R6C8 is the only square in row 6 that can be <8>
R6C4 is the only square in row 6 that can be <2>
R6C5 is the only square in row 6 that can be <5>
R9C2 is the only square in row 9 that can be <5>
R8C2 can only be <9>
R8C3 can only be <2>
R7C2 can only be <3>
R6C2 can only be <4>
R9C1 can only be <6>
R6C3 can only be <9>
R6C1 can only be <3>
R3C3 can only be <4>
R5C1 can only be <1>
R2C1 can only be <2>
R1C1 can only be <9>
R3C6 is the only square in row 3 that can be <2>
R8C4 is the only square in row 8 that can be <5>
R7C7 is the only square in row 7 that can be <5>
R4C8 is the only square in column 8 that can be <9>
R9C8 is the only square in column 8 that can be <3>
Intersection of column 5 with block 5. The value <4> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
   R4C6 - removing <4> from <134> leaving <13>
   R5C4 - removing <4> from <3469> leaving <369>
   R5C6 - removing <4> from <3469> leaving <369>
Intersection of column 4 with block 2. The value <4> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R2C6 - removing <4> from <1348> leaving <138>
Intersection of column 8 with block 3. The value <4> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R1C7 - removing <4> from <248> leaving <28>
   R2C7 - removing <4> from <48> leaving <8>
R1C7 can only be <2>
R4C7 can only be <4>
R4C5 can only be <1>
R5C9 can only be <3>
R4C9 can only be <2>
R4C6 can only be <3>
R2C6 can only be <1>
R2C8 can only be <4>
R8C6 can only be <4>
R1C4 can only be <4>
R3C4 can only be <9>
R2C4 can only be <3>
R1C8 can only be <1>
R3C5 can only be <8>
R5C4 can only be <6>
R3C2 can only be <1>
R7C5 can only be <9>
R5C6 can only be <9>
R7C4 can only be <1>
R5C5 can only be <4>
R7C8 can only be <2>
R7C9 can only be <8>
R7C6 can only be <6>
R9C9 can only be <4>
R8C9 can only be <1>
R9C6 can only be <8>
R1C2 can only be <8>

[Puzzle Code = Sudoku-20190416-Hard-028105]

 

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