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Sudoku Solution Path

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Copyright © Kevin Stone

R4C7 can only be <7>
R5C4 can only be <2>
R5C2 can only be <9>
R3C4 can only be <1>
R4C5 can only be <3>
R7C4 can only be <6>
R4C3 can only be <2>
R6C5 can only be <4>
R5C3 can only be <1>
R6C3 can only be <3>
R6C7 can only be <9>
R1C2 is the only square in row 1 that can be <2>
R3C5 is the only square in row 3 that can be <2>
R3C9 is the only square in row 3 that can be <9>
R7C7 is the only square in row 7 that can be <2>
R7C3 is the only square in row 7 that can be <9>
R9C7 is the only square in row 9 that can be <1>
Intersection of row 9 with block 7. The value <6> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
   R8C3 - removing <6> from <4567> leaving <457>
Intersection of column 7 with block 3. The value <3> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R3C8 - removing <3> from <34578> leaving <4578>
Intersection of column 9 with block 9. The value <7> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
   R7C8 - removing <7> from <3457> leaving <345>
   R9C8 - removing <7> from <37> leaving <3>
R9C2 can only be <6>
R9C3 can only be <7>
R1C8 is the only square in row 1 that can be <7>
R3C1 is the only square in row 3 that can be <7>
Squares R1C3 and R1C7 in row 1 and R8C3 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 7 can be removed.
   R2C3 - removing <5> from <4568> leaving <468>
   R2C7 - removing <5> from <34568> leaving <3468>
   R3C3 - removing <5> from <4568> leaving <468>
   R3C7 - removing <5> from <34568> leaving <3468>
R2C5 is the only square in row 2 that can be <5>
R5C5 can only be <7>
R3C6 can only be <8>
R7C6 can only be <7>
R5C6 can only be <5>
R8C5 can only be <1>
R7C9 can only be <4>
R7C8 can only be <5>
R2C9 can only be <6>
R8C1 can only be <4>
R7C5 can only be <8>
R8C9 can only be <7>
R7C2 can only be <3>
R3C8 can only be <4>
R8C7 can only be <6>
R8C3 can only be <5>
R2C1 can only be <3>
R1C3 can only be <8>
R1C7 can only be <5>
R2C3 can only be <4>
R7C1 can only be <1>
R3C2 can only be <5>
R2C7 can only be <8>
R3C3 can only be <6>
R5C7 can only be <4>
R3C7 can only be <3>
R5C8 can only be <8>

 

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