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Sudoku Solution Path

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Copyright © Kevin Stone

R4C2 can only be <1>
R6C4 can only be <1>
R6C6 can only be <6>
R7C9 can only be <4>
R4C4 can only be <9>
R6C8 can only be <3>
R4C6 can only be <8>
R6C2 can only be <4>
R4C8 can only be <6>
R5C5 can only be <4>
R5C9 can only be <9>
R5C7 can only be <1>
R5C8 can only be <8>
R9C9 can only be <3>
R1C1 is the only square in row 1 that can be <3>
R2C8 is the only square in row 2 that can be <4>
R5C2 is the only square in row 5 that can be <3>
R7C5 is the only square in row 7 that can be <1>
R7C2 is the only square in row 7 that can be <2>
R8C7 is the only square in row 8 that can be <6>
R9C3 is the only square in row 9 that can be <1>
R9C5 is the only square in row 9 that can be <8>
R8C3 is the only square in row 8 that can be <8>
R2C7 is the only square in column 7 that can be <5>
R5C3 is the only square in column 3 that can be <5>
R5C1 can only be <6>
Squares R1C3 and R1C9 in row 1 form a simple locked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R1C5 - removing <26> from <2679> leaving <79>
Intersection of block 8 with row 8. The values <237> only appears in one or more of squares R8C4, R8C5 and R8C6 of block 8. These squares are the ones that intersect with row 8. Thus, the other (non-intersecting) squares of row 8 cannot contain these values.
   R8C2 - removing <7> from <579> leaving <59>
   R8C8 - removing <7> from <579> leaving <59>
Intersection of column 2 with block 1. The value <7> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R3C1 - removing <7> from <579> leaving <59>
Squares R3C1<59>, R3C2<579> and R3C8<79> in row 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <579>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R3C5 - removing <79> from <2679> leaving <26>
Squares R3C8 and R9C1 form a remote locked pair. <79> can be removed from any square that is common to their groups.
   R3C1 - removing <9> from <59> leaving <5>
R7C1 can only be <7>
R7C8 can only be <5>
R9C1 can only be <9>
R8C8 can only be <9>
R8C2 can only be <5>
R3C8 can only be <7>
R9C7 can only be <7>
R1C7 can only be <9>
R1C5 can only be <7>
R3C2 can only be <9>
R8C5 can only be <2>
R2C4 can only be <3>
R2C6 can only be <2>
R8C4 can only be <7>
R2C3 can only be <6>
R8C6 can only be <3>
R3C5 can only be <6>
R2C2 can only be <7>
R3C9 can only be <2>
R2C5 can only be <9>
R1C9 can only be <6>
R1C3 can only be <2>

 

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