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Sudoku Solution Path

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Copyright © Kevin Stone

R1C4 can only be <4>
R7C3 can only be <1>
R3C2 is the only square in row 3 that can be <1>
R3C3 is the only square in row 3 that can be <3>
R5C2 is the only square in row 5 that can be <3>
R8C8 is the only square in row 8 that can be <3>
R8C6 is the only square in column 6 that can be <4>
Squares R3C7 and R8C7 in column 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C7 - removing <68> from <6789> leaving <79>
   R5C7 - removing <8> from <4789> leaving <479>
   R7C7 - removing <6> from <46> leaving <4>
R5C8 is the only square in row 5 that can be <4>
Squares R1C6<28>, R2C5<268> and R3C5<268> in block 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <268>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C4 - removing <6> from <136> leaving <13>
   R2C6 - removing <268> from <12368> leaving <13>
Intersection of block 2 with column 5. The value <6> only appears in one or more of squares R1C5, R2C5 and R3C5 of block 2. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.
   R7C5 - removing <6> from <256> leaving <25>
   R8C5 - removing <6> from <2569> leaving <259>
Squares R2C1 and R8C1 in column 1 and R2C9 and R8C9 in column 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 2 and 8 can be removed.
   R2C2 - removing <2> from <2489> leaving <489>
   R8C2 - removing <2> from <25678> leaving <5678>
   R2C5 - removing <2> from <268> leaving <68>
   R8C5 - removing <2> from <259> leaving <59>
   R2C8 - removing <2> from <256789> leaving <56789>
Squares R2C3 and R5C3 in column 3 and R2C7 and R5C7 in column 7 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in rows 2 and 5 can be removed.
   R2C2 - removing <9> from <489> leaving <48>
   R5C5 - removing <9> from <89> leaving <8>
   R2C8 - removing <9> from <56789> leaving <5678>
R2C5 can only be <6>
R6C6 can only be <6>
R4C6 can only be <3>
R3C5 can only be <2>
R7C5 can only be <5>
R1C6 can only be <8>
R2C6 can only be <1>
R8C5 can only be <9>
R2C4 can only be <3>
R9C6 can only be <2>
R8C2 is the only square in row 8 that can be <5>
R8C3 is the only square in row 8 that can be <7>
R5C3 can only be <9>
R5C7 can only be <7>
R2C3 can only be <8>
R2C7 can only be <9>
R2C2 can only be <4>
R1C8 can only be <2>
R1C2 can only be <9>
R7C8 can only be <6>
R2C9 can only be <5>
R2C1 can only be <2>
R2C8 can only be <7>
R6C9 can only be <8>
R6C1 can only be <4>
R6C2 can only be <7>
R4C9 can only be <1>
R7C2 can only be <2>
R3C8 can only be <8>
R8C7 can only be <8>
R3C7 can only be <6>
R9C8 can only be <1>
R9C4 can only be <6>
R4C8 can only be <9>
R8C9 can only be <2>
R8C1 can only be <6>
R4C4 can only be <7>
R6C8 can only be <5>
R6C4 can only be <9>
R8C4 can only be <1>
R4C1 can only be <8>
R9C2 can only be <8>
R4C2 can only be <6>

 

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