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Sudoku Solution Path

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Sudoku Puzzle © Kevin Stone

R1C6 is the only square in row 1 that can be <6>
R2C3 is the only square in row 2 that can be <7>
R4C1 is the only square in row 4 that can be <4>
R4C3 is the only square in row 4 that can be <8>
R7C2 is the only square in row 7 that can be <5>
R3C8 is the only square in row 3 that can be <5>
R1C1 is the only square in row 1 that can be <5>
R2C1 is the only square in column 1 that can be <9>
R2C5 is the only square in row 2 that can be <8>
R3C2 is the only square in row 3 that can be <8>
R1C8 is the only square in row 1 that can be <8>
R8C1 is the only square in row 8 that can be <8>
R9C4 is the only square in row 9 that can be <8>
Squares R2C7 and R2C9 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C9 - removing <2> from <239> leaving <39>
   R3C7 - removing <24> from <2349> leaving <39>
Intersection of row 4 with block 6. The value <2> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
   R5C9 - removing <2> from <23679> leaving <3679>
Squares R3C3 and R3C6 in row 3 and R7C3 and R7C6 in row 7 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 3 and 6 can be removed.
   R9C6 - removing <2> from <124> leaving <14>
Squares R5C2 and R5C9 in row 5 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 2 and 9 can be removed.
   R6C9 - removing <6> from <3569> leaving <359>
   R8C9 - removing <6> from <369> leaving <39>
Squares R1C9 and R8C9 in column 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R4C9 - removing <3> from <235> leaving <25>
   R5C9 - removing <39> from <3679> leaving <67>
   R6C9 - removing <39> from <359> leaving <5>
   R9C9 - removing <3> from <3467> leaving <467>
R4C9 can only be <2>
R4C7 can only be <3>
R2C9 can only be <4>
R2C7 can only be <2>
R4C5 can only be <5>
R3C7 can only be <9>
R3C4 can only be <4>
R6C7 can only be <6>
R1C9 can only be <3>
R8C7 can only be <1>
R5C9 can only be <7>
R7C7 can only be <4>
R1C2 can only be <2>
R8C9 can only be <9>
R3C6 can only be <2>
R3C3 can only be <3>
R5C8 can only be <9>
R9C9 can only be <6>
R8C5 can only be <3>
R7C8 can only be <3>
R9C2 can only be <3>
R6C3 can only be <1>
R8C3 can only be <6>
R5C6 can only be <1>
R6C1 can only be <3>
R7C3 can only be <2>
R9C8 can only be <7>
R6C5 can only be <9>
R9C1 can only be <1>
R5C2 can only be <6>
R5C4 can only be <3>
R7C6 can only be <9>
R9C6 can only be <4>
R5C1 can only be <2>
R1C5 can only be <1>
R7C4 can only be <1>
R9C5 can only be <2>
R1C4 can only be <9>

 

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