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Sudoku Solution Path

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Copyright © Kevin Stone

R6C4 can only be <8>
R1C7 is the only square in row 1 that can be <1>
R3C1 is the only square in row 3 that can be <5>
R5C9 is the only square in row 5 that can be <1>
R6C3 is the only square in row 6 that can be <1>
R6C7 is the only square in row 6 that can be <2>
R8C7 is the only square in row 8 that can be <5>
R8C9 is the only square in row 8 that can be <6>
R4C5 is the only square in row 4 that can be <6>
R6C5 can only be <4>
R3C6 is the only square in row 3 that can be <4>
R9C2 is the only square in row 9 that can be <5>
R7C4 is the only square in row 7 that can be <5>
R9C5 is the only square in row 9 that can be <2>
R1C4 is the only square in row 1 that can be <2>
R2C9 is the only square in row 2 that can be <2>
R7C2 is the only square in row 7 that can be <2>
Squares R2C4 and R3C4 in block 2 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 block.
   R1C5 - removing <39> from <3789> leaving <78>
   R3C5 - removing <39> from <3789> leaving <78>
R5C5 is the only square in column 5 that can be <9>
R5C2 can only be <4>
R4C6 can only be <3>
R5C1 can only be <6>
R5C8 can only be <3>
R6C1 can only be <7>
R6C8 can only be <6>
R7C5 is the only square in column 5 that can be <3>
Intersection of row 1 with block 1. The values <34> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
   R2C1 - removing <3> from <389> leaving <89>
   R2C3 - removing <3> from <3789> leaving <789>
Squares R1C2 and R2C1 in block 1 form a simple locked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C1 - removing <89> from <3489> leaving <34>
   R1C3 - removing <89> from <34789> leaving <347>
   R2C3 - removing <89> from <789> leaving <7>
R2C7 can only be <3>
R2C4 can only be <9>
R2C1 can only be <8>
R3C4 can only be <3>
R7C1 can only be <4>
R1C2 can only be <9>
R1C1 can only be <3>
R1C3 can only be <4>
R8C1 can only be <9>
R4C2 can only be <8>
R4C3 can only be <9>
R8C6 can only be <8>
R8C3 can only be <3>
R7C6 can only be <7>
R7C9 can only be <8>
R9C6 can only be <9>
R3C9 can only be <7>
R9C8 can only be <7>
R9C3 can only be <8>
R9C7 can only be <4>
R1C8 can only be <8>
R1C5 can only be <7>
R3C8 can only be <9>
R3C5 can only be <8>
R4C9 can only be <4>
R4C7 can only be <7>
R9C9 can only be <3>

[Puzzle Code = Sudoku-20191023-Hard-033607]

 

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