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Sudoku Solution Path

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Copyright © Kevin Stone

R6C3 can only be <6>
R7C4 can only be <1>
R4C3 can only be <2>
R9C3 can only be <7>
R7C6 can only be <6>
R7C1 can only be <3>
R7C9 can only be <9>
R1C3 can only be <3>
R3C1 can only be <4>
R3C9 is the only square in row 3 that can be <3>
R8C9 is the only square in row 8 that can be <7>
R9C2 is the only square in row 9 that can be <4>
R1C7 is the only square in column 7 that can be <7>
R2C2 is the only square in column 2 that can be <7>
R1C2 is the only square in column 2 that can be <8>
Squares R1C1 and R2C1 in column 1 form a simple locked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C1 - removing <9> from <159> leaving <15>
Squares R3C4 and R3C6 in block 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C4 - removing <8> from <248> leaving <24>
   R2C6 - removing <8> from <2489> leaving <249>
Squares R1C8 and R1C9 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C8 - removing <4> from <468> leaving <68>
   R2C9 - removing <4> from <468> leaving <68>
R1C9 is the only square in column 9 that can be <4>
R1C8 can only be <1>
Intersection of row 5 with block 5. The values <29> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
   R4C5 - removing <9> from <69> leaving <6>
   R4C6 - removing <9> from <1479> leaving <147>
   R6C5 - removing <9> from <589> leaving <58>
   R6C6 - removing <9> from <1489> leaving <148>
R5C9 is the only square in row 5 that can be <6>
R2C9 can only be <8>
R2C8 can only be <6>
R9C9 can only be <1>
R9C7 can only be <6>
R9C1 can only be <5>
R5C1 can only be <1>
R8C2 can only be <1>
R8C1 can only be <6>
R4C2 can only be <9>
R4C7 can only be <1>
R6C2 can only be <5>
R6C7 can only be <9>
R6C5 can only be <8>
R9C5 can only be <2>
R9C8 can only be <8>
R1C5 can only be <9>
R8C6 can only be <8>
R8C8 can only be <2>
R1C1 can only be <2>
R5C5 can only be <5>
R5C4 can only be <2>
R8C4 can only be <5>
R3C6 can only be <7>
R2C1 can only be <9>
R3C4 can only be <8>
R4C6 can only be <4>
R4C8 can only be <3>
R2C6 can only be <2>
R6C6 can only be <1>
R6C4 can only be <3>
R4C4 can only be <7>
R6C8 can only be <4>
R5C6 can only be <9>
R2C4 can only be <4>

[Puzzle Code = Sudoku-20190212-Hard-197130]

 

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