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Sudoku Solution Path

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Puzzle Copyright © Kevin Stone

R1C4 can only be <2>
R2C5 can only be <3>
R2C6 can only be <8>
R3C2 can only be <2>
R3C6 can only be <6>
R8C5 can only be <7>
R5C5 can only be <5>
R1C7 is the only square in row 1 that can be <6>
R9C1 is the only square in row 9 that can be <3>
R8C4 is the only square in row 8 that can be <3>
R8C2 is the only square in column 2 that can be <1>
R4C2 is the only square in column 2 that can be <3>
R1C2 is the only square in column 2 that can be <8>
R6C8 is the only square in column 8 that can be <8>
R6C7 is the only square in row 6 that can be <3>
R3C7 can only be <5>
R3C8 can only be <3>
R1C9 can only be <7>
R1C1 can only be <5>
R8C8 is the only square in row 8 that can be <5>
Squares R6C1 and R6C6 in row 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R6C3 - removing <79> from <2579> leaving <25>
   R6C4 - removing <9> from <19> leaving <1>
   R6C9 - removing <9> from <1259> leaving <125>
Intersection of column 1 with block 4. The value <7> only appears in one or more of squares R4C1, R5C1 and R6C1 of column 1. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
   R4C3 - removing <7> from <5789> leaving <589>
   R5C2 - removing <7> from <679> leaving <69>
   R5C3 - removing <7> from <2679> leaving <269>
Intersection of row 5 with block 6. The value <7> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
   R4C7 - removing <7> from <179> leaving <19>
R5C7 is the only square in column 7 that can be <7>
R5C8 can only be <2>
R6C9 can only be <5>
R6C3 can only be <2>
R2C9 is the only square in row 2 that can be <2>
R4C3 is the only square in row 4 that can be <5>
R4C1 is the only square in row 4 that can be <8>
R8C1 can only be <9>
R8C7 can only be <4>
R6C1 can only be <7>
R8C3 can only be <8>
R2C7 can only be <1>
R7C8 can only be <7>
R2C8 can only be <4>
R4C7 can only be <9>
R4C4 can only be <4>
R4C9 can only be <1>
R9C9 can only be <9>
R6C6 can only be <9>
R9C6 can only be <4>
R7C2 can only be <6>
R9C8 can only be <1>
R9C3 can only be <7>
R4C6 can only be <7>
R7C4 can only be <9>
R7C3 can only be <4>
R5C2 can only be <9>
R2C3 can only be <9>
R2C2 can only be <7>
R5C3 can only be <6>

[Puzzle Code = Sudoku-20200603-Hard-035622]

 

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