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Sudoku Solution Path

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R1C5 can only be <7>
R3C2 is the only square in row 3 that can be <6>
R4C2 is the only square in row 4 that can be <3>
R7C3 is the only square in row 7 that can be <8>
R3C8 is the only square in row 3 that can be <8>
R2C1 is the only square in column 1 that can be <8>
R2C2 is the only square in row 2 that can be <7>
R8C1 is the only square in column 1 that can be <4>
R1C2 is the only square in column 2 that can be <4>
R8C9 is the only square in column 9 that can be <6>
Intersection of column 1 with block 4. The values <157> 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 these values.
   R6C2 - removing <15> from <1259> leaving <29>
Squares R1C6<58>, R2C6<15> and R8C6<18> in column 6 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <158>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R4C6 - removing <1> from <167> leaving <67>
   R6C6 - removing <1> from <147> leaving <47>
   R9C6 - removing <1> from <146> leaving <46>
Squares R4C4<126>, R6C4<12> and R9C4<16> in column 4 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <126>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C4 - removing <1> from <139> leaving <39>
   R8C4 - removing <12> from <1238> leaving <38>
R7C5 is the only square in block 8 that can be <2>
R7C2 can only be <5>
R7C7 can only be <4>
R7C8 can only be <3>
R8C4 is the only square in row 8 that can be <3>
R2C4 can only be <9>
R1C4 can only be <8>
R1C6 can only be <5>
R1C8 can only be <9>
R2C6 can only be <1>
R8C8 can only be <7>
R9C8 can only be <5>
R2C7 can only be <5>
R8C6 can only be <8>
R3C5 can only be <3>
R2C3 can only be <3>
R3C7 can only be <1>
R3C3 can only be <5>
R8C7 can only be <9>
R8C3 can only be <2>
R5C7 can only be <7>
R5C1 can only be <1>
R8C2 can only be <1>
R5C3 can only be <9>
R5C5 can only be <4>
R6C2 can only be <2>
R5C9 can only be <2>
R9C5 can only be <1>
R6C6 can only be <7>
R2C9 can only be <4>
R4C9 can only be <5>
R4C8 can only be <1>
R6C4 can only be <1>
R6C8 can only be <4>
R9C4 can only be <6>
R6C1 can only be <5>
R4C6 can only be <6>
R2C8 can only be <2>
R9C2 can only be <9>
R9C6 can only be <4>
R4C4 can only be <2>
R4C1 can only be <7>
R6C9 can only be <9>


 

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