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Sudoku Solution Path

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R7C7 can only be <6>
R7C2 can only be <5>
R5C8 is the only square in row 5 that can be <3>
R6C8 is the only square in row 6 that can be <9>
R8C7 is the only square in row 8 that can be <8>
R8C3 is the only square in row 8 that can be <9>
R9C7 is the only square in row 9 that can be <9>
R1C2 is the only square in column 2 that can be <3>
R1C5 is the only square in row 1 that can be <8>
R3C1 is the only square in row 3 that can be <8>
R4C2 is the only square in row 4 that can be <8>
R4C1 is the only square in row 4 that can be <2>
R2C3 is the only square in row 2 that can be <2>
R9C3 can only be <6>
R9C2 can only be <2>
R8C1 can only be <4>
R1C8 is the only square in row 1 that can be <6>
R3C5 is the only square in row 3 that can be <6>
R2C1 is the only square in row 2 that can be <6>
R6C1 can only be <5>
R5C2 is the only square in row 5 that can be <6>
R6C2 can only be <7>
R6C6 can only be <4>
R6C9 can only be <6>
R5C3 can only be <4>
R1C7 is the only square in row 1 that can be <4>
R4C8 is the only square in row 4 that can be <4>
R8C5 is the only square in row 8 that can be <2>
R8C4 is the only square in row 8 that can be <6>
Squares R4C4 and R9C4 in column 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C4 - removing <57> from <3457> leaving <34>
Intersection of column 6 with block 2. The values <15> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
   R2C5 - removing <15> from <1457> leaving <47>
Intersection of block 3 with row 2. The value <5> only appears in one or more of squares R2C7, R2C8 and R2C9 of block 3. These squares are the ones that intersect with row 2. Thus, the other (non-intersecting) squares of row 2 cannot contain this value.
   R2C6 - removing <5> from <1357> leaving <137>
Squares R1C3, R1C6, R3C3 and R3C6 form a Type-1 Unique Rectangle on <57>.
   R3C6 - removing <57> from <157> leaving <1>
R3C8 can only be <7>
R3C3 can only be <5>
R9C8 can only be <1>
R2C7 can only be <5>
R7C9 can only be <3>
R2C9 can only be <1>
R5C7 can only be <7>
R1C3 can only be <7>
R5C5 can only be <5>
R4C9 can only be <5>
R7C4 can only be <4>
R8C9 can only be <7>
R8C6 can only be <3>
R1C6 can only be <5>
R4C4 can only be <7>
R9C5 can only be <7>
R7C5 can only be <1>
R2C4 can only be <3>
R2C6 can only be <7>
R9C4 can only be <5>
R2C5 can only be <4>


 

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