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Sudoku Solution Path

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R1C3 can only be <3>
R3C3 can only be <7>
R4C2 can only be <2>
R5C3 can only be <8>
R1C2 is the only square in row 1 that can be <5>
R2C1 is the only square in row 2 that can be <2>
R3C9 is the only square in row 3 that can be <5>
R7C7 is the only square in row 7 that can be <1>
R8C1 is the only square in row 8 that can be <8>
Squares R7C1 and R7C9 in row 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R7C5 - removing <7> from <279> leaving <29>
Squares R1C7 and R3C7 in column 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C7 - removing <4> from <234> leaving <23>
   R9C7 - removing <4> from <234> leaving <23>
Squares R1C7 and R3C7 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C8 - removing <4> from <14> leaving <1>
   R2C9 - removing <6> from <367> leaving <37>
Intersection of column 4 with block 5. The value <4> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
   R4C5 - removing <4> from <4689> leaving <689>
   R5C5 - removing <4> from <1247> leaving <127>
Intersection of block 8 with column 5. The value <9> only appears in one or more of squares R7C5, R8C5 and R9C5 of block 8. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.
   R4C5 - removing <9> from <689> leaving <68>
Squares R1C5, R1C7, R3C5 and R3C7 form a Type-1 Unique Rectangle on <46>.
   R3C5 - removing <46> from <146> leaving <1>
R3C1 can only be <6>
R2C4 can only be <9>
R2C6 can only be <6>
R4C4 can only be <4>
R2C2 can only be <1>
R4C6 can only be <9>
R1C5 can only be <4>
R3C7 can only be <4>
R7C1 can only be <7>
R1C7 can only be <6>
R4C8 can only be <8>
R4C5 can only be <6>
R7C9 can only be <6>
R5C1 can only be <1>
R9C2 can only be <4>
R8C2 can only be <6>
R6C2 can only be <7>
R6C6 can only be <3>
R6C8 can only be <2>
R6C4 can only be <1>
R6C5 can only be <8>
R5C7 can only be <3>
R5C9 can only be <4>
R9C7 can only be <2>
R8C9 can only be <7>
R8C6 can only be <5>
R8C8 can only be <4>
R2C9 can only be <3>
R9C8 can only be <3>
R9C3 can only be <9>
R2C8 can only be <7>
R8C4 can only be <2>
R5C6 can only be <7>
R9C5 can only be <7>
R7C3 can only be <2>
R5C5 can only be <2>
R5C4 can only be <5>
R7C5 can only be <9>


 

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