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Sudoku Solution Path

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R7C1 is the only square in row 7 that can be <7>
Intersection of row 2 with block 3. The value <4> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R1C7 - removing <4> from <2457> leaving <257>
   R1C8 - removing <4> from <247> leaving <27>
Intersection of column 4 with block 8. The values <36> only appears in one or more of squares R7C4, R8C4 and R9C4 of column 4. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
   R7C5 - removing <6> from <268> leaving <28>
   R8C5 - removing <6> from <25689> leaving <2589>
Squares R7C5 and R7C6 in row 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R7C3 - removing <8> from <1368> leaving <136>
   R7C7 - removing <28> from <12468> leaving <146>
   R7C9 - removing <28> from <248> leaving <4>
R6C9 can only be <9>
R4C9 can only be <5>
R2C8 is the only square in row 2 that can be <4>
Squares R7C5 and R7C6 in block 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C5 - removing <28> from <2589> leaving <59>
   R9C6 - removing <8> from <89> leaving <9>
R9C8 can only be <1>
R8C5 can only be <5>
R7C7 can only be <6>
R7C4 can only be <3>
R9C7 can only be <8>
R8C1 can only be <6>
R8C9 can only be <2>
R7C3 can only be <1>
R9C4 can only be <6>
R8C2 can only be <8>
R8C8 can only be <9>
R2C9 can only be <3>
R3C9 can only be <8>
R2C5 is the only square in row 2 that can be <2>
R7C5 can only be <8>
R3C6 can only be <7>
R1C6 can only be <4>
R7C6 can only be <2>
R6C5 can only be <6>
R5C6 can only be <8>
R6C3 can only be <8>
R3C3 is the only square in row 3 that can be <3>
R9C3 can only be <5>
R9C2 can only be <3>
R5C3 can only be <9>
R5C4 can only be <4>
R5C5 can only be <7>
R4C3 can only be <6>
R4C1 can only be <4>
R5C8 can only be <2>
R4C5 can only be <9>
R5C7 can only be <1>
R1C8 can only be <7>
R4C7 can only be <7>
R6C1 can only be <1>
R1C3 can only be <2>
R3C5 can only be <1>
R5C2 can only be <5>
R6C7 can only be <4>
R2C1 can only be <5>
R1C7 can only be <5>
R1C2 can only be <6>
R1C4 can only be <9>
R3C7 can only be <2>
R2C2 can only be <1>
R3C1 can only be <9>
R3C4 can only be <5>


 

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