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Sudoku Solution Path

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R1C5 can only be <3>
R4C4 can only be <3>
R4C6 can only be <5>
R5C1 can only be <6>
R5C4 can only be <8>
R5C9 can only be <4>
R6C4 can only be <9>
R6C5 can only be <6>
R6C6 can only be <4>
R9C5 can only be <8>
R1C8 can only be <6>
R4C5 can only be <7>
R1C3 can only be <4>
R5C5 can only be <2>
R5C6 can only be <1>
R9C3 can only be <6>
R2C2 is the only square in row 2 that can be <6>
R7C9 is the only square in row 7 that can be <6>
R9C8 is the only square in row 9 that can be <3>
Intersection of row 7 with block 7. The value <9> only appears in one or more of squares R7C1, R7C2 and R7C3 of row 7. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
   R8C1 - removing <9> from <289> leaving <28>
   R8C2 - removing <9> from <24579> leaving <2457>
Squares R1C7<29>, R2C9<39> and R3C9<23> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <239>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C7 - removing <9> from <589> leaving <58>
Squares R2C3<78>, R2C7<58> and R2C8<578> in row 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <578>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R2C1 - removing <8> from <389> leaving <39>
Squares R1C2 and R1C7 in row 1 and R9C2 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 2 and 7 can be removed.
   R3C2 - removing <2> from <27> leaving <7>
   R8C2 - removing <2> from <2457> leaving <457>
   R8C7 - removing <2> from <2589> leaving <589>
R3C8 can only be <8>
R2C3 can only be <8>
R7C8 can only be <4>
R2C7 can only be <5>
R7C2 can only be <9>
R8C8 can only be <5>
R8C2 can only be <4>
R2C8 can only be <7>
R9C7 can only be <2>
R9C2 can only be <5>
R1C7 can only be <9>
R8C9 can only be <9>
R1C2 can only be <2>
R8C7 can only be <8>
R2C9 can only be <3>
R8C3 can only be <7>
R2C1 can only be <9>
R3C9 can only be <2>
R3C1 can only be <3>
R7C1 can only be <8>
R8C1 can only be <2>


 

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