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Sudoku Solution Path

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R3C8 is the only square in row 3 that can be <1>
R5C5 is the only square in row 5 that can be <8>
R2C5 can only be <5>
R8C5 can only be <3>
R2C2 can only be <8>
R6C7 is the only square in row 6 that can be <1>
R9C9 is the only square in row 9 that can be <3>
R9C1 is the only square in row 9 that can be <7>
R8C8 is the only square in row 8 that can be <7>
R8C1 is the only square in column 1 that can be <8>
R5C7 is the only square in column 7 that can be <3>
R5C8 is the only square in column 8 that can be <2>
R4C1 is the only square in row 4 that can be <2>
Squares R7C7 and R7C8 in row 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 row.
   R7C1 - removing <6> from <569> leaving <59>
   R7C2 - removing <6> from <1569> leaving <159>
   R7C4 - removing <6> from <2569> leaving <259>
   R7C6 - removing <6> from <1269> leaving <129>
R9C2 is the only square in block 7 that can be <6>
Squares R8C4 and R8C6 in block 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R7C4 - removing <9> from <259> leaving <25>
   R7C6 - removing <9> from <129> leaving <12>
Intersection of block 6 with column 9. The values <49> only appears in one or more of squares R4C9, R5C9 and R6C9 of block 6. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain these values.
   R1C9 - removing <4> from <456> leaving <56>
   R2C9 - removing <4> from <247> leaving <27>
R2C4 is the only square in row 2 that can be <4>
Squares R1C7<46>, R1C8<456> and R1C9<56> in row 1 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <456>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R1C1 - removing <5> from <359> leaving <39>
Intersection of row 1 with block 3. The values <456> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.
   R3C9 - removing <5> from <257> leaving <27>
Squares R2C6, R2C9, R3C6 and R3C9 form a Type-1 Unique Rectangle on <27>.
   R3C6 - removing <27> from <2379> leaving <39>
R3C9 is the only square in row 3 that can be <7>
R2C9 can only be <2>
R2C6 can only be <7>
R3C4 is the only square in row 3 that can be <2>
R7C4 can only be <5>
R7C1 can only be <9>
R9C4 can only be <8>
R9C6 can only be <1>
R9C3 can only be <5>
R7C6 can only be <2>
R7C2 can only be <1>
R1C1 can only be <3>
R5C1 can only be <6>
R5C2 can only be <9>
R3C3 can only be <9>
R4C3 can only be <4>
R1C4 can only be <9>
R1C6 can only be <8>
R8C4 can only be <6>
R3C6 can only be <3>
R3C2 can only be <5>
R4C6 can only be <6>
R5C3 can only be <1>
R4C9 can only be <5>
R8C6 can only be <9>
R6C4 can only be <3>
R4C2 can only be <3>
R1C9 can only be <6>
R6C8 can only be <6>
R6C1 can only be <5>
R5C9 can only be <4>
R6C9 can only be <9>
R7C8 can only be <4>
R7C7 can only be <6>
R1C8 can only be <5>
R1C7 can only be <4>

 

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