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Sudoku Solution Path

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R1C6 is the only square in row 1 that can be <3>
R3C4 is the only square in row 3 that can be <2>
R1C9 is the only square in row 1 that can be <2>
R4C7 is the only square in row 4 that can be <6>
R5C3 is the only square in row 5 that can be <7>
R6C8 is the only square in row 6 that can be <2>
R9C4 is the only square in row 9 that can be <7>
R1C7 is the only square in row 1 that can be <7>
R2C5 is the only square in row 2 that can be <7>
R9C1 is the only square in column 1 that can be <5>
R1C3 is the only square in column 3 that can be <6>
R6C7 is the only square in column 7 that can be <5>
R6C2 is the only square in row 6 that can be <4>
R5C8 is the only square in column 8 that can be <4>
Squares R1C4 and R7C4 in column 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C4 - removing <8> from <689> leaving <69>
   R8C4 - removing <18> from <1689> leaving <69>
Squares R4C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R3C5 - removing <89> from <1589> leaving <15>
   R7C5 - removing <8> from <1358> leaving <135>
   R8C5 - removing <89> from <1389> leaving <13>
Intersection of row 5 with block 6. The value <9> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
   R4C8 - removing <9> from <389> leaving <38>
Squares R2C4 and R8C4 in column 4 and R2C8 and R8C8 in column 8 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in rows 2 and 8 can be removed.
   R2C6 - removing <9> from <5689> leaving <568>
   R8C6 - removing <9> from <689> leaving <68>
Squares R6C3, R6C5, R4C3 and R4C5 form a Type-1 Unique Rectangle on <89>.
   R4C3 - removing <89> from <3589> leaving <35>
R4C5 is the only square in row 4 that can be <9>
R6C5 can only be <8>
R6C3 can only be <9>
Squares R2C2, R2C6 and R2C8 in row 2, R4C2 and R4C8 in row 4 and R8C2, R8C6 and R8C8 in row 8 form a Swordfish pattern on possibility <8>. All other instances of this possibility in columns 2, 6 and 8 can be removed.
   R3C6 - removing <8> from <589> leaving <59>
   R5C2 - removing <8> from <138> leaving <13>
   R7C6 - removing <8> from <458> leaving <45>
   R9C6 - removing <8> from <489> leaving <49>
Squares R3C6<59>, R7C6<45> and R9C6<49> in column 6 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <459>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C6 - removing <5> from <568> leaving <68>
R2C2 is the only square in row 2 that can be <5>
R4C3 is the only square in row 4 that can be <5>
Intersection of column 3 with block 7. The value <3> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
   R8C2 - removing <3> from <138> leaving <18>
Squares R3C3 and R7C4 form a remote locked pair. <18> can be removed from any square that is common to their groups.
   R7C3 - removing <18> from <138> leaving <3>
R9C3 can only be <8>
R9C9 can only be <9>
R3C3 can only be <1>
R8C2 can only be <1>
R9C6 can only be <4>
R5C9 can only be <8>
R3C5 can only be <5>
R1C1 can only be <8>
R3C6 can only be <9>
R7C5 can only be <1>
R3C7 can only be <8>
R2C4 can only be <6>
R7C7 can only be <4>
R2C8 can only be <9>
R5C1 can only be <1>
R4C8 can only be <3>
R7C4 can only be <8>
R8C5 can only be <3>
R7C6 can only be <5>
R9C7 can only be <3>
R5C2 can only be <3>
R8C8 can only be <8>
R8C6 can only be <6>
R5C7 can only be <9>
R1C4 can only be <1>
R2C6 can only be <8>
R8C4 can only be <9>
R4C2 can only be <8>


 

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