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Sudoku Solution Path

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R1C1 is the only square in row 1 that can be <5>
R3C8 is the only square in row 3 that can be <8>
R6C3 is the only square in row 6 that can be <3>
R9C5 is the only square in column 5 that can be <4>
R3C2 is the only square in column 2 that can be <4>
Squares R5C9 and R6C7 in block 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R4C7 - removing <2> from <245> leaving <45>
   R5C7 - removing <12> from <1245> leaving <45>
Intersection of row 2 with block 1. The value <7> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R3C3 - removing <7> from <1267> leaving <126>
Intersection of block 8 with row 7. The values <257> only appears in one or more of squares R7C4, R7C5 and R7C6 of block 8. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain these values.
   R7C2 - removing <2> from <236> leaving <36>
   R7C3 - removing <27> from <2679> leaving <69>
   R7C7 - removing <2> from <12369> leaving <1369>
   R7C8 - removing <2> from <126> leaving <16>
Squares R1C2 and R9C2 in column 2 and R1C8 and R9C8 in column 8 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 1 and 9 can be removed.
   R9C1 - removing <2> from <267> leaving <67>
   R1C9 - removing <2> from <129> leaving <19>
   R9C9 - removing <2> from <237> leaving <37>
Squares R2C1 and R9C1 in column 1 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 column.
   R5C1 - removing <6> from <246> leaving <24>
   R8C1 - removing <7> from <247> leaving <24>
R5C3 is the only square in row 5 that can be <6>
R7C3 can only be <9>
Squares R5C1 and R8C1 in column 1 and R5C9 and R8C9 in column 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 5 and 8 can be removed.
   R8C3 - removing <2> from <247> leaving <47>
   R5C4 - removing <2> from <127> leaving <17>
   R5C5 - removing <2> from <12579> leaving <1579>
   R8C7 - removing <2> from <29> leaving <9>
R7C4 is the only square in column 4 that can be <2>
R1C9 is the only square in column 9 that can be <9>
Squares R1C5 and R1C8 in row 1, R6C5 and R6C7 in row 6 and R7C7 and R7C8 in row 7 form a Swordfish pattern on possibility <1>. All other instances of this possibility in columns 5, 7 and 8 can be removed.
   R2C7 - removing <1> from <136> leaving <36>
   R3C5 - removing <1> from <1679> leaving <679>
   R3C7 - removing <1> from <126> leaving <26>
   R5C5 - removing <1> from <1579> leaving <579>
Squares R1C2 (XY), R3C3 (XZ) and R1C5 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
   R3C4 - removing <1> from <17> leaving <7>
R3C6 can only be <9>
R5C4 can only be <1>
R3C5 can only be <6>
R5C9 can only be <2>
R6C5 can only be <2>
R5C1 can only be <4>
R8C9 can only be <7>
R6C7 can only be <1>
R4C5 can only be <5>
R8C3 can only be <4>
R9C9 can only be <3>
R2C9 can only be <1>
R7C7 can only be <6>
R2C3 can only be <7>
R3C7 can only be <2>
R1C5 can only be <1>
R3C3 can only be <1>
R1C8 can only be <6>
R4C7 can only be <4>
R7C5 can only be <7>
R5C6 can only be <7>
R4C3 can only be <2>
R5C7 can only be <5>
R8C1 can only be <2>
R5C5 can only be <9>
R7C6 can only be <5>
R7C2 can only be <3>
R7C8 can only be <1>
R2C7 can only be <3>
R9C8 can only be <2>
R9C2 can only be <6>
R9C1 can only be <7>
R1C2 can only be <2>
R2C1 can only be <6>

 

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