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Sudoku Solution Path

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R5C8 can only be <5>
R6C4 is the only square in row 6 that can be <5>
R6C7 is the only square in row 6 that can be <6>
R7C3 is the only square in row 7 that can be <5>
Squares R5C2<18>, R5C7<148> and R5C9<48> in row 5 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <148>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C1 - removing <18> from <1289> leaving <29>
   R5C3 - removing <18> from <12389> leaving <239>
   R5C5 - removing <14> from <1234> leaving <23>
R4C6 is the only square in block 5 that can be <4>
Squares R2C3 and R2C7 in row 2 and R4C3 and R4C7 in row 4 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 7 can be removed.
   R3C3 - removing <8> from <124678> leaving <12467>
   R3C7 - removing <8> from <235789> leaving <23579>
   R5C7 - removing <8> from <148> leaving <14>
Squares R6C3 (XY), R5C2 (XZ) and R2C3 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.
   R4C3 - removing <8> from <138> leaving <13>
   R3C2 - removing <8> from <148> leaving <14>
R4C7 is the only square in row 4 that can be <8>
R5C9 can only be <4>
R5C7 can only be <1>
R5C2 can only be <8>
R2C3 is the only square in row 2 that can be <8>
R3C9 is the only square in row 3 that can be <8>
R7C1 is the only square in row 7 that can be <8>
R7C9 is the only square in row 7 that can be <6>
R9C9 can only be <2>
R1C9 can only be <3>
R5C1 is the only square in column 1 that can be <9>
R8C3 is the only square in column 3 that can be <9>
Intersection of column 1 with block 1. The value <2> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R1C3 - removing <2> from <1267> leaving <167>
   R3C3 - removing <2> from <12467> leaving <1467>
Intersection of block 4 with column 3. The values <123> only appears in one or more of squares R4C3, R5C3 and R6C3 of block 4. These squares are the ones that intersect with column 3. Thus, the other (non-intersecting) squares of column 3 cannot contain these values.
   R1C3 - removing <1> from <167> leaving <67>
   R3C3 - removing <1> from <1467> leaving <467>
   R9C3 - removing <1> from <146> leaving <46>
Squares R1C1 and R1C5 in row 1 and R9C1 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 5 can be removed.
   R3C1 - removing <1> from <126> leaving <26>
   R3C5 - removing <1> from <12356> leaving <2356>
   R7C5 - removing <1> from <12347> leaving <2347>
Squares R2C5, R2C7, R3C5 and R3C7 form a Type-4 Unique Rectangle on <25>.
   R3C5 - removing <2> from <2356> leaving <356>
   R3C7 - removing <2> from <2579> leaving <579>
Squares R3C8, R7C8, R3C7 and R7C7 form a Type-4 Unique Rectangle on <79>.
   R3C7 - removing <7> from <579> leaving <59>
   R7C7 - removing <7> from <3479> leaving <349>
Squares R1C3 (XY), R3C1 (XZ) and R1C7 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.
   R1C1 - removing <2> from <126> leaving <16>
R3C1 is the only square in column 1 that can be <2>
R7C4 is the only square in column 4 that can be <2>
R6C6 is the only square in column 6 that can be <2>
R6C3 can only be <1>
R5C5 can only be <3>
R5C3 can only be <2>
R8C5 can only be <4>
R4C4 can only be <1>
R4C3 can only be <3>
R8C7 can only be <3>
R7C5 can only be <7>
R3C4 can only be <3>
R7C8 can only be <9>
R9C5 can only be <1>
R7C7 can only be <4>
R3C8 can only be <7>
R9C1 can only be <6>
R7C6 can only be <3>
R3C6 can only be <1>
R3C2 can only be <4>
R1C7 can only be <2>
R7C2 can only be <1>
R9C7 can only be <7>
R9C3 can only be <4>
R1C1 can only be <1>
R3C3 can only be <6>
R1C5 can only be <6>
R2C7 can only be <5>
R2C5 can only be <2>
R3C7 can only be <9>
R3C5 can only be <5>
R1C3 can only be <7>


 

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