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Sudoku Solution Path

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R5C6 can only be <1>
R3C7 is the only square in row 3 that can be <2>
R4C5 is the only square in row 4 that can be <4>
R6C3 is the only square in row 6 that can be <2>
R5C9 is the only square in row 5 that can be <2>
R8C7 is the only square in row 8 that can be <4>
R2C6 is the only square in row 2 that can be <4>
R9C1 is the only square in row 9 that can be <2>
R8C9 is the only square in column 9 that can be <9>
R7C4 is the only square in row 7 that can be <9>
R5C4 can only be <6>
R5C8 can only be <5>
R6C5 can only be <9>
R5C1 can only be <8>
R5C2 can only be <9>
R2C5 is the only square in row 2 that can be <6>
R4C7 is the only square in row 4 that can be <9>
R4C8 is the only square in row 4 that can be <7>
R6C2 is the only square in row 6 that can be <5>
R8C4 is the only square in column 4 that can be <1>
Squares R2C4 and R3C4 in block 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R3C6 - removing <7> from <357> leaving <35>
Intersection of row 2 with block 1. The value <3> 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.
   R1C1 - removing <3> from <135> leaving <15>
   R1C2 - removing <3> from <1347> leaving <147>
   R3C2 - removing <3> from <3478> leaving <478>
   R3C3 - removing <3> from <3578> leaving <578>
Intersection of column 1 with block 1. The value <1> 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.
   R1C2 - removing <1> from <147> leaving <47>
   R2C3 - removing <1> from <13578> leaving <3578>
Squares R1C9<157>, R2C7<17> and R2C9<157> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <157>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C8 - removing <1> from <134> leaving <34>
Squares R3C3 and R3C6 in row 3 and R7C3 and R7C6 in row 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 6 can be removed.
   R2C3 - removing <5> from <3578> leaving <378>
   R8C3 - removing <5> from <3578> leaving <378>
   R8C6 - removing <5> from <357> leaving <37>
Squares R1C2 and R1C9 in row 1 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 2 and 9 can be removed.
   R2C9 - removing <7> from <157> leaving <15>
   R3C2 - removing <7> from <478> leaving <48>
   R7C2 - removing <7> from <178> leaving <18>
Squares R6C7, R6C8, R7C7 and R7C8 form a Type-4 Unique Rectangle on <16>.
   R7C7 - removing <1> from <167> leaving <67>
   R7C8 - removing <1> from <168> leaving <68>
Intersection of row 7 with block 7. The value <1> 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.
   R9C2 - removing <1> from <1378> leaving <378>
Squares R3C2 (XY), R1C2 (XZ) and R3C4 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
   R3C3 - removing <7> from <578> leaving <58>
R3C4 is the only square in row 3 that can be <7>
R2C4 can only be <8>
Squares R8C6 (XY), R8C1 (XZ) and R7C6 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.
   R7C3 - removing <5> from <1578> leaving <178>
   R8C5 - removing <5> from <358> leaving <38>
R7C6 is the only square in row 7 that can be <5>
R3C6 can only be <3>
R3C8 can only be <4>
R8C6 can only be <7>
R1C5 can only be <5>
R3C2 can only be <8>
R1C8 can only be <3>
R1C1 can only be <1>
R3C3 can only be <5>
R7C2 can only be <1>
R4C2 can only be <3>
R1C9 can only be <7>
R2C1 can only be <3>
R1C2 can only be <4>
R9C9 can only be <1>
R2C7 can only be <1>
R2C3 can only be <7>
R8C1 can only be <5>
R7C3 can only be <8>
R2C9 can only be <5>
R6C7 can only be <6>
R4C3 can only be <1>
R9C2 can only be <7>
R6C8 can only be <1>
R7C7 can only be <7>
R9C8 can only be <8>
R7C8 can only be <6>
R8C3 can only be <3>
R8C5 can only be <8>
R9C5 can only be <3>

 

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