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Sudoku Solution Path

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R4C2 can only be <6>
R4C9 is the only square in row 4 that can be <8>
R7C1 is the only square in row 7 that can be <6>
R3C9 is the only square in row 3 that can be <6>
R8C2 is the only square in row 8 that can be <4>
Squares R5C4 and R5C6 in row 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C2 - removing <2> from <237> leaving <37>
   R5C8 - removing <5> from <13579> leaving <1379>
R6C2 is the only square in column 2 that can be <2>
R4C8 is the only square in column 8 that can be <5>
Squares R3C5 and R8C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C5 - removing <8> from <258> leaving <25>
   R7C5 - removing <3> from <235> leaving <25>
Squares R7C8, R7C9 and R9C9 in block 9 form a simple locked triplet. These 3 squares all contain the 3 possibilities <237>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C7 - removing <37> from <13789> leaving <189>
   R8C8 - removing <37> from <1379> leaving <19>
   R9C7 - removing <37> from <1378> leaving <18>
Intersection of row 6 with block 6. The value <3> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
   R5C7 - removing <3> from <1379> leaving <179>
   R5C8 - removing <3> from <1379> leaving <179>
R1C7 is the only square in column 7 that can be <3>
R3C5 is the only square in row 3 that can be <3>
R8C5 can only be <8>
R3C2 is the only square in row 3 that can be <8>
R2C6 is the only square in row 2 that can be <8>
R9C7 is the only square in row 9 that can be <8>
Squares R8C7 and R8C8 in row 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R8C3 - removing <1> from <137> leaving <37>
Squares R2C5 and R7C5 in column 5 and R2C8 and R7C8 in column 8 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 2 and 7 can be removed.
   R2C4 - removing <2> from <2456> leaving <456>
   R7C9 - removing <2> from <237> leaving <37>
Squares R2C2 and R7C2 in column 2 and R2C5 and R7C5 in column 5 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 2 and 7 can be removed.
   R2C4 - removing <5> from <456> leaving <46>
Squares R2C3, R2C7 and R2C8 in row 2, R5C3, R5C7 and R5C8 in row 5 and R8C7 and R8C8 in row 8 form a Swordfish pattern on possibility <9>. All other instances of this possibility in columns 3, 7 and 8 can be removed.
   R1C3 - removing <9> from <69> leaving <6>
   R6C8 - removing <9> from <1379> leaving <137>
R2C4 is the only square in row 2 that can be <6>
R8C4 can only be <7>
R8C3 can only be <3>
R8C6 can only be <6>
R2C8 is the only square in row 2 that can be <4>
R3C8 can only be <7>
R3C1 can only be <4>
R2C7 can only be <9>
R2C3 can only be <7>
R8C7 can only be <1>
R1C9 can only be <2>
R8C8 can only be <9>
R5C7 can only be <7>
R5C8 can only be <1>
R1C6 can only be <5>
R2C2 can only be <5>
R9C3 can only be <1>
R5C2 can only be <3>
R5C3 can only be <9>
R6C8 can only be <3>
R6C9 can only be <9>
R7C8 can only be <2>
R6C5 can only be <1>
R7C5 can only be <5>
R1C1 can only be <9>
R1C4 can only be <4>
R5C6 can only be <2>
R2C5 can only be <2>
R7C2 can only be <7>
R4C1 can only be <1>
R5C4 can only be <5>
R9C6 can only be <3>
R6C1 can only be <7>
R4C5 can only be <9>
R7C9 can only be <3>
R9C1 can only be <5>
R9C4 can only be <2>
R9C9 can only be <7>


 

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