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Sudoku Solution Path

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R1C5 can only be <5>
R4C4 can only be <7>
R4C6 can only be <4>
R6C4 can only be <5>
R6C6 can only be <3>
R7C7 can only be <6>
R2C5 can only be <7>
R6C5 can only be <6>
R5C4 can only be <9>
R4C5 can only be <2>
R5C6 can only be <8>
R5C5 can only be <1>
Squares R5C2 and R7C2 in column 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C2 - removing <4> from <1245> leaving <125>
   R8C2 - removing <4> from <346> leaving <36>
   R9C2 - removing <47> from <2347> leaving <23>
Intersection of row 7 with block 7. The value <4> 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.
   R8C1 - removing <4> from <489> leaving <89>
   R8C3 - removing <4> from <4689> leaving <689>
   R9C1 - removing <4> from <2478> leaving <278>
Squares R2C7<135>, R2C9<13> and R3C7<15> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <135>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C8 - removing <35> from <2359> leaving <29>
   R3C8 - removing <5> from <568> leaving <68>
R8C8 is the only square in column 8 that can be <5>
Squares R3C3 and R3C8 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R3C2 - removing <6> from <156> leaving <15>
Squares R1C9 and R3C8 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C8 - removing <68> from <2689> leaving <29>
Squares R1C2<26>, R8C2<36> and R9C2<23> in column 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <236>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C2 - removing <2> from <125> leaving <15>
Squares R3C3 and R3C8 in row 3 and R7C3 and R7C8 in row 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 8 can be removed.
   R8C3 - removing <8> from <689> leaving <69>
   R9C8 - removing <8> from <378> leaving <37>
Squares R3C2, R3C7, R2C2 and R2C7 form a Type-1 Unique Rectangle on <15>.
   R2C7 - removing <15> from <135> leaving <3>
R2C9 can only be <1>
R8C7 can only be <1>
R2C2 can only be <5>
R3C7 can only be <5>
R3C2 can only be <1>
Squares R8C5, R9C5, R8C9 and R9C9 form a Type-2 Unique Rectangle on <48>.
   R5C9 - removing <3> from <36> leaving <6>
   R9C8 - removing <3> from <37> leaving <7>
R5C8 can only be <3>
R1C9 can only be <8>
R7C8 can only be <8>
R3C8 can only be <6>
R3C3 can only be <8>
R7C3 can only be <4>
R7C2 can only be <7>
R2C3 can only be <9>
R2C8 can only be <2>
R8C3 can only be <6>
R1C1 can only be <2>
R2C1 can only be <4>
R1C8 can only be <9>
R5C2 can only be <4>
R8C2 can only be <3>
R1C2 can only be <6>
R9C1 can only be <8>
R5C1 can only be <7>
R8C9 can only be <4>
R9C2 can only be <2>
R8C5 can only be <8>
R9C9 can only be <3>
R9C5 can only be <4>
R8C1 can only be <9>


 

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