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Sudoku Solution Path

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R5C5 can only be <6>
R5C3 can only be <3>
R5C7 can only be <7>
R3C6 is the only square in row 3 that can be <7>
R1C1 is the only square in row 1 that can be <7>
R4C9 is the only square in row 4 that can be <3>
R7C6 is the only square in row 7 that can be <8>
R8C5 is the only square in row 8 that can be <3>
R9C5 is the only square in row 9 that can be <7>
R9C1 is the only square in row 9 that can be <8>
R1C5 is the only square in column 5 that can be <1>
R3C7 is the only square in row 3 that can be <1>
R2C5 is the only square in column 5 that can be <4>
R4C1 is the only square in column 1 that can be <4>
R1C9 is the only square in column 9 that can be <4>
Intersection of row 2 with block 2. The value <2> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R3C4 - removing <2> from <256> leaving <56>
Intersection of column 2 with block 1. The value <2> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. 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 <2569> leaving <569>
   R3C3 - removing <2> from <2456> leaving <456>
Squares R4C7<68>, R6C7<689> and R7C7<69> in column 7 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <689>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C7 - removing <69> from <2569> leaving <25>
   R9C7 - removing <6> from <256> leaving <25>
Squares R4C3<26>, R6C3<126> and R9C3<16> in column 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <126>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C3 - removing <6> from <569> leaving <59>
   R3C3 - removing <6> from <456> leaving <45>
   R7C3 - removing <16> from <1469> leaving <49>
R7C4 is the only square in row 7 that can be <1>
Squares R8C4 and R8C6 in row 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R8C1 - removing <6> from <169> leaving <19>
   R8C9 - removing <6> from <169> leaving <19>
Squares R2C1 and R2C9 in row 2 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 1 and 9 can be removed.
   R6C9 - removing <9> from <69> leaving <6>
R6C1 can only be <1>
R4C7 can only be <8>
R4C5 can only be <2>
R6C7 can only be <9>
R6C3 can only be <2>
R8C1 can only be <9>
R6C5 can only be <8>
R4C3 can only be <6>
R7C7 can only be <6>
R8C9 can only be <1>
R2C1 can only be <6>
R7C3 can only be <4>
R9C9 can only be <5>
R9C7 can only be <2>
R2C9 can only be <9>
R2C6 can only be <2>
R1C2 can only be <2>
R2C4 can only be <5>
R8C6 can only be <6>
R9C3 can only be <1>
R7C2 can only be <3>
R3C3 can only be <5>
R8C4 can only be <2>
R9C8 can only be <3>
R1C7 can only be <5>
R9C2 can only be <6>
R7C8 can only be <9>
R1C8 can only be <6>
R3C2 can only be <4>
R1C3 can only be <9>
R3C8 can only be <2>
R3C4 can only be <6>


 

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