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Sudoku Solution Path

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R6C4 can only be <5>
R8C2 can only be <1>
R6C6 can only be <6>
R6C9 can only be <7>
R6C1 can only be <1>
R1C5 is the only square in row 1 that can be <1>
R1C4 is the only square in row 1 that can be <2>
R1C9 is the only square in row 1 that can be <6>
R4C1 is the only square in row 4 that can be <4>
R4C9 is the only square in row 4 that can be <2>
R5C5 is the only square in row 5 that can be <7>
R9C9 is the only square in row 9 that can be <1>
Squares R7C5<35>, R9C4<39> and R9C6<359> in block 8 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <359>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C5 - removing <39> from <3469> leaving <46>
   R9C5 - removing <359> from <34569> leaving <46>
Intersection of row 8 with block 9. The value <9> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
   R9C7 - removing <9> from <389> leaving <38>
   R9C8 - removing <9> from <3459> leaving <345>
Intersection of column 5 with block 2. The value <9> only appears in one or more of squares R1C5, R2C5 and R3C5 of column 5. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R1C6 - removing <9> from <359> leaving <35>
Squares R7C1<38>, R8C1<36> and R9C3<368> in block 7 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <368>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R9C1 - removing <368> from <23678> leaving <27>
   R9C2 - removing <8> from <278> leaving <27>
Squares R3C1 and R3C9 in row 3 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 9 can be removed.
   R1C1 - removing <8> from <35789> leaving <3579>
   R5C1 - removing <8> from <268> leaving <26>
Squares R1C3 and R9C3 in column 3, R4C4 and R9C4 in column 4 and R1C6, R4C6 and R9C6 in column 6 form a Swordfish pattern on possibility <3>. All other instances of this possibility in rows 1, 4 and 9 can be removed.
   R1C1 - removing <3> from <3579> leaving <579>
   R1C7 - removing <3> from <389> leaving <89>
   R9C7 - removing <3> from <38> leaving <8>
   R1C8 - removing <3> from <3479> leaving <479>
   R9C8 - removing <3> from <345> leaving <45>
R1C7 can only be <9>
R5C7 can only be <3>
R7C1 is the only square in row 7 that can be <8>
R3C9 is the only square in row 3 that can be <8>
Intersection of block 3 with row 2. The value <3> only appears in one or more of squares R2C7, R2C8 and R2C9 of block 3. These squares are the ones that intersect with row 2. Thus, the other (non-intersecting) squares of row 2 cannot contain this value.
   R2C1 - removing <3> from <3579> leaving <579>
   R2C5 - removing <3> from <359> leaving <59>
Squares R2C2<47>, R2C8<347> and R2C9<34> in row 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <347>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R2C1 - removing <7> from <579> leaving <59>
Squares R4C4, R4C6, R9C4 and R9C6 form a Type-1 Unique Rectangle on <39>.
   R9C6 - removing <39> from <359> leaving <5>
R9C8 can only be <4>
R1C6 can only be <3>
R7C5 can only be <3>
R9C5 can only be <6>
R1C8 can only be <7>
R1C3 can only be <8>
R4C6 can only be <9>
R3C5 can only be <9>
R1C1 can only be <5>
R2C8 can only be <3>
R2C9 can only be <4>
R8C8 can only be <9>
R2C2 can only be <7>
R3C1 can only be <3>
R2C5 can only be <5>
R4C4 can only be <3>
R7C9 can only be <5>
R9C4 can only be <9>
R5C9 can only be <9>
R8C9 can only be <3>
R5C8 can only be <5>
R8C1 can only be <6>
R9C3 can only be <3>
R8C5 can only be <4>
R2C1 can only be <9>
R1C2 can only be <4>
R5C3 can only be <6>
R9C2 can only be <2>
R5C1 can only be <2>
R9C1 can only be <7>
R5C2 can only be <8>


 

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