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Sudoku Solution Path

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R2C5 can only be <1>
R5C2 can only be <3>
R5C8 can only be <5>
R6C7 can only be <4>
R5C1 can only be <9>
R7C7 is the only square in row 7 that can be <8>
Squares R4C3 and R4C5 in row 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R4C4 - removing <5> from <256> leaving <26>
   R4C6 - removing <5> from <156> leaving <16>
Squares R4C3 and R6C3 in column 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C3 - removing <7> from <1237> leaving <123>
   R3C3 - removing <7> from <137> leaving <13>
   R7C3 - removing <5> from <2359> leaving <239>
   R9C3 - removing <5> from <1359> leaving <139>
Squares R6C6 and R7C6 in column 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R3C6 - removing <5> from <568> leaving <68>
Intersection of block 2 with row 3. The value <6> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.
   R3C1 - removing <6> from <3678> leaving <378>
   R3C7 - removing <6> from <136> leaving <13>
   R3C9 - removing <6> from <1567> leaving <157>
Squares R3C3 and R3C7 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R3C1 - removing <3> from <378> leaving <78>
   R3C9 - removing <1> from <157> leaving <57>
Intersection of block 9 with row 9. The values <37> only appears in one or more of squares R9C7, R9C8 and R9C9 of block 9. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain these values.
   R9C1 - removing <3> from <356> leaving <56>
   R9C3 - removing <3> from <139> leaving <19>
   R9C5 - removing <3> from <3459> leaving <459>
Squares R1C2<16>, R1C3<123>, R2C1<26> and R3C3<13> in block 1 form a comprehensive locked quad. These 4 squares can only contain the 4 possibilities <1236>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C1 - removing <236> from <23678> leaving <78>
Intersection of column 1 with block 7. The values <35> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
   R7C3 - removing <3> from <239> leaving <29>
Squares R2C1 and R2C9 in row 2 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 1 and 9 can be removed.
   R1C9 - removing <6> from <12567> leaving <1257>
   R9C1 - removing <6> from <56> leaving <5>
   R9C9 - removing <6> from <4679> leaving <479>
Squares R4C3, R4C5, R6C3 and R6C5 form a Type-1 Unique Rectangle on <57>.
   R6C5 - removing <57> from <3579> leaving <39>
R6C3 is the only square in row 6 that can be <7>
R4C3 can only be <5>
R4C5 can only be <7>
R1C5 is the only square in column 5 that can be <5>
R3C4 can only be <6>
R3C6 can only be <8>
R4C4 can only be <2>
R3C1 can only be <7>
R5C6 can only be <1>
R4C7 can only be <1>
R5C4 can only be <4>
R4C6 can only be <6>
R3C7 can only be <3>
R5C9 can only be <2>
R5C5 can only be <8>
R2C9 can only be <6>
R2C1 can only be <2>
R8C9 can only be <9>
R3C9 can only be <5>
R1C1 can only be <8>
R3C3 can only be <1>
R1C7 can only be <2>
R9C7 can only be <6>
R1C8 can only be <7>
R8C5 can only be <3>
R7C9 can only be <4>
R9C2 can only be <1>
R1C9 can only be <1>
R9C8 can only be <3>
R1C2 can only be <6>
R1C3 can only be <3>
R7C1 can only be <3>
R9C3 can only be <9>
R7C4 can only be <5>
R8C1 can only be <6>
R7C6 can only be <9>
R6C4 can only be <3>
R7C3 can only be <2>
R6C6 can only be <5>
R9C5 can only be <4>
R9C9 can only be <7>
R6C5 can only be <9>

 

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