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Sudoku Solution Path

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R2C9 is the only square in row 2 that can be <9>
R3C4 is the only square in row 3 that can be <7>
R6C4 is the only square in row 6 that can be <9>
R7C1 is the only square in row 7 that can be <8>
R8C9 is the only square in row 8 that can be <8>
R9C2 is the only square in row 9 that can be <9>
R8C5 is the only square in row 8 that can be <9>
R8C4 is the only square in column 4 that can be <6>
R5C4 is the only square in column 4 that can be <1>
R4C6 can only be <3>
R5C5 can only be <5>
R5C6 can only be <8>
R2C5 can only be <3>
R2C6 is the only square in column 6 that can be <4>
R1C9 is the only square in column 9 that can be <4>
Squares R2C3 and R2C4 in row 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R2C1 - removing <5> from <1256> leaving <126>
   R2C2 - removing <5> from <1256> leaving <126>
   R2C8 - removing <5> from <1256> leaving <126>
Intersection of column 2 with block 1. The values <26> 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 these values.
   R2C1 - removing <26> from <126> leaving <1>
Intersection of column 7 with block 9. The value <1> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
   R7C8 - removing <1> from <137> leaving <37>
   R8C8 - removing <1> from <1347> leaving <347>
   R9C8 - removing <1> from <1467> leaving <467>
Intersection of column 9 with block 6. The values <67> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
   R4C8 - removing <6> from <126> leaving <12>
   R5C7 - removing <6> from <236> leaving <23>
Squares R5C3<37>, R6C1<35> and R6C2<357> in block 4 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <357>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R5C1 - removing <3> from <236> leaving <26>
Squares R1C3<358>, R2C3<58> and R3C2<35> in block 1 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <358>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C2 - removing <35> from <2356> leaving <26>
Squares R2C2, R2C8, R1C2 and R1C8 form a Type-1 Unique Rectangle on <26>.
   R1C8 - removing <26> from <2356> leaving <35>
Squares R1C8<35>, R3C8<135> and R3C9<13> 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.
   R1C7 - removing <3> from <236> leaving <26>
Squares R2C3, R2C4, R1C3 and R1C4 form a Type-1 Unique Rectangle on <58>.
   R1C3 - removing <58> from <358> leaving <3>
R1C8 can only be <5>
R5C3 can only be <7>
R3C2 can only be <5>
R1C4 can only be <8>
R2C3 can only be <8>
R9C3 can only be <5>
R6C2 can only be <3>
R6C1 can only be <5>
R6C9 can only be <7>
R9C1 can only be <4>
R2C4 can only be <5>
R8C1 can only be <3>
R8C7 can only be <1>
R8C2 can only be <7>
R9C7 can only be <6>
R9C8 can only be <7>
R1C7 can only be <2>
R9C6 can only be <1>
R7C8 can only be <3>
R8C8 can only be <4>
R1C2 can only be <6>
R5C7 can only be <3>
R2C8 can only be <6>
R2C2 can only be <2>
R5C9 can only be <6>
R5C1 can only be <2>
R4C9 can only be <1>
R3C8 can only be <1>
R8C6 can only be <5>
R7C2 can only be <1>
R7C6 can only be <7>
R3C9 can only be <3>
R4C8 can only be <2>
R4C1 can only be <6>


 

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