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Sudoku Solution Path

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R3C8 can only be <5>
R1C1 is the only square in row 1 that can be <2>
R1C8 is the only square in row 1 that can be <3>
R3C7 is the only square in row 3 that can be <2>
R4C5 is the only square in row 4 that can be <8>
R5C2 is the only square in row 5 that can be <8>
R7C3 is the only square in column 3 that can be <7>
R9C5 is the only square in column 5 that can be <6>
R1C5 is the only square in column 5 that can be <9>
R2C9 is the only square in column 9 that can be <8>
Squares R5C5 and R6C5 in block 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R5C4 - removing <45> from <2457> leaving <27>
   R5C6 - removing <45> from <2457> leaving <27>
Squares R5C4 and R5C6 in row 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C7 - removing <7> from <4579> leaving <459>
   R5C8 - removing <7> from <679> leaving <69>
R9C8 is the only square in column 8 that can be <7>
Intersection of row 1 with block 2. The value <5> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R2C4 - removing <5> from <4567> leaving <467>
   R2C6 - removing <5> from <457> leaving <47>
Squares R2C6 and R2C7 in row 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 row.
   R2C1 - removing <4> from <4569> leaving <569>
   R2C3 - removing <4> from <4569> leaving <569>
   R2C4 - removing <47> from <467> leaving <6>
Intersection of column 2 with block 7. The value <9> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. 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 <9> from <369> leaving <36>
   R8C3 - removing <9> from <1369> leaving <136>
   R9C1 - removing <9> from <349> leaving <34>
Squares R8C1<36>, R8C3<136> and R8C9<16> in row 8 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <136>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R8C4 - removing <3> from <238> leaving <28>
   R8C7 - removing <13> from <139> leaving <9>
R7C8 can only be <6>
R5C8 can only be <9>
R8C9 can only be <1>
R9C9 can only be <5>
R7C7 can only be <3>
R4C7 is the only square in row 4 that can be <1>
R5C3 is the only square in row 5 that can be <6>
R8C3 can only be <3>
R8C1 can only be <6>
R9C1 can only be <4>
R9C4 can only be <3>
R9C6 can only be <9>
R4C1 can only be <5>
R7C2 can only be <9>
R9C2 can only be <1>
R4C3 can only be <4>
R2C1 can only be <9>
R4C9 can only be <6>
R3C3 can only be <1>
R6C3 can only be <9>
R6C1 can only be <3>
R2C3 can only be <5>
R1C2 can only be <4>
R1C9 can only be <7>
R3C2 can only be <6>
R1C4 can only be <5>
R6C9 can only be <4>
R2C7 can only be <4>
R2C6 can only be <7>
R5C7 can only be <5>
R5C5 can only be <4>
R6C7 can only be <7>
R6C5 can only be <5>
R1C6 can only be <1>
R7C4 can only be <4>
R5C6 can only be <2>
R5C4 can only be <7>
R8C6 can only be <8>
R7C6 can only be <5>
R3C4 can only be <8>
R8C4 can only be <2>
R3C6 can only be <4>

 

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