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Sudoku Solution Path

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R3C3 can only be <4>
R3C7 can only be <3>
R2C6 is the only square in row 2 that can be <2>
R6C8 is the only square in row 6 that can be <2>
R8C2 is the only square in row 8 that can be <2>
R9C2 is the only square in column 2 that can be <3>
Squares R5C6 and R6C6 in column 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R4C6 - removing <7> from <578> leaving <58>
   R8C6 - removing <1> from <158> leaving <58>
Squares R5C6 and R6C6 in block 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R6C5 - removing <1> from <13> leaving <3>
R6C4 can only be <6>
R2C4 is the only square in row 2 that can be <3>
R5C2 is the only square in row 5 that can be <6>
Squares R1C5 and R2C5 in column 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 column.
   R4C5 - removing <45> from <4589> leaving <89>
   R8C5 - removing <5> from <1589> leaving <189>
Intersection of column 7 with block 9. The value <9> 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 <9> from <1479> leaving <147>
   R8C8 - removing <9> from <134679> leaving <13467>
   R9C8 - removing <9> from <19> leaving <1>
R9C5 can only be <9>
R4C5 can only be <8>
R8C4 can only be <5>
R4C6 can only be <5>
R8C5 can only be <1>
R8C6 can only be <8>
Squares R7C7<479>, R7C8<47> and R8C7<479> in block 9 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <479>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C8 - removing <47> from <3467> leaving <36>
   R8C9 - removing <7> from <367> leaving <36>
Squares R1C2 and R1C8 in row 1 and R4C2 and R4C8 in row 4 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 2 and 8 can be removed.
   R2C2 - removing <7> from <15789> leaving <1589>
   R2C8 - removing <7> from <45678> leaving <4568>
   R5C8 - removing <7> from <379> leaving <39>
   R6C2 - removing <7> from <17> leaving <1>
   R7C2 - removing <7> from <1479> leaving <149>
   R7C8 - removing <7> from <47> leaving <4>
R6C6 can only be <7>
R5C6 can only be <1>
R7C2 can only be <9>
R7C7 can only be <7>
R8C3 can only be <7>
R7C3 can only be <1>
R2C7 can only be <4>
R8C7 can only be <9>
R8C1 can only be <4>
R2C5 can only be <5>
R2C3 can only be <9>
R5C1 can only be <7>
R2C2 can only be <8>
R1C5 can only be <4>
R5C9 can only be <3>
R2C1 can only be <1>
R4C2 can only be <4>
R5C8 can only be <9>
R8C9 can only be <6>
R8C8 can only be <3>
R2C9 can only be <7>
R2C8 can only be <6>
R3C2 can only be <5>
R1C8 can only be <5>
R3C8 can only be <8>
R1C2 can only be <7>
R4C4 can only be <9>
R4C8 can only be <7>
R5C4 can only be <4>


 

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