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Sudoku Solution Path

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R1C6 can only be <9>
R4C1 can only be <6>
R4C9 can only be <5>
R5C6 can only be <1>
R4C5 can only be <3>
R2C2 is the only square in row 2 that can be <1>
R3C5 is the only square in row 3 that can be <6>
R5C1 is the only square in row 5 that can be <2>
R5C7 is the only square in row 5 that can be <6>
R9C6 is the only square in row 9 that can be <6>
R8C6 can only be <3>
R2C6 can only be <2>
R9C4 can only be <7>
R9C5 can only be <2>
R2C4 is the only square in column 4 that can be <3>
Squares R5C9 and R6C9 in column 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C9 - removing <78> from <478> leaving <4>
   R3C9 - removing <8> from <2348> leaving <234>
   R7C9 - removing <7> from <1237> leaving <123>
   R8C9 - removing <78> from <178> leaving <1>
R7C5 is the only square in row 7 that can be <1>
Squares R8C4 and R8C5 in row 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R8C1 - removing <49> from <4789> leaving <78>
   R8C2 - removing <9> from <689> leaving <68>
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.
   R2C5 - removing <5> from <58> leaving <8>
Squares R1C4 and R1C5 in row 1 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 row.
   R1C3 - removing <4> from <478> leaving <78>
Squares R1C7<78>, R2C8<57> and R3C8<58> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <578>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R3C7 - removing <8> from <238> leaving <23>
Squares R2C1 and R2C8 in row 2 and R8C1 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 1 and 8 can be removed.
   R7C1 - removing <7> from <479> leaving <49>
   R7C8 - removing <7> from <67> leaving <6>
R7C2 can only be <9>
R7C1 can only be <4>
R3C2 can only be <8>
R3C8 can only be <5>
R8C2 can only be <6>
R1C3 can only be <7>
R2C8 can only be <7>
R3C1 can only be <9>
R1C7 can only be <8>
R7C3 can only be <3>
R2C1 can only be <5>
R9C7 can only be <3>
R8C8 can only be <8>
R3C3 can only be <4>
R6C1 can only be <8>
R6C9 can only be <7>
R8C1 can only be <7>
R5C3 can only be <9>
R6C5 can only be <9>
R5C9 can only be <8>
R7C9 can only be <2>
R9C3 can only be <8>
R7C7 can only be <7>
R3C9 can only be <3>
R3C7 can only be <2>
R5C4 can only be <5>
R5C5 can only be <7>
R1C4 can only be <4>
R8C5 can only be <4>
R8C4 can only be <9>
R1C5 can only be <5>


 

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