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Sudoku Solution Path

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R1C5 can only be <5>
R5C4 can only be <1>
R9C5 can only be <8>
R3C6 can only be <1>
R3C4 can only be <4>
R4C4 can only be <8>
R9C1 can only be <2>
R7C4 can only be <5>
R7C6 can only be <7>
R6C4 can only be <9>
R4C6 can only be <3>
R6C6 can only be <5>
R5C6 can only be <2>
R4C7 is the only square in row 4 that can be <1>
R9C7 can only be <4>
R5C1 is the only square in row 5 that can be <3>
R6C5 is the only square in row 6 that can be <4>
R7C3 is the only square in row 7 that can be <4>
Squares R4C3 and R6C3 in column 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C3 - removing <6> from <136> leaving <13>
   R3C3 - removing <6> from <23568> leaving <2358>
   R8C3 - removing <6> from <1568> leaving <158>
Squares R7C7<2368>, R7C8<36>, R7C9<26> and R8C7<68> in block 9 form a comprehensive locked quad. These 4 squares can only contain the 4 possibilities <2368>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C8 - removing <6> from <156> leaving <15>
Squares R2C8 and R8C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R3C8 - removing <5> from <356> leaving <36>
Squares R1C3 and R1C9 in row 1 and R9C3 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 3 and 9 can be removed.
   R2C3 - removing <1> from <125> leaving <25>
   R8C3 - removing <1> from <158> leaving <58>
Squares R2C8 and R9C3 form a remote locked pair. <15> can be removed from any square that is common to their groups.
   R2C3 - removing <5> from <25> leaving <2>
R2C7 can only be <9>
R1C1 is the only square in row 1 that can be <9>
R7C2 is the only square in row 7 that can be <9>
Squares R1C7 and R3C8 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C9 - removing <6> from <16> leaving <1>
   R3C7 - removing <36> from <2367> leaving <27>
   R3C9 - removing <6> from <2567> leaving <257>
R1C3 can only be <3>
R9C9 can only be <5>
R2C8 can only be <5>
R2C2 can only be <1>
R8C8 can only be <1>
R9C3 can only be <1>
R1C7 can only be <6>
R6C7 can only be <7>
R8C7 can only be <8>
R3C8 can only be <3>
R7C8 can only be <6>
R6C3 can only be <6>
R3C7 can only be <2>
R5C9 can only be <6>
R7C1 can only be <8>
R7C9 can only be <2>
R3C9 can only be <7>
R8C3 can only be <5>
R7C7 can only be <3>
R5C5 can only be <7>
R4C3 can only be <7>
R3C1 can only be <6>
R8C2 can only be <6>
R3C3 can only be <8>
R3C2 can only be <5>
R4C5 can only be <6>


 

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