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Sudoku Solution Path

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Sudoku Puzzle © Kevin Stone

R1C1 can only be <7>
R2C8 can only be <4>
R5C5 can only be <6>
R7C3 can only be <2>
R2C2 can only be <2>
R3C7 can only be <1>
R7C7 can only be <5>
R1C9 can only be <6>
R1C5 can only be <4>
R3C3 can only be <4>
R7C5 can only be <9>
R4C7 can only be <4>
R2C4 can only be <9>
R5C2 is the only square in row 5 that can be <4>
R5C9 is the only square in row 5 that can be <8>
R4C2 is the only square in row 4 that can be <8>
R9C4 is the only square in row 9 that can be <4>
Squares R2C5 and R9C5 in column 5 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 column.
   R8C5 - removing <5> from <257> leaving <27>
Squares R5C8 and R8C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R4C8 - removing <3> from <356> leaving <56>
   R6C8 - removing <1> from <156> leaving <56>
Squares R7C4 and R7C6 in block 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C4 - removing <1> from <123> leaving <23>
   R8C6 - removing <1> from <1357> leaving <357>
   R9C6 - removing <1> from <1358> leaving <358>
Squares R2C5, R2C6, R9C5 and R9C6 form a Type-1 Unique Rectangle on <58>.
   R9C6 - removing <58> from <358> leaving <3>
R9C9 can only be <1>
R1C6 can only be <1>
R8C4 can only be <2>
R9C1 can only be <5>
R6C9 can only be <2>
R8C8 can only be <3>
R1C4 can only be <3>
R7C6 can only be <6>
R4C9 can only be <3>
R7C4 can only be <1>
R3C6 can only be <7>
R8C5 can only be <7>
R3C4 can only be <6>
R8C6 can only be <5>
R3C5 can only be <2>
R8C2 can only be <1>
R2C6 can only be <8>
R9C5 can only be <8>
R5C8 can only be <1>
R4C1 can only be <2>
R2C5 can only be <5>
R4C3 can only be <6>
R5C1 can only be <9>
R6C2 can only be <5>
R4C8 can only be <5>
R6C3 can only be <7>
R6C8 can only be <6>
R5C7 can only be <7>
R6C1 can only be <1>
R5C3 can only be <3>
R6C7 can only be <9>

 

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