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Sudoku Solution Path

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Copyright © Kevin Stone

R4C1 can only be <6>
R5C8 can only be <6>
R6C9 can only be <2>
R5C7 can only be <1>
R4C9 can only be <5>
R5C2 is the only square in row 5 that can be <8>
R6C6 is the only square in row 6 that can be <7>
R8C8 is the only square in row 8 that can be <5>
Squares R6C1<39>, R7C1<139> and R8C1<139> in column 1 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <139>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C1 - removing <19> from <12589> leaving <258>
   R2C1 - removing <19> from <1289> leaving <28>
   R9C1 - removing <139> from <12379> leaving <27>
R2C5 is the only square in row 2 that can be <1>
R1C3 is the only square in row 1 that can be <1>
R2C9 is the only square in row 2 that can be <3>
R3C5 is the only square in column 5 that can be <2>
Squares R1C4 and R1C6 in row 1 form a simple locked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R1C7 - removing <4> from <456> leaving <56>
   R1C9 - removing <4> from <4689> leaving <689>
Intersection of column 5 with block 8. The value <4> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
   R9C4 - removing <4> from <1349> leaving <139>
   R9C6 - removing <4> from <134> leaving <13>
Intersection of block 8 with row 9. The value <1> only appears in one or more of squares R9C4, R9C5 and R9C6 of block 8. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain this value.
   R9C9 - removing <1> from <14689> leaving <4689>
Intersection of block 1 with column 2. The value <9> only appears in one or more of squares R1C2, R2C2 and R3C2 of block 1. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.
   R8C2 - removing <9> from <49> leaving <4>
   R9C2 - removing <9> from <2469> leaving <246>
R7C5 is the only square in column 5 that can be <4>
Squares R1C7<56>, R3C7<456> and R3C9<46> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <456>. 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 <689> leaving <89>
Squares R6C1 and R8C5 form a remote locked pair. <39> can be removed from any square that is common to their groups.
   R8C1 - removing <39> from <139> leaving <1>
R8C9 can only be <9>
R8C5 can only be <3>
R1C9 can only be <8>
R9C8 can only be <8>
R5C5 can only be <9>
R9C6 can only be <1>
R9C4 can only be <9>
R4C6 can only be <4>
R4C4 can only be <1>
R1C6 can only be <3>
R5C3 can only be <3>
R6C4 can only be <3>
R6C1 can only be <9>
R1C4 can only be <4>
R7C1 can only be <3>
R7C7 can only be <6>
R7C3 can only be <9>
R7C9 can only be <1>
R1C7 can only be <5>
R9C9 can only be <4>
R9C7 can only be <3>
R3C9 can only be <6>
R1C1 can only be <2>
R3C7 can only be <4>
R3C3 can only be <7>
R1C8 can only be <9>
R2C1 can only be <8>
R9C1 can only be <7>
R2C2 can only be <9>
R1C2 can only be <6>
R2C8 can only be <2>
R3C1 can only be <5>
R9C3 can only be <6>
R9C2 can only be <2>

 

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