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Sudoku Solution Path

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R1C1 is the only square in row 1 that can be <3>
Intersection of row 2 with block 3. The value <9> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R1C7 - removing <9> from <259> leaving <25>
   R1C8 - removing <9> from <25679> leaving <2567>
   R1C9 - removing <9> from <125679> leaving <12567>
Intersection of block 6 with column 9. The value <5> only appears in one or more of squares R4C9, R5C9 and R6C9 of block 6. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain this value.
   R1C9 - removing <5> from <12567> leaving <1267>
   R3C9 - removing <5> from <12456> leaving <1246>
   R7C9 - removing <5> from <3579> leaving <379>
   R8C9 - removing <5> from <24579> leaving <2479>
   R9C9 - removing <5> from <23457> leaving <2347>
Squares R5C2<46>, R5C3<249>, R5C7<29> and R5C8<269> in row 5 form a comprehensive locked quad. These 4 squares can only contain the 4 possibilities <2469>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C4 - removing <69> from <369> leaving <3>
   R5C5 - removing <26> from <12367> leaving <137>
   R5C6 - removing <249> from <12479> leaving <17>
R9C4 can only be <5>
R9C9 is the only square in row 9 that can be <3>
R7C5 is the only square in row 7 that can be <3>
R4C6 is the only square in column 6 that can be <4>
Squares R9C6 and R9C8 in row 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R9C1 - removing <7> from <14678> leaving <1468>
   R9C2 - removing <7> from <1467> leaving <146>
   R9C7 - removing <2> from <248> leaving <48>
Squares R9C3 and R9C7 in row 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R9C1 - removing <48> from <1468> leaving <16>
   R9C2 - removing <4> from <146> leaving <16>
Squares R3C3 and R3C7 in row 3 and R7C3 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 7 can be removed.
   R1C3 - removing <5> from <258> leaving <28>
   R1C7 - removing <5> from <25> leaving <2>
R1C3 can only be <8>
R5C7 can only be <9>
R9C3 can only be <4>
R9C7 can only be <8>
R5C3 can only be <2>
R7C7 can only be <5>
R5C8 can only be <6>
R3C3 can only be <5>
R5C2 can only be <4>
R7C3 can only be <9>
R3C7 can only be <4>
R7C9 can only be <7>
R8C1 can only be <7>
R7C1 can only be <8>
R9C8 can only be <2>
R8C2 can only be <5>
R8C5 can only be <2>
R8C8 can only be <9>
R9C6 can only be <7>
R8C9 can only be <4>
R2C8 can only be <7>
R5C6 can only be <1>
R2C2 can only be <1>
R1C8 can only be <5>
R5C5 can only be <7>
R1C6 can only be <9>
R1C4 can only be <6>
R6C6 can only be <2>
R2C1 can only be <4>
R2C5 can only be <8>
R2C9 can only be <9>
R1C2 can only be <7>
R9C2 can only be <6>
R3C1 can only be <2>
R6C9 can only be <5>
R6C5 can only be <6>
R4C9 can only be <2>
R9C1 can only be <1>
R1C9 can only be <1>
R4C4 can only be <9>
R3C5 can only be <1>
R3C9 can only be <6>
R4C1 can only be <6>
R6C4 can only be <8>
R6C1 can only be <9>
R4C5 can only be <5>


 

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