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Common Answers

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Sudoku Solution Path

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R8C1 can only be <1>
R3C8 is the only square in row 3 that can be <2>
R3C9 is the only square in row 3 that can be <5>
R5C5 is the only square in row 5 that can be <2>
R8C3 is the only square in row 8 that can be <2>
Squares R9C2 and R9C3 in row 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R9C5 - removing <7> from <1378> leaving <138>
   R9C7 - removing <57> from <1578> leaving <18>
   R9C8 - removing <57> from <13578> leaving <138>
Squares R9C2 and R9C3 in block 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R7C2 - removing <57> from <4579> leaving <49>
Intersection of row 1 with block 1. The value <4> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R3C1 - removing <4> from <489> leaving <89>
   R3C2 - removing <4> from <46789> leaving <6789>
Intersection of block 5 with row 5. The value <4> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.
   R5C1 - removing <4> from <3489> leaving <389>
   R5C3 - removing <4> from <3459> leaving <359>
   R5C7 - removing <4> from <45789> leaving <5789>
R7C1 is the only square in column 1 that can be <4>
R7C2 can only be <9>
Squares R7C9<36>, R8C9<68>, R9C7<18> and R9C8<138> in block 9 form a comprehensive locked quad. These 4 squares can only contain the 4 possibilities <1368>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R7C8 - removing <13> from <1357> leaving <57>
   R8C7 - removing <68> from <5678> leaving <57>
Squares R8C6 and R8C7 in row 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R8C4 - removing <7> from <678> leaving <68>
Intersection of row 7 with block 8. The value <1> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
   R9C5 - removing <1> from <138> leaving <38>
Intersection of column 7 with block 3. The value <6> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R2C9 - removing <6> from <689> leaving <89>
Squares R5C6 and R7C6 in column 6 and R5C9 and R7C9 in column 9 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in rows 5 and 7 can be removed.
   R5C1 - removing <3> from <389> leaving <89>
   R5C3 - removing <3> from <359> leaving <59>
   R7C5 - removing <3> from <1367> leaving <167>
R2C1 is the only square in column 1 that can be <3>
Squares R1C3, R1C5 and R1C7 in row 1, R4C3, R4C5 and R4C7 in row 4 and R6C3, R6C5 and R6C7 in row 6 form a Swordfish pattern on possibility <9>. All other instances of this possibility in columns 3, 5 and 7 can be removed.
   R2C3 - removing <9> from <679> leaving <67>
   R2C7 - removing <9> from <1689> leaving <168>
   R3C5 - removing <9> from <6789> leaving <678>
   R5C3 - removing <9> from <59> leaving <5>
   R5C7 - removing <9> from <5789> leaving <578>
R9C3 can only be <7>
R9C2 can only be <5>
R2C3 can only be <6>
R4C2 is the only square in row 4 that can be <6>
R3C2 is the only square in column 2 that can be <7>
R3C6 can only be <4>
R5C4 is the only square in row 5 that can be <4>
R1C7 is the only square in column 7 that can be <6>
R2C9 is the only square in block 3 that can be <9>
R5C1 is the only square in row 5 that can be <9>
R3C1 can only be <8>
R3C5 can only be <6>
R1C2 can only be <4>
R3C4 can only be <9>
R1C3 can only be <9>
R6C2 can only be <8>
Squares R2C7 and R9C7 in column 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C7 - removing <8> from <78> leaving <7>
R5C6 can only be <3>
R8C7 can only be <5>
R4C8 can only be <3>
R8C6 can only be <7>
R7C8 can only be <7>
R4C3 can only be <4>
R6C8 can only be <5>
R5C9 can only be <8>
R6C5 can only be <9>
R8C9 can only be <6>
R6C7 can only be <4>
R4C5 can only be <7>
R6C3 can only be <3>
R4C7 can only be <9>
R7C4 can only be <6>
R7C5 can only be <1>
R2C6 can only be <1>
R8C4 can only be <8>
R7C9 can only be <3>
R2C7 can only be <8>
R7C6 can only be <5>
R1C5 can only be <8>
R2C4 can only be <7>
R9C7 can only be <1>
R1C8 can only be <1>
R9C5 can only be <3>
R9C8 can only be <8>


 

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