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Daily Sudoku Answer 



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Sep 16 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R1C2 is the only square in row 1 that can be <7>

R1C7 is the only square in row 1 that can be <8>

R5C5 is the only square in row 5 that can be <7>

R4C1 is the only square in row 4 that can be <7>

R3C3 is the only square in column 3 that can be <2>

R7C3 is the only square in column 3 that can be <4>

R7C7 can only be <2>

R9C7 is the only square in column 7 that can be <3>

R8C2 is the only square in row 8 that can be <3>

R2C5 is the only square in row 2 that can be <3>

R1C3 is the only square in row 1 that can be <3>

Intersection of row 4 with block 5. The values <18> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R5C4 - removing <1> from <1259> leaving <259>

R5C6 - removing <1> from <1456> leaving <456>

Squares R2C1<158>, R3C1<15> and R8C1<18> in column 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <158>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C1 - removing <1> from <169> leaving <69>

Squares R6C1<69>, R6C4<59> and R6C5<569> in row 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <569>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C6 - removing <56> from <3456> leaving <34>

R6C9 - removing <5> from <345> leaving <34>

Intersection of row 6 with block 5. The value <5> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <5> from <259> leaving <29>

R5C6 - removing <5> from <456> leaving <46>

Squares R5C3 and R5C4 in row 5 and R9C3 and R9C4 in row 9 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 3 and 4 can be removed.

R6C4 - removing <9> from <59> leaving <5>

R1C4 can only be <1>

Squares R1C6 and R1C8 in row 1 and R9C6 and R9C8 in row 9 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 6 and 8 can be removed.

R2C8 - removing <5> from <125> leaving <12>

R5C8 - removing <5> from <245> leaving <24>

R8C8 - removing <5> from <145> leaving <14>

R5C7 is the only square in row 5 that can be <5>

R3C7 can only be <4>

Squares R2C8<12>, R5C8<24> and R8C8<14> in column 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <124>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C8 - removing <1> from <156> leaving <56>

Squares R7C5 (XY), R4C5 (XZ) and R9C4 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R4C4 - removing <8> from <28> leaving <2>

R8C5 - removing <8> from <158> leaving <15>

R4C9 can only be <3>

R5C4 can only be <9>

R4C6 can only be <1>

R6C9 can only be <4>

R5C3 can only be <1>

R9C4 can only be <8>

R6C5 can only be <6>

R6C1 can only be <9>

R3C5 can only be <5>

R5C6 can only be <4>

R6C6 can only be <3>

R5C8 can only be <2>

R3C1 can only be <1>

R8C5 can only be <1>

R1C6 can only be <6>

R4C5 can only be <8>

R9C6 can only be <5>

R5C2 can only be <6>

R9C3 can only be <9>

R2C8 can only be <1>

R7C1 can only be <6>

R7C9 can only be <1>

R9C2 can only be <1>

R7C5 can only be <9>

R3C9 can only be <6>

R8C9 can only be <5>

R8C8 can only be <4>

R8C1 can only be <8>

R2C9 can only be <2>

R9C8 can only be <6>

R2C2 can only be <8>

R1C8 can only be <5>

R2C1 can only be <5>



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