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Daily Sudoku Answer 



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Jul 27 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C6 can only be <9>

R5C3 can only be <3>

R4C4 can only be <3>

R2C6 can only be <2>

R5C2 can only be <7>

R4C2 can only be <8>

R2C4 can only be <9>

R6C6 can only be <7>

R8C6 can only be <1>

R4C8 can only be <4>

R6C4 can only be <2>

R6C2 can only be <6>

R6C8 can only be <3>

R5C5 can only be <1>

R8C4 can only be <5>

Squares R1C9 and R9C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C9 - removing <4> from <346> leaving <36>

R8C9 - removing <49> from <3469> leaving <36>

Squares R5C8<29>, R7C8<259> and R9C8<259> in column 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <259>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C8 - removing <9> from <89> leaving <8>

R3C8 - removing <9> from <1689> leaving <168>

R8C8 - removing <29> from <2679> leaving <67>

R1C1 can only be <2>

R9C1 can only be <5>

R2C2 is the only square in row 2 that can be <5>

R7C8 is the only square in row 7 that can be <5>

Squares R3C7<39>, R5C7<29> and R7C7<239> in column 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <239>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C7 - removing <3> from <347> leaving <47>

R8C7 - removing <239> from <23479> leaving <47>

Squares R2C1<38>, R2C5<68> and R2C9<36> in row 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <368>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C3 - removing <8> from <148> leaving <14>

R2C8 - removing <6> from <167> leaving <17>

Squares R3C2 and R3C7 in row 3 and R7C2 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 2 and 7 can be removed.

R8C2 - removing <3> from <2349> leaving <249>

Squares R1C2<49>, R8C2<249> and R9C2<249> in column 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <249>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C2 - removing <9> from <139> leaving <13>

R7C2 - removing <29> from <1239> leaving <13>

Squares R1C2 and R1C9 in row 1 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 2 and 9 can be removed.

R8C2 - removing <4> from <249> leaving <29>

Squares R8C2 and R8C5 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C3 - removing <9> from <489> leaving <48>

Squares R2C3 (XY), R7C3 (XZ) and R1C2 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.

R8C2 - removing <9> from <29> leaving <2>

R9C2 - removing <9> from <249> leaving <24>

R3C3 - removing <9> from <189> leaving <18>

R8C5 can only be <9>

R9C2 can only be <4>

R7C5 can only be <2>

R9C9 can only be <9>

R1C2 can only be <9>

R8C3 can only be <8>

R9C8 can only be <2>

R1C9 can only be <4>

R2C7 can only be <7>

R2C8 can only be <1>

R8C7 can only be <4>

R2C3 can only be <4>

R3C8 can only be <6>

R3C5 can only be <8>

R8C8 can only be <7>

R2C9 can only be <3>

R7C7 can only be <3>

R7C2 can only be <1>

R3C7 can only be <9>

R8C9 can only be <6>

R8C1 can only be <3>

R3C3 can only be <1>

R5C8 can only be <9>

R2C1 can only be <8>

R3C2 can only be <3>

R7C3 can only be <9>

R2C5 can only be <6>

R5C7 can only be <2>



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