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Daily Sudoku Answer 



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Aug 31 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s014472



Reasoning 



R8C8 can only be <6>

R3C8 is the only square in row 3 that can be <5>

R4C6 is the only square in row 4 that can be <4>

R6C4 is the only square in row 6 that can be <2>

R6C6 is the only square in row 6 that can be <5>

R9C3 is the only square in row 9 that can be <5>

R7C2 is the only square in column 2 that can be <6>

Intersection of column 2 with block 1. The value <3> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C1 - removing <3> from <234> leaving <24>

R1C3 - removing <3> from <348> leaving <48>

R2C3 - removing <3> from <379> leaving <79>

R3C1 - removing <3> from <1347> leaving <147>

R3C3 - removing <3> from <134789> leaving <14789>

Squares R2C2 and R2C7 in row 2 and R8C2 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 2 and 7 can be removed.

R1C7 - removing <2> from <2346> leaving <346>

R7C7 - removing <2> from <123789> leaving <13789>

Squares R2C3 and R2C7 in row 2 and R8C3 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 3 and 7 can be removed.

R3C3 - removing <7> from <14789> leaving <1489>

R3C7 - removing <7> from <34679> leaving <3469>

R7C3 - removing <7> from <1347> leaving <134>

R7C7 - removing <7> from <13789> leaving <1389>

R9C7 - removing <7> from <1378> leaving <138>

Squares R1C7<346>, R3C7<3469>, R4C7<169>, R6C7<16>, R7C7<1389> and R9C7<138> in column 7 form a comprehensive naked set. These 6 squares can only contain the 6 possibilities <134689>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C7 - removing <39> from <2379> leaving <27>

R8C7 - removing <1> from <127> leaving <27>

Intersection of row 8 with block 7. The value <1> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C1 - removing <1> from <12347> leaving <2347>

R7C3 - removing <1> from <134> leaving <34>

R9C1 - removing <1> from <137> leaving <37>

Squares R9C1 (XY), R5C1 (XZ) and R9C9 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R5C9 - removing <1> from <169> leaving <69>

Intersection of column 9 with block 9. The value <1> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C7 - removing <1> from <1389> leaving <389>

R9C7 - removing <1> from <138> leaving <38>

Squares R7C7<389>, R7C8<39> and R9C7<38> in block 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <389>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C9 - removing <9> from <1279> leaving <127>

Squares R9C1 (XY), R5C1 (XZ) and R8C3 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R4C3 - removing <1> from <16> leaving <6>

R6C3 - removing <1> from <136> leaving <36>

R6C3 can only be <3>

R7C3 can only be <4>

R5C1 can only be <1>

R1C3 can only be <8>

Squares R5C5 (XYZ), R5C6 (XZ) and R1C5 (YZ) form an XYZ-Wing pattern on <6>. All squares that are buddies of all three squares cannot be <6>.

R6C5 - removing <6> from <16> leaving <1>

R6C7 can only be <6>

R4C5 can only be <8>

R5C9 can only be <9>

R4C4 can only be <9>

R9C5 can only be <7>

R5C4 can only be <3>

R4C7 can only be <1>

R9C1 can only be <3>

R9C9 can only be <1>

R7C6 can only be <8>

R5C5 can only be <6>

R3C4 can only be <8>

R5C6 can only be <7>

R1C5 can only be <3>

R7C4 can only be <1>

R3C6 can only be <6>

R9C7 can only be <8>

R1C7 can only be <4>

R1C1 can only be <2>

R3C9 can only be <7>

R3C1 can only be <4>

R7C9 can only be <2>

R2C7 can only be <2>

R7C1 can only be <7>

R1C9 can only be <6>

R8C7 can only be <7>

R8C3 can only be <1>

R2C2 can only be <3>

R2C8 can only be <9>

R3C2 can only be <1>

R2C3 can only be <7>

R7C8 can only be <3>

R3C7 can only be <3>

R3C3 can only be <9>

R8C2 can only be <2>

R7C7 can only be <9>



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