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Daily Sudoku Answer 



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Aug 24 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s024662



Reasoning 



R4C1 can only be <8>

R5C2 can only be <6>

R7C2 can only be <8>

R6C1 can only be <2>

R5C1 can only be <9>

R3C2 can only be <1>

R4C4 is the only square in row 4 that can be <3>

R5C9 is the only square in row 5 that can be <5>

R8C3 is the only square in row 8 that can be <3>

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

R8C7 is the only square in row 8 that can be <8>

R8C4 is the only square in row 8 that can be <9>

R9C7 is the only square in row 9 that can be <5>

Squares R8C5 and R8C6 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C4 - removing <4> from <12456> leaving <1256>

R7C5 - removing <47> from <12467> leaving <126>

R7C6 - removing <47> from <124567> leaving <1256>

R9C5 - removing <47> from <2467> leaving <26>

Intersection of column 7 with block 3. The values <12> 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 these values.

R1C9 - removing <1> from <138> leaving <38>

Squares R1C1<36>, R1C3<68> and R1C9<38> in row 1 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.

R1C5 - removing <68> from <1268> leaving <12>

Intersection of row 1 with block 1. The value <6> 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 <6> from <367> leaving <37>

R3C3 - removing <6> from <6789> leaving <789>

Squares R1C5<12>, R7C5<126> and R9C5<26> in column 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <126>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C5 - removing <26> from <2468> leaving <48>

R5C5 - removing <2> from <2478> leaving <478>

Intersection of column 5 with block 8. The value <6> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C4 - removing <6> from <1256> leaving <125>

R7C6 - removing <6> from <1256> leaving <125>

Squares R2C4<14>, R2C6<148> and R3C5<48> in block 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <148>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C5 - removing <1> from <12> leaving <2>

R3C4 - removing <4> from <2456> leaving <256>

R3C6 - removing <48> from <24568> leaving <256>

R1C7 can only be <1>

R9C5 can only be <6>

R7C5 can only be <1>

R3C7 is the only square in row 3 that can be <2>

R9C3 is the only square in row 9 that can be <2>

Squares R3C5 and R5C5 in column 5 and R3C8 and R5C8 in column 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in rows 3 and 5 can be removed.

R3C3 - removing <8> from <789> leaving <79>

R5C6 - removing <8> from <2478> leaving <247>

R3C9 - removing <8> from <3489> leaving <349>

Squares R8C5, R8C6, R5C5 and R5C6 form a Type-4 Unique Rectangle on <47>.

R5C5 - removing <4> from <478> leaving <78>

R5C6 - removing <4> from <247> leaving <27>

Squares R5C6 (XY), R5C4 (XZ) and R8C6 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.

R4C6 - removing <4> from <14> leaving <1>

R4C9 can only be <4>

R6C4 can only be <6>

R9C9 can only be <7>

R5C8 can only be <8>

R5C5 can only be <7>

R6C9 can only be <1>

R6C6 can only be <8>

R3C4 can only be <5>

R2C6 can only be <4>

R9C1 can only be <4>

R2C4 can only be <1>

R2C7 can only be <9>

R8C6 can only be <7>

R3C5 can only be <8>

R2C3 can only be <8>

R7C7 can only be <4>

R3C9 can only be <3>

R3C6 can only be <6>

R7C4 can only be <2>

R3C1 can only be <7>

R3C8 can only be <4>

R1C9 can only be <8>

R7C9 can only be <9>

R5C6 can only be <2>

R8C5 can only be <4>

R5C4 can only be <4>

R7C6 can only be <5>

R7C8 can only be <3>

R1C3 can only be <6>

R3C3 can only be <9>

R7C1 can only be <6>

R7C3 can only be <7>

R1C1 can only be <3>



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