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Daily Sudoku Answer 



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Aug 26 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s049991



Reasoning 



R2C8 can only be <2>

R8C2 can only be <7>

R2C7 can only be <6>

R6C8 can only be <7>

R8C3 can only be <5>

R8C5 can only be <2>

R9C4 can only be <7>

R7C4 can only be <3>

R2C5 can only be <7>

R7C2 is the only square in row 7 that can be <6>

R7C9 is the only square in row 7 that can be <7>

R5C1 is the only square in column 1 that can be <9>

R5C3 is the only square in row 5 that can be <7>

R1C1 is the only square in row 1 that can be <7>

R5C2 is the only square in row 5 that can be <1>

Squares R9C1 and R9C3 in row 9 form a simple naked 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 row.

R9C5 - removing <8> from <458> leaving <45>

R9C7 - removing <1> from <12459> leaving <2459>

R9C8 - removing <1> from <149> leaving <49>

Intersection of row 5 with block 6. The values <345> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C7 - removing <4> from <2489> leaving <289>

Intersection of block 5 with row 5. The values <268> 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 these values.

R5C7 - removing <28> from <2458> leaving <45>

R5C9 - removing <2> from <235> leaving <35>

Squares R3C1<168>, R3C2<28>, R3C3<1268> and R3C4<26> in row 3 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1268>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C5 - removing <6> from <569> leaving <59>

R3C6 - removing <2> from <235> leaving <35>

R3C8 - removing <1> from <139> leaving <39>

R7C8 is the only square in column 8 that can be <1>

R1C7 is the only square in column 7 that can be <1>

Squares R5C7 and R7C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C7 - removing <45> from <2459> leaving <29>

Squares R9C1, R9C3, R3C1 and R3C3 form a Type-3 Unique Rectangle on <18>. Upon close inspection, it is clear that:

(R3C1 or R3C3)<26>, R1C3<246> and R1C2<24> form a naked triplet on <246> in block 1. No other squares in the block can contain these possibilities

R3C2 - removing <2> from <28> leaving <8>

Squares R1C2, R4C2, R1C3 and R4C3 form a Type-4 Unique Rectangle on <24>.

R1C3 - removing <2> from <246> leaving <46>

R4C3 - removing <2> from <248> leaving <48>

Squares R4C3 (XY), R1C3 (XZ) and R6C1 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.

R6C3 - removing <6> from <268> leaving <28>

R3C1 - removing <6> from <16> leaving <1>

R9C1 can only be <8>

R9C3 can only be <1>

R6C1 can only be <6>

Squares R9C5 (XY), R9C8 (XZ) and R3C5 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.

R3C8 - removing <9> from <39> leaving <3>

R3C6 can only be <5>

R5C8 can only be <4>

R1C9 can only be <9>

R5C7 can only be <5>

R9C8 can only be <9>

R9C7 can only be <2>

R1C5 can only be <6>

R4C9 can only be <2>

R3C5 can only be <9>

R7C6 can only be <8>

R4C2 can only be <4>

R9C9 can only be <5>

R6C7 can only be <8>

R5C9 can only be <3>

R7C7 can only be <4>

R6C3 can only be <2>

R4C7 can only be <9>

R5C6 can only be <2>

R7C5 can only be <5>

R9C5 can only be <4>

R1C3 can only be <4>

R5C5 can only be <8>

R3C4 can only be <2>

R3C3 can only be <6>

R5C4 can only be <6>

R1C6 can only be <3>

R4C3 can only be <8>

R1C2 can only be <2>



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