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Daily Sudoku Answer 



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May 26 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s056463



Reasoning 



R1C4 can only be <5>

R3C4 can only be <2>

R2C4 can only be <3>

R2C5 can only be <6>

R3C5 can only be <1>

R2C8 is the only square in row 2 that can be <2>

R4C3 is the only square in row 4 that can be <6>

R4C5 is the only square in row 4 that can be <7>

R6C7 is the only square in row 6 that can be <8>

R7C2 is the only square in row 7 that can be <1>

R9C6 is the only square in row 9 that can be <9>

R4C6 is the only square in column 6 that can be <1>

R4C9 can only be <9>

R4C4 can only be <4>

R4C8 can only be <3>

R6C4 can only be <9>

Intersection of row 6 with block 4. The value <4> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R5C1 - removing <4> from <347> leaving <37>

R5C2 - removing <4> from <2479> leaving <279>

R5C3 - removing <4> from <249> leaving <29>

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.

R5C5 - removing <5> from <235> leaving <23>

Squares R1C2<46>, R1C3<48> and R3C1<68> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <468>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R3C3 - removing <8> from <589> leaving <59>

Squares R1C2 and R1C8 in row 1 and R8C2 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 2 and 8 can be removed.

R3C8 - removing <6> from <568> leaving <58>

R9C2 - removing <6> from <4567> leaving <457>

R9C8 - removing <6> from <456> leaving <45>

Squares R1C9 (XY), R5C9 (XZ) and R3C8 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.

R3C9 - removing <5> from <578> leaving <78>

R5C8 - removing <5> from <145> leaving <14>

Squares R5C8 (XY), R5C9 (XZ) and R9C8 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.

R7C9 - removing <5> from <578> leaving <78>

R5C9 is the only square in column 9 that can be <5>

R5C7 can only be <4>

R5C8 can only be <1>

R1C9 is the only square in row 1 that can be <1>

Squares R1C3 and R1C8 in row 1 and R8C3 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 8 can be removed.

R3C8 - removing <8> from <58> leaving <5>

R7C3 - removing <8> from <2458> leaving <245>

R3C3 can only be <9>

R9C8 can only be <4>

R2C7 can only be <9>

R2C2 can only be <5>

R5C3 can only be <2>

R5C5 can only be <3>

R6C2 can only be <4>

R5C1 can only be <7>

R6C1 can only be <3>

R1C2 can only be <6>

R1C8 can only be <8>

R3C1 can only be <8>

R1C3 can only be <4>

R8C8 can only be <6>

R3C9 can only be <7>

R8C2 can only be <2>

R9C2 can only be <7>

R3C7 can only be <6>

R7C9 can only be <8>

R5C2 can only be <9>

R7C1 can only be <4>

R9C1 can only be <6>

R7C3 can only be <5>

R7C5 can only be <2>

R7C7 can only be <7>

R8C3 can only be <8>

R7C6 can only be <3>

R6C5 can only be <5>

R8C6 can only be <5>

R8C5 can only be <4>

R6C6 can only be <2>

R9C7 can only be <5>



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