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Daily Sudoku Answer 



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Jun 25 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s051347



Reasoning 



R1C4 can only be <1>

R2C1 can only be <6>

R4C9 can only be <1>

R5C3 can only be <8>

R5C6 can only be <5>

R2C9 can only be <3>

R5C5 can only be <1>

R4C1 can only be <2>

R6C1 can only be <1>

R1C3 is the only square in row 1 that can be <3>

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

R1C9 is the only square in row 1 that can be <5>

R9C7 is the only square in row 9 that can be <1>

R9C6 is the only square in row 9 that can be <3>

R4C6 can only be <7>

R7C5 can only be <8>

R4C4 can only be <8>

R4C5 can only be <3>

R9C4 can only be <7>

R7C7 is the only square in row 7 that can be <3>

R9C3 is the only square in row 9 that can be <6>

Intersection of column 7 with block 3. The value <9> 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 this value.

R3C9 - removing <9> from <689> leaving <68>

Squares R3C1 and R3C9 in row 3 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 9 can be removed.

R9C1 - removing <8> from <489> leaving <49>

R9C9 - removing <8> from <2489> leaving <249>

The puzzle can be reduced to a Bivalue Universal Grave (BUG) pattern, by making this reduction:

R9C9=<29>

These are called the BUG possibilities. In a BUG pattern, in each row, column and block, each unsolved possibility appears exactly twice. Such a pattern either has 0 or 2 solutions, so it cannot be part of a valid Sudoku

When a puzzle contains a BUG, and only one square in the puzzle has more than 2 possibilities, the only way to kill the BUG is to remove both of the BUG possibilities from the square, thus solving it

R9C9 - removing <29> from <249> leaving <4>

R9C1 can only be <9>

R9C8 can only be <8>

R6C9 can only be <6>

R7C9 can only be <2>

R6C4 can only be <4>

R3C9 can only be <8>

R5C7 can only be <4>

R7C3 can only be <5>

R8C1 can only be <8>

R9C2 can only be <2>

R1C8 can only be <4>

R8C9 can only be <9>

R1C7 can only be <9>

R3C1 can only be <5>

R5C4 can only be <6>

R7C1 can only be <4>

R3C3 can only be <2>

R1C2 can only be <8>

R1C6 can only be <2>

R3C7 can only be <6>

R3C5 can only be <9>

R6C5 can only be <2>

R6C6 can only be <9>



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