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Daily Sudoku Answer 



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Jul 02 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s123235



Reasoning 



R1C8 can only be <7>

R4C4 can only be <8>

R4C6 can only be <4>

R5C2 can only be <3>

R6C4 can only be <2>

R6C6 can only be <3>

R8C5 can only be <8>

R4C5 can only be <5>

R5C3 can only be <4>

R5C6 can only be <1>

R1C2 can only be <9>

R5C4 can only be <9>

R6C5 can only be <7>

R7C5 can only be <4>

R1C7 can only be <3>

R1C3 can only be <8>

R5C5 can only be <6>

R7C7 is the only square in row 7 that can be <8>

R9C7 is the only square in row 9 that can be <4>

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

R8C7 is the only square in column 7 that can be <7>

R7C8 is the only square in column 8 that can be <6>

Intersection of block 9 with column 9. The value <2> only appears in one or more of squares R7C9, R8C9 and R9C9 of block 9. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain this value.

R3C9 - removing <2> from <124> leaving <14>

Squares R2C3 and R2C9 in row 2 and R8C3 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 3 and 9 can be removed.

R3C3 - removing <1> from <1367> leaving <367>

R3C9 - removing <1> from <14> leaving <4>

R2C1 is the only square in row 2 that can be <4>

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

R3C3=<67>

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

R3C3 - removing <67> from <367> leaving <3>

R3C1 can only be <6>

R3C5 can only be <9>

R2C3 can only be <1>

R7C3 can only be <7>

R3C7 can only be <2>

R2C5 can only be <3>

R3C8 can only be <1>

R5C7 can only be <5>

R3C2 can only be <7>

R9C8 can only be <5>

R2C9 can only be <5>

R5C8 can only be <2>

R2C7 can only be <9>

R7C2 can only be <5>

R9C2 can only be <1>

R7C9 can only be <2>

R8C3 can only be <6>

R8C1 can only be <2>

R7C1 can only be <3>

R8C9 can only be <1>



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