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Daily Sudoku Answer 



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Jan 29 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s156613



Reasoning 



R1C9 can only be <7>

R2C7 is the only square in row 2 that can be <6>

R3C8 is the only square in row 3 that can be <1>

R2C8 can only be <3>

R2C2 can only be <5>

R3C2 can only be <3>

R7C2 can only be <2>

R3C4 can only be <5>

R3C6 can only be <4>

R7C4 can only be <6>

R7C8 can only be <4>

R5C2 can only be <4>

R8C2 can only be <7>

R7C6 can only be <5>

R5C1 is the only square in row 5 that can be <3>

R4C7 is the only square in row 4 that can be <3>

R6C9 is the only square in row 6 that can be <6>

R5C6 is the only square in row 5 that can be <6>

R6C5 is the only square in row 6 that can be <4>

R4C9 is the only square in row 4 that can be <4>

R6C3 is the only square in row 6 that can be <9>

Intersection of row 9 with block 8. The values <23> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.

R8C5 - removing <2> from <289> leaving <89>

Squares R2C3 and R2C5 in row 2 and R8C3 and R8C5 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 5 can be removed.

R1C5 - removing <8> from <1238> leaving <123>

R5C5 - removing <8> from <258> leaving <25>

R9C5 - removing <8> from <2389> leaving <239>

R5C4 is the only square in row 5 that can be <8>

Squares R4C5 and R5C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C5 - removing <2> from <123> leaving <13>

R9C5 - removing <2> from <239> leaving <39>

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

R4C1=<12>

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

R4C1 - removing <12> from <125> leaving <5>

R4C3 can only be <1>

R4C5 can only be <2>

R6C1 can only be <2>

R9C1 can only be <8>

R2C3 can only be <8>

R5C5 can only be <5>

R5C9 can only be <9>

R5C8 can only be <2>

R9C9 can only be <5>

R6C7 can only be <5>

R8C7 can only be <2>

R8C8 can only be <9>

R8C5 can only be <8>

R9C6 can only be <2>

R1C1 can only be <1>

R8C3 can only be <5>

R9C4 can only be <3>

R1C6 can only be <8>

R1C5 can only be <3>

R1C4 can only be <2>

R9C5 can only be <9>

R2C5 can only be <1>



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