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Daily Sudoku Answer 



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Nov 12 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s034463



Reasoning 



R2C2 can only be <6>

R2C5 can only be <1>

R2C8 can only be <5>

R3C7 can only be <3>

R8C8 can only be <4>

R3C9 can only be <7>

R5C8 can only be <3>

R1C1 is the only square in row 1 that can be <3>

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

R6C5 is the only square in row 6 that can be <3>

R7C9 is the only square in row 7 that can be <3>

R7C1 is the only square in row 7 that can be <7>

R9C3 is the only square in row 9 that can be <1>

R9C1 is the only square in row 9 that can be <5>

R4C3 is the only square in column 3 that can be <5>

Squares R8C5 and R9C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C5 - removing <29> from <2489> leaving <48>

Squares R8C5 and R9C5 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C4 - removing <2> from <268> leaving <68>

R7C6 - removing <9> from <689> leaving <68>

Squares R7C4 and R7C6 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C7 - removing <6> from <269> leaving <29>

Squares R4C4 and R4C7 in row 4, R6C3, R6C4 and R6C7 in row 6 and R7C3 and R7C7 in row 7 form a Swordfish pattern on possibility <2>. All other instances of this possibility in columns 3, 4 and 7 can be removed.

R3C3 - removing <2> from <248> leaving <48>

R5C4 - removing <2> from <1258> leaving <158>

R9C7 - removing <2> from <269> leaving <69>

R3C1 is the only square in row 3 that can be <2>

R5C1 can only be <4>

R5C5 can only be <8>

R1C5 can only be <4>

R1C3 can only be <8>

R3C3 can only be <4>

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

R6C7=<14>

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

R6C7 - removing <14> from <124> leaving <2>

R6C3 can only be <9>

R6C4 can only be <1>

R4C7 can only be <4>

R7C7 can only be <9>

R5C9 can only be <1>

R7C3 can only be <2>

R9C7 can only be <6>

R9C9 can only be <2>

R1C7 can only be <1>

R9C5 can only be <9>

R1C9 can only be <6>

R4C6 can only be <6>

R5C4 can only be <5>

R6C6 can only be <4>

R5C2 can only be <2>

R8C2 can only be <9>

R8C5 can only be <2>

R4C4 can only be <2>

R7C6 can only be <8>

R5C6 can only be <9>

R3C4 can only be <8>

R7C4 can only be <6>

R3C6 can only be <5>



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