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Daily Sudoku Answer 



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Mar 19 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s340543



Reasoning 



R1C8 can only be <1>

R5C5 can only be <8>

R9C2 can only be <3>

R5C7 can only be <2>

R8C1 can only be <6>

R7C3 can only be <2>

R1C6 is the only square in row 1 that can be <3>

R2C6 is the only square in row 2 that can be <2>

R2C4 is the only square in row 2 that can be <1>

R4C2 is the only square in row 4 that can be <2>

R4C9 is the only square in row 4 that can be <1>

R5C2 is the only square in row 5 that can be <1>

R6C3 is the only square in row 6 that can be <5>

R7C6 is the only square in row 7 that can be <1>

R8C5 is the only square in row 8 that can be <3>

R9C4 is the only square in row 9 that can be <5>

Squares R1C4 and R8C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C4 - removing <4> from <468> leaving <68>

R7C4 - removing <7> from <678> leaving <68>

Intersection of column 5 with block 2. The value <9> only appears in one or more of squares R1C5, R2C5 and R3C5 of column 5. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.

R3C6 - removing <9> from <489> leaving <48>

Squares R2C1 and R2C5 in row 2, R4C1 and R4C7 in row 4 and R7C5 and R7C7 in row 7 form a Swordfish pattern on possibility <7>. All other instances of this possibility in columns 1, 5 and 7 can be removed.

R6C1 - removing <7> from <378> leaving <38>

R6C7 - removing <7> from <3789> leaving <389>

Squares R4C3 (XY), R6C1 (XZ) and R4C8 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R4C1 - removing <8> from <378> leaving <37>

R6C8 - removing <8> from <489> leaving <49>

R6C7 - removing <8> from <389> leaving <39>

R6C1 is the only square in row 6 that can be <8>

Squares R3C7 and R6C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R4C7 - removing <3> from <378> leaving <78>

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

R6C9=<37>

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

R6C9 - removing <37> from <379> leaving <9>

R6C7 can only be <3>

R6C8 can only be <4>

R2C9 can only be <3>

R8C9 can only be <7>

R8C4 can only be <4>

R7C7 can only be <8>

R2C1 can only be <7>

R3C7 can only be <9>

R3C5 can only be <6>

R6C2 can only be <7>

R5C8 can only be <6>

R7C4 can only be <6>

R4C7 can only be <7>

R9C8 can only be <9>

R8C6 can only be <9>

R1C4 can only be <7>

R9C6 can only be <8>

R3C6 can only be <4>

R1C2 can only be <4>

R2C5 can only be <9>

R4C1 can only be <3>

R3C4 can only be <8>

R7C5 can only be <7>

R3C3 can only be <3>

R4C3 can only be <6>

R4C8 can only be <8>

R5C3 can only be <4>



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