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Daily Sudoku Answer 



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Dec 31 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s192757



Reasoning 



R9C6 can only be <3>

R1C3 is the only square in row 1 that can be <4>

R1C4 is the only square in row 1 that can be <3>

R2C5 is the only square in row 2 that can be <8>

R4C6 is the only square in row 4 that can be <2>

R4C1 is the only square in row 4 that can be <9>

R5C5 is the only square in row 5 that can be <4>

R5C6 is the only square in row 5 that can be <9>

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

R7C2 is the only square in row 7 that can be <3>

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

R2C3 is the only square in row 2 that can be <3>

R3C9 is the only square in row 3 that can be <9>

R8C2 is the only square in row 8 that can be <2>

R8C8 is the only square in row 8 that can be <9>

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

R3C5 is the only square in column 5 that can be <6>

R3C2 can only be <5>

R1C6 can only be <1>

R6C6 can only be <6>

R3C1 can only be <1>

R5C7 is the only square in column 7 that can be <8>

R4C4 is the only square in row 4 that can be <8>

Squares R7C5 and R7C8 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C1 - removing <5> from <568> leaving <68>

R7C9 - removing <15> from <1568> leaving <68>

R6C9 is the only square in column 9 that can be <1>

R5C4 is the only square in row 5 that can be <1>

Squares R7C8 and R8C7 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R9C9 - removing <5> from <568> leaving <68>

Squares R7C9 and R9C9 in column 9 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 column.

R1C9 - removing <6> from <567> leaving <57>

Squares R6C1 and R9C1 in column 1 and R6C4 and R9C4 in column 4 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 6 and 9 can be removed.

R9C3 - removing <5> from <567> leaving <67>

Squares R2C2 and R5C2 in column 2 and R2C8 and R5C8 in column 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 2 and 5 can be removed.

R5C3 - removing <7> from <567> leaving <56>

Intersection of column 3 with block 7. The value <7> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R9C1 - removing <7> from <5678> leaving <568>

Squares R7C1, R7C9, R9C1 and R9C9 form a Type-1 Unique Rectangle on <68>.

R9C1 - removing <68> from <568> leaving <5>

R9C4 can only be <7>

R6C1 can only be <7>

R8C3 can only be <7>

R9C3 can only be <6>

R6C4 can only be <5>

R1C1 can only be <6>

R5C2 can only be <6>

R4C5 can only be <7>

R9C9 can only be <8>

R5C3 can only be <5>

R7C1 can only be <8>

R7C9 can only be <6>

R1C7 can only be <5>

R2C2 can only be <7>

R1C9 can only be <7>

R8C7 can only be <1>

R4C9 can only be <5>

R2C8 can only be <1>

R2C7 can only be <6>

R7C8 can only be <5>

R5C8 can only be <7>

R7C5 can only be <1>

R8C5 can only be <5>



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