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Daily Sudoku Answer 



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Jan 01 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s193744



Reasoning 



R7C5 can only be <2>

R8C9 is the only square in row 8 that can be <3>

R9C9 can only be <1>

R9C8 can only be <8>

R9C1 can only be <7>

R9C2 can only be <3>

R5C3 is the only square in column 3 that can be <7>

R3C3 is the only square in column 3 that can be <5>

R3C7 is the only square in column 7 that can be <7>

R3C8 is the only square in column 8 that can be <3>

R3C5 can only be <9>

R3C2 can only be <1>

R2C7 is the only square in row 2 that can be <1>

R2C3 is the only square in row 2 that can be <9>

R7C3 can only be <1>

R8C3 can only be <8>

R8C1 can only be <6>

R8C7 can only be <9>

R7C2 can only be <9>

R1C8 is the only square in row 1 that can be <9>

R2C9 is the only square in row 2 that can be <6>

R1C9 can only be <4>

R1C1 can only be <8>

R1C2 can only be <6>

R2C1 can only be <4>

R5C4 is the only square in row 5 that can be <9>

Squares R4C2 and R4C4 in row 4 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 row.

R4C5 - removing <5> from <357> leaving <37>

R4C6 - removing <2> from <2347> leaving <347>

Squares R5C6<14>, R5C7<46> and R5C8<146> in row 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <146>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C5 - removing <6> from <568> leaving <58>

R6C5 is the only square in column 5 that can be <6>

Squares R7C7, R7C8, R5C7 and R5C8 form a Type-1 Unique Rectangle on <46>.

R5C8 - removing <46> from <146> leaving <1>

R5C6 can only be <4>

R6C8 can only be <7>

R4C8 can only be <4>

R7C8 can only be <6>

R5C7 can only be <6>

R7C7 can only be <4>

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

R6C4=<18>

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

R6C4 - removing <18> from <128> leaving <2>

R6C2 can only be <8>

R6C6 can only be <1>

R2C4 can only be <8>

R4C4 can only be <5>

R8C6 can only be <7>

R8C5 can only be <5>

R4C6 can only be <3>

R2C5 can only be <3>

R2C6 can only be <2>

R4C5 can only be <7>

R4C2 can only be <2>

R8C4 can only be <1>

R5C5 can only be <8>

R5C2 can only be <5>



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