Dec 18 - Very Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R4C4 can only be <6>
R5C8 can only be <7>
R7C5 can only be <6>
R5C7 can only be <6>
R4C9 can only be <5>
R6C9 can only be <8>
R5C4 is the only square in row 5 that can be <8>
R9C4 can only be <4>
R9C6 can only be <9>
R6C4 can only be <3>
R6C6 can only be <4>
R8C5 can only be <8>
R6C5 can only be <9>
R1C4 can only be <5>
R6C1 can only be <5>
R1C3 is the only square in column 3 that can be <9>
R3C5 is the only square in column 5 that can be <3>
Squares R2C1<47>, R2C2<45>, R3C1<147> and R3C3<145> in block 1 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1457>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C1 - removing <17> from <1678> leaving <68>
R1C2 - removing <1> from <168> leaving <68>
Intersection of row 1 with block 3. The values <13> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.
R3C7 - removing <1> from <157> leaving <57>
R3C9 - removing <1> from <147> leaving <47>
Squares R2C1<47>, R3C1<147>, R4C1<12> and R7C1<124> in column 1 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1247>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R8C1 - removing <1> from <136> leaving <36>
R9C1 - removing <2> from <2368> leaving <368>
Squares R3C3 and R3C7 in row 3 and R7C3 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 7 can be removed.
R9C3 - removing <5> from <25> leaving <2>
R9C7 - removing <5> from <357> leaving <37>
R5C6 is the only square in row 5 that can be <2>
R1C6 can only be <7>
R4C5 can only be <7>
R4C6 can only be <1>
R2C5 can only be <2>
R4C1 can only be <2>
R7C9 is the only square in row 7 that can be <2>
R1C9 can only be <1>
R1C7 can only be <3>
R1C8 can only be <2>
R9C7 can only be <7>
R9C9 can only be <6>
R3C7 can only be <5>
R8C9 can only be <9>
R7C7 can only be <1>
R2C8 can only be <9>
R7C1 can only be <4>
R8C8 can only be <3>
R7C3 can only be <5>
R2C1 can only be <7>
R9C2 can only be <8>
R8C1 can only be <6>
R9C8 can only be <5>
R9C1 can only be <3>
R1C2 can only be <6>
R1C1 can only be <8>
R8C2 can only be <1>
R2C9 can only be <4>
R3C1 can only be <1>
R2C2 can only be <5>
R3C9 can only be <7>
R3C3 can only be <4>
R5C3 can only be <1>
R5C2 can only be <4>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.