Dec 06 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R1C8 is the only square in row 1 that can be <3>
R8C8 can only be <6>
R8C1 can only be <9>
R8C6 can only be <4>
R8C3 can only be <3>
R8C7 can only be <2>
R9C6 can only be <6>
R7C6 can only be <9>
R6C3 is the only square in row 6 that can be <8>
R9C9 is the only square in column 9 that can be <3>
R9C5 can only be <8>
R3C4 is the only square in row 3 that can be <8>
R6C2 is the only square in block 4 that can be <9>
R6C9 can only be <6>
R4C9 can only be <9>
Squares R2C2 and R2C9 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C3 - removing <4> from <479> leaving <79>
R2C4 - removing <4> from <467> leaving <67>
R2C7 - removing <4> from <4679> leaving <679>
Squares R2C9 and R3C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C7 - removing <4> from <4579> leaving <579>
R3C7 - removing <4> from <45679> leaving <5679>
Squares R4C6<15>, R4C7<158> and R4C8<58> in row 4 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <158>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C1 - removing <15> from <156> leaving <6>
R4C5 - removing <1> from <1346> leaving <346>
R5C5 is the only square in row 5 that can be <6>
R3C7 is the only square in row 3 that can be <6>
R2C4 is the only square in row 2 that can be <6>
R7C3 is the only square in row 7 that can be <6>
Squares R2C3 and R2C7 in row 2 and R9C3 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 3 and 7 can be removed.
R1C3 - removing <7> from <14579> leaving <1459>
R1C7 - removing <7> from <579> leaving <59>
R3C3 - removing <7> from <14579> leaving <1459>
R7C7 - removing <7> from <478> leaving <48>
Squares R2C2, R2C9, R3C2 and R3C9 form a Type-1 Unique Rectangle on <24>.
R3C2 - removing <24> from <1245> leaving <15>
R3C9 is the only square in row 3 that can be <2>
R2C9 can only be <4>
R2C2 can only be <2>
Intersection of column 2 with block 7. The value <4> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R9C3 - removing <4> from <457> leaving <57>
Squares R3C2<15>, R3C6<17> and R3C8<57> in row 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <157>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C3 - removing <15> from <1459> leaving <49>
R3C5 - removing <1> from <149> leaving <49>
Squares R3C6 (XY), R4C6 (XZ) and R3C8 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.
R4C8 - removing <5> from <58> leaving <8>
R7C8 can only be <7>
R7C1 can only be <1>
R3C8 can only be <5>
R9C7 can only be <4>
R9C2 can only be <5>
R7C7 can only be <8>
R3C2 can only be <1>
R1C7 can only be <9>
R7C2 can only be <4>
R6C1 can only be <5>
R9C3 can only be <7>
R2C3 can only be <9>
R2C7 can only be <7>
R3C3 can only be <4>
R3C6 can only be <7>
R3C5 can only be <9>
R1C3 can only be <5>
R1C4 can only be <4>
R6C6 can only be <1>
R1C1 can only be <7>
R5C3 can only be <1>
R6C5 can only be <2>
R4C6 can only be <5>
R1C5 can only be <1>
R4C4 can only be <3>
R4C5 can only be <4>
R7C4 can only be <2>
R4C7 can only be <1>
R5C7 can only be <5>
R6C4 can only be <7>
R7C5 can only be <3>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.