Jul 07 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R4C9 can only be <9>
R3C5 is the only square in row 3 that can be <3>
R2C1 is the only square in row 2 that can be <3>
R5C5 is the only square in row 5 that can be <8>
R7C8 is the only square in row 7 that can be <3>
R5C4 is the only square in row 5 that can be <3>
R5C2 is the only square in row 5 that can be <9>
R6C1 can only be <6>
R5C3 is the only square in row 5 that can be <4>
R4C1 can only be <5>
R5C6 is the only square in row 5 that can be <5>
R6C9 is the only square in row 6 that can be <3>
R6C6 is the only square in row 6 that can be <7>
R8C5 is the only square in row 8 that can be <1>
R6C4 is the only square in column 4 that can be <9>
R6C5 can only be <2>
R2C5 can only be <9>
R7C5 can only be <4>
R4C5 can only be <6>
R9C4 can only be <2>
R9C6 can only be <6>
R1C4 can only be <1>
R4C6 can only be <1>
R1C6 can only be <2>
R4C4 can only be <4>
R9C8 is the only square in column 8 that can be <5>
R9C1 is the only square in row 9 that can be <9>
Squares R8C1 and R9C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C2 - removing <48> from <24678> leaving <267>
Squares R2C7<26>, R5C7<67> and R7C7<27> in column 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <267>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C7 - removing <2> from <249> leaving <49>
R8C7 - removing <27> from <2479> leaving <49>
Intersection of row 3 with block 1. The value <2> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R2C2 - removing <2> from <2568> leaving <568>
R2C3 - removing <2> from <1256> leaving <156>
Squares R1C1 and R9C9 form a remote naked pair. <48> can be removed from any square that is common to their groups.
R1C9 - removing <48> from <478> leaving <7>
R3C7 is the only square in block 3 that can be <4>
R3C2 can only be <2>
R8C7 can only be <9>
R3C3 can only be <1>
R3C8 can only be <9>
R2C8 is the only square in row 2 that can be <1>
Squares R2C2 and R2C9 in row 2 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 2 and 9 can be removed.
R1C2 - removing <8> from <468> leaving <46>
R8C9 - removing <8> from <248> leaving <24>
Squares R2C3 (XY), R7C3 (XZ) and R2C7 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.
R7C7 - removing <2> from <27> leaving <7>
R7C2 can only be <5>
R5C7 can only be <6>
R8C8 can only be <8>
R8C1 can only be <4>
R1C8 can only be <6>
R9C9 can only be <4>
R9C2 can only be <8>
R8C9 can only be <2>
R1C2 can only be <4>
R5C8 can only be <7>
R2C7 can only be <2>
R2C9 can only be <8>
R7C3 can only be <2>
R2C2 can only be <6>
R8C3 can only be <6>
R1C1 can only be <8>
R8C2 can only be <7>
R2C3 can only be <5>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.