Jul 22 - Very Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R3C9 can only be <6>
R3C8 is the only square in row 3 that can be <5>
R2C6 is the only square in column 6 that can be <6>
Intersection of row 3 with block 2. The value <1> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C5 - removing <1> from <149> leaving <49>
Squares R2C3<489>, R3C1<49> and R3C2<489> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <489>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C2 - removing <49> from <4679> leaving <67>
R1C3 - removing <49> from <4679> leaving <67>
Squares R8C4<15>, R8C5<135> and R8C6<13> in row 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <135>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C3 - removing <1> from <167> leaving <67>
R8C7 - removing <1> from <167> leaving <67>
Squares R1C3 and R8C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R9C3 - removing <6> from <146> leaving <14>
Intersection of row 8 with block 8. The values <135> only appears in one or more of squares R8C4, R8C5 and R8C6 of row 8. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
R7C4 - removing <1> from <128> leaving <28>
R7C6 - removing <1> from <124> leaving <24>
R9C5 - removing <1> from <1248> leaving <248>
Squares R5C6 and R7C6 in column 6 and R5C9 and R7C9 in column 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 5 and 7 can be removed.
R5C3 - removing <2> from <12489> leaving <1489>
R5C4 - removing <2> from <1259> leaving <159>
R7C4 - removing <2> from <28> leaving <8>
R5C5 - removing <2> from <12359> leaving <1359>
R5C8 - removing <2> from <23468> leaving <3468>
R7C8 - removing <2> from <128> leaving <18>
R7C8 can only be <1>
R1C8 can only be <4>
R1C5 can only be <9>
R2C7 can only be <9>
R2C4 can only be <2>
R1C7 can only be <1>
R3C4 can only be <1>
R3C6 can only be <4>
R8C4 can only be <5>
R3C1 can only be <9>
R7C6 can only be <2>
R2C5 can only be <8>
R7C9 can only be <7>
R9C5 can only be <4>
R5C9 can only be <2>
R8C7 can only be <6>
R5C4 can only be <9>
R8C3 can only be <7>
R9C7 can only be <8>
R9C2 can only be <6>
R9C3 can only be <1>
R9C8 can only be <2>
R6C7 can only be <5>
R4C8 can only be <3>
R2C3 can only be <4>
R3C2 can only be <8>
R7C1 can only be <4>
R6C8 can only be <8>
R4C7 can only be <4>
R5C8 can only be <6>
R7C2 can only be <9>
R5C1 can only be <1>
R6C2 can only be <3>
R1C3 can only be <6>
R1C2 can only be <7>
R4C3 can only be <2>
R5C3 can only be <8>
R6C3 can only be <9>
R4C2 can only be <5>
R5C7 can only be <7>
R5C6 can only be <3>
R5C5 can only be <5>
R8C6 can only be <1>
R6C5 can only be <2>
R8C5 can only be <3>
R4C5 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.