Aug 11 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R3C5 can only be <5>
R2C5 can only be <8>
R1C6 can only be <1>
R1C4 can only be <7>
R4C6 can only be <3>
R9C6 can only be <9>
R6C6 can only be <5>
R1C9 is the only square in row 1 that can be <2>
R6C4 is the only square in column 4 that can be <9>
R7C5 is the only square in column 5 that can be <3>
Squares R3C7<469>, R5C7<69> and R7C7<49> in column 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <469>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C7 - removing <46> from <3456> leaving <35>
R9C7 - removing <6> from <356> leaving <35>
Intersection of row 1 with block 1. The values <48> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R3C1 - removing <4> from <4679> leaving <679>
R3C3 - removing <4> from <467> leaving <67>
Squares R2C2 and R2C9 in row 2 and R8C2 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 2 and 9 can be removed.
R1C2 - removing <5> from <58> leaving <8>
R9C2 - removing <5> from <2578> leaving <278>
R9C9 - removing <5> from <1568> leaving <168>
Squares R5C2 and R9C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C2 - removing <7> from <579> leaving <59>
R8C2 - removing <2> from <259> leaving <59>
Squares R5C2 (XY), R5C5 (XZ) and R6C1 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
R5C3 - removing <1> from <167> leaving <67>
Squares R3C3 and R5C3 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.
R1C3 - removing <6> from <456> leaving <45>
R9C3 - removing <7> from <157> leaving <15>
Intersection of column 3 with block 7. The value <1> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C1 - removing <1> from <1489> leaving <489>
R8C1 - removing <1> from <1249> leaving <249>
R9C1 - removing <1> from <1278> leaving <278>
Squares R3C3 and R5C3 in column 3 and R3C7 and R5C7 in column 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 3 and 5 can be removed.
R3C1 - removing <6> from <679> leaving <79>
R5C8 - removing <6> from <1679> leaving <179>
R3C9 - removing <6> from <4679> leaving <479>
Squares R7C7 (XY), R7C3 (XZ) and R8C8 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
R7C9 - removing <1> from <1489> leaving <489>
R7C3 is the only square in row 7 that can be <1>
R9C3 can only be <5>
R9C7 can only be <3>
R1C3 can only be <4>
R8C2 can only be <9>
R1C7 can only be <5>
R8C8 can only be <1>
R2C2 can only be <5>
R8C5 can only be <2>
R9C8 can only be <6>
R9C9 can only be <8>
R1C8 can only be <3>
R1C1 can only be <6>
R8C1 can only be <4>
R5C5 can only be <1>
R9C4 can only be <1>
R4C4 can only be <2>
R3C3 can only be <7>
R3C1 can only be <9>
R5C3 can only be <6>
R4C1 can only be <1>
R5C7 can only be <9>
R5C8 can only be <7>
R7C7 can only be <4>
R5C2 can only be <2>
R2C8 can only be <9>
R6C9 can only be <1>
R6C1 can only be <7>
R4C9 can only be <6>
R7C1 can only be <8>
R7C9 can only be <9>
R3C7 can only be <6>
R8C9 can only be <5>
R2C9 can only be <7>
R3C9 can only be <4>
R2C1 can only be <3>
R9C2 can only be <7>
R9C1 can only be <2>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.