Aug 25 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R1C5 can only be <7>
R1C3 can only be <4>
R1C6 can only be <6>
R3C6 can only be <3>
R2C5 can only be <8>
R3C4 can only be <4>
R3C3 is the only square in row 3 that can be <8>
R4C7 is the only square in row 4 that can be <8>
R5C1 is the only square in row 5 that can be <4>
R5C4 is the only square in row 5 that can be <8>
R6C1 is the only square in row 6 that can be <1>
R6C9 is the only square in row 6 that can be <2>
R5C5 is the only square in row 5 that can be <2>
R7C8 is the only square in row 7 that can be <2>
R7C6 is the only square in row 7 that can be <1>
R7C1 is the only square in row 7 that can be <8>
R8C3 is the only square in row 8 that can be <2>
R9C1 is the only square in column 1 that can be <9>
R7C7 is the only square in row 7 that can be <9>
R9C5 is the only square in row 9 that can be <5>
R8C5 can only be <3>
R7C4 can only be <7>
R7C2 can only be <3>
R6C4 can only be <3>
R9C4 can only be <6>
R4C3 is the only square in column 3 that can be <3>
Squares R8C1 and R8C2 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C7 - removing <7> from <47> leaving <4>
R8C8 - removing <7> from <167> leaving <16>
R8C9 - removing <7> from <1467> leaving <146>
R2C9 is the only square in row 2 that can be <4>
R5C9 is the only square in column 9 that can be <3>
Squares R2C3 and R6C3 in column 3 and R2C7 and R6C7 in column 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 2 and 6 can be removed.
R2C1 - removing <5> from <567> leaving <67>
R2C2 - removing <5> from <1567> leaving <167>
R2C8 - removing <5> from <1357> leaving <137>
Squares R9C7, R9C8, R2C7 and R2C8 form a Type-4 Unique Rectangle on <37>.
R2C7 - removing <7> from <357> leaving <35>
R2C8 - removing <7> from <137> leaving <13>
Intersection of row 2 with block 1. The values <67> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R3C2 - removing <7> from <579> leaving <59>
Squares R2C7 (XY), R9C7 (XZ) and R3C8 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
R9C8 - removing <7> from <37> leaving <3>
R9C7 can only be <7>
R2C8 can only be <1>
R8C8 can only be <6>
R1C9 can only be <9>
R8C9 can only be <1>
R6C7 can only be <5>
R1C2 can only be <1>
R3C9 can only be <7>
R3C8 can only be <5>
R4C9 can only be <6>
R6C3 can only be <7>
R2C7 can only be <3>
R5C8 can only be <7>
R3C2 can only be <9>
R5C6 can only be <5>
R2C3 can only be <5>
R4C1 can only be <5>
R4C6 can only be <7>
R8C1 can only be <7>
R5C2 can only be <6>
R2C2 can only be <7>
R8C2 can only be <5>
R2C1 can only be <6>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.