Jun 26 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R4C7 is the only square in row 4 that can be <7>
R5C7 is the only square in row 5 that can be <6>
R8C6 is the only square in row 8 that can be <3>
R8C2 is the only square in row 8 that can be <7>
R2C3 is the only square in row 2 that can be <7>
R2C2 is the only square in row 2 that can be <3>
R3C5 is the only square in row 3 that can be <7>
R9C9 is the only square in row 9 that can be <7>
R4C4 is the only square in column 4 that can be <2>
R1C5 is the only square in column 5 that can be <5>
R1C1 is the only square in row 1 that can be <6>
R7C6 is the only square in column 6 that can be <9>
R4C2 is the only square in column 2 that can be <9>
R5C9 is the only square in row 5 that can be <9>
R1C2 is the only square in block 1 that can be <2>
R7C2 can only be <5>
R3C2 can only be <4>
R8C1 can only be <9>
R9C1 can only be <2>
R5C3 is the only square in row 5 that can be <2>
R8C8 is the only square in row 8 that can be <5>
R9C8 is the only square in row 9 that can be <9>
R3C7 is the only square in row 3 that can be <9>
R6C9 is the only square in column 9 that can be <5>
Squares R3C1 and R3C3 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C4 - removing <1> from <168> leaving <68>
Squares R6C7 and R6C8 in row 6 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.
R6C5 - removing <4> from <1348> leaving <138>
R6C6 - removing <4> from <148> leaving <18>
Intersection of row 9 with block 8. The value <4> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C5 - removing <4> from <1468> leaving <168>
Intersection of column 5 with block 8. The value <6> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R9C4 - removing <6> from <468> leaving <48>
Intersection of column 6 with block 2. The value <4> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C4 - removing <4> from <146> leaving <16>
R9C4 is the only square in column 4 that can be <4>
Squares R6C7, R6C8, R7C7 and R7C8 form a Type-3 Unique Rectangle on <24>. Upon close inspection, it is clear that:
(R7C7 or R7C8)<18> and R8C7<18> form a naked pair on <18> in block 9. No other squares in the block can contain these possibilities
R7C9 - removing <1> from <124> leaving <24>
Intersection of column 9 with block 3. The value <1> only appears in one or more of squares R1C9, R2C9 and R3C9 of column 9. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C7 - removing <1> from <148> leaving <48>
Squares R9C3, R9C5, R7C3 and R7C5 form a Type-1 Unique Rectangle on <68>.
R7C5 - removing <68> from <168> leaving <1>
R5C5 can only be <4>
R8C4 can only be <8>
R8C7 can only be <1>
R3C4 can only be <6>
R9C5 can only be <6>
R9C3 can only be <8>
R3C8 can only be <8>
R2C4 can only be <1>
R1C7 can only be <4>
R5C1 can only be <1>
R4C5 can only be <3>
R7C3 can only be <6>
R1C9 can only be <1>
R6C7 can only be <2>
R1C6 can only be <8>
R2C9 can only be <2>
R2C6 can only be <4>
R2C8 can only be <6>
R7C9 can only be <4>
R4C3 can only be <5>
R6C5 can only be <8>
R3C1 can only be <5>
R6C3 can only be <3>
R6C6 can only be <1>
R6C8 can only be <4>
R7C7 can only be <8>
R7C8 can only be <2>
R3C3 can only be <1>
R4C1 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.