Aug 05 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R2C2 is the only square in row 2 that can be <9>
R4C7 is the only square in row 4 that can be <6>
R6C5 is the only square in row 6 that can be <6>
R1C1 is the only square in column 1 that can be <4>
R7C1 is the only square in column 1 that can be <6>
R6C2 is the only square in column 2 that can be <5>
R6C3 is the only square in column 3 that can be <9>
R7C6 is the only square in column 6 that can be <8>
R5C6 is the only square in column 6 that can be <9>
R7C4 is the only square in column 4 that can be <9>
R7C5 is the only square in row 7 that can be <5>
R5C4 is the only square in row 5 that can be <5>
R2C6 is the only square in row 2 that can be <5>
R1C7 is the only square in row 1 that can be <5>
R6C6 is the only square in column 6 that can be <4>
R3C7 is the only square in column 7 that can be <7>
R3C8 is the only square in row 3 that can be <9>
R3C9 is the only square in row 3 that can be <4>
R8C7 is the only square in row 8 that can be <9>
R6C8 is the only square in column 8 that can be <7>
R2C9 is the only square in block 3 that can be <2>
R1C9 is the only square in column 9 that can be <3>
R1C8 can only be <6>
R9C9 is the only square in row 9 that can be <6>
R9C8 is the only square in row 9 that can be <8>
Squares R5C9 and R6C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C7 - removing <1> from <124> leaving <24>
Squares R5C7 and R5C8 in row 5 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.
R5C1 - removing <2> from <1238> leaving <138>
R5C5 - removing <2> from <123> leaving <13>
Intersection of row 9 with block 8. The value <7> 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.
R8C5 - removing <7> from <127> leaving <12>
R9C5 is the only square in column 5 that can be <7>
Squares R6C4 and R9C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C4 - removing <12> from <1237> leaving <37>
Intersection of block 4 with column 1. The value <8> only appears in one or more of squares R4C1, R5C1 and R6C1 of block 4. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.
R8C1 - removing <8> from <12378> leaving <1237>
Squares R5C7, R5C8, R7C7 and R7C8 form a Type-3 Unique Rectangle on <24>. Upon close inspection, it is clear that:
(R7C7 or R7C8)<13> and R7C3<13> form a naked pair on <13> in row 7. No other squares in the row can contain these possibilities
R7C2 - removing <13> from <123> leaving <2>
Squares R5C9, R6C9, R5C1 and R6C1 form a Type-4 Unique Rectangle on <18>.
R5C1 - removing <1> from <138> leaving <38>
R6C1 - removing <1> from <128> leaving <28>
Intersection of block 4 with row 4. The value <1> only appears in one or more of squares R4C1, R4C2 and R4C3 of block 4. These squares are the ones that intersect with row 4. Thus, the other (non-intersecting) squares of row 4 cannot contain this value.
R4C6 - removing <1> from <127> leaving <27>
Intersection of column 6 with block 2. The value <1> 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.
R3C5 - removing <1> from <123> leaving <23>
Squares R1C2 (XY), R4C2 (XZ) and R2C1 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
R4C1 - removing <3> from <123> leaving <12>
R5C1 - removing <3> from <38> leaving <8>
R3C2 - removing <3> from <138> leaving <18>
R5C9 can only be <1>
R6C1 can only be <2>
R5C5 can only be <3>
R6C9 can only be <8>
R6C4 can only be <1>
R4C1 can only be <1>
R9C4 can only be <2>
R9C7 can only be <1>
R8C5 can only be <1>
R7C7 can only be <4>
R4C2 can only be <3>
R4C4 can only be <7>
R4C6 can only be <2>
R2C4 can only be <3>
R3C6 can only be <1>
R3C5 can only be <2>
R7C8 can only be <3>
R5C7 can only be <2>
R7C3 can only be <1>
R8C8 can only be <2>
R5C8 can only be <4>
R2C1 can only be <7>
R3C2 can only be <8>
R1C6 can only be <7>
R1C2 can only be <1>
R8C1 can only be <3>
R3C3 can only be <3>
R8C2 can only be <7>
R8C3 can only be <8>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.