Oct 03 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R1C2 is the only square in row 1 that can be <1>
R2C4 is the only square in row 2 that can be <1>
R4C6 is the only square in row 4 that can be <7>
R7C9 is the only square in row 7 that can be <1>
R4C3 is the only square in row 4 that can be <1>
R4C1 is the only square in row 4 that can be <8>
R3C1 can only be <6>
R3C2 can only be <8>
R2C2 can only be <5>
R2C3 can only be <4>
R5C7 is the only square in row 5 that can be <1>
R6C4 is the only square in row 6 that can be <8>
R7C4 is the only square in row 7 that can be <7>
R8C2 is the only square in row 8 that can be <7>
R9C4 is the only square in row 9 that can be <4>
R4C9 is the only square in column 9 that can be <2>
Intersection of row 3 with block 2. The value <9> 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.
R2C6 - removing <9> from <369> leaving <36>
Intersection of row 9 with block 7. The value <9> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R8C3 - removing <9> from <5689> leaving <568>
Intersection of column 2 with block 4. The value <6> only appears in one or more of squares R4C2, R5C2 and R6C2 of column 2. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C3 - removing <6> from <569> leaving <59>
Intersection of block 2 with column 6. The value <6> only appears in one or more of squares R1C6, R2C6 and R3C6 of block 2. These squares are the ones that intersect with column 6. Thus, the other (non-intersecting) squares of column 6 cannot contain this value.
R5C6 - removing <6> from <2469> leaving <249>
R7C6 - removing <6> from <368> leaving <38>
R8C6 - removing <6> from <3689> leaving <389>
Squares R5C2 and R5C8 in row 5 and R9C2 and R9C8 in row 9 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 2 and 8 can be removed.
R2C8 - removing <3> from <3689> leaving <689>
R6C2 - removing <3> from <369> leaving <69>
R7C8 - removing <3> from <358> leaving <58>
R8C8 - removing <3> from <2358> leaving <258>
Intersection of row 7 with block 8. The value <3> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R8C6 - removing <3> from <389> leaving <89>
Squares R6C1 and R8C1 in column 1 and R6C7 and R8C7 in column 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 6 and 8 can be removed.
R8C3 - removing <5> from <568> leaving <68>
R6C5 - removing <5> from <4569> leaving <469>
R8C8 - removing <5> from <258> leaving <28>
Squares R8C3<68>, R8C4<69> and R8C6<89> in row 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <689>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C7 - removing <8> from <2358> leaving <235>
R8C8 - removing <8> from <28> leaving <2>
R2C7 is the only square in column 7 that can be <8>
Squares R6C1 (XY), R6C9 (XZ) and R5C3 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
R5C8 - removing <9> from <3459> leaving <345>
R6C2 - removing <9> from <69> leaving <6>
Intersection of block 4 with row 5. The value <9> only appears in one or more of squares R5C1, R5C2 and R5C3 of block 4. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.
R5C4 - removing <9> from <269> leaving <26>
R5C5 - removing <9> from <4569> leaving <456>
R5C6 - removing <9> from <249> leaving <24>
Intersection of block 5 with column 5. The values <59> only appears in one or more of squares R4C5, R5C5 and R6C5 of block 5. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain these values.
R3C5 - removing <9> from <349> leaving <34>
Squares R6C9 (XY), R6C1 (XZ) and R4C8 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.
R6C7 - removing <5> from <345> leaving <34>
R6C1 is the only square in row 6 that can be <5>
R8C1 can only be <3>
R5C3 can only be <9>
R8C7 can only be <5>
R9C2 can only be <9>
R7C8 can only be <8>
R9C3 can only be <8>
R5C2 can only be <3>
R9C8 can only be <3>
R8C3 can only be <6>
R7C6 can only be <3>
R8C4 can only be <9>
R7C3 can only be <5>
R8C6 can only be <8>
R3C4 can only be <2>
R5C4 can only be <6>
R7C5 can only be <6>
R2C6 can only be <6>
R2C8 can only be <9>
R1C6 can only be <4>
R2C9 can only be <3>
R4C8 can only be <5>
R6C9 can only be <9>
R3C7 can only be <4>
R3C5 can only be <3>
R3C6 can only be <9>
R1C7 can only be <2>
R6C7 can only be <3>
R1C8 can only be <6>
R4C5 can only be <9>
R5C8 can only be <4>
R5C5 can only be <5>
R5C6 can only be <2>
R6C5 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 option – I recommend not using your browser's dark mode or extensions for BrainBashers