May 19 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R3C9 is the only square in row 3 that can be <4>
R8C5 is the only square in row 8 that can be <9>
R4C7 is the only square in row 4 that can be <9>
R7C1 is the only square in row 7 that can be <9>
R8C3 is the only square in row 8 that can be <4>
R5C6 is the only square in column 6 that can be <6>
R5C4 is the only square in row 5 that can be <9>
R1C6 is the only square in row 1 that can be <9>
R9C4 is the only square in column 4 that can be <4>
Squares R5C2, R5C8 and R5C9 in row 5 form a simple naked triplet. These 3 squares all contain the 3 possibilities <138>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C1 - removing <13> from <1345> leaving <45>
Intersection of row 7 with block 9. The value <6> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R9C7 - removing <6> from <1268> leaving <128>
R9C9 - removing <6> from <123678> leaving <12378>
Intersection of row 8 with block 9. The value <1> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R9C7 - removing <1> from <128> leaving <28>
R9C9 - removing <1> from <12378> leaving <2378>
Intersection of block 5 with column 5. The values <245> 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.
R1C5 - removing <5> from <1358> leaving <138>
R2C5 - removing <25> from <1235> leaving <13>
R9C5 - removing <2> from <128> leaving <18>
R2C2 is the only square in row 2 that can be <2>
Squares R9C5<18>, R9C6<12> and R9C7<28> in row 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <128>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C3 - removing <8> from <3678> leaving <367>
R9C9 - removing <28> from <2378> leaving <37>
R4C3 is the only square in column 3 that can be <8>
Squares R5C2 and R7C2 in column 2 and R5C8 and R7C8 in column 8 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in rows 5 and 7 can be removed.
R5C9 - removing <3> from <138> leaving <18>
R7C9 - removing <3> from <2368> leaving <268>
Squares R3C2 and R8C2 in column 2 and R3C8 and R8C8 in column 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 3 and 8 can be removed.
R3C1 - removing <7> from <157> leaving <15>
Squares R5C2 (XY), R5C9 (XZ) and R7C2 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.
R7C9 - removing <8> from <268> leaving <26>
Squares R6C1 (XYZ), R6C3 (XZ) and R3C1 (YZ) form an XYZ-Wing pattern on <5>. All squares that are buddies of all three squares cannot be <5>.
R5C1 - removing <5> from <45> leaving <4>
R5C5 can only be <5>
R4C1 can only be <3>
R6C5 can only be <2>
R4C5 can only be <4>
R4C9 can only be <2>
R5C2 can only be <1>
R7C9 can only be <6>
R5C9 can only be <8>
R3C2 can only be <7>
R5C8 can only be <3>
R6C9 can only be <1>
R8C2 can only be <8>
R7C8 can only be <8>
R6C7 can only be <6>
R1C9 can only be <7>
R7C2 can only be <3>
R3C8 can only be <1>
R8C7 can only be <1>
R9C7 can only be <2>
R8C8 can only be <7>
R9C9 can only be <3>
R9C6 can only be <1>
R3C1 can only be <5>
R2C8 can only be <6>
R2C7 can only be <5>
R9C5 can only be <8>
R1C7 can only be <8>
R2C3 can only be <3>
R3C6 can only be <2>
R6C1 can only be <7>
R3C4 can only be <8>
R7C6 can only be <5>
R6C3 can only be <5>
R9C1 can only be <6>
R7C4 can only be <2>
R9C3 can only be <7>
R1C1 can only be <1>
R1C5 can only be <3>
R1C3 can only be <6>
R2C5 can only be <1>
R1C4 can only be <5>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.