Jun 14 - Very Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R8C2 can only be <9>
R8C8 can only be <7>
R8C7 can only be <6>
R8C3 can only be <4>
R3C1 is the only square in row 3 that can be <4>
R4C6 is the only square in row 4 that can be <1>
R4C5 is the only square in row 4 that can be <6>
R7C5 can only be <4>
R9C4 can only be <8>
R9C6 can only be <6>
R4C9 is the only square in row 4 that can be <7>
R3C7 is the only square in row 3 that can be <7>
R5C4 is the only square in row 5 that can be <4>
R5C5 is the only square in row 5 that can be <7>
R9C9 is the only square in row 9 that can be <4>
R9C1 is the only square in row 9 that can be <7>
Squares R2C2 and R2C8 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C3 - removing <5> from <259> leaving <29>
R2C7 - removing <58> from <2589> leaving <29>
Intersection of column 3 with block 1. The value <9> only appears in one or more of squares R1C3, R2C3 and R3C3 of column 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <9> from <2569> leaving <256>
Intersection of block 2 with row 1. The value <9> only appears in one or more of squares R1C4, R1C5 and R1C6 of block 2. These squares are the ones that intersect with row 1. Thus, the other (non-intersecting) squares of row 1 cannot contain this value.
R1C3 - removing <9> from <12569> leaving <1256>
R1C7 - removing <9> from <2359> leaving <235>
R1C9 - removing <9> from <159> leaving <15>
Squares R5C3 and R5C7 in row 5 and R9C3 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 7 can be removed.
R1C3 - removing <5> from <1256> leaving <126>
R1C7 - removing <5> from <235> leaving <23>
R7C3 - removing <5> from <1356> leaving <136>
R7C7 - removing <5> from <3589> leaving <389>
Squares R1C4<39>, R1C6<29> and R1C7<23> in row 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <239>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C1 - removing <2> from <256> leaving <56>
R1C3 - removing <2> from <126> leaving <16>
R6C1 is the only square in column 1 that can be <2>
R6C5 can only be <3>
R5C3 can only be <5>
R3C5 can only be <2>
R1C6 can only be <9>
R5C7 can only be <8>
R9C3 can only be <3>
R4C1 can only be <9>
R5C6 can only be <2>
R6C9 can only be <5>
R6C4 can only be <9>
R1C9 can only be <1>
R9C7 can only be <5>
R1C4 can only be <3>
R6C6 can only be <8>
R1C3 can only be <6>
R4C4 can only be <5>
R1C1 can only be <5>
R7C3 can only be <1>
R1C7 can only be <2>
R2C7 can only be <9>
R2C3 can only be <2>
R7C7 can only be <3>
R3C9 can only be <8>
R3C2 can only be <1>
R3C8 can only be <3>
R7C9 can only be <9>
R2C8 can only be <5>
R7C2 can only be <5>
R3C3 can only be <9>
R7C8 can only be <8>
R7C1 can only be <6>
R2C2 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.