Mar 18 - Very Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R6C7 can only be <9>
R8C7 can only be <8>
R3C2 is the only square in row 3 that can be <3>
R4C9 is the only square in row 4 that can be <8>
R5C9 is the only square in row 5 that can be <3>
R4C7 can only be <6>
R4C5 can only be <7>
R4C1 can only be <5>
R4C3 can only be <3>
R5C6 is the only square in row 5 that can be <5>
R6C3 is the only square in row 6 that can be <4>
R9C7 is the only square in row 9 that can be <3>
R9C1 is the only square in row 9 that can be <6>
R7C8 is the only square in row 7 that can be <6>
R7C1 is the only square in column 1 that can be <8>
R1C1 is the only square in column 1 that can be <1>
Squares R1C7 and R2C7 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C9 - removing <5> from <4579> leaving <479>
Intersection of row 8 with block 7. The value <7> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R9C3 - removing <7> from <157> leaving <15>
Intersection of column 3 with block 1. The value <2> 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.
R3C1 - removing <2> from <279> leaving <79>
Intersection of row 3 with block 2. The value <2> 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.
R1C4 - removing <2> from <2679> leaving <679>
R1C5 - removing <2> from <2469> leaving <469>
R1C6 - removing <2> from <247> leaving <47>
R2C5 - removing <2> from <289> leaving <89>
Intersection of column 5 with block 5. The value <2> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C4 - removing <2> from <126> leaving <16>
Squares R1C4<679>, R1C5<469>, R1C6<47> and R1C9<479> in row 1 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <4679>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C3 - removing <7> from <257> leaving <25>
Squares R1C3, R1C7, R2C3 and R2C7 form a Type-1 Unique Rectangle on <25>.
R2C3 - removing <25> from <257> leaving <7>
R8C3 can only be <1>
R3C1 can only be <9>
R2C2 can only be <5>
R8C8 can only be <9>
R9C3 can only be <5>
R8C5 can only be <4>
R2C8 can only be <8>
R9C9 can only be <1>
R1C3 can only be <2>
R7C2 can only be <4>
R6C9 can only be <7>
R7C9 can only be <5>
R1C7 can only be <5>
R2C7 can only be <2>
R2C5 can only be <9>
R3C8 can only be <7>
R3C4 can only be <2>
R3C9 can only be <4>
R5C8 can only be <1>
R1C9 can only be <9>
R5C4 can only be <6>
R6C1 can only be <2>
R7C6 can only be <2>
R8C2 can only be <7>
R7C4 can only be <1>
R3C6 can only be <8>
R5C2 can only be <9>
R1C5 can only be <6>
R9C5 can only be <8>
R9C6 can only be <7>
R5C5 can only be <2>
R1C4 can only be <7>
R5C1 can only be <7>
R6C5 can only be <1>
R9C4 can only be <9>
R1C6 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.