Sep 03 - Super Hard
Puzzle Copyright © Kevin Stone
Share link – www.brainbashers.com
Reasoning
R1C2 can only be <5>
R1C9 can only be <3>
R1C7 can only be <9>
R2C6 is the only square in row 2 that can be <9>
R6C7 is the only square in row 6 that can be <5>
R3C9 is the only square in row 3 that can be <5>
R8C4 is the only square in row 8 that can be <9>
R8C9 is the only square in row 8 that can be <4>
R9C3 is the only square in row 9 that can be <9>
R7C3 is the only square in column 3 that can be <5>
R5C5 is the only square in column 5 that can be <1>
R5C6 is the only square in row 5 that can be <5>
R9C5 is the only square in row 9 that can be <5>
R3C5 is the only square in column 5 that can be <3>
Squares R9C1 and R9C8 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C9 - removing <6> from <267> leaving <27>
Intersection of row 6 with block 4. The value <2> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <2> from <234678> leaving <34678>
R5C3 - removing <2> from <2347> leaving <347>
Intersection of column 2 with block 4. The values <69> 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 these values.
R5C1 - removing <6> from <34678> leaving <3478>
Intersection of column 3 with block 4. The value <3> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <3> from <3478> leaving <478>
R6C1 - removing <3> from <1237> leaving <127>
Intersection of block 7 with column 1. The values <136> only appears in one or more of squares R7C1, R8C1 and R9C1 of block 7. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain these values.
R2C1 - removing <1> from <178> leaving <78>
R6C1 - removing <1> from <127> leaving <27>
Squares R2C1<78>, R2C3<17> and R3C2<18> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <178>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C1 - removing <7> from <247> leaving <24>
R3C3 - removing <1> from <124> leaving <24>
Intersection of row 1 with block 2. The value <7> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C5 - removing <7> from <678> leaving <68>
Squares R9C1, R9C8, R7C1 and R7C8 form a Type-2 Unique Rectangle on <36>.
R7C7 - removing <1> from <1367> leaving <367>
Squares R1C1 (XY), R6C1 (XZ) and R1C4 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
R6C4 - removing <7> from <37> leaving <3>
Squares R6C2 and R6C8 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R6C3 - removing <1> from <127> leaving <27>
Squares R6C1 and R6C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C3 - removing <7> from <1347> leaving <134>
R5C1 - removing <7> from <478> leaving <48>
R5C3 - removing <7> from <347> leaving <34>
Squares R2C3 and R4C3 in column 3 and R2C9 and R4C9 in column 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in rows 2 and 4 can be removed.
R4C2 - removing <1> from <168> leaving <68>
R4C7 - removing <1> from <1367> leaving <367>
R4C8 - removing <1> from <1346> leaving <346>
Squares R3C2 (XY), R3C7 (XZ) and R4C2 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
R4C7 - removing <6> from <367> leaving <37>
Squares R5C4 (XY), R1C4 (XZ) and R5C1 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.
R1C1 - removing <4> from <24> leaving <2>
R1C5 can only be <7>
R6C1 can only be <7>
R3C3 can only be <4>
R1C4 can only be <4>
R5C3 can only be <3>
R4C3 can only be <1>
R6C3 can only be <2>
R2C1 can only be <8>
R2C5 can only be <6>
R5C1 can only be <4>
R3C2 can only be <1>
R2C9 can only be <1>
R7C5 can only be <8>
R8C5 can only be <2>
R3C4 can only be <8>
R2C3 can only be <7>
R3C7 can only be <6>
R6C2 can only be <9>
R3C6 can only be <2>
R5C4 can only be <7>
R9C6 can only be <7>
R5C7 can only be <2>
R7C4 can only be <6>
R4C6 can only be <8>
R5C9 can only be <6>
R8C7 can only be <1>
R5C8 can only be <9>
R4C9 can only be <7>
R6C8 can only be <1>
R5C2 can only be <8>
R7C8 can only be <3>
R7C1 can only be <1>
R7C7 can only be <7>
R4C8 can only be <4>
R9C8 can only be <6>
R8C1 can only be <6>
R9C9 can only be <2>
R7C6 can only be <4>
R9C1 can only be <3>
R4C2 can only be <6>
R4C7 can only be <3>
Today's Sudoku Puzzles
All daily items change at midnight GMT – set your local time zone.
Note: BrainBashers has a Dark Mode setting.