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Daily Sudoku Answer 



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Jul 29 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s286558



Reasoning 



R5C5 can only be <8>

R5C7 is the only square in row 5 that can be <3>

R4C2 is the only square in row 4 that can be <3>

R5C3 is the only square in row 5 that can be <6>

R6C9 is the only square in row 6 that can be <7>

R6C8 is the only square in column 8 that can be <6>

R2C7 is the only square in column 7 that can be <6>

R2C6 is the only square in row 2 that can be <2>

R4C8 is the only square in column 8 that can be <8>

Squares R1C6 and R2C4 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C4 - removing <18> from <1568> leaving <56>

R3C4 - removing <1> from <135> leaving <35>

R3C6 - removing <1> from <1379> leaving <379>

Squares R1C4 and R1C5 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C1 - removing <5> from <1458> leaving <148>

R3C3 is the only square in block 1 that can be <5>

R3C4 can only be <3>

R8C6 is the only square in row 8 that can be <3>

Squares R5C1 and R5C9 in row 5 and R9C1 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 1 and 9 can be removed.

R4C1 - removing <2> from <245> leaving <45>

R4C9 - removing <2> from <245> leaving <45>

Squares R4C1 and R4C9 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C3 - removing <4> from <249> leaving <29>

R4C7 - removing <45> from <2459> leaving <29>

R7C7 is the only square in column 7 that can be <5>

Squares R1C1 and R1C9 in row 1 and R4C1 and R4C9 in row 4 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 1 and 9 can be removed.

R6C1 - removing <4> from <148> leaving <18>

R9C1 - removing <4> from <124> leaving <12>

R9C9 - removing <4> from <124> leaving <12>

R9C4 is the only square in row 9 that can be <4>

R9C5 is the only square in row 9 that can be <5>

R1C5 can only be <6>

R1C4 can only be <5>

R7C5 can only be <7>

R3C5 can only be <9>

R3C6 can only be <7>

R7C4 is the only square in row 7 that can be <6>

R9C6 is the only square in row 9 that can be <9>

Squares R2C3 and R2C4 in row 2 and R8C3 and R8C4 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 4 can be removed.

R6C3 - removing <8> from <1489> leaving <149>

R7C3 - removing <8> from <1248> leaving <124>

Squares R2C3 and R7C6 form a remote naked pair. <18> can be removed from any square that is common to their groups.

R7C3 - removing <1> from <124> leaving <24>

Squares R7C3 and R7C8 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C2 - removing <4> from <148> leaving <18>

Intersection of block 7 with column 3. The value <4> only appears in one or more of squares R7C3, R8C3 and R9C3 of block 7. These squares are the ones that intersect with column 3. Thus, the other (non-intersecting) squares of column 3 cannot contain this value.

R6C3 - removing <4> from <149> leaving <19>

Squares R1C9 (XY), R9C9 (XZ) and R3C8 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.

R7C8 - removing <2> from <24> leaving <4>

R7C3 can only be <2>

R3C8 can only be <2>

R8C7 can only be <1>

R8C4 can only be <8>

R9C9 can only be <2>

R9C1 can only be <1>

R5C9 can only be <5>

R3C7 can only be <4>

R5C1 can only be <2>

R4C9 can only be <4>

R4C3 can only be <9>

R8C3 can only be <4>

R2C4 can only be <1>

R7C6 can only be <1>

R6C1 can only be <8>

R7C2 can only be <8>

R2C3 can only be <8>

R1C6 can only be <8>

R3C2 can only be <1>

R6C7 can only be <9>

R1C9 can only be <1>

R4C7 can only be <2>

R6C3 can only be <1>

R4C1 can only be <5>

R1C1 can only be <4>

R6C2 can only be <4>



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