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Daily Sudoku Answer 



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Jun 20 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s111725



Reasoning 



R1C5 can only be <2>

R4C4 can only be <8>

R4C6 can only be <9>

R5C1 can only be <1>

R5C6 can only be <2>

R5C9 can only be <5>

R6C4 can only be <1>

R6C5 can only be <5>

R6C6 can only be <6>

R8C2 can only be <3>

R9C5 can only be <8>

R4C5 can only be <7>

R5C4 can only be <3>

R5C5 can only be <4>

R8C8 can only be <1>

R9C3 can only be <5>

R2C2 is the only square in row 2 that can be <5>

R3C7 is the only square in row 3 that can be <4>

R9C1 is the only square in row 9 that can be <4>

Squares R9C2 and R9C7 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C8 - removing <6> from <369> leaving <39>

R9C9 - removing <7> from <379> leaving <39>

Squares R7C3 and R8C1 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C1 - removing <28> from <2678> leaving <67>

Intersection of column 8 with block 3. The value <6> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C7 - removing <6> from <678> leaving <78>

Squares R2C1 and R2C9 in row 2 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 9 can be removed.

R1C1 - removing <8> from <3678> leaving <367>

R1C9 - removing <8> from <13789> leaving <1379>

R7C9 - removing <8> from <278> leaving <27>

Squares R9C8, R9C9, R1C8 and R1C9 form a Type-3 Unique Rectangle on <39>. Upon close inspection, it is clear that:

(R1C8 or R1C9)<167>, R1C7<78>, R1C3<18> and R1C2<67> form a naked quad on <1678> in row 1. No other squares in the row can contain these possibilities

R1C1 - removing <67> from <367> leaving <3>

Squares R1C2 (XY), R2C1 (XZ) and R1C7 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R1C3 - removing <8> from <18> leaving <1>

R2C9 - removing <8> from <38> leaving <3>

R3C3 can only be <2>

R2C8 can only be <6>

R9C9 can only be <9>

R3C1 can only be <7>

R7C3 can only be <8>

R8C1 can only be <2>

R8C9 can only be <8>

R9C8 can only be <3>

R1C9 can only be <7>

R1C2 can only be <6>

R1C7 can only be <8>

R3C9 can only be <1>

R7C9 can only be <2>

R2C1 can only be <8>

R1C8 can only be <9>

R7C1 can only be <6>

R7C7 can only be <7>

R9C2 can only be <7>

R9C7 can only be <6>



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