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Daily Sudoku Answer 



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Jul 05 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s050636



Reasoning 



R5C5 can only be <7>

R8C2 can only be <5>

R9C1 can only be <2>

R9C9 can only be <4>

R8C5 can only be <8>

R8C8 can only be <3>

R9C4 can only be <9>

R7C3 can only be <7>

R1C9 can only be <9>

R7C7 can only be <5>

Squares R3C6 and R7C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C6 - removing <4> from <456> leaving <56>

R2C6 - removing <4> from <147> leaving <17>

Squares R3C7 and R6C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R4C7 - removing <4> from <469> leaving <69>

R5C7 - removing <8> from <689> leaving <69>

Squares R1C4<68>, R2C4<78> and R8C4<67> in column 4 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <678>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C4 - removing <8> from <238> leaving <23>

Squares R6C1<478>, R6C2<34>, R6C7<48> and R6C9<37> in row 6 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <3478>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C3 - removing <8> from <258> leaving <25>

R6C8 - removing <48> from <2458> leaving <25>

Squares R4C2<469>, R4C3<29>, R4C7<69> and R4C8<24> in row 4 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <2469>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C1 - removing <4> from <147> leaving <17>

Squares R4C7, R5C7, R4C2 and R5C2 form a Type-3 Unique Rectangle on <69>. Upon close inspection, it is clear that:

(R4C2 or R5C2)<34> and R6C2<34> form a naked pair on <34> in block 4. No other squares in the block can contain these possibilities

R6C1 - removing <4> from <478> leaving <78>

(R4C2 or R5C2)<34>, R6C2<34>, R6C1<478>, R5C1<18> and R4C1<17> form a naked set on <13478> in block 4. No other squares in the block can contain these possibilities

R5C3 - removing <8> from <589> leaving <59>

(R4C2 or R5C2)<34> and R6C2<34> form a naked pair on <34> in column 2. No other squares in the column can contain these possibilities

R2C2 - removing <4> from <49> leaving <9>

R3C3 can only be <8>

R3C7 can only be <4>

R1C1 can only be <4>

R3C6 can only be <3>

R6C7 can only be <8>

R2C8 can only be <8>

R6C1 can only be <7>

R5C8 can only be <5>

R1C5 can only be <5>

R1C6 can only be <6>

R9C5 can only be <1>

R1C4 can only be <8>

R8C6 can only be <7>

R2C4 can only be <7>

R3C4 can only be <2>

R7C6 can only be <4>

R5C3 can only be <9>

R6C8 can only be <2>

R6C9 can only be <3>

R4C1 can only be <1>

R6C3 can only be <5>

R4C8 can only be <4>

R6C2 can only be <4>

R5C9 can only be <1>

R7C5 can only be <2>

R8C4 can only be <6>

R2C6 can only be <1>

R9C6 can only be <5>

R2C5 can only be <4>

R3C5 can only be <9>

R7C4 can only be <3>

R4C9 can only be <7>

R5C1 can only be <8>

R4C2 can only be <6>

R5C7 can only be <6>

R4C3 can only be <2>

R5C2 can only be <3>

R4C7 can only be <9>



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