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Daily Sudoku Answer 



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Jul 31 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s050807



Reasoning 



R3C7 is the only square in row 3 that can be <2>

R1C5 is the only square in row 1 that can be <2>

R6C3 is the only square in row 6 that can be <4>

R1C1 is the only square in row 1 that can be <4>

R8C7 is the only square in row 8 that can be <5>

R2C3 is the only square in row 2 that can be <5>

R1C9 is the only square in row 1 that can be <5>

R4C8 is the only square in row 4 that can be <5>

R5C1 is the only square in row 5 that can be <5>

R9C1 is the only square in row 9 that can be <2>

R9C9 is the only square in row 9 that can be <4>

R4C3 is the only square in column 3 that can be <3>

R1C6 is the only square in block 2 that can be <9>

Intersection of row 3 with block 1. The values <69> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.

R1C3 - removing <6> from <167> leaving <17>

Intersection of row 7 with block 7. The values <67> only appears in one or more of squares R7C1, R7C2 and R7C3 of row 7. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.

R9C3 - removing <7> from <1789> leaving <189>

Intersection of row 7 with block 9. The value <3> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R9C7 - removing <3> from <1389> leaving <189>

Intersection of column 3 with block 7. The value <8> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C2 - removing <8> from <16789> leaving <1679>

Intersection of block 4 with column 2. The values <689> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain these values.

R3C2 - removing <69> from <1679> leaving <17>

R7C2 - removing <69> from <1679> leaving <17>

Squares R1C3 and R3C2 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R3C3 - removing <17> from <1679> leaving <69>

Squares R2C5 and R2C7 in row 2 and R4C5 and R4C7 in row 4 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 5 and 7 can be removed.

R1C7 - removing <1> from <167> leaving <67>

R5C5 - removing <1> from <13679> leaving <3679>

R7C7 - removing <1> from <1389> leaving <389>

R8C5 - removing <1> from <18> leaving <8>

R9C5 - removing <1> from <1378> leaving <378>

R9C7 - removing <1> from <189> leaving <89>

R8C3 can only be <1>

R1C3 can only be <7>

R7C2 can only be <7>

R1C7 can only be <6>

R3C2 can only be <1>

R1C4 can only be <1>

R2C7 can only be <1>

R2C5 can only be <6>

R4C7 can only be <9>

R3C9 can only be <3>

R3C8 can only be <7>

R4C2 can only be <6>

R9C7 can only be <8>

R9C3 can only be <9>

R7C7 can only be <3>

R7C9 can only be <1>

R9C4 can only be <7>

R4C5 can only be <1>

R6C8 can only be <3>

R5C6 can only be <3>

R5C8 can only be <1>

R9C6 can only be <1>

R5C9 can only be <8>

R5C2 can only be <9>

R6C7 can only be <7>

R7C8 can only be <9>

R7C1 can only be <6>

R3C3 can only be <6>

R9C5 can only be <3>

R5C4 can only be <6>

R3C1 can only be <9>

R7C3 can only be <8>

R5C5 can only be <7>

R6C2 can only be <8>

R6C5 can only be <9>



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