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Daily Sudoku Answer 



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Jul 15 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s183837



Reasoning 



R4C3 can only be <8>

R5C5 can only be <8>

R6C7 can only be <8>

R1C9 is the only square in row 1 that can be <8>

R1C6 is the only square in row 1 that can be <9>

R3C2 is the only square in row 3 that can be <8>

R4C1 is the only square in row 4 that can be <9>

R6C9 is the only square in row 6 that can be <5>

R7C1 is the only square in row 7 that can be <5>

R8C7 is the only square in row 8 that can be <9>

R9C6 is the only square in row 9 that can be <8>

R7C8 is the only square in row 7 that can be <8>

R9C4 is the only square in column 4 that can be <3>

R5C9 is the only square in column 9 that can be <3>

R5C8 is the only square in row 5 that can be <6>

R8C3 is the only square in row 8 that can be <6>

R8C2 is the only square in row 8 that can be <3>

R2C3 is the only square in row 2 that can be <3>

R6C3 can only be <4>

R6C1 can only be <3>

Intersection of row 9 with block 9. The values <16> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.

R7C9 - removing <6> from <246> leaving <24>

Squares R7C9 and R8C8 in block 9 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 block.

R9C7 - removing <2> from <126> leaving <16>

R9C9 - removing <24> from <1246> leaving <16>

Intersection of column 8 with block 3. The value <1> 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 <1> from <1267> leaving <267>

R2C7 - removing <1> from <127> leaving <27>

R3C9 - removing <1> from <1246> leaving <246>

Intersection of block 7 with row 9. The value <2> only appears in one or more of squares R9C1, R9C2 and R9C3 of block 7. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain this value.

R9C5 - removing <2> from <247> leaving <47>

Squares R1C3<27>, R1C4<267> and R1C7<267> in row 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <267>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C1 - removing <27> from <1247> leaving <14>

R1C5 - removing <27> from <1247> leaving <14>

Squares R1C1 and R1C5 in row 1 and R9C1 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 1 and 5 can be removed.

R2C5 - removing <4> from <1247> leaving <127>

R3C1 - removing <4> from <1247> leaving <127>

R8C5 - removing <4> from <24> leaving <2>

R8C8 can only be <4>

R7C9 can only be <2>

R4C9 can only be <1>

R4C7 can only be <2>

R9C9 can only be <6>

R9C7 can only be <1>

R3C9 can only be <4>

R3C6 can only be <6>

R2C7 can only be <7>

R2C5 can only be <1>

R1C7 can only be <6>

R7C6 can only be <4>

R7C2 can only be <7>

R9C5 can only be <7>

R9C3 can only be <2>

R7C4 can only be <6>

R2C2 can only be <4>

R2C8 can only be <2>

R1C5 can only be <4>

R3C8 can only be <1>

R5C2 can only be <1>

R9C1 can only be <4>

R1C3 can only be <7>

R1C4 can only be <2>

R3C1 can only be <2>

R3C4 can only be <7>

R1C1 can only be <1>

R5C1 can only be <7>



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