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Daily Sudoku Answer 



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Jul 19 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s275864



Reasoning 



R1C4 can only be <3>

R7C3 can only be <7>

R1C6 can only be <1>

R1C2 can only be <7>

R1C8 can only be <5>

R3C3 is the only square in row 3 that can be <5>

R8C3 can only be <1>

R3C2 is the only square in row 3 that can be <2>

R2C3 can only be <9>

R5C3 can only be <2>

R5C6 is the only square in row 5 that can be <6>

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

R8C8 is the only square in row 8 that can be <2>

R8C1 is the only square in row 8 that can be <5>

R9C2 is the only square in row 9 that can be <6>

R2C2 can only be <1>

R2C1 can only be <6>

R4C2 is the only square in column 2 that can be <4>

R6C2 is the only square in column 2 that can be <9>

Squares R4C9 and R6C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C9 - removing <7> from <478> leaving <48>

R8C9 - removing <7> from <478> leaving <48>

Squares R4C9 and R6C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C8 - removing <7> from <179> leaving <19>

Intersection of row 7 with block 9. The value <9> 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.

R8C7 - removing <9> from <3789> leaving <378>

Intersection of row 9 with block 8. The value <8> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C5 - removing <8> from <348> leaving <34>

R8C4 - removing <8> from <4789> leaving <479>

R8C6 - removing <8> from <3489> leaving <349>

Intersection of column 5 with block 5. The values <17> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R4C4 - removing <7> from <5789> leaving <589>

R6C4 - removing <7> from <2578> leaving <258>

Squares R2C9<48>, R3C7<18> and R3C8<14> in block 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <148>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C7 - removing <8> from <378> leaving <37>

R2C8 - removing <4> from <347> leaving <37>

Squares R2C8 and R9C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C8 - removing <3> from <349> leaving <49>

Squares R3C5 and R3C8 in row 3 and R7C5 and R7C8 in row 7 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 5 and 8 can be removed.

R5C5 - removing <4> from <14> leaving <1>

R5C7 can only be <9>

R5C4 can only be <4>

R4C8 can only be <1>

R4C1 can only be <8>

R3C8 can only be <4>

R3C5 can only be <8>

R7C8 can only be <9>

R2C9 can only be <8>

R6C1 can only be <1>

R2C4 can only be <2>

R8C9 can only be <4>

R3C7 can only be <1>

R6C5 can only be <7>

R6C9 can only be <5>

R4C5 can only be <3>

R4C9 can only be <7>

R2C6 can only be <4>

R6C4 can only be <8>

R4C6 can only be <9>

R7C5 can only be <4>

R4C4 can only be <5>

R8C6 can only be <3>

R6C6 can only be <2>

R9C4 can only be <7>

R8C2 can only be <8>

R9C6 can only be <8>

R9C8 can only be <3>

R8C4 can only be <9>

R2C8 can only be <7>

R7C7 can only be <8>

R2C7 can only be <3>

R7C2 can only be <3>

R8C7 can only be <7>



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