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Daily Sudoku Answer 



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Oct 15 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s075130



Reasoning 



R7C9 can only be <5>

R9C9 can only be <1>

R3C9 can only be <2>

R1C9 can only be <8>

R4C7 is the only square in row 4 that can be <2>

R5C7 is the only square in row 5 that can be <8>

R7C6 is the only square in row 7 that can be <8>

R7C3 is the only square in row 7 that can be <4>

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

R8C7 is the only square in column 7 that can be <9>

Squares R1C2 and R1C8 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C1 - removing <3> from <39> leaving <9>

R1C4 - removing <36> from <23679> leaving <279>

R1C5 - removing <36> from <34679> leaving <479>

R1C6 - removing <6> from <24679> leaving <2479>

Squares R4C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C5 - removing <7> from <47> leaving <4>

R8C5 - removing <7> from <4567> leaving <456>

R9C5 - removing <79> from <35679> leaving <356>

R8C6 is the only square in row 8 that can be <4>

Squares R4C5 and R6C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C4 - removing <7> from <167> leaving <16>

R5C6 - removing <7> from <167> leaving <16>

Squares R2C6 and R5C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C6 - removing <16> from <169> leaving <9>

R9C6 - removing <6> from <2679> leaving <279>

R9C4 is the only square in row 9 that can be <9>

R9C6 is the only square in row 9 that can be <2>

R1C6 can only be <7>

R1C4 can only be <2>

Intersection of row 2 with block 2. The value <5> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.

R3C4 - removing <5> from <1356> leaving <136>

Intersection of column 1 with block 7. The value <7> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R8C3 - removing <7> from <567> leaving <56>

R8C4 is the only square in row 8 that can be <7>

R2C4 is the only square in column 4 that can be <5>

Squares R1C2 and R9C2 in column 2 and R1C8 and R9C8 in column 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 1 and 9 can be removed.

R9C5 - removing <6> from <356> leaving <35>

Squares R4C3, R4C5, R6C3 and R6C5 form a Type-1 Unique Rectangle on <79>.

R6C3 - removing <79> from <379> leaving <3>

R6C7 can only be <7>

R5C2 can only be <5>

R6C5 can only be <9>

R7C7 can only be <6>

R5C8 can only be <3>

R7C4 can only be <3>

R9C8 can only be <7>

R5C3 can only be <7>

R4C3 can only be <9>

R1C8 can only be <6>

R4C5 can only be <7>

R7C1 can only be <7>

R9C5 can only be <5>

R9C1 can only be <3>

R8C5 can only be <6>

R1C2 can only be <3>

R8C3 can only be <5>

R2C5 can only be <3>

R9C2 can only be <6>

R3C1 can only be <5>

R2C7 can only be <1>

R2C6 can only be <6>

R3C7 can only be <3>

R3C3 can only be <6>

R3C4 can only be <1>

R5C4 can only be <6>

R5C6 can only be <1>



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