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Daily Sudoku Answer 



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Oct 18 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s046934



Reasoning 



R4C8 is the only square in row 4 that can be <1>

R7C1 is the only square in row 7 that can be <4>

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

R7C9 is the only square in row 7 that can be <1>

R8C2 is the only square in column 2 that can be <1>

R3C5 is the only square in column 5 that can be <5>

R9C7 is the only square in column 7 that can be <9>

Intersection of row 4 with block 5. The value <4> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R6C4 - removing <4> from <24679> leaving <2679>

R6C6 - removing <4> from <349> leaving <39>

Intersection of row 5 with block 4. The value <9> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R6C2 - removing <9> from <679> leaving <67>

Squares R4C2 and R6C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C2 - removing <6> from <468> leaving <48>

R3C2 - removing <7> from <4789> leaving <489>

R5C2 - removing <67> from <679> leaving <9>

Squares R1C2 and R3C2 in block 1 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 block.

R1C1 - removing <8> from <2368> leaving <236>

R2C1 - removing <8> from <26789> leaving <2679>

R3C1 - removing <8> from <2789> leaving <279>

Squares R4C2 and R6C2 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C1 - removing <67> from <23567> leaving <235>

R4C3 - removing <67> from <23567> leaving <235>

R5C1 - removing <67> from <367> leaving <3>

R1C3 is the only square in row 1 that can be <3>

Squares R4C1 and R4C3 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C4 - removing <2> from <2467> leaving <467>

R4C5 - removing <2> from <236> leaving <36>

Squares R5C8 and R5C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R6C7 - removing <6> from <3456> leaving <345>

R6C8 - removing <67> from <567> leaving <5>

R6C9 - removing <67> from <34567> leaving <345>

R1C7 is the only square in column 7 that can be <5>

Squares R6C7 and R6C9 in row 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 row.

R6C5 - removing <3> from <2369> leaving <269>

R6C6 - removing <3> from <39> leaving <9>

R4C6 is the only square in column 6 that can be <3>

R4C5 can only be <6>

R4C2 can only be <7>

R6C5 can only be <2>

R6C4 can only be <7>

R4C4 can only be <4>

R6C2 can only be <6>

Intersection of row 7 with block 9. The value <6> 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.

R8C9 - removing <6> from <3568> leaving <358>

R9C8 - removing <6> from <268> leaving <28>

R9C9 - removing <6> from <2568> leaving <258>

Intersection of column 3 with block 7. The value <6> 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.

R8C1 - removing <6> from <568> leaving <58>

R9C1 - removing <6> from <5678> leaving <578>

Squares R3C1<279>, R3C3<27> and R3C4<29> in row 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <279>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C9 - removing <27> from <2478> leaving <48>

Intersection of row 3 with block 1. The value <7> 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 this value.

R2C1 - removing <7> from <2679> leaving <269>

Squares R3C2, R3C9, R1C2 and R1C9 form a Type-1 Unique Rectangle on <48>.

R1C9 - removing <48> from <2468> leaving <26>

Squares R1C1 and R1C9 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C4 - removing <2> from <12> leaving <1>

R9C4 can only be <6>

R8C4 can only be <9>

R3C4 can only be <2>

R3C3 can only be <7>

R3C1 can only be <9>

R9C3 can only be <5>

R4C3 can only be <2>

R8C3 can only be <6>

R8C1 can only be <8>

R4C1 can only be <5>

R8C5 can only be <3>

R9C1 can only be <7>

R8C9 can only be <5>

R7C5 can only be <8>

R7C8 can only be <6>

R2C5 can only be <9>

R9C6 can only be <1>

R7C7 can only be <3>

R5C8 can only be <7>

R5C9 can only be <6>

R1C9 can only be <2>

R6C7 can only be <4>

R1C1 can only be <6>

R9C9 can only be <8>

R2C8 can only be <8>

R2C6 can only be <4>

R9C8 can only be <2>

R3C9 can only be <4>

R3C2 can only be <8>

R2C9 can only be <7>

R6C9 can only be <3>

R2C7 can only be <6>

R2C1 can only be <2>

R1C6 can only be <8>

R1C2 can only be <4>



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