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Daily Sudoku Answer 



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Sep 07 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C6 can only be <8>

R5C1 can only be <1>

R3C1 can only be <4>

R7C1 can only be <8>

R1C8 is the only square in row 1 that can be <8>

R2C8 is the only square in row 2 that can be <2>

R2C5 is the only square in row 2 that can be <4>

R6C6 is the only square in row 6 that can be <4>

R6C5 is the only square in row 6 that can be <1>

R8C2 is the only square in row 8 that can be <4>

R8C8 is the only square in row 8 that can be <7>

R8C5 is the only square in row 8 that can be <8>

R9C2 is the only square in row 9 that can be <2>

R3C6 is the only square in column 6 that can be <1>

Intersection of column 8 with block 9. The value <1> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. 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 <1> from <1359> leaving <359>

Squares R5C3 and R8C3 in column 3 and R5C7 and R8C7 in column 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 5 and 8 can be removed.

R5C5 - removing <6> from <3569> leaving <359>

R5C9 - removing <6> from <356> leaving <35>

R4C5 is the only square in column 5 that can be <6>

Squares R4C8 and R5C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C7 - removing <35> from <3569> leaving <69>

R6C8 - removing <3> from <369> leaving <69>

Squares R5C7 and R8C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C7 - removing <9> from <359> leaving <35>

Squares R2C3 and R5C3 in column 3, R5C5 and R9C5 in column 5 and R2C7 and R9C7 in column 7 form a Swordfish pattern on possibility <3>. All other instances of this possibility in rows 2, 5 and 9 can be removed.

R2C2 - removing <3> from <135> leaving <15>

R5C4 - removing <3> from <23579> leaving <2579>

R9C8 - removing <3> from <1359> leaving <159>

R5C9 - removing <3> from <35> leaving <5>

R4C8 can only be <3>

R4C2 can only be <7>

R4C4 can only be <5>

R3C4 can only be <9>

R6C4 can only be <3>

R1C5 can only be <5>

R6C2 can only be <6>

R7C4 can only be <2>

R5C5 can only be <9>

R7C6 can only be <9>

R5C4 can only be <7>

R5C6 can only be <2>

R9C5 can only be <3>

R9C7 can only be <5>

R1C7 can only be <1>

R1C2 can only be <9>

R2C7 can only be <3>

R2C3 can only be <1>

R3C9 can only be <6>

R3C8 can only be <5>

R7C9 can only be <3>

R5C7 can only be <6>

R5C3 can only be <3>

R8C7 can only be <9>

R6C8 can only be <9>

R7C2 can only be <1>

R9C8 can only be <1>

R7C8 can only be <6>

R2C2 can only be <5>

R9C3 can only be <9>

R8C3 can only be <6>

R1C3 can only be <7>

R3C2 can only be <3>



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