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Daily Sudoku Answer 



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Sep 25 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C1 is the only square in row 3 that can be <5>

R3C9 is the only square in row 3 that can be <3>

R3C6 is the only square in row 3 that can be <8>

R4C4 is the only square in row 4 that can be <7>

R3C4 can only be <9>

R3C5 can only be <7>

R1C1 is the only square in row 1 that can be <7>

R4C3 is the only square in row 4 that can be <8>

R7C9 is the only square in row 7 that can be <6>

R2C4 is the only square in row 2 that can be <6>

R7C1 is the only square in row 7 that can be <8>

R8C1 can only be <3>

R8C4 can only be <1>

R9C1 can only be <4>

R8C6 can only be <2>

R8C9 can only be <8>

R9C2 can only be <5>

R9C3 can only be <6>

R9C5 can only be <9>

R1C7 is the only square in row 1 that can be <8>

R1C8 is the only square in row 1 that can be <6>

R6C7 is the only square in row 6 that can be <6>

R6C2 is the only square in row 6 that can be <4>

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

Squares R1C9 and R2C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C9 - removing <9> from <129> leaving <12>

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.

R6C3 - removing <9> from <359> leaving <35>

Squares R6C3 and R6C4 in row 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 row.

R6C6 - removing <3> from <139> leaving <19>

R6C8 - removing <3> from <139> leaving <19>

Squares R6C6, R6C8, R4C6 and R4C8 form a Type-2 Unique Rectangle on <19>.

R4C2 - removing <3> from <13> leaving <1>

R1C2 can only be <3>

R5C1 can only be <9>

R2C1 can only be <1>

R1C3 can only be <9>

R1C9 can only be <4>

R1C5 can only be <1>

R2C9 can only be <9>

R2C6 can only be <4>

R7C6 can only be <3>

R7C4 can only be <5>

R4C6 can only be <9>

R5C5 can only be <5>

R4C8 can only be <3>

R6C6 can only be <1>

R9C8 can only be <1>

R5C7 can only be <2>

R5C3 can only be <3>

R7C5 can only be <4>

R6C4 can only be <3>

R5C9 can only be <1>

R9C7 can only be <3>

R9C9 can only be <2>

R6C8 can only be <9>

R6C3 can only be <5>



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