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Daily Sudoku Answer 



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Apr 25 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C5 can only be <6>

R9C4 can only be <6>

R9C6 can only be <7>

R1C4 can only be <2>

R8C6 can only be <9>

R2C4 can only be <3>

R8C4 can only be <1>

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

R4C1 is the only square in row 4 that can be <3>

R4C8 is the only square in row 4 that can be <5>

R7C2 is the only square in row 7 that can be <1>

R7C3 is the only square in row 7 that can be <9>

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

R8C5 is the only square in row 8 that can be <3>

R7C5 can only be <8>

R7C7 can only be <7>

R7C8 can only be <3>

R8C1 is the only square in column 1 that can be <7>

R9C8 is the only square in column 8 that can be <4>

R9C2 can only be <8>

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

Squares R3C3 and R8C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C3 - removing <45> from <2458> leaving <28>

Squares R3C8 and R6C8 in column 8 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.

R2C8 - removing <69> from <1679> leaving <17>

Intersection of row 3 with block 3. The value <6> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C7 - removing <6> from <156> leaving <15>

R2C9 - removing <6> from <679> leaving <79>

Squares R2C9 and R4C9 in column 9 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.

R6C9 - removing <9> from <689> leaving <68>

Squares R1C2, R1C6, R2C2 and R2C6 form a Type-1 Unique Rectangle on <56>.

R2C2 - removing <56> from <2456> leaving <24>

R2C6 is the only square in row 2 that can be <6>

R1C6 can only be <5>

R1C2 can only be <6>

R2C7 is the only square in row 2 that can be <5>

R3C7 can only be <6>

R3C8 can only be <9>

R8C7 can only be <8>

R3C5 can only be <4>

R6C8 can only be <6>

R2C9 can only be <7>

R6C9 can only be <8>

R6C1 can only be <4>

R8C9 can only be <6>

R5C7 can only be <1>

R2C8 can only be <1>

R4C9 can only be <9>

R3C3 can only be <5>

R2C5 can only be <9>

R4C2 can only be <7>

R5C8 can only be <7>

R5C2 can only be <2>

R6C2 can only be <9>

R2C1 can only be <8>

R2C3 can only be <2>

R2C2 can only be <4>

R5C3 can only be <8>

R8C3 can only be <4>

R8C2 can only be <5>



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