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Daily Sudoku Answer 



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Oct 24 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R7C3 can only be <9>

R8C3 can only be <2>

R2C1 is the only square in row 2 that can be <4>

R6C6 is the only square in row 6 that can be <1>

R2C4 is the only square in row 2 that can be <1>

R5C3 is the only square in row 5 that can be <1>

R8C9 is the only square in row 8 that can be <1>

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

R5C2 is the only square in block 4 that can be <3>

Squares R2C3 and R3C3 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C1 - removing <7> from <26789> leaving <2689>

Intersection of row 1 with block 1. The value <2> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C2 - removing <2> from <268> leaving <68>

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

R8C7 - removing <7> from <678> leaving <68>

R8C8 - removing <7> from <4679> leaving <469>

Intersection of column 7 with block 3. The value <3> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C8 - removing <3> from <2367> leaving <267>

R3C9 - removing <3> from <3678> leaving <678>

Intersection of column 9 with block 6. The values <45> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R5C8 - removing <4> from <246> leaving <26>

Squares R5C7 and R5C8 in row 5 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.

R5C1 - removing <2> from <259> leaving <59>

R5C4 - removing <6> from <4689> leaving <489>

R5C9 - removing <6> from <456> leaving <45>

R1C4 is the only square in column 4 that can be <6>

R9C1 is the only square in column 1 that can be <6>

R8C4 is the only square in column 4 that can be <7>

R6C5 is the only square in column 5 that can be <6>

R4C5 is the only square in column 5 that can be <2>

R1C2 is the only square in column 2 that can be <2>

R6C1 is the only square in column 1 that can be <2>

R4C1 is the only square in column 1 that can be <7>

R3C9 is the only square in column 9 that can be <6>

R2C2 is the only square in row 2 that can be <6>

Squares R3C2 and R3C5 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C7 - removing <8> from <378> leaving <37>

Squares R3C3, R3C7, R2C3 and R2C7 form a Type-1 Unique Rectangle on <37>.

R2C7 - removing <37> from <2378> leaving <28>

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

R3C3 can only be <7>

R3C7 can only be <3>

R7C7 is the only square in column 7 that can be <7>

R7C8 can only be <4>

R8C5 is the only square in row 8 that can be <4>

R3C5 is the only square in column 5 that can be <9>

R3C2 can only be <8>

R8C2 can only be <5>

R1C1 can only be <9>

R4C2 can only be <9>

R7C1 can only be <8>

R5C1 can only be <5>

R4C4 can only be <4>

R4C9 can only be <5>

R5C9 can only be <4>

R7C5 can only be <5>

R2C5 can only be <8>

R2C7 can only be <2>

R1C6 can only be <7>

R2C8 can only be <7>

R5C7 can only be <6>

R2C6 can only be <5>

R6C8 can only be <3>

R1C9 can only be <8>

R5C8 can only be <2>

R8C7 can only be <8>

R6C9 can only be <7>

R9C8 can only be <9>

R8C6 can only be <9>

R9C9 can only be <3>

R9C4 can only be <8>

R8C8 can only be <6>

R5C6 can only be <8>

R5C4 can only be <9>



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