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Daily Sudoku Answer 



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Jul 28 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R9C4 can only be <3>

R1C7 is the only square in row 1 that can be <6>

R5C5 is the only square in row 5 that can be <2>

R5C1 is the only square in row 5 that can be <1>

R5C7 is the only square in row 5 that can be <9>

R6C3 is the only square in row 6 that can be <7>

R3C5 is the only square in row 3 that can be <7>

R2C2 is the only square in row 2 that can be <7>

R3C3 is the only square in row 3 that can be <4>

R4C9 is the only square in row 4 that can be <7>

R6C4 is the only square in row 6 that can be <9>

R1C6 is the only square in row 1 that can be <9>

R1C4 is the only square in row 1 that can be <1>

R8C4 can only be <5>

R3C4 can only be <2>

R3C9 can only be <3>

R3C8 can only be <5>

R3C7 can only be <1>

R2C1 is the only square in row 2 that can be <3>

R7C7 is the only square in row 7 that can be <3>

R4C3 is the only square in row 4 that can be <3>

R5C8 is the only square in row 5 that can be <3>

R7C3 is the only square in row 7 that can be <2>

R8C5 is the only square in row 8 that can be <1>

R4C6 is the only square in row 4 that can be <1>

R8C3 is the only square in row 8 that can be <9>

R9C7 is the only square in row 9 that can be <2>

R2C7 can only be <8>

R2C9 can only be <2>

R7C5 is the only square in column 5 that can be <8>

R2C5 is the only square in column 5 that can be <4>

R2C6 can only be <5>

Squares R4C7 and R6C7 in block 6 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 block.

R6C8 - removing <4> from <468> leaving <68>

Intersection of row 5 with block 4. The value <5> 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.

R4C2 - removing <5> from <456> leaving <46>

R6C1 - removing <5> from <458> leaving <48>

R7C1 is the only square in column 1 that can be <5>

Squares R4C2 and R7C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C2 - removing <6> from <568> leaving <58>

Intersection of row 8 with block 9. The value <6> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R9C8 - removing <6> from <468> leaving <48>

Squares R1C2, R1C3, R5C2 and R5C3 form a Type-1 Unique Rectangle on <58>.

R5C3 - removing <58> from <568> leaving <6>

R5C9 can only be <8>

R9C3 can only be <8>

R4C2 can only be <4>

R5C2 can only be <5>

R8C9 can only be <6>

R6C8 can only be <6>

R6C5 can only be <5>

R9C8 can only be <4>

R1C3 can only be <5>

R8C1 can only be <4>

R9C6 can only be <6>

R8C8 can only be <8>

R1C2 can only be <8>

R4C7 can only be <5>

R7C2 can only be <6>

R6C1 can only be <8>

R4C5 can only be <6>

R6C7 can only be <4>

R7C6 can only be <4>



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