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Daily Sudoku Answer 



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May 29 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C6 can only be <7>

R1C1 is the only square in row 1 that can be <2>

R4C1 can only be <7>

R6C2 can only be <1>

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

R8C2 can only be <7>

R4C8 is the only square in row 4 that can be <8>

R5C2 is the only square in row 5 that can be <2>

R4C2 can only be <3>

R4C9 can only be <2>

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

R6C9 is the only square in row 6 that can be <7>

R9C5 is the only square in row 9 that can be <3>

Squares R1C5 and R2C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C5 - removing <5> from <589> leaving <89>

R7C5 - removing <5> from <4568> leaving <468>

R8C5 - removing <5> from <4568> leaving <468>

Squares R1C9 and R3C9 in column 9 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 column.

R7C9 - removing <5> from <456> leaving <46>

R7C6 is the only square in row 7 that can be <5>

Squares R1C9 and R3C9 in block 3 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.

R1C7 - removing <5> from <157> leaving <17>

R2C7 - removing <5> from <1457> leaving <147>

R2C8 - removing <5> from <145> leaving <14>

Squares R7C9 and R9C9 in block 9 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 block.

R8C7 - removing <4> from <1458> leaving <158>

R8C8 - removing <4> from <145> leaving <15>

R9C7 - removing <4> from <148> leaving <18>

Intersection of row 7 with block 8. The value <8> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R8C4 - removing <8> from <1268> leaving <126>

R8C5 - removing <8> from <468> leaving <46>

Intersection of row 8 with block 8. The values <26> only appears in one or more of squares R8C4, R8C5 and R8C6 of row 8. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.

R7C4 - removing <6> from <168> leaving <18>

R7C5 - removing <6> from <468> leaving <48>

Squares R2C4<12>, R2C6<123> and R3C6<13> in block 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <123>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R3C4 - removing <1> from <189> leaving <89>

Squares R7C9, R9C9, R7C1 and R9C1 form a Type-2 Unique Rectangle on <46>.

R3C1 - removing <1> from <15> leaving <5>

R8C3 - removing <1> from <148> leaving <48>

R9C3 - removing <1> from <148> leaving <48>

R3C9 can only be <3>

R6C1 can only be <4>

R3C6 can only be <1>

R1C9 can only be <5>

R6C8 can only be <5>

R5C3 can only be <5>

R8C8 can only be <1>

R5C7 can only be <4>

R8C6 can only be <2>

R2C8 can only be <4>

R9C7 can only be <8>

R9C3 can only be <4>

R8C7 can only be <5>

R1C5 can only be <7>

R2C4 can only be <2>

R8C4 can only be <6>

R2C6 can only be <3>

R9C9 can only be <6>

R8C3 can only be <8>

R9C1 can only be <1>

R7C9 can only be <4>

R1C7 can only be <1>

R2C5 can only be <5>

R1C3 can only be <3>

R2C7 can only be <7>

R2C3 can only be <1>

R7C5 can only be <8>

R8C5 can only be <4>

R5C4 can only be <9>

R7C1 can only be <6>

R5C5 can only be <6>

R3C4 can only be <8>

R7C4 can only be <1>

R3C5 can only be <9>



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