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Daily Sudoku Answer 



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Apr 03 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C9 can only be <4>

R2C5 is the only square in row 2 that can be <7>

R4C2 is the only square in row 4 that can be <7>

R4C1 is the only square in row 4 that can be <1>

R7C4 is the only square in row 7 that can be <4>

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

R6C2 is the only square in column 2 that can be <2>

R6C9 can only be <6>

R2C9 can only be <8>

R5C9 can only be <2>

R9C9 can only be <1>

R5C7 is the only square in row 5 that can be <8>

R5C3 is the only square in row 5 that can be <3>

R2C2 is the only square in row 2 that can be <3>

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

R5C1 is the only square in row 5 that can be <6>

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

R6C8 is the only square in row 6 that can be <3>

R8C7 is the only square in row 8 that can be <3>

R5C4 is the only square in column 4 that can be <1>

R5C6 can only be <9>

R1C7 is the only square in column 7 that can be <2>

Intersection of column 6 with block 2. The value <8> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.

R1C5 - removing <8> from <189> leaving <19>

Squares R2C3<569>, R6C3<59> and R9C3<569> in column 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <569>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C3 - removing <56> from <1456> leaving <14>

R8C3 - removing <69> from <1469> leaving <14>

Squares R9C2<569>, R9C3<569> and R9C4<69> in row 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <569>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C5 - removing <9> from <289> leaving <28>

R9C8 - removing <69> from <2689> leaving <28>

Squares R2C3 and R9C3 in column 3 and R2C4 and R9C4 in column 4 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 2 and 9 can be removed.

R9C2 - removing <6> from <569> leaving <59>

R2C7 - removing <6> from <56> leaving <5>

R4C7 can only be <9>

R4C8 can only be <5>

R7C7 can only be <6>

R8C6 is the only square in row 8 that can be <6>

R9C4 can only be <9>

R9C2 can only be <5>

R2C4 can only be <6>

R2C3 can only be <9>

R9C3 can only be <6>

R6C3 can only be <5>

R6C1 can only be <9>

R8C1 can only be <4>

R8C3 can only be <1>

R1C1 can only be <8>

R8C5 can only be <2>

R3C3 can only be <4>

R7C2 can only be <9>

R8C8 can only be <9>

R9C5 can only be <8>

R7C8 can only be <8>

R9C8 can only be <2>

R7C5 can only be <1>

R1C6 can only be <1>

R3C1 can only be <5>

R1C2 can only be <6>

R1C5 can only be <9>

R3C6 can only be <8>

R3C8 can only be <6>

R3C2 can only be <1>

R1C8 can only be <4>



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