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Daily Sudoku Answer 



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Feb 23 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C2 can only be <3>

R5C1 can only be <9>

R4C3 can only be <2>

R4C4 can only be <9>

R6C3 can only be <6>

R3C6 is the only square in row 3 that can be <3>

R6C6 can only be <5>

R6C7 can only be <3>

R4C7 can only be <8>

R4C6 can only be <4>

R5C8 can only be <5>

R5C9 can only be <7>

R4C5 can only be <3>

R8C1 is the only square in row 8 that can be <3>

R9C8 is the only square in row 9 that can be <9>

R1C2 is the only square in column 2 that can be <1>

Intersection of row 8 with block 9. The value <1> 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.

R7C7 - removing <1> from <145> leaving <45>

Squares R2C7<149>, R2C9<14> and R3C7<49> in block 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <149>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C9 - removing <4> from <248> leaving <28>

Squares R7C4<12>, R7C6<18> and R7C8<28> in row 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <128>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C2 - removing <2> from <247> leaving <47>

R7C3 - removing <8> from <578> leaving <57>

R8C3 is the only square in column 3 that can be <8>

Intersection of block 7 with row 9. The value <2> only appears in one or more of squares R9C1, R9C2 and R9C3 of block 7. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain this value.

R9C5 - removing <2> from <258> leaving <58>

R9C9 - removing <2> from <248> leaving <48>

Squares R3C2 and R3C7 in row 3 and R7C2 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 2 and 7 can be removed.

R2C7 - removing <4> from <149> leaving <19>

R9C2 - removing <4> from <24> leaving <2>

R3C8 is the only square in row 3 that can be <2>

R7C8 can only be <8>

R1C9 can only be <8>

R7C6 can only be <1>

R1C8 can only be <6>

R9C9 can only be <4>

R9C1 can only be <5>

R2C9 can only be <1>

R7C7 can only be <5>

R1C5 can only be <4>

R2C7 can only be <9>

R8C9 can only be <2>

R7C4 can only be <2>

R5C6 can only be <8>

R7C3 can only be <7>

R8C7 can only be <1>

R8C5 can only be <5>

R9C5 can only be <8>

R2C1 can only be <4>

R5C5 can only be <6>

R1C1 can only be <2>

R2C5 can only be <7>

R3C2 can only be <7>

R6C5 can only be <2>

R3C4 can only be <6>

R2C3 can only be <5>

R3C7 can only be <4>

R3C3 can only be <9>

R7C2 can only be <4>

R5C4 can only be <1>

R6C4 can only be <7>



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