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Daily Sudoku Answer 



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Sep 22 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C1 can only be <3>

R5C5 can only be <5>

R8C9 can only be <5>

R2C5 can only be <2>

R2C9 can only be <7>

R8C5 can only be <6>

R8C1 can only be <7>

R1C5 is the only square in row 1 that can be <1>

R5C7 is the only square in row 5 that can be <7>

R5C3 is the only square in row 5 that can be <8>

R4C3 is the only square in column 3 that can be <2>

Squares R3C1 and R3C9 in row 3 and R4C1 and R4C9 in row 4 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 1 and 9 can be removed.

R5C1 - removing <6> from <469> leaving <49>

R5C9 - removing <6> from <2469> leaving <249>

Squares R5C8 (XY), R9C8 (XZ) and R4C9 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.

R7C9 - removing <3> from <234> leaving <24>

Intersection of row 7 with block 8. The values <38> 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 these values.

R9C5 - removing <3> from <39> leaving <9>

R9C6 - removing <3> from <357> leaving <57>

Squares R7C4<25>, R9C4<257> and R9C6<57> in block 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <257>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C6 - removing <5> from <358> leaving <38>

Squares R5C9<249>, R6C9<49> and R7C9<24> in column 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <249>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C9 - removing <9> from <369> leaving <36>

R3C4 is the only square in row 3 that can be <9>

R1C7 is the only square in row 1 that can be <9>

Squares R7C5, R7C6, R3C5 and R3C6 form a Type-1 Unique Rectangle on <38>.

R3C6 - removing <38> from <358> leaving <5>

R3C1 can only be <6>

R9C6 can only be <7>

R1C4 can only be <7>

R1C6 can only be <3>

R1C8 can only be <6>

R7C6 can only be <8>

R3C5 can only be <8>

R5C8 can only be <2>

R3C9 can only be <3>

R4C1 can only be <1>

R7C5 can only be <3>

R4C9 can only be <6>

R4C7 can only be <3>

R9C7 can only be <4>

R9C8 can only be <3>

R6C7 can only be <1>

R7C9 can only be <2>

R7C4 can only be <5>

R7C1 can only be <4>

R9C4 can only be <2>

R5C1 can only be <9>

R5C9 can only be <4>

R6C1 can only be <5>

R5C2 can only be <6>

R6C9 can only be <9>

R6C3 can only be <4>

R1C3 can only be <5>

R1C2 can only be <4>

R9C3 can only be <6>

R9C2 can only be <5>



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