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Daily Sudoku Answer 



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Dec 30 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C5 can only be <4>

R6C3 can only be <3>

R6C5 can only be <6>

R6C7 can only be <5>

R4C7 can only be <2>

R4C3 can only be <8>

R5C5 can only be <1>

R2C5 can only be <2>

R8C5 can only be <7>

R1C3 is the only square in row 1 that can be <4>

R2C4 is the only square in row 2 that can be <4>

R2C7 is the only square in row 2 that can be <8>

R8C8 is the only square in row 8 that can be <5>

R8C2 is the only square in row 8 that can be <6>

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

R3C4 is the only square in column 4 that can be <5>

R7C6 is the only square in column 6 that can be <2>

R7C9 is the only square in column 9 that can be <7>

R7C1 can only be <3>

R7C4 can only be <1>

R8C4 can only be <3>

Squares R3C1 and R8C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C1 - removing <9> from <579> leaving <57>

R5C1 - removing <2> from <257> leaving <57>

Intersection of row 1 with block 3. The value <9> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C8 - removing <9> from <369> leaving <36>

Intersection of column 7 with block 9. The value <1> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R8C9 - removing <1> from <124> leaving <24>

Squares R3C1 and R8C1 in column 1 and R3C9 and R8C9 in column 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 3 and 8 can be removed.

R8C3 - removing <2> from <129> leaving <19>

Squares R2C1, R5C1, R2C2 and R5C2 form a Type-3 Unique Rectangle on <57>. Upon close inspection, it is clear that:

(R2C2 or R5C2)<23> and R1C2<23> form a naked pair on <23> in column 2. No other squares in the column can contain these possibilities

R9C2 - removing <2> from <27> leaving <7>

Squares R2C8 (XY), R1C7 (XZ) and R5C8 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.

R5C7 - removing <9> from <49> leaving <4>

R1C8 - removing <9> from <239> leaving <23>

R5C9 can only be <6>

R8C7 can only be <1>

R5C8 can only be <9>

R2C9 can only be <1>

R8C3 can only be <9>

R9C7 can only be <3>

R9C8 can only be <2>

R1C7 can only be <9>

R9C3 can only be <1>

R1C8 can only be <3>

R8C9 can only be <4>

R1C2 can only be <2>

R2C8 can only be <6>

R2C6 can only be <9>

R3C9 can only be <2>

R3C1 can only be <9>

R8C1 can only be <2>

R2C3 can only be <7>

R5C2 can only be <5>

R2C1 can only be <5>

R5C3 can only be <2>

R3C6 can only be <1>

R5C1 can only be <7>

R2C2 can only be <3>



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