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Daily Sudoku Answer 



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Oct 27 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R6C7 can only be <7>

R1C1 is the only square in row 1 that can be <8>

R3C9 is the only square in row 3 that can be <2>

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

R4C2 is the only square in row 4 that can be <2>

R5C3 is the only square in row 5 that can be <4>

R5C5 is the only square in row 5 that can be <7>

R6C8 is the only square in row 6 that can be <2>

R7C1 is the only square in row 7 that can be <2>

R3C1 is the only square in column 1 that can be <9>

R3C6 can only be <1>

R6C5 is the only square in row 6 that can be <1>

R4C4 is the only square in column 4 that can be <6>

R4C3 can only be <5>

R1C8 is the only square in column 8 that can be <7>

R1C9 is the only square in row 1 that can be <4>

R2C7 is the only square in block 3 that can be <6>

Squares R5C8 and R7C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R8C8 - removing <5> from <456> leaving <46>

R9C8 - removing <59> from <4569> leaving <46>

Squares R3C2 and R3C3 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C2 - removing <3> from <135> leaving <15>

Intersection of row 7 with block 9. The value <1> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R8C7 - removing <1> from <138> leaving <38>

Intersection of column 1 with block 7. The value <5> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R9C2 - removing <5> from <3567> leaving <367>

Squares R2C6 and R2C9 in row 2, R4C5 and R4C6 in row 4 and R9C5, R9C6 and R9C9 in row 9 form a Swordfish pattern on possibility <9>. All other instances of this possibility in columns 5, 6 and 9 can be removed.

R1C5 - removing <9> from <359> leaving <35>

R5C9 - removing <9> from <589> leaving <58>

R7C9 - removing <9> from <159> leaving <15>

Squares R4C5, R4C6, R9C5 and R9C6 form a Type-3 Unique Rectangle on <89>. Upon close inspection, it is clear that:

(R9C5 or R9C6)<345>, R9C8<46>, R9C3<367>, R9C2<367> and R9C1<56> form a naked set on <34567> in row 9. No other squares in the row can contain these possibilities

R9C9 - removing <5> from <589> leaving <89>

Intersection of block 9 with row 7. The values <15> only appears in one or more of squares R7C7, R7C8 and R7C9 of block 9. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain these values.

R7C4 - removing <5> from <359> leaving <39>

Squares R5C9 (XY), R5C8 (XZ) and R9C9 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.

R7C8 - removing <9> from <59> leaving <5>

R7C9 can only be <1>

R5C8 can only be <9>

R2C9 can only be <9>

R2C6 can only be <5>

R9C9 can only be <8>

R1C7 can only be <1>

R5C7 can only be <8>

R5C9 can only be <5>

R8C7 can only be <3>

R1C2 can only be <5>

R6C6 can only be <4>

R1C5 can only be <3>

R6C4 can only be <5>

R9C6 can only be <9>

R7C7 can only be <9>

R4C6 can only be <8>

R7C4 can only be <3>

R1C4 can only be <9>

R9C5 can only be <5>

R4C5 can only be <9>

R8C4 can only be <4>

R8C8 can only be <6>

R8C3 can only be <1>

R9C8 can only be <4>

R9C1 can only be <6>

R8C5 can only be <8>

R8C1 can only be <5>

R2C3 can only be <7>

R5C1 can only be <1>

R2C2 can only be <1>

R9C3 can only be <3>

R5C2 can only be <6>

R3C2 can only be <3>

R9C2 can only be <7>

R3C3 can only be <6>



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