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Daily Sudoku Answer 



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Jan 06 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C6 can only be <8>

R6C4 can only be <2>

R4C4 can only be <6>

R5C5 can only be <4>

R2C5 can only be <2>

R6C6 can only be <9>

R2C4 can only be <7>

R8C4 can only be <8>

R8C6 can only be <2>

R8C5 can only be <9>

R2C6 can only be <4>

R3C5 can only be <8>

R7C5 can only be <3>

R2C1 is the only square in row 2 that can be <3>

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

R9C2 is the only square in row 9 that can be <3>

R9C3 is the only square in row 9 that can be <2>

R9C9 is the only square in row 9 that can be <9>

R7C2 is the only square in row 7 that can be <9>

R1C3 is the only square in row 1 that can be <9>

R2C9 is the only square in column 9 that can be <6>

Intersection of column 1 with block 1. The value <7> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <7> from <1247> leaving <124>

R3C2 - removing <7> from <2457> leaving <245>

Intersection of column 2 with block 1. The values <24> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.

R1C1 - removing <4> from <147> leaving <17>

R3C1 - removing <4> from <457> leaving <57>

Squares R3C1 and R3C9 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C2 - removing <5> from <245> leaving <24>

R3C8 - removing <57> from <2457> leaving <24>

Intersection of block 4 with column 2. The values <157> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain these values.

R1C2 - removing <1> from <124> leaving <24>

Intersection of block 6 with column 8. The value <5> only appears in one or more of squares R4C8, R5C8 and R6C8 of block 6. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.

R7C8 - removing <5> from <458> leaving <48>

Squares R3C1 and R3C9 in row 3 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 1 and 9 can be removed.

R8C1 - removing <5> from <145> leaving <14>

R8C9 - removing <5> from <157> leaving <17>

Squares R3C2, R3C8, R1C2 and R1C8 form a Type-1 Unique Rectangle on <24>.

R1C8 - removing <24> from <12478> leaving <178>

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

R3C2 can only be <4>

R3C8 can only be <2>

R1C7 is the only square in row 1 that can be <4>

R8C1 is the only square in row 8 that can be <4>

R7C8 is the only square in row 7 that can be <4>

Squares R3C9 (XY), R2C7 (XZ) and R8C9 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R8C7 - removing <1> from <157> leaving <57>

R1C9 - removing <1> from <178> leaving <78>

R9C7 - removing <1> from <16> leaving <6>

R5C8 is the only square in row 5 that can be <6>

R8C9 is the only square in column 9 that can be <1>

R8C3 can only be <5>

R9C8 can only be <8>

R9C1 can only be <1>

R7C9 can only be <5>

R7C1 can only be <8>

R3C9 can only be <7>

R8C7 can only be <7>

R2C3 can only be <1>

R5C7 can only be <1>

R1C1 can only be <7>

R1C8 can only be <1>

R1C9 can only be <8>

R3C1 can only be <5>

R6C8 can only be <5>

R2C7 can only be <5>

R5C2 can only be <7>

R6C2 can only be <1>

R4C8 can only be <7>

R4C2 can only be <5>



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