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Daily Sudoku Answer 



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Jan 03 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s023761



Reasoning 



R3C7 is the only square in row 3 that can be <7>

R3C5 is the only square in row 3 that can be <5>

R3C1 is the only square in row 3 that can be <1>

R2C4 is the only square in row 2 that can be <1>

R4C5 is the only square in row 4 that can be <1>

R5C7 is the only square in row 5 that can be <1>

R8C2 is the only square in row 8 that can be <1>

R8C7 is the only square in row 8 that can be <3>

R6C1 is the only square in column 1 that can be <8>

R8C6 is the only square in column 6 that can be <7>

R8C1 can only be <9>

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

R2C9 is the only square in row 2 that can be <8>

R7C5 is the only square in row 7 that can be <8>

R5C6 is the only square in row 5 that can be <8>

Squares R1C5 and R9C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C5 - removing <69> from <3469> leaving <34>

R6C5 - removing <69> from <3469> leaving <34>

Squares R5C5 and R6C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C4 - removing <4> from <2469> leaving <269>

R6C6 - removing <4> from <2469> leaving <269>

Intersection of column 4 with block 5. The value <2> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R6C6 - removing <2> from <269> leaving <69>

Intersection of row 6 with block 6. The value <2> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R4C8 - removing <2> from <269> leaving <69>

R4C9 - removing <2> from <2369> leaving <369>

R5C8 - removing <2> from <2469> leaving <469>

R2C8 is the only square in column 8 that can be <2>

R1C6 is the only square in row 1 that can be <2>

Intersection of block 3 with row 3. The value <9> only appears in one or more of squares R3C7, R3C8 and R3C9 of block 3. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.

R3C6 - removing <9> from <469> leaving <46>

Squares R8C3, R8C4, R7C3 and R7C4 form a Type-4 Unique Rectangle on <46>.

R7C3 - removing <6> from <24567> leaving <2457>

R7C4 - removing <6> from <456> leaving <45>

Squares R4C1, R7C1, R4C3 and R7C3 form a Type-4 Unique Rectangle on <27>.

R4C3 - removing <2> from <23679> leaving <3679>

R7C3 - removing <2> from <2457> leaving <457>

Squares R7C2 (XY), R7C4 (XZ) and R8C3 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.

R8C4 - removing <4> from <46> leaving <6>

R7C3 - removing <4> from <457> leaving <57>

R8C3 can only be <4>

R9C5 can only be <9>

R9C4 can only be <5>

R1C5 can only be <6>

R1C7 can only be <5>

R3C6 can only be <4>

R1C3 can only be <9>

R2C7 can only be <4>

R2C6 can only be <9>

R7C4 can only be <4>

R6C6 can only be <6>

R6C7 can only be <2>

R9C7 can only be <6>

R9C3 can only be <2>

R7C9 can only be <2>

R7C1 can only be <7>

R7C3 can only be <5>

R4C1 can only be <2>

R7C2 can only be <6>

R2C3 can only be <3>

R2C2 can only be <5>

R5C3 can only be <6>

R4C4 can only be <9>

R4C8 can only be <6>

R5C4 can only be <2>

R4C3 can only be <7>

R4C9 can only be <3>

R3C8 can only be <9>

R6C9 can only be <9>

R6C2 can only be <3>

R3C9 can only be <6>

R5C8 can only be <4>

R5C5 can only be <3>

R6C5 can only be <4>

R5C2 can only be <9>



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