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Daily Sudoku Answer 



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Jan 03 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s054587



Reasoning 



R2C6 can only be <7>

R2C2 is the only square in row 2 that can be <8>

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

R5C4 is the only square in row 5 that can be <5>

R2C4 can only be <9>

R8C4 can only be <2>

R7C5 can only be <9>

R5C7 is the only square in row 5 that can be <8>

R8C9 is the only square in row 8 that can be <1>

R8C5 is the only square in row 8 that can be <8>

R9C3 is the only square in row 9 that can be <8>

R9C1 is the only square in row 9 that can be <7>

R1C3 is the only square in row 1 that can be <7>

R1C2 is the only square in column 2 that can be <5>

R6C5 is the only square in column 5 that can be <2>

R8C1 is the only square in block 7 that can be <9>

Intersection of block 1 with column 1. The value <2> only appears in one or more of squares R1C1, R2C1 and R3C1 of block 1. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.

R5C1 - removing <2> from <126> leaving <16>

Intersection of block 7 with column 2. The value <6> only appears in one or more of squares R7C2, R8C2 and R9C2 of block 7. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.

R5C2 - removing <6> from <236> leaving <23>

Squares R1C7<2349>, R1C8<349>, R1C9<2349> and R2C9<23> in block 3 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <2349>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C8 - removing <3> from <356> leaving <56>

Squares R6C3 and R6C7 in row 6 and R7C3 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 3 and 7 can be removed.

R1C7 - removing <3> from <2349> leaving <249>

R5C3 - removing <3> from <12369> leaving <1269>

Squares R3C3 and R3C7 in row 3 and R6C3 and R6C7 in row 6 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 3 and 7 can be removed.

R4C3 - removing <6> from <69> leaving <9>

R4C7 - removing <6> from <469> leaving <49>

R5C3 - removing <6> from <1269> leaving <129>

R4C7 can only be <4>

R4C5 can only be <6>

R9C5 can only be <4>

R5C6 can only be <4>

R8C6 can only be <6>

R8C2 can only be <3>

R8C8 can only be <4>

R5C2 can only be <2>

R7C3 can only be <2>

R5C3 can only be <1>

R9C2 can only be <6>

R5C1 can only be <6>

R3C3 can only be <6>

R7C7 can only be <3>

R6C7 can only be <6>

R3C7 can only be <5>

R6C3 can only be <3>

R2C1 can only be <2>

R3C5 can only be <1>

R2C8 can only be <6>

R2C9 can only be <3>

R1C1 can only be <1>

R2C5 can only be <5>

R5C9 can only be <9>

R1C8 can only be <9>

R1C5 can only be <3>

R5C8 can only be <3>

R9C9 can only be <2>

R9C7 can only be <9>

R1C9 can only be <4>

R1C7 can only be <2>

R9C8 can only be <5>



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