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Daily Sudoku Answer 



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Jan 14 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R1C9 can only be <7>

R2C5 can only be <4>

R9C9 can only be <4>

R3C8 can only be <3>

R2C8 can only be <2>

R2C7 can only be <5>

R2C2 can only be <3>

R2C3 can only be <1>

R3C7 can only be <8>

R1C1 can only be <9>

R9C1 can only be <8>

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

R4C6 is the only square in row 4 that can be <5>

R1C6 can only be <3>

R1C4 can only be <5>

R4C1 is the only square in row 4 that can be <3>

R6C1 can only be <6>

R6C9 can only be <2>

R6C3 can only be <9>

R4C9 can only be <6>

R4C3 can only be <2>

R5C2 can only be <8>

R5C6 is the only square in row 5 that can be <2>

R6C4 is the only square in row 6 that can be <3>

R7C3 is the only square in row 7 that can be <4>

R7C6 is the only square in row 7 that can be <8>

R6C5 is the only square in row 6 that can be <8>

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

Squares R9C4 and R9C6 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C4 - removing <19> from <1679> leaving <67>

R8C5 - removing <9> from <679> leaving <67>

Intersection of column 5 with block 5. The value <9> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <9> from <169> leaving <16>

Intersection of column 8 with block 9. The value <7> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C7 - removing <7> from <179> leaving <19>

Squares R3C2, R3C3, R8C2 and R8C3 form a Type-1 Unique Rectangle on <56>.

R8C2 - removing <56> from <569> leaving <9>

R8C8 can only be <7>

R7C2 can only be <6>

R8C5 can only be <6>

R7C4 can only be <7>

R3C2 can only be <5>

R8C3 can only be <5>

R3C4 can only be <9>

R3C3 can only be <6>

R5C5 can only be <9>

R3C6 can only be <7>

R9C4 can only be <1>

R6C6 can only be <1>

R5C8 can only be <1>

R4C5 can only be <7>

R5C4 can only be <6>

R7C8 can only be <9>

R6C7 can only be <7>

R9C6 can only be <9>

R4C7 can only be <9>

R7C7 can only be <1>



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