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Daily Sudoku Answer 



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Jan 26 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C5 can only be <2>

R8C7 can only be <5>

R9C6 can only be <9>

R3C2 can only be <8>

R3C8 can only be <4>

R1C1 is the only square in row 1 that can be <4>

R1C9 is the only square in row 1 that can be <2>

R1C6 is the only square in row 1 that can be <8>

R2C6 is the only square in row 2 that can be <5>

R2C4 is the only square in row 2 that can be <7>

R4C9 is the only square in row 4 that can be <4>

R8C9 is the only square in row 8 that can be <9>

R9C1 is the only square in row 9 that can be <5>

Squares R4C8<38>, R5C7<68>, R5C9<367> and R6C9<67> in block 6 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <3678>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C8 - removing <378> from <23578> leaving <25>

R6C8 - removing <7> from <257> leaving <25>

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.

R9C9 - removing <7> from <137> leaving <13>

R9C5 is the only square in row 9 that can be <7>

Squares R1C5 and R7C5 in column 5 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 column.

R4C5 - removing <6> from <69> leaving <9>

R5C5 - removing <6> from <1569> leaving <159>

R6C5 - removing <6> from <156> leaving <15>

Squares R5C5 and R6C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C4 - removing <1> from <146> leaving <46>

Squares R5C4 and R5C6 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C1 - removing <6> from <23689> leaving <2389>

R5C2 - removing <6> from <123679> leaving <12379>

R5C7 - removing <6> from <68> leaving <8>

R5C9 - removing <6> from <367> leaving <37>

R2C7 can only be <6>

R4C8 can only be <3>

R2C9 can only be <1>

R2C8 can only be <8>

R9C9 can only be <3>

R4C2 can only be <6>

R7C8 can only be <7>

R5C9 can only be <7>

R6C9 can only be <6>

R6C1 can only be <2>

R8C8 can only be <1>

R9C4 can only be <1>

R4C1 can only be <8>

R7C2 can only be <3>

R6C8 can only be <5>

R5C3 can only be <3>

R6C5 can only be <1>

R5C8 can only be <2>

R7C5 can only be <6>

R8C1 can only be <6>

R1C5 can only be <3>

R8C6 can only be <4>

R8C4 can only be <3>

R5C6 can only be <6>

R1C4 can only be <6>

R5C1 can only be <9>

R2C3 can only be <2>

R5C4 can only be <4>

R6C2 can only be <7>

R5C5 can only be <5>

R2C2 can only be <9>

R8C3 can only be <7>

R5C2 can only be <1>

R2C1 can only be <3>

R8C2 can only be <2>



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