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Daily Sudoku Answer 



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Dec 30 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R6C5 can only be <6>

R4C8 is the only square in row 4 that can be <6>

R3C9 is the only square in row 3 that can be <6>

R7C1 is the only square in row 7 that can be <6>

R9C2 is the only square in column 2 that can be <7>

R9C8 is the only square in column 8 that can be <4>

R5C8 is the only square in column 8 that can be <7>

R5C5 can only be <4>

R4C7 can only be <5>

R4C5 can only be <7>

R4C2 is the only square in column 2 that can be <4>

R4C3 can only be <9>

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

R3C1 is the only square in row 3 that can be <9>

Intersection of row 3 with block 1. The value <2> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C1 - removing <2> from <1258> leaving <158>

R1C2 - removing <2> from <1258> leaving <158>

Intersection of row 7 with block 9. The value <3> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. 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 <3> from <235> leaving <25>

Squares R7C7<123>, R7C8<135>, R7C9<235> and R9C9<25> in block 9 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1235>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C7 - removing <12> from <1278> leaving <78>

R8C9 - removing <25> from <2578> leaving <78>

Intersection of block 9 with row 7. The values <13> only appears in one or more of squares R7C7, R7C8 and R7C9 of block 9. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain these values.

R7C3 - removing <1> from <125> leaving <25>

Squares R6C3 and R7C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C3 - removing <5> from <1345> leaving <134>

R3C3 - removing <25> from <235> leaving <3>

R8C3 - removing <25> from <1245> leaving <14>

R3C7 can only be <8>

R3C8 can only be <5>

R8C7 can only be <7>

R3C2 can only be <2>

R8C9 can only be <8>

R5C9 can only be <2>

R9C9 can only be <5>

R6C7 can only be <3>

R6C8 can only be <8>

R2C7 can only be <1>

R6C2 can only be <5>

R7C9 can only be <3>

R2C3 can only be <4>

R7C7 can only be <2>

R1C8 can only be <3>

R6C3 can only be <2>

R7C3 can only be <5>

R7C8 can only be <1>

R1C9 can only be <9>

R2C9 can only be <7>

R8C3 can only be <1>

R8C4 can only be <6>

R9C1 can only be <2>

R1C4 can only be <8>

R9C6 can only be <9>

R8C1 can only be <4>

R9C5 can only be <3>

R2C6 can only be <5>

R1C2 can only be <1>

R2C4 can only be <3>

R9C4 can only be <1>

R2C1 can only be <8>

R2C5 can only be <9>

R8C6 can only be <2>

R1C5 can only be <2>

R8C5 can only be <5>

R1C6 can only be <6>

R1C1 can only be <5>

R5C2 can only be <8>

R5C1 can only be <1>



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