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Daily Sudoku Answer 



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Jan 01 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C5 is the only square in row 2 that can be <1>

R4C7 is the only square in row 4 that can be <7>

R4C9 is the only square in row 4 that can be <2>

R6C3 is the only square in column 3 that can be <4>

R6C8 can only be <1>

R6C1 is the only square in row 6 that can be <5>

R5C4 is the only square in column 4 that can be <7>

R5C5 can only be <5>

R5C6 can only be <1>

R1C4 is the only square in block 2 that can be <5>

R7C4 can only be <6>

R3C4 can only be <3>

R5C2 is the only square in block 4 that can be <3>

R5C1 is the only square in block 4 that can be <6>

Intersection of row 2 with block 3. The value <4> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R3C8 - removing <4> from <2478> leaving <278>

Intersection of column 9 with block 9. The value <8> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R8C8 - removing <8> from <248> leaving <24>

Squares R7C5<24>, R7C6<245> and R9C6<25> in block 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <245>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C5 - removing <24> from <2478> leaving <78>

R9C5 - removing <2> from <278> leaving <78>

Intersection of row 8 with block 9. The value <4> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 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 <4> from <1245> leaving <125>

R7C8 - removing <4> from <249> leaving <29>

Squares R1C7<23>, R2C7<234> and R2C9<34> in block 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <234>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C8 - removing <2> from <278> leaving <78>

R3C8 - removing <2> from <278> leaving <78>

Intersection of column 8 with block 9. The value <2> 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 <2> from <125> leaving <15>

R8C7 - removing <2> from <1245> leaving <145>

R9C7 - removing <2> from <256> leaving <56>

Squares R8C1<27>, R8C5<78>, R8C8<24> and R8C9<48> in row 8 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <2478>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C3 - removing <7> from <157> leaving <15>

R8C7 - removing <4> from <145> leaving <15>

R2C7 is the only square in column 7 that can be <4>

R2C9 can only be <3>

R6C9 can only be <6>

R1C7 can only be <2>

R6C7 can only be <3>

R1C5 can only be <6>

R1C3 is the only square in row 1 that can be <3>

R3C3 is the only square in row 3 that can be <6>

R3C8 is the only square in row 3 that can be <7>

R1C8 can only be <8>

R1C1 can only be <7>

R8C1 can only be <2>

R8C8 can only be <4>

R2C1 can only be <9>

R8C9 can only be <8>

R5C8 can only be <9>

R8C5 can only be <7>

R9C9 can only be <9>

R9C2 can only be <5>

R5C9 can only be <4>

R7C8 can only be <2>

R2C3 can only be <5>

R4C1 can only be <8>

R2C2 can only be <2>

R8C3 can only be <1>

R9C3 can only be <7>

R7C5 can only be <4>

R8C7 can only be <5>

R4C3 can only be <9>

R9C5 can only be <8>

R7C7 can only be <1>

R9C7 can only be <6>

R9C6 can only be <2>

R7C2 can only be <9>

R3C6 can only be <4>

R3C2 can only be <8>

R3C5 can only be <2>

R7C6 can only be <5>

R4C2 can only be <1>



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