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Daily Sudoku Answer 



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Dec 10 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C2 is the only square in row 3 that can be <9>

R8C7 is the only square in row 8 that can be <9>

R8C9 is the only square in row 8 that can be <6>

R5C1 is the only square in column 1 that can be <6>

R5C2 is the only square in row 5 that can be <1>

R6C3 is the only square in column 3 that can be <2>

R3C4 is the only square in column 4 that can be <6>

Intersection of row 5 with block 6. The values <25> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C8 - removing <5> from <3568> leaving <368>

Intersection of row 8 with block 7. The value <7> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C1 - removing <7> from <137> leaving <13>

R7C2 - removing <7> from <3478> leaving <348>

Intersection of row 8 with block 8. The value <4> only appears in one or more of squares R8C4, R8C5 and R8C6 of row 8. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C4 - removing <4> from <348> leaving <38>

R7C6 - removing <4> from <12348> leaving <1238>

R9C5 - removing <4> from <1245> leaving <125>

Intersection of column 2 with block 4. The value <7> only appears in one or more of squares R4C2, R5C2 and R6C2 of column 2. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C3 - removing <7> from <357> leaving <35>

Intersection of block 5 with row 5. The value <3> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.

R5C8 - removing <3> from <23458> leaving <2458>

Squares R5C4<348>, R5C5<48> and R5C6<348> in row 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <348>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C8 - removing <48> from <2458> leaving <25>

R5C9 - removing <4> from <245> leaving <25>

Intersection of row 5 with block 5. The values <348> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R4C5 - removing <8> from <678> leaving <67>

R6C5 - removing <4> from <467> leaving <67>

Squares R7C4<38>, R8C4<3458>, R8C5<458> and R8C6<348> in block 8 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <3458>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C6 - removing <38> from <1238> leaving <12>

R9C5 - removing <5> from <125> leaving <12>

Intersection of row 9 with block 7. The value <5> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R8C1 - removing <5> from <357> leaving <37>

R8C3 - removing <5> from <3578> leaving <378>

Intersection of column 1 with block 1. The value <5> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <5> from <58> leaving <8>

R1C3 - removing <5> from <158> leaving <18>

R2C3 - removing <5> from <13578> leaving <1378>

R1C3 can only be <1>

R3C6 is the only square in row 3 that can be <1>

R7C6 can only be <2>

R9C5 can only be <1>

R2C7 is the only square in row 2 that can be <1>

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

R3C8 is the only square in row 3 that can be <8>

R4C7 is the only square in row 4 that can be <8>

R7C1 is the only square in row 7 that can be <1>

R7C4 is the only square in row 7 that can be <8>

R2C6 is the only square in row 2 that can be <8>

R5C5 is the only square in row 5 that can be <8>

R8C3 is the only square in row 8 that can be <8>

R8C1 is the only square in row 8 that can be <7>

R3C1 can only be <5>

R3C9 can only be <7>

R2C1 can only be <3>

R7C9 can only be <4>

R7C2 can only be <3>

R2C9 can only be <5>

R9C7 can only be <3>

R9C3 can only be <5>

R9C8 can only be <2>

R7C8 can only be <7>

R5C8 can only be <5>

R2C3 can only be <7>

R2C4 can only be <4>

R5C9 can only be <2>

R6C2 can only be <7>

R9C2 can only be <4>

R4C3 can only be <3>

R5C4 can only be <3>

R1C5 can only be <5>

R4C8 can only be <6>

R4C5 can only be <7>

R1C8 can only be <4>

R6C7 can only be <4>

R5C6 can only be <4>

R8C4 can only be <5>

R8C6 can only be <3>

R6C5 can only be <6>

R4C2 can only be <5>

R6C8 can only be <3>

R1C7 can only be <6>

R8C5 can only be <4>



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