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Daily Sudoku Answer 



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Dec 17 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C2 is the only square in row 3 that can be <5>

R4C8 is the only square in row 4 that can be <5>

R9C3 is the only square in row 9 that can be <5>

R8C6 is the only square in row 8 that can be <5>

R8C7 is the only square in column 7 that can be <8>

Squares R5C7 and R5C8 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C2 - removing <23> from <2367> leaving <67>

R5C3 - removing <23> from <2367> leaving <67>

Squares R5C2 and R5C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C2 - removing <7> from <127> leaving <12>

R4C3 - removing <7> from <278> leaving <28>

Squares R5C7 and R5C8 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C7 - removing <2> from <124> leaving <14>

R6C7 - removing <23> from <12349> leaving <149>

R6C8 - removing <23> from <12349> leaving <149>

Intersection of row 1 with block 1. The value <7> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C2 - removing <7> from <23467> leaving <2346>

R2C3 - removing <7> from <23467> leaving <2346>

Intersection of row 1 with block 3. The value <1> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C7 - removing <1> from <123469> leaving <23469>

R2C8 - removing <1> from <123469> leaving <23469>

Intersection of row 3 with block 3. The values <24> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.

R2C7 - removing <24> from <23469> leaving <369>

R2C8 - removing <24> from <23469> leaving <369>

R5C7 is the only square in column 7 that can be <2>

R5C8 can only be <3>

Intersection of row 9 with block 9. The value <4> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C8 - removing <4> from <1246> leaving <126>

R7C9 - removing <4> from <1234> leaving <123>

R8C8 - removing <4> from <146> leaving <16>

Intersection of column 1 with block 7. The value <1> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C2 - removing <1> from <13467> leaving <3467>

R8C2 - removing <1> from <13467> leaving <3467>

Intersection of column 5 with block 8. The value <4> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. 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 <13478> leaving <1378>

R8C4 - removing <4> from <1347> leaving <137>

Intersection of column 7 with block 3. The value <6> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C8 - removing <6> from <69> leaving <9>

R3C8 - removing <6> from <2469> leaving <249>

R2C5 can only be <7>

R8C5 can only be <4>

R7C5 can only be <8>

R3C5 can only be <9>

R6C7 is the only square in row 6 that can be <9>

R7C2 is the only square in row 7 that can be <4>

R2C3 is the only square in row 2 that can be <4>

R2C2 is the only square in row 2 that can be <2>

R4C2 can only be <1>

R4C7 can only be <4>

R6C2 can only be <3>

R6C8 can only be <1>

R8C8 can only be <6>

R8C2 can only be <7>

R7C8 can only be <2>

R3C8 can only be <4>

R8C3 can only be <3>

R5C2 can only be <6>

R8C4 can only be <1>

R9C1 can only be <1>

R9C7 can only be <3>

R7C1 can only be <6>

R9C9 can only be <4>

R2C7 can only be <6>

R7C9 can only be <1>

R2C4 can only be <3>

R1C7 can only be <1>

R5C3 can only be <7>

R1C3 can only be <6>

R3C1 can only be <3>

R1C9 can only be <3>

R1C1 can only be <7>

R3C9 can only be <2>

R2C6 can only be <1>

R7C4 can only be <7>

R3C6 can only be <8>

R3C4 can only be <6>

R6C6 can only be <2>

R6C3 can only be <8>

R4C6 can only be <7>

R7C6 can only be <3>

R4C4 can only be <8>

R4C3 can only be <2>

R6C4 can only be <4>



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