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Daily Sudoku Answer 



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Nov 27 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C3 can only be <5>

R5C5 can only be <3>

R5C7 can only be <4>

R3C5 can only be <9>

R7C5 can only be <2>

R1C7 is the only square in row 1 that can be <1>

R2C3 is the only square in row 2 that can be <7>

R3C8 is the only square in row 3 that can be <6>

R3C6 is the only square in row 3 that can be <8>

R6C2 is the only square in row 6 that can be <1>

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

R8C6 is the only square in row 8 that can be <1>

R7C6 can only be <3>

R2C6 can only be <5>

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

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.

R3C2 - removing <5> from <2345> leaving <234>

Intersection of column 3 with block 7. The value <3> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R8C2 - removing <3> from <2359> leaving <259>

Intersection of block 3 with column 9. The value <5> only appears in one or more of squares R1C9, R2C9 and R3C9 of block 3. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain this value.

R7C9 - removing <5> from <459> leaving <49>

Squares R3C1 and R9C1 in column 1 and R3C9 and R9C9 in column 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 3 and 9 can be removed.

R3C2 - removing <2> from <234> leaving <34>

R9C3 - removing <2> from <2349> leaving <349>

R9C7 - removing <2> from <239> leaving <39>

Squares R3C2 and R3C4 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C9 - removing <4> from <245> leaving <25>

Squares R1C3 and R1C9 in row 1 and R9C3 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 3 and 9 can be removed.

R7C9 - removing <4> from <49> leaving <9>

R7C4 can only be <7>

R9C7 can only be <3>

R8C4 can only be <9>

R8C3 is the only square in row 8 that can be <3>

R8C8 is the only square in row 8 that can be <7>

R4C3 is the only square in column 3 that can be <2>

R4C2 can only be <9>

R4C7 can only be <5>

R6C3 can only be <8>

R4C8 can only be <8>

R8C7 can only be <2>

R6C8 can only be <9>

R2C8 can only be <4>

R8C2 can only be <5>

R2C7 can only be <9>

R9C9 can only be <4>

R9C3 can only be <9>

R1C9 can only be <5>

R7C8 can only be <5>

R1C1 can only be <9>

R3C9 can only be <2>

R2C4 can only be <3>

R3C1 can only be <5>

R7C2 can only be <4>

R9C1 can only be <2>

R1C3 can only be <4>

R3C2 can only be <3>

R2C2 can only be <2>

R3C4 can only be <4>



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