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Daily Sudoku Answer 


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The full reasoning can be found below the Sudoku.

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Nov 05 - Hard
Puzzle Copyright © Kevin Stone


Reasoning 


R4C6 is the only square in row 4 that can be <1>

R5C9 is the only square in row 5 that can be <1>

R7C3 is the only square in row 7 that can be <1>

R3C8 is the only square in row 3 that can be <1>

R1C1 is the only square in row 1 that can be <1>

R2C1 is the only square in column 1 that can be <8>

R6C4 is the only square in column 4 that can be <5>

R5C4 is the only square in column 4 that can be <9>

R6C3 is the only square in row 6 that can be <9>

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

R6C5 is the only square in row 6 that can be <3>

R5C3 is the only square in row 5 that can be <3>

R8C1 is the only square in row 8 that can be <9>

R9C5 is the only square in row 9 that can be <9>

R1C5 is the only square in column 5 that can be <5>

Squares R3C6 and R6C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C6 - removing <7> from <467> leaving <46>

R7C6 - removing <8> from <468> leaving <46>

Intersection of row 1 with block 3. The value <8> 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.

R3C7 - removing <8> from <24678> leaving <2467>

Intersection of row 2 with block 3. The values <37> 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 these values.

R3C7 - removing <7> from <2467> leaving <246>

Intersection of row 8 with block 9. The value <8> 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 <8> from <234568> leaving <23456>

R7C8 - removing <8> from <3468> leaving <346>

Intersection of block 2 with row 3. The values <278> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain these values.

R3C3 - removing <2> from <246> leaving <46>

R3C7 - removing <2> from <246> leaving <46>

Intersection of block 8 with row 7. The values <468> only appears in one or more of squares R7C4, R7C5 and R7C6 of block 8. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain these values.

R7C2 - removing <46> from <23456> leaving <235>

R7C7 - removing <46> from <23456> leaving <235>

R7C8 - removing <46> from <346> leaving <3>

R2C7 is the only square in row 2 that can be <3>

R8C2 is the only square in row 8 that can be <3>

R7C7 is the only square in column 7 that can be <2>

R7C2 can only be <5>

R2C3 is the only square in row 2 that can be <5>

R8C7 is the only square in row 8 that can be <5>

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

R5C1 can only be <4>

R5C6 can only be <6>

R9C1 can only be <2>

R5C7 can only be <7>

R7C6 can only be <4>

R4C5 can only be <8>

R5C5 can only be <2>

R6C7 can only be <8>

R6C6 can only be <7>

R4C7 can only be <6>

R7C4 can only be <8>

R4C4 can only be <4>

R7C5 can only be <6>

R3C7 can only be <4>

R3C5 can only be <7>

R3C6 can only be <8>

R3C4 can only be <2>

R3C3 can only be <6>

R1C8 can only be <8>

R1C9 can only be <2>

R1C2 can only be <4>

R8C3 can only be <4>

R2C2 can only be <2>

R8C8 can only be <6>

R9C2 can only be <6>

R8C9 can only be <8>

R2C8 can only be <7>

R9C9 can only be <7>

R9C8 can only be <4>

R2C9 can only be <6>


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