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Daily Sudoku Answer 


The full reasoning can be found below the Sudoku.

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Sep 06 - Very Hard
Puzzle Copyright © Kevin Stone


Reasoning 


R2C3 can only be <3>

R2C7 can only be <6>

R3C2 can only be <7>

R2C4 can only be <5>

R2C6 can only be <8>

R3C8 can only be <3>

R1C1 can only be <2>

R1C9 can only be <7>

R5C9 is the only square in row 5 that can be <6>

R5C3 is the only square in row 5 that can be <9>

R4C8 is the only square in row 4 that can be <9>

R5C7 is the only square in row 5 that can be <8>

R4C3 is the only square in row 4 that can be <8>

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

R8C6 is the only square in row 8 that can be <6>

R1C6 can only be <3>

R1C4 can only be <9>

R1C5 can only be <6>

R7C5 is the only square in row 7 that can be <9>

R9C4 is the only square in row 9 that can be <3>

Squares R6C3 and R6C8 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C1 - removing <7> from <3457> leaving <345>

R6C5 - removing <1> from <145> leaving <45>

R6C7 - removing <7> from <247> leaving <24>

R6C9 - removing <1> from <123> leaving <23>

Intersection of row 5 with block 5. The value <1> 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 this value.

R4C5 - removing <1> from <145> leaving <45>

Squares R4C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C5 - removing <4> from <124> leaving <12>

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

Squares R9C5 and R9C9 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C6 - removing <1> from <157> leaving <57>

Squares R4C5 and R6C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C4 - removing <4> from <147> leaving <17>

R5C6 - removing <4> from <147> leaving <17>

R5C1 is the only square in row 5 that can be <4>

Squares R7C8 and R8C3 form a remote naked pair. <17> can be removed from any square that is common to their groups.

R8C7 - removing <7> from <27> leaving <2>

R7C2 - removing <1> from <15> leaving <5>

R4C2 can only be <1>

R9C1 can only be <7>

R6C7 can only be <4>

R9C9 can only be <1>

R9C6 can only be <5>

R8C3 can only be <1>

R9C5 can only be <2>

R4C9 can only be <3>

R7C8 can only be <7>

R6C3 can only be <7>

R4C1 can only be <5>

R6C9 can only be <2>

R6C8 can only be <1>

R6C5 can only be <5>

R4C7 can only be <7>

R8C4 can only be <7>

R5C4 can only be <1>

R3C5 can only be <1>

R3C6 can only be <4>

R3C4 can only be <2>

R7C6 can only be <1>

R4C5 can only be <4>

R6C1 can only be <3>

R5C6 can only be <7>

R7C4 can only be <4>


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