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Daily Sudoku Answer 


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The full reasoning can be found below the Sudoku.

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Mar 03 - Very Hard
Puzzle Copyright © Kevin Stone


Reasoning 


R1C4 can only be <6>

R1C6 can only be <3>

R4C2 is the only square in row 4 that can be <4>

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

R4C1 is the only square in row 4 that can be <6>

R6C8 is the only square in row 6 that can be <6>

R5C6 is the only square in row 5 that can be <6>

R5C4 is the only square in row 5 that can be <5>

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

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

R3C1 is the only square in row 3 that can be <3>

R7C5 is the only square in row 7 that can be <3>

R9C9 is the only square in row 9 that can be <7>

R3C5 is the only square in column 5 that can be <4>

R3C7 can only be <5>

R3C9 can only be <1>

R3C2 can only be <6>

R3C8 can only be <7>

R3C3 can only be <8>

R1C1 is the only square in row 1 that can be <5>

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

R7C2 is the only square in row 7 that can be <5>

R9C6 is the only square in row 9 that can be <5>

R1C9 is the only square in column 9 that can be <4>

Squares R9C1 and R9C4 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C3 - removing <19> from <1469> leaving <46>

R9C7 - removing <9> from <469> leaving <46>

Squares R1C7 and R5C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C7 - removing <29> from <2689> leaving <68>

R8C7 - removing <29> from <2489> leaving <48>

Intersection of row 7 with block 9. The value <8> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R8C7 - removing <8> from <48> leaving <4>

R9C7 can only be <6>

R9C3 can only be <4>

R7C7 can only be <8>

R7C3 is the only square in row 7 that can be <6>

Squares R1C3 and R1C7 in row 1 and R5C3 and R5C7 in row 5 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 3 and 7 can be removed.

R8C3 - removing <2> from <129> leaving <19>

R8C8 is the only square in row 8 that can be <2>

R2C8 can only be <9>

R7C9 can only be <9>

R2C2 can only be <2>

R7C8 can only be <1>

R1C7 can only be <2>

R7C1 can only be <2>

R4C9 can only be <8>

R1C3 can only be <9>

R5C7 can only be <9>

R6C2 can only be <9>

R4C5 can only be <9>

R6C9 can only be <2>

R5C5 can only be <1>

R6C1 can only be <1>

R8C3 can only be <1>

R5C3 can only be <2>

R6C5 can only be <8>

R9C1 can only be <9>

R8C6 can only be <8>

R8C4 can only be <9>

R2C6 can only be <1>

R9C4 can only be <1>

R2C4 can only be <8>


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