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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 02 - Very Hard
Puzzle Copyright © Kevin Stone


Reasoning 


R1C6 is the only square in row 1 that can be <7>

R3C5 is the only square in row 3 that can be <1>

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

R4C2 is the only square in row 4 that can be <2>

R4C5 is the only square in row 4 that can be <8>

R6C2 is the only square in row 6 that can be <7>

R9C7 is the only square in row 9 that can be <7>

R5C9 is the only square in row 5 that can be <7>

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

R5C1 is the only square in row 5 that can be <8>

R8C5 is the only square in row 8 that can be <7>

R2C1 is the only square in column 1 that can be <6>

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

R5C7 is the only square in block 6 that can be <3>

R5C5 can only be <6>

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

R7C9 is the only square in row 7 that can be <6>

R1C7 is the only square in row 1 that can be <6>

R1C9 is the only square in row 1 that can be <1>

R9C4 is the only square in row 9 that can be <6>

R9C6 is the only square in row 9 that can be <3>

R8C7 is the only square in column 7 that can be <1>

R2C9 is the only square in column 9 that can be <3>

R6C5 is the only square in column 5 that can be <3>

R6C4 is the only square in row 6 that can be <4>

Intersection of row 2 with block 2. The values <58> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.

R1C4 - removing <8> from <389> leaving <39>

R3C4 - removing <8> from <389> leaving <39>

Squares R1C4 and R3C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C4 - removing <9> from <589> leaving <58>

R5C4 - removing <9> from <29> leaving <2>

R5C6 can only be <9>

R2C7 is the only square in row 2 that can be <9>

R4C7 can only be <4>

Intersection of row 7 with block 8. The value <4> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R8C6 - removing <4> from <248> leaving <28>

Intersection of row 9 with block 7. The values <18> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.

R8C3 - removing <8> from <489> leaving <49>

Squares R1C4, R3C4, R1C2 and R3C2 form a Type-2 Unique Rectangle on <39>.

R1C3 - removing <8> from <489> leaving <49>

R9C2 - removing <8> from <58> leaving <5>

R9C8 can only be <2>

R7C2 can only be <9>

R9C1 can only be <1>

R7C8 can only be <5>

R8C3 can only be <4>

R7C5 can only be <4>

R4C8 can only be <9>

R8C9 can only be <9>

R8C1 can only be <2>

R1C3 can only be <9>

R4C9 can only be <5>

R9C3 can only be <8>

R6C1 can only be <9>

R1C4 can only be <3>

R6C3 can only be <1>

R3C1 can only be <4>

R1C2 can only be <8>

R3C4 can only be <9>

R3C8 can only be <8>

R3C2 can only be <3>

R1C8 can only be <4>

R7C6 can only be <2>

R2C5 can only be <5>

R8C6 can only be <8>

R8C4 can only be <5>

R2C6 can only be <4>

R2C4 can only be <8>


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