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Daily Sudoku Answer 



The full reasoning can be found below the Sudoku.

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Apr 14 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



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

R5C8 is the only square in row 5 that can be <9>

R8C1 is the only square in row 8 that can be <2>

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

R5C2 is the only square in column 2 that can be <4>

R6C3 is the only square in column 3 that can be <9>

R3C4 is the only square in column 4 that can be <4>

R7C4 is the only square in column 4 that can be <5>

R9C6 is the only square in column 6 that can be <1>

R8C2 is the only square in row 8 that can be <1>

R4C7 is the only square in column 7 that can be <5>

Squares R3C6 and R7C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C6 - removing <68> from <2678> leaving <27>

R5C6 - removing <8> from <278> leaving <27>

Intersection of row 5 with block 5. The values <278> 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 these values.

R4C5 - removing <8> from <148> leaving <14>

R6C5 - removing <78> from <1478> leaving <14>

Intersection of column 8 with block 9. The value <8> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C9 - removing <8> from <678> leaving <67>

R8C9 - removing <8> from <568> leaving <56>

Squares R3C1 and R3C6 in row 3 and R7C1 and R7C6 in row 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 6 can be removed.

R4C1 - removing <8> from <168> leaving <16>

R6C1 - removing <8> from <18> leaving <1>

R6C5 can only be <4>

R4C1 can only be <6>

R6C7 can only be <7>

R4C5 can only be <1>

R6C9 can only be <8>

R9C7 can only be <4>

R4C9 can only be <4>

R4C3 can only be <8>

R2C8 is the only square in row 2 that can be <4>

R9C3 is the only square in row 9 that can be <7>

R1C3 can only be <6>

R7C1 can only be <8>

R1C8 can only be <5>

R2C2 can only be <5>

R1C2 can only be <8>

R7C6 can only be <6>

R3C1 can only be <9>

R9C2 can only be <6>

R7C9 can only be <7>

R3C6 can only be <8>

R8C5 can only be <8>

R8C8 can only be <6>

R5C5 can only be <7>

R8C9 can only be <5>

R9C8 can only be <8>

R1C4 can only be <2>

R1C6 can only be <7>

R5C4 can only be <8>

R5C6 can only be <2>

R2C5 can only be <6>

R2C9 can only be <9>

R2C1 can only be <7>

R3C9 can only be <6>



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