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Daily Sudoku Answer 



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Oct 14 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C5 can only be <2>

R1C5 can only be <1>

R1C6 can only be <2>

R9C5 can only be <7>

R1C4 can only be <5>

R1C1 can only be <6>

R3C4 can only be <9>

R3C6 can only be <7>

R2C6 can only be <3>

R1C2 can only be <8>

R1C3 can only be <4>

R5C2 can only be <6>

R5C6 can only be <4>

R5C8 can only be <5>

R5C4 can only be <3>

R5C3 can only be <8>

R5C7 can only be <9>

R2C8 can only be <2>

R2C1 can only be <5>

R3C8 can only be <8>

R4C1 is the only square in row 4 that can be <3>

R6C3 is the only square in row 6 that can be <5>

R7C9 is the only square in row 7 that can be <3>

R7C7 is the only square in row 7 that can be <8>

R9C4 is the only square in row 9 that can be <4>

Squares R3C3 and R4C3 in column 3 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 column.

R7C3 - removing <12> from <1279> leaving <79>

Intersection of row 7 with block 7. The value <7> only appears in one or more of squares R7C1, R7C2 and R7C3 of row 7. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R8C2 - removing <7> from <1279> leaving <129>

Intersection of row 7 with block 8. The value <6> 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.

R9C6 - removing <6> from <169> leaving <19>

Intersection of row 9 with block 9. The values <26> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.

R8C7 - removing <2> from <257> leaving <57>

R8C9 - removing <2> from <259> leaving <59>

Squares R2C2, R2C3, R7C2 and R7C3 form a Type-1 Unique Rectangle on <79>.

R7C2 - removing <79> from <1279> leaving <12>

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

R2C3 can only be <9>

R2C2 can only be <7>

R7C6 is the only square in row 7 that can be <9>

R9C6 can only be <1>

R9C8 can only be <6>

R6C6 can only be <6>

R8C4 can only be <2>

R9C7 can only be <2>

R4C8 can only be <7>

R8C8 can only be <1>

R4C4 can only be <1>

R7C4 can only be <6>

R8C2 can only be <9>

R9C9 can only be <9>

R4C7 can only be <6>

R6C7 can only be <4>

R8C9 can only be <5>

R4C3 can only be <2>

R6C9 can only be <2>

R3C7 can only be <5>

R6C2 can only be <1>

R8C7 can only be <7>

R3C9 can only be <4>

R3C3 can only be <1>

R7C2 can only be <2>

R7C1 can only be <1>

R3C1 can only be <2>



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