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Daily Sudoku Answer 



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Oct 07 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C5 is the only square in row 2 that can be <8>

R6C9 is the only square in row 6 that can be <3>

R3C3 is the only square in row 3 that can be <3>

R1C8 is the only square in row 1 that can be <3>

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

R9C6 is the only square in column 6 that can be <7>

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

R7C9 is the only square in row 7 that can be <4>

Squares R2C8 and R2C9 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C1 - removing <7> from <179> leaving <19>

R2C2 - removing <5> from <159> leaving <19>

R3C1 is the only square in block 1 that can be <7>

R4C1 is the only square in column 1 that can be <4>

R5C5 is the only square in row 5 that can be <4>

R3C5 can only be <5>

R3C4 can only be <9>

R3C9 can only be <6>

R8C5 can only be <6>

R3C7 can only be <1>

R1C4 can only be <2>

R3C6 can only be <4>

R1C6 can only be <1>

R1C2 is the only square in row 1 that can be <4>

R4C4 is the only square in column 4 that can be <6>

R1C7 is the only square in column 7 that can be <9>

R1C3 can only be <5>

Squares R7C4 and R7C6 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C1 - removing <8> from <128> leaving <12>

R7C3 - removing <8> from <168> leaving <16>

R7C7 - removing <58> from <2568> leaving <26>

Intersection of column 7 with block 6. The value <7> only appears in one or more of squares R4C7, R5C7 and R6C7 of column 7. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R4C9 - removing <7> from <257> leaving <25>

Squares R2C8, R2C9, R8C8 and R8C9 form a Type-3 Unique Rectangle on <57>. Upon close inspection, it is clear that:

(R8C8 or R8C9)<28> and R8C1<28> form a naked pair on <28> in row 8. No other squares in the row can contain these possibilities

R8C2 - removing <2> from <25> leaving <5>

R9C2 can only be <9>

R2C2 can only be <1>

R2C1 can only be <9>

R5C2 can only be <2>

R6C1 can only be <8>

R6C4 can only be <5>

R8C1 can only be <2>

R4C3 can only be <7>

R5C3 can only be <1>

R6C6 can only be <2>

R7C4 can only be <8>

R6C7 can only be <7>

R4C6 can only be <8>

R6C3 can only be <9>

R7C6 can only be <5>

R8C9 can only be <7>

R7C1 can only be <1>

R8C8 can only be <8>

R2C9 can only be <5>

R2C8 can only be <7>

R4C9 can only be <2>

R4C7 can only be <5>

R7C3 can only be <6>

R7C7 can only be <2>

R9C3 can only be <8>

R5C8 can only be <6>

R9C7 can only be <6>

R5C7 can only be <8>

R9C8 can only be <5>



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