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Daily Sudoku Answer 



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Aug 02 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C5 can only be <7>

R6C7 can only be <2>

R1C5 can only be <3>

R6C3 can only be <7>

R9C5 can only be <5>

R9C8 can only be <6>

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

R1C2 is the only square in row 1 that can be <7>

R5C9 is the only square in row 5 that can be <6>

R5C7 is the only square in row 5 that can be <3>

R9C7 can only be <9>

R7C3 is the only square in row 7 that can be <9>

R7C4 is the only square in row 7 that can be <6>

R8C4 can only be <4>

R8C6 can only be <3>

R7C6 can only be <1>

R8C3 is the only square in row 8 that can be <6>

R7C9 is the only square in column 9 that can be <3>

R7C2 can only be <2>

R8C9 is the only square in row 8 that can be <2>

Squares R7C1 and R8C1 in column 1 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 column.

R2C1 - removing <5> from <158> leaving <18>

R3C1 - removing <5> from <1258> leaving <128>

Squares R2C9 and R3C9 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C7 - removing <7> from <1578> leaving <158>

R3C7 - removing <7> from <1578> leaving <158>

Squares R1C3<28>, R2C1<18> and R3C1<128> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <128>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C3 - removing <18> from <1458> leaving <45>

R3C2 - removing <1> from <134> leaving <34>

R3C3 - removing <128> from <123458> leaving <345>

Intersection of block 1 with column 1. The value <1> only appears in one or more of squares R1C1, R2C1 and R3C1 of block 1. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.

R5C1 - removing <1> from <128> leaving <28>

Squares R8C1, R8C7, R7C1 and R7C7 form a Type-1 Unique Rectangle on <57>.

R7C7 - removing <57> from <457> leaving <4>

R7C8 can only be <5>

R4C7 can only be <8>

R7C1 can only be <7>

R8C7 can only be <7>

R8C1 can only be <5>

R4C3 can only be <4>

R5C8 can only be <4>

R5C2 can only be <1>

R2C3 can only be <5>

R9C2 can only be <3>

R9C3 can only be <1>

R3C2 can only be <4>

R2C7 can only be <1>

R3C3 can only be <3>

R2C1 can only be <8>

R3C7 can only be <5>

R3C6 can only be <7>

R3C9 can only be <9>

R2C6 can only be <4>

R3C4 can only be <8>

R2C9 can only be <7>

R2C4 can only be <9>

R5C1 can only be <2>

R1C3 can only be <2>

R3C8 can only be <2>

R3C1 can only be <1>

R1C8 can only be <8>

R5C3 can only be <8>



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