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Daily Sudoku Answer 



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Jun 18 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C8 can only be <8>

R5C5 can only be <6>

R4C1 is the only square in row 4 that can be <5>

R5C2 is the only square in row 5 that can be <8>

R5C7 is the only square in row 5 that can be <2>

R4C7 can only be <6>

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

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

R8C8 is the only square in row 8 that can be <5>

R2C6 is the only square in row 2 that can be <5>

R1C7 is the only square in row 1 that can be <5>

R9C4 is the only square in row 9 that can be <2>

R9C6 is the only square in row 9 that can be <6>

R9C9 is the only square in row 9 that can be <8>

Intersection of row 8 with block 8. The values <49> only appears in one or more of squares R8C4, R8C5 and R8C6 of row 8. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.

R7C4 - removing <4> from <348> leaving <38>

R7C5 - removing <4> from <1347> leaving <137>

Intersection of row 9 with block 7. The value <3> 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 this value.

R7C1 - removing <3> from <134> leaving <14>

Squares R5C8<49>, R6C7<47> and R6C8<479> in block 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <479>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R6C9 - removing <47> from <1347> leaving <13>

Squares R4C3, R4C9, R6C3 and R6C9 form a Type-1 Unique Rectangle on <13>.

R6C3 - removing <13> from <1349> leaving <49>

Squares R5C3 and R6C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C3 - removing <9> from <179> leaving <17>

R9C3 - removing <4> from <347> leaving <37>

Squares R1C3 and R2C2 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C1 - removing <1> from <189> leaving <89>

Squares R1C1 and R3C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R6C1 - removing <9> from <1349> leaving <134>

Squares R5C3 and R6C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R6C1 - removing <4> from <134> leaving <13>

Squares R5C3, R5C8, R6C3 and R6C8 form a Type-1 Unique Rectangle on <49>.

R6C8 - removing <49> from <479> leaving <7>

R6C7 can only be <4>

R2C8 can only be <4>

R2C4 can only be <3>

R5C8 can only be <9>

R5C3 can only be <4>

R6C3 can only be <9>

R9C7 can only be <7>

R9C3 can only be <3>

R7C9 can only be <4>

R7C4 can only be <8>

R7C1 can only be <1>

R9C1 can only be <4>

R4C3 can only be <1>

R4C9 can only be <3>

R1C3 can only be <7>

R6C1 can only be <3>

R6C9 can only be <1>

R7C6 can only be <7>

R8C2 can only be <7>

R7C5 can only be <3>

R2C2 can only be <1>

R1C9 can only be <6>

R1C4 can only be <9>

R3C9 can only be <7>

R2C5 can only be <7>

R3C5 can only be <4>

R8C5 can only be <1>

R8C6 can only be <9>

R8C4 can only be <4>

R3C6 can only be <8>

R1C1 can only be <8>

R3C4 can only be <6>

R3C1 can only be <9>

R1C6 can only be <1>



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