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Daily Sudoku Answer 



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Jun 07 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R8C8 can only be <6>

R3C3 is the only square in row 3 that can be <7>

R4C6 is the only square in row 4 that can be <7>

R7C3 is the only square in row 7 that can be <6>

R3C7 is the only square in column 7 that can be <6>

R2C7 is the only square in column 7 that can be <4>

R7C7 is the only square in column 7 that can be <2>

R9C1 is the only square in row 9 that can be <2>

R8C7 is the only square in column 7 that can be <3>

R9C9 can only be <5>

R9C6 can only be <1>

R7C9 can only be <8>

R7C8 can only be <1>

R9C4 can only be <3>

Intersection of row 8 with block 7. The value <9> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C2 - removing <9> from <349> leaving <34>

Intersection of column 2 with block 1. The value <2> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C3 - removing <2> from <259> leaving <59>

Squares R5C3<12>, R5C5<25> and R5C7<15> in row 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <125>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C4 - removing <125> from <12569> leaving <69>

R5C6 - removing <5> from <569> leaving <69>

Squares R2C3 and R2C5 in row 2 and R8C3 and R8C5 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 5 can be removed.

R4C5 - removing <5> from <358> leaving <38>

R5C5 - removing <5> from <25> leaving <2>

R5C3 can only be <1>

R5C7 can only be <5>

R4C3 can only be <3>

R4C5 can only be <8>

R6C3 can only be <2>

R4C7 can only be <1>

R2C5 can only be <5>

R6C6 can only be <4>

R4C4 can only be <5>

R6C7 can only be <8>

R6C4 can only be <1>

R6C5 can only be <3>

R2C3 can only be <9>

R8C5 can only be <4>

R3C6 can only be <8>

R3C8 can only be <9>

R1C6 can only be <6>

R2C8 can only be <8>

R8C2 can only be <9>

R7C4 can only be <9>

R1C4 can only be <2>

R5C6 can only be <9>

R2C2 can only be <2>

R8C3 can only be <5>

R5C4 can only be <6>

R7C6 can only be <5>

R7C1 can only be <3>

R1C9 can only be <3>

R3C4 can only be <4>

R1C1 can only be <8>

R3C9 can only be <2>

R3C2 can only be <3>

R3C1 can only be <5>

R7C2 can only be <4>



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