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Daily Sudoku Answer 



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Jun 26 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R1C1 is the only square in row 1 that can be <2>

R1C3 is the only square in row 1 that can be <5>

R5C6 is the only square in row 5 that can be <2>

R5C4 is the only square in row 5 that can be <5>

R6C8 is the only square in row 6 that can be <2>

R6C5 is the only square in row 6 that can be <4>

R8C2 is the only square in row 8 that can be <3>

R8C7 is the only square in row 8 that can be <4>

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

R7C2 is the only square in row 7 that can be <5>

R8C6 is the only square in row 8 that can be <9>

Intersection of row 4 with block 5. The values <38> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R5C5 - removing <38> from <36789> leaving <679>

Intersection of column 2 with block 1. The value <9> 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.

R3C1 - removing <9> from <179> leaving <17>

Intersection of block 4 with column 2. The value <1> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.

R2C2 - removing <1> from <1679> leaving <679>

R3C2 - removing <1> from <1679> leaving <679>

Intersection of block 8 with column 5. The value <6> only appears in one or more of squares R7C5, R8C5 and R9C5 of block 8. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.

R1C5 - removing <6> from <367> leaving <37>

R3C5 - removing <6> from <678> leaving <78>

R5C5 - removing <6> from <679> leaving <79>

R1C9 is the only square in row 1 that can be <6>

R3C2 is the only square in row 3 that can be <6>

R5C3 is the only square in row 5 that can be <6>

R5C1 is the only square in row 5 that can be <8>

R9C5 is the only square in row 9 that can be <6>

R7C8 is the only square in row 7 that can be <6>

R2C2 is the only square in column 2 that can be <9>

R5C9 is the only square in column 9 that can be <3>

Intersection of column 8 with block 3. The value <8> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R3C9 - removing <8> from <189> leaving <19>

Squares R1C5 and R1C7 in row 1 and R5C5 and R5C7 in row 5 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 5 and 7 can be removed.

R2C7 - removing <7> from <137> leaving <13>

R3C5 - removing <7> from <78> leaving <8>

R4C5 - removing <7> from <13789> leaving <1389>

R7C5 can only be <1>

R7C1 can only be <9>

R8C4 can only be <8>

R8C3 can only be <1>

R7C9 can only be <8>

R2C3 can only be <7>

R9C1 can only be <7>

R9C3 can only be <8>

R3C1 can only be <1>

R2C6 can only be <6>

R2C8 can only be <8>

R2C4 can only be <3>

R6C6 can only be <7>

R3C9 can only be <9>

R3C8 can only be <7>

R9C9 can only be <1>

R6C2 can only be <1>

R4C6 can only be <8>

R5C5 can only be <9>

R9C7 can only be <9>

R2C7 can only be <1>

R4C4 can only be <1>

R1C5 can only be <7>

R4C8 can only be <9>

R1C7 can only be <3>

R4C2 can only be <7>

R6C4 can only be <6>

R4C5 can only be <3>

R5C7 can only be <7>



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