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Daily Sudoku Answer 



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Jul 21 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R4C4 can only be <2>

R7C3 can only be <2>

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

R2C2 is the only square in row 2 that can be <5>

R4C5 is the only square in row 4 that can be <5>

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

R3C2 is the only square in column 2 that can be <2>

R3C3 is the only square in row 3 that can be <4>

R2C4 is the only square in row 2 that can be <4>

R8C2 is the only square in row 8 that can be <4>

R9C8 is the only square in row 9 that can be <4>

R9C9 is the only square in row 9 that can be <2>

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

R2C8 is the only square in row 2 that can be <2>

R6C5 is the only square in column 5 that can be <1>

R6C8 can only be <8>

Intersection of row 3 with block 3. The value <3> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C8 - removing <3> from <1379> leaving <179>

R1C9 - removing <3> from <138> leaving <18>

Intersection of column 1 with block 7. The value <6> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. 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 <6> from <368> leaving <38>

R9C2 - removing <6> from <689> leaving <89>

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

R8C6 - removing <6> from <6789> leaving <789>

Squares R1C2 and R4C2 in column 2 and R1C8 and R4C8 in column 8 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in rows 1 and 4 can be removed.

R1C1 - removing <1> from <1389> leaving <389>

R1C9 - removing <1> from <18> leaving <8>

R3C7 can only be <3>

R3C8 can only be <9>

R3C5 can only be <8>

R2C1 is the only square in row 2 that can be <8>

R9C2 is the only square in row 9 that can be <8>

R7C2 can only be <3>

R7C8 can only be <7>

R7C5 can only be <6>

R1C8 can only be <1>

R1C2 can only be <9>

R4C8 can only be <3>

R2C9 can only be <6>

R2C7 can only be <7>

R8C9 can only be <3>

R4C6 can only be <6>

R5C9 can only be <1>

R5C1 can only be <9>

R7C7 can only be <8>

R9C5 can only be <9>

R8C7 can only be <6>

R9C1 can only be <6>

R1C5 can only be <7>

R1C1 can only be <3>

R6C2 can only be <6>

R2C3 can only be <1>

R2C6 can only be <9>

R8C3 can only be <9>

R4C2 can only be <1>

R6C6 can only be <7>

R5C4 can only be <8>

R8C1 can only be <1>

R5C6 can only be <3>

R8C4 can only be <7>

R6C4 can only be <9>

R8C6 can only be <8>



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