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Daily Sudoku Answer 



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Jun 04 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R7C8 can only be <6>

R8C5 can only be <6>

R8C6 can only be <9>

R4C3 is the only square in column 3 that can be <9>

R9C4 is the only square in column 4 that can be <3>

R4C4 is the only square in column 4 that can be <5>

R4C9 is the only square in row 4 that can be <7>

R6C1 is the only square in row 6 that can be <5>

R1C8 is the only square in column 8 that can be <7>

R2C5 is the only square in block 2 that can be <4>

Intersection of row 4 with block 4. The value <4> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R5C1 - removing <4> from <1248> leaving <128>

R5C2 - removing <4> from <12468> leaving <1268>

Intersection of row 6 with block 6. The value <1> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R5C8 - removing <1> from <1249> leaving <249>

R5C9 - removing <1> from <12689> leaving <2689>

Intersection of column 2 with block 1. The value <3> 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.

R1C1 - removing <3> from <389> leaving <89>

R3C1 - removing <3> from <3478> leaving <478>

Intersection of column 7 with block 3. The value <9> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C9 - removing <9> from <169> leaving <16>

Intersection of block 5 with row 5. The values <78> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain these values.

R5C1 - removing <8> from <128> leaving <12>

R5C2 - removing <8> from <1268> leaving <126>

R5C9 - removing <8> from <2689> leaving <269>

Intersection of block 2 with column 4. The value <7> only appears in one or more of squares R1C4, R2C4 and R3C4 of block 2. These squares are the ones that intersect with column 4. Thus, the other (non-intersecting) squares of column 4 cannot contain this value.

R5C4 - removing <7> from <678> leaving <68>

Squares R2C2<26>, R5C2<126> and R9C2<12> in column 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <126>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C2 - removing <6> from <368> leaving <38>

R3C2 - removing <6> from <3468> leaving <348>

R4C2 - removing <6> from <468> leaving <48>

R4C7 is the only square in row 4 that can be <6>

R1C6 is the only square in row 1 that can be <6>

R6C6 can only be <4>

R2C4 can only be <7>

R3C4 can only be <8>

R5C4 can only be <6>

R1C5 can only be <5>

R5C6 can only be <7>

R9C5 can only be <7>

R5C5 can only be <8>

R7C6 can only be <5>

R9C3 can only be <2>

R9C2 can only be <1>

R8C3 can only be <8>

R6C3 can only be <6>

R9C8 can only be <9>

R5C2 can only be <2>

R8C1 can only be <3>

R9C9 can only be <5>

R5C1 can only be <1>

R5C8 can only be <4>

R5C9 can only be <9>

R2C2 can only be <6>

R3C3 can only be <7>

R7C1 can only be <7>

R2C9 can only be <1>

R2C7 can only be <9>

R8C9 can only be <2>

R3C1 can only be <4>

R8C8 can only be <1>

R6C9 can only be <8>

R2C1 can only be <2>

R1C7 can only be <3>

R3C2 can only be <3>

R4C1 can only be <8>

R3C9 can only be <6>

R1C2 can only be <8>

R4C2 can only be <4>

R1C1 can only be <9>

R6C7 can only be <1>

R7C9 can only be <3>

R7C7 can only be <8>

R6C8 can only be <2>



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