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Daily Sudoku Answer 



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Sep 05 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R5C5 is the only square in row 5 that can be <4>

R5C4 is the only square in row 5 that can be <9>

R1C4 can only be <6>

R8C5 is the only square in row 8 that can be <3>

Intersection of row 5 with block 4. The value <7> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C1 - removing <7> from <127> leaving <12>

Intersection of row 5 with block 6. The value <8> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R6C9 - removing <8> from <38> leaving <3>

R4C9 can only be <6>

R5C9 can only be <8>

R4C6 is the only square in row 4 that can be <3>

R5C6 is the only square in row 5 that can be <6>

R9C6 can only be <2>

Squares R5C7 and R5C8 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C1 - removing <12> from <1257> leaving <57>

R5C2 - removing <12> from <12357> leaving <357>

R8C2 is the only square in column 2 that can be <2>

Intersection of row 5 with block 4. The values <357> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R6C1 - removing <5> from <125> leaving <12>

Squares R4C1 and R6C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C1 - removing <1> from <14579> leaving <4579>

R2C1 - removing <1> from <14589> leaving <4589>

Intersection of column 4 with block 5. The value <2> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R4C5 - removing <2> from <127> leaving <17>

R6C5 - removing <2> from <1258> leaving <158>

Squares R1C1 and R1C9 in row 1 and R9C1 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 1 and 9 can be removed.

R2C1 - removing <4> from <4589> leaving <589>

R2C9 - removing <4> from <459> leaving <59>

R8C1 - removing <4> from <478> leaving <78>

R8C9 - removing <4> from <47> leaving <7>

R8C1 can only be <8>

R2C2 is the only square in row 2 that can be <8>

R2C5 is the only square in row 2 that can be <1>

R4C5 can only be <7>

R1C6 can only be <5>

R4C4 can only be <2>

R1C5 can only be <9>

R6C6 can only be <1>

R4C1 can only be <1>

R6C4 can only be <8>

R6C5 can only be <5>

R9C4 can only be <7>

R6C1 can only be <2>

R1C9 can only be <4>

R3C5 can only be <2>

R1C1 can only be <7>

R3C7 can only be <9>

R7C7 can only be <6>

R2C9 can only be <5>

R7C5 can only be <8>

R2C7 can only be <2>

R8C8 can only be <1>

R8C7 can only be <4>

R5C8 can only be <2>

R1C8 can only be <3>

R5C1 can only be <5>

R1C2 can only be <1>

R5C7 can only be <1>

R2C1 can only be <9>

R2C3 can only be <4>

R2C8 can only be <6>

R9C9 can only be <9>

R3C8 can only be <7>

R7C8 can only be <5>

R9C5 can only be <6>

R7C3 can only be <7>

R9C8 can only be <8>

R8C3 can only be <6>

R9C1 can only be <4>

R9C2 can only be <5>

R7C2 can only be <9>

R5C3 can only be <3>

R3C2 can only be <3>

R3C3 can only be <5>

R5C2 can only be <7>



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