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Daily Sudoku Answer 



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Apr 19 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R6C1 is the only square in row 6 that can be <1>

R6C5 is the only square in row 6 that can be <9>

R6C4 is the only square in row 6 that can be <6>

R7C9 is the only square in row 7 that can be <5>

R9C7 is the only square in row 9 that can be <1>

R9C3 is the only square in row 9 that can be <9>

R3C9 is the only square in block 3 that can be <6>

R2C9 is the only square in column 9 that can be <9>

R4C3 is the only square in block 4 that can be <5>

R7C3 is the only square in column 3 that can be <7>

Intersection of row 2 with block 1. The value <7> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 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 <7> from <23789> leaving <2389>

R3C2 - removing <7> from <357> leaving <35>

R2C2 is the only square in column 2 that can be <7>

R2C7 is the only square in row 2 that can be <5>

Squares R1C3 and R1C7 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C1 - removing <28> from <2489> leaving <49>

R1C5 - removing <2> from <256> leaving <56>

R1C6 - removing <2> from <269> leaving <69>

Intersection of row 6 with block 6. The value <4> 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.

R4C7 - removing <4> from <2348> leaving <238>

R4C9 - removing <4> from <23478> leaving <2378>

R6C7 is the only square in column 7 that can be <4>

Intersection of row 8 with block 9. The value <8> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C8 - removing <8> from <2368> leaving <236>

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

R8C1 is the only square in row 8 that can be <6>

Intersection of column 9 with block 6. The values <78> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C7 - removing <8> from <238> leaving <23>

Intersection of block 2 with row 3. The values <27> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain these values.

R3C1 - removing <2> from <2389> leaving <389>

R3C7 - removing <2> from <238> leaving <38>

Squares R2C1 and R2C8 in row 2 and R7C1 and R7C8 in row 7 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 1 and 8 can be removed.

R3C1 - removing <3> from <389> leaving <89>

R4C1 - removing <3> from <378> leaving <78>

R5C1 - removing <3> from <378> leaving <78>

R6C3 is the only square in block 4 that can be <3>

R6C9 can only be <8>

R8C3 can only be <2>

R1C3 can only be <8>

R1C7 can only be <2>

R3C1 can only be <9>

R4C7 can only be <3>

R2C8 can only be <3>

R2C1 can only be <2>

R3C7 can only be <8>

R3C6 can only be <2>

R1C1 can only be <4>

R5C6 can only be <8>

R5C1 can only be <7>

R4C6 can only be <4>

R1C2 can only be <5>

R7C1 can only be <3>

R1C5 can only be <6>

R3C2 can only be <3>

R1C6 can only be <9>

R8C2 can only be <4>

R4C5 can only be <2>

R7C6 can only be <6>

R5C9 can only be <2>

R4C1 can only be <8>

R5C4 can only be <5>

R4C9 can only be <7>

R9C9 can only be <4>

R7C8 can only be <2>

R7C4 can only be <8>

R7C5 can only be <4>

R9C8 can only be <6>

R8C9 can only be <3>

R9C5 can only be <7>

R5C5 can only be <3>

R3C4 can only be <7>

R9C4 can only be <2>

R3C5 can only be <5>



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