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Daily Sudoku Answer 



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Oct 30 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C1 is the only square in row 2 that can be <3>

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

R6C4 is the only square in row 6 that can be <9>

R5C2 is the only square in row 5 that can be <9>

R7C7 is the only square in row 7 that can be <9>

R1C8 is the only square in row 1 that can be <9>

R1C7 is the only square in row 1 that can be <8>

R7C4 is the only square in row 7 that can be <8>

R5C5 is the only square in row 5 that can be <8>

R9C8 is the only square in row 9 that can be <8>

R7C3 is the only square in column 3 that can be <2>

Squares R4C3 and R4C4 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C5 - removing <56> from <2356> leaving <23>

R4C6 - removing <6> from <246> leaving <24>

R4C7 - removing <5> from <345> leaving <34>

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

R5C1 - removing <6> from <567> leaving <57>

R5C4 - removing <6> from <156> leaving <15>

R5C6 - removing <6> from <1467> leaving <147>

Intersection of block 4 with column 3. The value <6> only appears in one or more of squares R4C3, R5C3 and R6C3 of block 4. These squares are the ones that intersect with column 3. Thus, the other (non-intersecting) squares of column 3 cannot contain this value.

R1C3 - removing <6> from <156> leaving <15>

R9C3 - removing <6> from <167> leaving <17>

Squares R1C3 and R1C5 in row 1 and R9C3 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 3 and 5 can be removed.

R8C5 - removing <1> from <17> leaving <7>

Squares R1C2 and R1C5 in row 1 and R9C2 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 2 and 5 can be removed.

R2C2 - removing <6> from <567> leaving <57>

R2C5 - removing <6> from <256> leaving <25>

R6C5 - removing <6> from <356> leaving <35>

Squares R6C5 and R6C7 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C3 - removing <5> from <567> leaving <67>

Intersection of row 2 with block 3. The value <6> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. 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 <6> from <2567> leaving <257>

Squares R2C5<25>, R4C5<23> and R6C5<35> in column 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <235>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C5 - removing <5> from <156> leaving <16>

Intersection of row 1 with block 1. The value <5> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C2 - removing <5> from <57> leaving <7>

R3C1 - removing <5> from <1567> leaving <167>

Squares R3C1 (XY), R8C1 (XZ) and R1C2 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.

R8C2 - removing <5> from <45> leaving <4>

R8C8 can only be <2>

R9C2 can only be <6>

R8C9 can only be <1>

R2C8 can only be <6>

R8C1 can only be <5>

R7C9 can only be <7>

R9C5 can only be <1>

R1C2 can only be <5>

R9C3 can only be <7>

R1C5 can only be <6>

R7C6 can only be <6>

R1C3 can only be <1>

R3C1 can only be <6>

R5C8 can only be <4>

R4C7 can only be <3>

R6C6 can only be <7>

R7C1 can only be <1>

R9C7 can only be <4>

R5C1 can only be <7>

R6C3 can only be <6>

R4C5 can only be <2>

R6C7 can only be <5>

R5C6 can only be <1>

R5C4 can only be <5>

R3C6 can only be <2>

R4C3 can only be <5>

R6C5 can only be <3>

R3C7 can only be <7>

R5C9 can only be <6>

R3C9 can only be <5>

R4C6 can only be <4>

R2C5 can only be <5>

R3C4 can only be <1>

R2C9 can only be <2>

R4C4 can only be <6>



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