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Daily Sudoku Answer 



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Feb 15 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R8C6 can only be <3>

R1C2 is the only square in row 1 that can be <7>

R3C8 is the only square in row 3 that can be <6>

R4C4 is the only square in row 4 that can be <9>

R5C5 is the only square in row 5 that can be <3>

R6C6 is the only square in row 6 that can be <7>

Squares R4C2 and R4C6 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C8 - removing <4> from <248> leaving <28>

Intersection of row 1 with block 3. The value <2> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C7 - removing <2> from <12489> leaving <1489>

R2C8 - removing <2> from <12458> leaving <1458>

R2C9 - removing <2> from <2489> leaving <489>

R3C9 - removing <2> from <249> leaving <49>

R8C9 is the only square in column 9 that can be <2>

R8C7 is the only square in row 8 that can be <9>

Intersection of block 6 with column 8. The value <8> only appears in one or more of squares R4C8, R5C8 and R6C8 of block 6. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.

R1C8 - removing <8> from <258> leaving <25>

R2C8 - removing <8> from <1458> leaving <145>

R7C8 - removing <8> from <13478> leaving <1347>

R8C8 - removing <8> from <178> leaving <17>

R9C8 - removing <8> from <1348> leaving <134>

Squares R1C3<58>, R2C1<458> and R3C1<45> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <458>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R2C2 - removing <45> from <23459> leaving <239>

R2C3 - removing <458> from <3458> leaving <3>

R3C2 - removing <45> from <2459> leaving <29>

Intersection of block 1 with column 1. The value <4> only appears in one or more of squares R1C1, R2C1 and R3C1 of block 1. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.

R7C1 - removing <4> from <478> leaving <78>

Squares R1C3 and R1C7 in row 1 and R9C3 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 7 can be removed.

R2C7 - removing <8> from <148> leaving <14>

R8C3 - removing <8> from <568> leaving <56>

Squares R5C4 (XY), R5C7 (XZ) and R4C6 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.

R5C6 - removing <4> from <456> leaving <56>

R4C6 is the only square in column 6 that can be <4>

R4C2 can only be <6>

R8C3 is the only square in row 8 that can be <6>

Squares R3C1 and R3C5 in row 3, R6C2 and R6C5 in row 6 and R8C1 and R8C2 in row 8 form a Swordfish pattern on possibility <5>. All other instances of this possibility in columns 1, 2 and 5 can be removed.

R2C1 - removing <5> from <458> leaving <48>

Squares R2C9 (XYZ), R2C1 (XZ) and R3C9 (YZ) form an XYZ-Wing pattern on <4>. All squares that are buddies of all three squares cannot be <4>.

R2C7 - removing <4> from <14> leaving <1>

R2C8 - removing <4> from <145> leaving <15>

R2C8 can only be <5>

R2C6 can only be <6>

R1C8 can only be <2>

R1C7 can only be <8>

R4C8 can only be <8>

R2C4 can only be <2>

R5C6 can only be <5>

R4C5 can only be <2>

R6C8 can only be <4>

R5C3 can only be <4>

R6C2 can only be <5>

R5C7 can only be <2>

R1C3 can only be <5>

R9C7 can only be <4>

R2C2 can only be <9>

R5C4 can only be <6>

R3C5 can only be <5>

R3C1 can only be <4>

R9C3 can only be <8>

R8C2 can only be <1>

R8C4 can only be <8>

R8C8 can only be <7>

R6C4 can only be <1>

R7C5 can only be <1>

R8C1 can only be <5>

R7C1 can only be <7>

R9C2 can only be <3>

R7C9 can only be <8>

R2C9 can only be <4>

R3C2 can only be <2>

R2C1 can only be <8>

R3C9 can only be <9>

R6C5 can only be <8>

R7C8 can only be <3>

R7C2 can only be <4>

R9C8 can only be <1>



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