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Daily Sudoku Answer 



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Dec 25 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s312493



Reasoning 



R1C1 can only be <1>

R1C3 can only be <7>

R1C2 can only be <6>

R3C3 can only be <8>

R2C1 can only be <2>

R4C2 is the only square in row 4 that can be <7>

R9C3 is the only square in column 3 that can be <1>

R3C7 is the only square in column 7 that can be <4>

R2C7 is the only square in column 7 that can be <1>

R2C8 is the only square in row 2 that can be <8>

R4C1 is the only square in block 4 that can be <5>

R9C1 can only be <9>

R4C4 is the only square in row 4 that can be <8>

Intersection of row 6 with block 5. The values <45> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R4C5 - removing <4> from <1349> leaving <139>

R4C6 - removing <4> from <1249> leaving <129>

R5C5 - removing <4> from <13469> leaving <1369>

R6C5 is the only square in column 5 that can be <4>

Squares R1C6 and R6C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C6 - removing <5> from <1256> leaving <126>

R4C6 - removing <9> from <129> leaving <12>

R7C6 - removing <9> from <149> leaving <14>

R8C6 - removing <9> from <469> leaving <46>

Intersection of column 7 with block 9. The values <28> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.

R7C8 - removing <2> from <2379> leaving <379>

Intersection of block 8 with column 4. The value <9> only appears in one or more of squares R7C4, R8C4 and R9C4 of block 8. These squares are the ones that intersect with column 4. Thus, the other (non-intersecting) squares of column 4 cannot contain this value.

R2C4 - removing <9> from <679> leaving <67>

R5C4 - removing <9> from <12369> leaving <1236>

R6C4 - removing <9> from <359> leaving <35>

Squares R4C9<349>, R5C9<349> and R6C8<39> in block 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <349>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C8 - removing <39> from <1239> leaving <12>

R5C8 - removing <39> from <1239> leaving <12>

Squares R4C6 and R4C8 in row 4 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.

R4C5 - removing <1> from <139> leaving <39>

Squares R4C5<39>, R6C4<35> and R6C6<59> in block 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <359>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C4 - removing <3> from <1236> leaving <126>

R5C5 - removing <39> from <1369> leaving <16>

Squares R7C7<2389>, R7C8<379>, R7C9<379>, R8C7<389> and R9C7<23> in block 9 form a comprehensive naked set. These 5 squares can only contain the 5 possibilities <23789>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C8 - removing <39> from <3569> leaving <56>

R9C9 - removing <37> from <3567> leaving <56>

Intersection of row 9 with block 8. The value <7> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C4 - removing <7> from <1379> leaving <139>

Squares R3C6 and R8C6 in column 6 and R3C8 and R8C8 in column 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 3 and 8 can be removed.

R3C4 - removing <6> from <12567> leaving <1257>

R8C4 - removing <6> from <369> leaving <39>

R3C5 - removing <6> from <167> leaving <17>

R3C9 - removing <6> from <567> leaving <57>

Squares R2C5 and R2C9 in row 2, R4C3, R4C5 and R4C9 in row 4 and R5C3 and R5C9 in row 5 form a Swordfish pattern on possibility <9>. All other instances of this possibility in columns 3, 5 and 9 can be removed.

R7C9 - removing <9> from <379> leaving <37>

Squares R3C5 (XY), R5C5 (XZ) and R2C4 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.

R2C5 - removing <6> from <679> leaving <79>

R5C4 - removing <6> from <126> leaving <12>

R5C5 is the only square in row 5 that can be <6>

R3C5 is the only square in column 5 that can be <1>

Squares R3C8 (XYZ), R3C9 (XZ) and R8C8 (YZ) form an XYZ-Wing pattern on <5>. All squares that are buddies of all three squares cannot be <5>.

R1C8 - removing <5> from <359> leaving <39>

R1C6 is the only square in row 1 that can be <5>

R6C6 can only be <9>

R6C8 can only be <3>

R4C5 can only be <3>

R6C4 can only be <5>

R1C8 can only be <9>

R1C7 can only be <3>

R7C8 can only be <7>

R9C5 can only be <7>

R7C9 can only be <3>

R9C7 can only be <2>

R2C5 can only be <9>

R7C2 is the only square in row 7 that can be <2>

Squares R4C3, R4C9, R5C3 and R5C9 form a Type-1 Unique Rectangle on <49>.

R5C3 - removing <49> from <349> leaving <3>

R5C2 can only be <8>

R8C3 can only be <4>

R8C6 can only be <6>

R4C3 can only be <9>

R7C1 can only be <8>

R8C8 can only be <5>

R3C6 can only be <2>

R9C4 can only be <3>

R3C8 can only be <6>

R9C9 can only be <6>

R9C2 can only be <5>

R8C4 can only be <9>

R2C9 can only be <7>

R2C4 can only be <6>

R3C9 can only be <5>

R3C4 can only be <7>

R4C6 can only be <1>

R4C9 can only be <4>

R4C8 can only be <2>

R7C6 can only be <4>

R5C4 can only be <2>

R5C8 can only be <1>

R5C9 can only be <9>

R5C1 can only be <4>

R8C2 can only be <3>

R7C7 can only be <9>

R7C4 can only be <1>

R8C7 can only be <8>



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