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Daily Sudoku Answer 



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Feb 07 - Super Hard
Puzzle Copyright © Kevin Stone

Share Link – www.brainbashers.com/s046023



Reasoning 



R2C9 is the only square in row 2 that can be <4>

R4C6 is the only square in row 4 that can be <1>

R7C6 can only be <9>

R7C4 can only be <5>

R9C5 can only be <1>

R7C5 can only be <7>

R5C8 is the only square in row 5 that can be <8>

R9C9 is the only square in row 9 that can be <8>

Intersection of row 5 with block 4. The value <2> 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 <2> from <23578> leaving <3578>

R4C2 - removing <2> from <235> leaving <35>

R6C1 - removing <2> from <24578> leaving <4578>

R6C2 - removing <2> from <245> leaving <45>

Squares R4C2<35>, R5C2<234>, R5C3<23> and R6C2<45> in block 4 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <2345>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C1 - removing <35> from <3578> leaving <78>

R6C1 - removing <45> from <4578> leaving <78>

R9C1 is the only square in column 1 that can be <4>

Intersection of column 1 with block 1. The value <5> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <5> from <2569> leaving <269>

Squares R3C1 and R3C7 in row 3 and R7C1 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 7 can be removed.

R2C1 - removing <1> from <139> leaving <39>

R8C1 - removing <1> from <139> leaving <39>

Squares R2C1 and R8C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C1 - removing <9> from <259> leaving <25>

R3C1 - removing <39> from <1359> leaving <15>

R7C1 - removing <3> from <123> leaving <12>

Squares R3C3 and R3C9 in row 3 and R7C3 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 3 and 9 can be removed.

R1C9 - removing <6> from <679> leaving <79>

Squares R1C8 (XYZ), R1C9 (XZ) and R9C8 (YZ) form an XYZ-Wing pattern on <9>. All squares that are buddies of all three squares cannot be <9>.

R2C8 - removing <9> from <139> leaving <13>

Intersection of row 2 with block 1. The value <9> 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.

R1C2 - removing <9> from <269> leaving <26>

Squares R3C3 (XY), R5C3 (XZ) and R1C2 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.

R5C2 - removing <2> from <234> leaving <34>

R5C3 is the only square in row 5 that can be <2>

R7C1 is the only square in row 7 that can be <2>

R1C1 can only be <5>

R1C5 can only be <9>

R3C1 can only be <1>

R1C9 can only be <7>

R5C5 can only be <4>

R3C4 can only be <8>

R1C8 can only be <6>

R3C6 can only be <4>

R4C4 can only be <2>

R3C5 can only be <5>

R6C6 can only be <8>

R6C4 can only be <9>

R5C2 can only be <3>

R6C1 can only be <7>

R1C2 can only be <2>

R9C8 can only be <9>

R5C7 can only be <9>

R2C2 can only be <9>

R4C2 can only be <5>

R3C7 can only be <3>

R6C8 can only be <5>

R4C1 can only be <8>

R6C2 can only be <4>

R6C9 can only be <2>

R4C9 can only be <3>

R9C2 can only be <6>

R2C1 can only be <3>

R8C2 can only be <1>

R3C3 can only be <6>

R3C9 can only be <9>

R7C7 can only be <1>

R2C8 can only be <1>

R4C8 can only be <7>

R7C9 can only be <6>

R8C9 can only be <5>

R8C8 can only be <3>

R7C3 can only be <3>

R8C1 can only be <9>



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