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Daily Sudoku Answer 



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Jul 26 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s045726



Reasoning 



R5C5 can only be <2>

R6C2 can only be <6>

R5C3 can only be <1>

R5C7 can only be <6>

R4C2 can only be <3>

R1C6 is the only square in row 1 that can be <6>

R4C7 is the only square in row 4 that can be <9>

R7C1 is the only square in row 7 that can be <6>

Squares R2C6 and R2C7 in row 2 and R8C6 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 6 and 7 can be removed.

R1C7 - removing <1> from <137> leaving <37>

R3C6 - removing <1> from <1249> leaving <249>

R7C6 - removing <1> from <1289> leaving <289>

R9C6 - removing <1> from <12489> leaving <2489>

R9C7 - removing <1> from <123> leaving <23>

Squares R1C1 and R1C9 in row 1 and R9C1 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 9 can be removed.

R3C1 - removing <1> from <137> leaving <37>

R3C9 - removing <1> from <1345> leaving <345>

R4C9 - removing <1> from <1258> leaving <258>

R7C9 - removing <1> from <1238> leaving <238>

R4C8 is the only square in row 4 that can be <1>

Squares R2C6 (XY), R3C5 (XZ) and R2C3 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.

R2C4 - removing <3> from <345> leaving <45>

R3C1 - removing <3> from <37> leaving <7>

R3C8 can only be <4>

R6C8 can only be <8>

R7C8 can only be <7>

R1C7 is the only square in row 1 that can be <7>

R4C3 is the only square in row 4 that can be <8>

R6C9 is the only square in row 6 that can be <4>

R6C3 is the only square in row 6 that can be <7>

R8C4 is the only square in row 8 that can be <7>

Squares R1C1 and R1C9 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C3 - removing <3> from <349> leaving <49>

R1C4 - removing <3> from <349> leaving <49>

Squares R4C1 and R6C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C1 - removing <2> from <123> leaving <13>

Intersection of block 2 with row 3. The values <23> 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.

R3C9 - removing <3> from <35> leaving <5>

R4C9 can only be <2>

R4C1 can only be <5>

R6C7 can only be <5>

R6C1 can only be <2>

R2C4 is the only square in row 2 that can be <5>

Intersection of row 7 with block 8. The value <2> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R8C6 - removing <2> from <12> leaving <1>

R9C4 - removing <2> from <2349> leaving <349>

R9C6 - removing <2> from <2489> leaving <489>

R2C6 can only be <4>

R7C5 can only be <3>

R2C3 can only be <3>

R1C4 can only be <9>

R7C9 can only be <8>

R3C5 can only be <1>

R1C3 can only be <4>

R7C4 can only be <2>

R9C4 can only be <4>

R3C6 can only be <2>

R2C7 can only be <1>

R8C3 can only be <2>

R1C1 can only be <1>

R1C9 can only be <3>

R3C2 can only be <9>

R3C4 can only be <3>

R7C6 can only be <9>

R7C2 can only be <1>

R9C6 can only be <8>

R8C7 can only be <3>

R9C3 can only be <9>

R9C7 can only be <2>

R9C9 can only be <1>

R9C1 can only be <3>



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