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Daily Sudoku Answer 



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Apr 17 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s080073



Reasoning 



R1C2 can only be <7>

R2C5 can only be <3>

R1C1 can only be <4>

R1C6 can only be <1>

R1C9 can only be <3>

R3C5 can only be <4>

R3C4 can only be <6>

R2C8 is the only square in row 2 that can be <7>

R8C8 can only be <4>

R9C8 can only be <6>

R9C9 can only be <2>

R8C9 can only be <5>

R7C9 can only be <8>

R7C7 can only be <7>

R2C9 can only be <9>

R2C1 can only be <6>

R3C9 can only be <1>

R3C8 can only be <8>

R5C9 can only be <4>

R6C9 can only be <6>

R2C2 can only be <8>

R3C7 can only be <2>

R7C6 is the only square in row 7 that can be <4>

Intersection of column 3 with block 4. The values <47> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R5C1 - removing <7> from <1379> leaving <139>

Intersection of column 6 with block 5. The values <589> only appears in one or more of squares R4C6, R5C6 and R6C6 of column 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 <9> from <129> leaving <12>

R6C5 - removing <9> from <1279> leaving <127>

Squares R4C1<1239>, R4C2<1269>, R4C3<469>, R4C4<134>, R4C5<12> and R4C8<19> in row 4 form a comprehensive naked set. These 6 squares can only contain the 6 possibilities <123469>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C6 - removing <9> from <589> leaving <58>

R4C7 - removing <3> from <358> leaving <58>

Squares R5C1 and R5C4 in row 5 and R9C1 and R9C4 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 4 can be removed.

R4C1 - removing <1> from <1239> leaving <239>

R4C4 - removing <1> from <134> leaving <34>

R6C4 - removing <1> from <1347> leaving <347>

R7C1 - removing <1> from <159> leaving <59>

Squares R3C1 and R7C1 in column 1 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.

R4C1 - removing <9> from <239> leaving <23>

R5C1 - removing <9> from <139> leaving <13>

R8C1 - removing <9> from <279> leaving <27>

Squares R3C1, R3C3, R7C1 and R7C3 form a Type-1 Unique Rectangle on <59>.

R7C3 - removing <59> from <569> leaving <6>

R4C2 is the only square in row 4 that can be <6>

R7C1 is the only square in row 7 that can be <5>

R3C1 can only be <9>

R3C3 can only be <5>

Intersection of column 3 with block 4. The values <479> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R6C2 - removing <9> from <129> leaving <12>

Squares R4C1 (XY), R4C5 (XZ) and R5C1 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R5C4 - removing <1> from <137> leaving <37>

R5C1 is the only square in row 5 that can be <1>

R9C1 can only be <7>

R6C2 can only be <2>

R8C2 can only be <9>

R4C1 can only be <3>

R8C5 can only be <7>

R7C2 can only be <1>

R8C1 can only be <2>

R6C5 can only be <1>

R9C4 can only be <1>

R7C5 can only be <9>

R4C4 can only be <4>

R4C3 can only be <9>

R6C8 can only be <9>

R4C5 can only be <2>

R6C6 can only be <5>

R4C8 can only be <1>

R5C3 can only be <7>

R5C4 can only be <3>

R6C3 can only be <4>

R5C7 can only be <8>

R6C4 can only be <7>

R5C6 can only be <9>

R4C7 can only be <5>

R6C7 can only be <3>

R4C6 can only be <8>



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