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Daily Sudoku Answer 



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Mar 20 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s177482



Reasoning 



R1C1 can only be <9>

R4C2 is the only square in row 4 that can be <2>

R5C6 is the only square in row 5 that can be <3>

R2C6 is the only square in column 6 that can be <2>

Intersection of row 5 with block 6. The value <8> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R4C8 - removing <8> from <1678> leaving <167>

Intersection of column 1 with block 7. The value <4> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C2 - removing <4> from <34589> leaving <3589>

R8C2 - removing <4> from <1345689> leaving <135689>

R9C2 - removing <4> from <1348> leaving <138>

Intersection of block 6 with column 8. The values <16> 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 these values.

R1C8 - removing <1> from <123> leaving <23>

R2C8 - removing <1> from <134578> leaving <34578>

R3C8 - removing <1> from <14578> leaving <4578>

R8C8 - removing <1> from <1234789> leaving <234789>

R9C8 - removing <1> from <1348> leaving <348>

Squares R8C1<458>, R8C4<45> and R8C6<48> in row 8 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 row.

R8C2 - removing <58> from <135689> leaving <1369>

R8C5 - removing <458> from <3458> leaving <3>

R8C7 - removing <48> from <13478> leaving <137>

R8C8 - removing <48> from <234789> leaving <2379>

R8C9 - removing <8> from <1278> leaving <127>

Squares R1C2 and R1C9 in row 1 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 2 and 9 can be removed.

R2C2 - removing <1> from <135678> leaving <35678>

R2C9 - removing <1> from <178> leaving <78>

R3C2 - removing <1> from <1578> leaving <578>

R8C2 - removing <1> from <169> leaving <69>

R8C9 - removing <1> from <127> leaving <27>

Squares R1C2 and R1C8 in row 1 and R9C2 and R9C8 in row 9 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 2 and 8 can be removed.

R2C2 - removing <3> from <35678> leaving <5678>

R2C8 - removing <3> from <34578> leaving <4578>

R7C2 - removing <3> from <3589> leaving <589>

R7C8 - removing <3> from <3489> leaving <489>

Squares R2C2<5678>, R3C2<578>, R5C2<479>, R6C2<479>, R7C2<589> and R8C2<69> in column 2 form a comprehensive naked set. These 6 squares can only contain the 6 possibilities <456789>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C2 - removing <8> from <138> leaving <13>

Squares R7C3<39>, R8C2<69>, R8C3<169> and R9C2<13> in block 7 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1369>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C2 - removing <9> from <589> leaving <58>

Squares R8C7 (XY), R9C9 (XZ) and R5C7 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R7C7 - removing <8> from <348> leaving <34>

Squares R8C9 (XY), R1C9 (XZ) and R8C7 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R2C7 - removing <1> from <13478> leaving <3478>

R3C7 - removing <1> from <1478> leaving <478>

R9C9 - removing <1> from <18> leaving <8>

R9C1 can only be <4>

R2C9 can only be <7>

R8C9 can only be <2>

R1C9 can only be <1>

R9C8 can only be <3>

R9C2 can only be <1>

R1C8 can only be <2>

R7C7 can only be <4>

R1C2 can only be <3>

R7C8 can only be <9>

R3C7 can only be <8>

R7C3 can only be <3>

R8C8 can only be <7>

R8C7 can only be <1>

R6C8 can only be <1>

R2C7 can only be <3>

R5C7 can only be <7>

R5C3 can only be <9>

R4C8 can only be <6>

R4C4 can only be <1>

R5C8 can only be <8>

R5C2 can only be <4>

R8C3 can only be <6>

R8C2 can only be <9>

R2C3 can only be <1>

R3C3 can only be <7>

R3C2 can only be <5>

R4C5 can only be <8>

R4C6 can only be <7>

R7C5 can only be <5>

R6C6 can only be <4>

R5C4 can only be <6>

R6C2 can only be <7>

R8C6 can only be <8>

R7C2 can only be <8>

R6C5 can only be <9>

R8C4 can only be <4>

R2C4 can only be <9>

R8C1 can only be <5>

R2C5 can only be <4>

R6C4 can only be <5>

R2C8 can only be <5>

R3C5 can only be <1>

R2C1 can only be <8>

R3C8 can only be <4>

R2C2 can only be <6>



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