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Daily Sudoku Answer 



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Apr 20 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s071200



Reasoning 



R5C4 can only be <1>

R8C2 can only be <1>

R5C6 can only be <9>

R5C3 can only be <2>

R4C5 can only be <6>

R6C5 can only be <3>

R5C5 can only be <8>

R1C9 is the only square in row 1 that can be <2>

R1C1 is the only square in row 1 that can be <6>

R1C3 is the only square in row 1 that can be <3>

R9C3 can only be <9>

R5C1 is the only square in row 5 that can be <4>

Squares R1C6 and R1C7 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R1C2 - removing <5> from <589> leaving <89>

R1C5 - removing <15> from <14579> leaving <479>

R1C8 - removing <5> from <4578> leaving <478>

Squares R7C1 and R9C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R9C1 - removing <78> from <2378> leaving <23>

Intersection of column 2 with block 1. The value <9> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C1 - removing <9> from <1589> leaving <158>

Squares R1C6 and R9C6 in column 6 and R1C7 and R9C7 in column 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in rows 1 and 9 can be removed.

R9C5 - removing <1> from <12457> leaving <2457>

R9C9 - removing <1> from <134568> leaving <34568>

Squares R3C5 and R3C9 in row 3, R4C1 and R4C9 in row 4 and R7C1 and R7C5 in row 7 form a Swordfish pattern on possibility <7>. All other instances of this possibility in columns 1, 5 and 9 can be removed.

R1C5 - removing <7> from <479> leaving <49>

R5C9 - removing <7> from <3567> leaving <356>

R9C5 - removing <7> from <2457> leaving <245>

Squares R3C5 (XYZ), R7C5 (XZ) and R1C6 (YZ) form an XYZ-Wing pattern on <1>. All squares that are buddies of all three squares cannot be <1>.

R2C5 - removing <1> from <1459> leaving <459>

Squares R1C5<49>, R2C5<459>, R8C5<245> and R9C5<245> in column 5 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <2459>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C5 - removing <5> from <157> leaving <17>

Squares R3C1 and R3C9 in row 3 and R6C1 and R6C9 in row 6 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 1 and 9 can be removed.

R2C1 - removing <5> from <158> leaving <18>

R2C9 - removing <5> from <1458> leaving <148>

R5C9 - removing <5> from <356> leaving <36>

R8C9 - removing <5> from <345> leaving <34>

R9C9 - removing <5> from <34568> leaving <3468>

Squares R2C9<148>, R5C9<36>, R7C9<18>, R8C9<34> and R9C9<3468> in column 9 form a comprehensive naked set. These 5 squares can only contain the 5 possibilities <13468>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C9 - removing <1> from <157> leaving <57>

Squares R3C5 (XY), R1C6 (XZ) and R3C9 (YZ) form an XY-Wing pattern on <5>. All squares that are buddies of both the XZ and YZ squares cannot be <5>.

R1C7 - removing <5> from <15> leaving <1>

R1C6 can only be <5>

R9C6 can only be <1>

R7C5 can only be <7>

R7C1 can only be <8>

R3C5 can only be <1>

R9C4 can only be <4>

R1C4 can only be <7>

R3C1 can only be <5>

R7C9 can only be <1>

R2C1 can only be <1>

R9C2 can only be <7>

R5C2 can only be <5>

R3C9 can only be <7>

R6C1 can only be <9>

R4C9 can only be <9>

R4C1 can only be <7>

R6C9 can only be <5>

R5C7 can only be <3>

R5C9 can only be <6>

R9C7 can only be <5>

R5C8 can only be <7>

R9C5 can only be <2>

R8C8 can only be <4>

R8C9 can only be <3>

R1C8 can only be <8>

R8C1 can only be <2>

R9C9 can only be <8>

R9C1 can only be <3>

R8C5 can only be <5>

R9C8 can only be <6>

R2C9 can only be <4>

R1C2 can only be <9>

R2C8 can only be <5>

R2C5 can only be <9>

R1C5 can only be <4>

R2C2 can only be <8>



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