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Daily Sudoku Answer 



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Jun 30 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s036171



Reasoning 



R7C4 can only be <9>

R8C2 can only be <5>

R7C8 can only be <2>

R7C9 can only be <6>

R7C5 can only be <1>

R8C7 can only be <9>

R8C3 can only be <2>

R4C7 can only be <7>

R9C7 can only be <3>

R9C1 can only be <9>

R9C2 can only be <1>

R2C7 can only be <6>

R5C7 can only be <1>

R7C2 can only be <3>

R1C4 is the only square in row 1 that can be <3>

R1C6 is the only square in row 1 that can be <2>

R1C2 is the only square in row 1 that can be <6>

R3C8 is the only square in row 3 that can be <9>

R2C3 is the only square in row 2 that can be <9>

R6C6 is the only square in row 6 that can be <1>

R8C5 is the only square in row 8 that can be <6>

R6C1 is the only square in row 6 that can be <6>

R5C6 is the only square in row 5 that can be <6>

R5C9 is the only square in row 5 that can be <9>

R4C6 is the only square in row 4 that can be <9>

Squares R2C1 and R3C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R4C1 - removing <5> from <235> leaving <23>

R5C1 - removing <5> from <235> leaving <23>

Squares R2C1 and R3C1 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C3 - removing <5> from <457> leaving <47>

Intersection of row 1 with block 3. The value <5> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C8 - removing <5> from <457> leaving <47>

Intersection of row 4 with block 5. The value <4> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <4> from <24578> leaving <2578>

R5C5 - removing <4> from <34578> leaving <3578>

Intersection of column 4 with block 5. The values <27> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.

R5C5 - removing <7> from <3578> leaving <358>

R6C5 - removing <7> from <578> leaving <58>

Squares R2C1, R3C1, R2C6 and R3C6 form a Type-2 Unique Rectangle on <58>.

R2C5 - removing <4> from <4578> leaving <578>

R3C5 - removing <4> from <4578> leaving <578>

R9C6 - removing <4> from <458> leaving <58>

R4C5 is the only square in column 5 that can be <4>

R4C1 is the only square in row 4 that can be <3>

R5C1 can only be <2>

R5C5 is the only square in row 5 that can be <3>

Squares R4C4, R4C9, R6C4 and R6C9 form a Type-4 Unique Rectangle on <25>.

R6C4 - removing <5> from <2578> leaving <278>

R6C9 - removing <5> from <258> leaving <28>

Squares R6C5 (XY), R4C4 (XZ) and R6C9 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.

R6C4 - removing <2> from <278> leaving <78>

R4C9 - removing <2> from <25> leaving <5>

R4C4 can only be <2>

R1C9 can only be <4>

R5C8 can only be <8>

R9C8 can only be <4>

R6C9 can only be <2>

R2C8 can only be <7>

R8C9 can only be <8>

R1C3 can only be <7>

R1C8 can only be <5>

R8C4 can only be <4>

R6C3 can only be <5>

R3C2 can only be <4>

R5C2 can only be <7>

R5C4 can only be <5>

R5C3 can only be <4>

R9C4 can only be <8>

R6C5 can only be <8>

R6C4 can only be <7>

R2C5 can only be <5>

R9C6 can only be <5>

R3C6 can only be <8>

R2C1 can only be <8>

R3C5 can only be <7>

R3C1 can only be <5>

R2C6 can only be <4>



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