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Daily Sudoku Answer 



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Sep 19 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s025179



Reasoning 



R2C6 can only be <8>

R8C4 can only be <2>

R9C7 can only be <8>

R5C4 can only be <5>

R9C3 can only be <4>

R2C4 can only be <7>

R9C5 can only be <7>

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

R2C8 is the only square in row 2 that can be <4>

R8C3 is the only square in row 8 that can be <8>

R2C7 is the only square in column 7 that can be <2>

Squares R3C8 and R3C9 in row 3 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 row.

R3C2 - removing <5> from <1257> leaving <127>

R3C5 - removing <5> from <15> leaving <1>

Squares R4C5 and R5C6 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C5 - removing <49> from <2489> leaving <28>

Intersection of column 3 with block 4. The values <23> 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 <2> from <267> leaving <67>

R5C2 - removing <23> from <123467> leaving <1467>

R6C2 - removing <23> from <2357> leaving <57>

Intersection of column 7 with block 6. The values <35> only appears in one or more of squares R4C7, R5C7 and R6C7 of column 7. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C8 - removing <5> from <1569> leaving <169>

R6C8 - removing <5> from <578> leaving <78>

Squares R1C3<56>, R2C3<156> and R4C3<156> in column 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <156>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C3 - removing <16> from <1236> leaving <23>

R6C3 - removing <5> from <235> leaving <23>

Squares R5C1 and R7C1 in column 1 and R5C9 and R7C9 in column 9 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 5 and 7 can be removed.

R5C2 - removing <6> from <1467> leaving <147>

R7C2 - removing <6> from <236> leaving <23>

R5C8 - removing <6> from <16789> leaving <1789>

R7C8 - removing <6> from <569> leaving <59>

Squares R1C3, R1C5, R2C3 and R2C5 form a Type-1 Unique Rectangle on <56>.

R2C3 - removing <56> from <156> leaving <1>

Squares R4C3<56>, R5C1<67> and R6C2<57> in block 4 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <567>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C2 - removing <56> from <1456> leaving <14>

R5C2 - removing <7> from <147> leaving <14>

Squares R5C9 (XY), R5C1 (XZ) and R6C8 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.

R6C2 - removing <7> from <57> leaving <5>

R5C8 - removing <7> from <1789> leaving <189>

R6C7 can only be <3>

R2C2 can only be <6>

R4C3 can only be <6>

R6C3 can only be <2>

R2C5 can only be <5>

R8C2 can only be <3>

R1C3 can only be <5>

R1C5 can only be <6>

R5C1 can only be <7>

R3C1 can only be <2>

R6C5 can only be <8>

R5C3 can only be <3>

R6C8 can only be <7>

R5C5 can only be <2>

R7C2 can only be <2>

R3C2 can only be <7>

R7C1 can only be <6>

R7C9 can only be <5>

R7C8 can only be <9>

R3C9 can only be <8>

R3C8 can only be <5>

R5C9 can only be <6>

R7C5 can only be <3>

R4C8 can only be <1>

R8C7 can only be <1>

R8C8 can only be <6>

R5C7 can only be <9>

R4C2 can only be <4>

R5C8 can only be <8>

R5C6 can only be <4>

R4C7 can only be <5>

R4C5 can only be <9>

R5C2 can only be <1>

R8C5 can only be <4>

R8C6 can only be <9>



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