Aug 20 - Super Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R8C9 can only be <9>
R9C8 can only be <8>
R8C8 can only be <4>
R7C7 can only be <2>
R3C3 is the only square in row 3 that can be <7>
R7C3 can only be <9>
R5C3 can only be <4>
R6C3 can only be <1>
R6C8 can only be <6>
R4C3 can only be <2>
R1C8 can only be <5>
R2C8 can only be <7>
R2C9 can only be <3>
R5C8 can only be <9>
R5C9 can only be <7>
R3C7 can only be <6>
R4C8 can only be <1>
R3C4 is the only square in row 3 that can be <9>
R4C2 is the only square in row 4 that can be <9>
R4C6 is the only square in row 4 that can be <6>
R7C4 is the only square in row 7 that can be <7>
R8C2 is the only square in row 8 that can be <7>
R2C2 is the only square in column 2 that can be <4>
Squares R8C1 and R8C4 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C5 - removing <23> from <1238> leaving <18>
R8C6 - removing <3> from <138> leaving <18>
Intersection of column 4 with block 5. The value <4> 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 this value.
R6C6 - removing <4> from <3458> leaving <358>
Squares R1C2 and R1C5 in row 1 and R9C2 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 2 and 5 can be removed.
R2C5 - removing <2> from <1256> leaving <156>
Squares R4C4, R4C7, R6C4 and R6C7 form a Type-4 Unique Rectangle on <34>.
R6C4 - removing <3> from <345> leaving <45>
R6C7 - removing <3> from <348> leaving <48>
Squares R3C5 and R3C6 in row 3, R6C2 and R6C6 in row 6 and R9C2 and R9C5 in row 9 form a Swordfish pattern on possibility <3>. All other instances of this possibility in columns 2, 5 and 6 can be removed.
R5C2 - removing <3> from <356> leaving <56>
R5C5 - removing <3> from <358> leaving <58>
Squares R6C4 (XY), R6C7 (XZ) and R5C5 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.
R5C7 - removing <8> from <38> leaving <3>
R6C6 - removing <8> from <358> leaving <35>
R5C1 can only be <6>
R4C7 can only be <4>
R4C4 can only be <3>
R6C7 can only be <8>
R5C2 can only be <5>
R2C1 can only be <2>
R5C5 can only be <8>
R6C2 can only be <3>
R8C5 can only be <1>
R6C6 can only be <5>
R9C2 can only be <2>
R6C4 can only be <4>
R2C6 can only be <1>
R7C6 can only be <4>
R7C5 can only be <5>
R3C6 can only be <3>
R8C6 can only be <8>
R9C5 can only be <3>
R1C2 can only be <6>
R8C1 can only be <3>
R3C5 can only be <4>
R8C4 can only be <2>
R1C5 can only be <2>
R2C4 can only be <5>
R2C5 can only be <6>
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