Oct 29 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C7 can only be <9>
R7C3 can only be <5>
R1C3 can only be <3>
R9C3 can only be <7>
R5C3 can only be <4>
R2C1 is the only square in row 2 that can be <9>
R3C9 is the only square in row 3 that can be <4>
R4C6 is the only square in row 4 that can be <4>
R8C4 is the only square in row 8 that can be <3>
R3C8 is the only square in row 3 that can be <3>
R2C6 is the only square in row 2 that can be <3>
R8C1 is the only square in row 8 that can be <4>
R8C9 is the only square in row 8 that can be <2>
R7C1 is the only square in row 7 that can be <2>
R9C4 is the only square in row 9 that can be <5>
R9C9 is the only square in row 9 that can be <6>
R5C2 is the only square in column 2 that can be <5>
R2C8 is the only square in column 8 that can be <6>
R2C5 is the only square in block 2 that can be <1>
R2C9 can only be <5>
Squares R4C2 and R4C4 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C1 - removing <18> from <1378> leaving <37>
R4C5 - removing <8> from <789> leaving <79>
R4C9 - removing <18> from <13789> leaving <379>
Squares R5C8 and R6C8 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C7 - removing <1> from <178> leaving <78>
R5C9 - removing <1> from <1789> leaving <789>
R6C9 - removing <1> from <1378> leaving <378>
Squares R3C4 and R3C5 in row 3, R4C2 and R4C4 in row 4 and R8C2 and R8C5 in row 8 form a Swordfish pattern on possibility <8>. All other instances of this possibility in columns 2, 4 and 5 can be removed.
R5C4 - removing <8> from <1268> leaving <126>
R6C4 - removing <8> from <128> leaving <12>
R6C5 - removing <8> from <578> leaving <57>
R7C2 - removing <8> from <189> leaving <19>
R7C5 - removing <8> from <689> leaving <69>
Squares R6C4 and R6C8 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R6C1 - removing <1> from <1378> leaving <378>
Squares R6C4, R6C8, R5C4 and R5C8 form a Type-1 Unique Rectangle on <12>.
R5C4 - removing <12> from <126> leaving <6>
R3C4 can only be <8>
R4C4 can only be <1>
R4C2 can only be <8>
R6C4 can only be <2>
R6C8 can only be <1>
R5C8 can only be <2>
R8C2 can only be <9>
R8C5 can only be <8>
R7C2 can only be <1>
R7C9 can only be <8>
R9C1 can only be <8>
R9C7 can only be <1>
R1C7 can only be <7>
R1C9 can only be <1>
R5C7 can only be <8>
R5C6 can only be <9>
R5C9 can only be <7>
R7C6 can only be <6>
R4C5 can only be <7>
R5C1 can only be <1>
R6C9 can only be <3>
R6C1 can only be <7>
R4C9 can only be <9>
R7C5 can only be <9>
R1C6 can only be <5>
R1C1 can only be <6>
R6C6 can only be <8>
R3C5 can only be <6>
R3C1 can only be <5>
R4C1 can only be <3>
R6C5 can only be <5>
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