Nov 15 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C4 is the only square in row 6 that can be <7>
R3C5 is the only square in row 3 that can be <7>
R3C2 is the only square in row 3 that can be <1>
R2C5 is the only square in row 2 that can be <1>
R4C2 is the only square in row 4 that can be <7>
R7C8 is the only square in row 7 that can be <7>
R8C8 is the only square in row 8 that can be <1>
R9C4 is the only square in column 4 that can be <5>
R5C5 is the only square in column 5 that can be <3>
Squares R5C2 and R5C8 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C4 - removing <2> from <268> leaving <68>
R5C6 - removing <2> from <268> leaving <68>
Squares R1C5 and R9C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C5 - removing <2> from <289> leaving <89>
R8C5 - removing <26> from <2689> leaving <89>
Squares R5C4 and R5C6 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C4 - removing <6> from <26> leaving <2>
R4C6 - removing <6> from <1269> leaving <129>
R6C6 - removing <6> from <1269> leaving <129>
Squares R4C1, R4C3 and R4C7 in row 4 form a simple naked triplet. These 3 squares all contain the 3 possibilities <356>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C9 - removing <36> from <1369> leaving <19>
Squares R4C6 and R6C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C6 - removing <9> from <2489> leaving <248>
R8C6 - removing <9> from <24689> leaving <2468>
Squares R7C5 and R8C5 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C6 - removing <8> from <248> leaving <24>
R8C6 - removing <8> from <2468> leaving <246>
R5C6 is the only square in column 6 that can be <8>
R5C4 can only be <6>
R2C3 is the only square in row 2 that can be <6>
R2C4 is the only square in row 2 that can be <8>
R3C4 can only be <4>
R3C3 is the only square in row 3 that can be <8>
Squares R1C5 and R1C6 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C8 - removing <2> from <2345> leaving <345>
Squares R4C6, R4C9, R6C6 and R6C9 form a Type-1 Unique Rectangle on <19>.
R6C9 - removing <19> from <12369> leaving <236>
R6C6 is the only square in row 6 that can be <1>
R4C6 can only be <9>
R4C9 can only be <1>
R6C8 is the only square in row 6 that can be <9>
R2C2 is the only square in row 2 that can be <9>
R3C1 can only be <3>
R3C7 can only be <2>
R3C9 can only be <9>
R1C8 is the only square in row 1 that can be <3>
R8C5 is the only square in row 8 that can be <9>
R7C5 can only be <8>
R7C1 is the only square in row 7 that can be <9>
R7C3 is the only square in row 7 that can be <5>
R4C3 can only be <3>
R8C7 is the only square in row 8 that can be <8>
R8C6 is the only square in row 8 that can be <6>
R1C6 can only be <2>
R9C5 can only be <2>
R9C8 can only be <4>
R1C5 can only be <6>
R7C6 can only be <4>
R9C2 can only be <3>
R2C8 can only be <5>
R7C7 can only be <3>
R2C7 can only be <4>
R5C8 can only be <2>
R5C2 can only be <5>
R7C9 can only be <2>
R6C7 can only be <6>
R9C9 can only be <6>
R6C9 can only be <3>
R1C2 can only be <4>
R4C1 can only be <6>
R6C1 can only be <4>
R4C7 can only be <5>
R1C1 can only be <5>
R8C2 can only be <2>
R6C3 can only be <2>
R8C3 can only be <4>
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