Jun 11 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C4 can only be <6>
R5C7 can only be <9>
R6C2 can only be <5>
R6C4 can only be <9>
R2C2 is the only square in row 2 that can be <9>
R3C8 is the only square in row 3 that can be <4>
R7C2 is the only square in row 7 that can be <4>
R8C8 is the only square in row 8 that can be <9>
R2C8 is the only square in column 8 that can be <8>
R8C1 is the only square in column 1 that can be <8>
Squares R4C2 and R4C4 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C5 - removing <7> from <267> leaving <26>
Squares R4C8 and R6C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C8 - removing <16> from <1356> leaving <35>
R7C8 - removing <1> from <137> leaving <37>
R9C8 - removing <6> from <567> leaving <57>
R7C7 is the only square in row 7 that can be <1>
R7C5 is the only square in row 7 that can be <2>
R4C5 can only be <6>
R8C6 can only be <4>
R8C4 can only be <7>
R5C6 can only be <5>
R4C8 can only be <1>
R6C5 can only be <3>
R4C6 can only be <2>
R6C8 can only be <6>
R5C5 can only be <7>
R2C6 can only be <3>
R6C6 can only be <1>
R3C5 can only be <5>
R4C4 can only be <8>
R2C7 can only be <2>
R4C2 can only be <7>
R5C4 can only be <4>
R5C3 can only be <8>
R3C2 is the only square in row 3 that can be <8>
Squares R9C1 and R9C8 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C9 - removing <5> from <256> leaving <26>
Squares R1C2 and R1C9 in row 1 and R9C2 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 2 and 9 can be removed.
R8C2 - removing <6> from <236> leaving <23>
R8C9 - removing <6> from <256> leaving <25>
Squares R1C2 and R8C7 form a remote naked pair. <36> can be removed from any square that is common to their groups.
R8C2 - removing <3> from <23> leaving <2>
R8C9 can only be <5>
R9C2 can only be <6>
R2C9 can only be <1>
R9C8 can only be <7>
R9C9 can only be <2>
R1C2 can only be <3>
R8C3 can only be <3>
R9C1 can only be <5>
R7C8 can only be <3>
R1C8 can only be <5>
R3C3 can only be <6>
R1C1 can only be <1>
R1C9 can only be <6>
R3C7 can only be <3>
R8C7 can only be <6>
R7C3 can only be <7>
R2C1 can only be <7>
R2C3 can only be <5>
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