Mar 22 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C4 can only be <7>
R4C7 can only be <3>
R5C1 can only be <3>
R5C4 can only be <8>
R5C5 can only be <6>
R6C3 can only be <7>
R6C7 can only be <1>
R7C4 can only be <2>
R7C6 can only be <4>
R9C5 can only be <9>
R1C5 can only be <4>
R5C9 can only be <4>
R5C6 can only be <1>
R4C5 can only be <7>
R6C5 can only be <5>
R4C3 can only be <6>
R7C3 can only be <5>
R3C6 can only be <6>
R9C1 can only be <8>
R1C2 is the only square in row 1 that can be <1>
R2C2 is the only square in row 2 that can be <6>
R7C8 is the only square in row 7 that can be <1>
R8C8 is the only square in row 8 that can be <6>
R9C9 is the only square in row 9 that can be <5>
R2C7 is the only square in row 2 that can be <5>
R2C3 is the only square in row 2 that can be <8>
R3C7 is the only square in row 3 that can be <8>
Squares R7C7 and R8C7 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C9 - removing <7> from <237> leaving <23>
Intersection of row 1 with block 3. The value <3> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R3C8 - removing <3> from <349> leaving <49>
Intersection of column 2 with block 7. The values <27> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R8C1 - removing <7> from <479> leaving <49>
Squares R7C2, R7C7, R8C2 and R8C7 form a Type-1 Unique Rectangle on <79>.
R8C2 - removing <79> from <2379> leaving <23>
R8C7 is the only square in row 8 that can be <7>
R7C7 can only be <9>
R7C2 can only be <7>
R8C1 is the only square in row 8 that can be <9>
R1C1 can only be <7>
R1C9 can only be <3>
R2C1 can only be <4>
R1C8 can only be <9>
R8C9 can only be <2>
R2C8 can only be <2>
R3C3 can only be <3>
R2C9 can only be <7>
R9C8 can only be <3>
R3C2 can only be <9>
R8C3 can only be <4>
R8C2 can only be <3>
R9C2 can only be <2>
R3C8 can only be <4>
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