Aug 16 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R9C6 can only be <9>
R6C6 can only be <1>
R6C1 can only be <8>
R4C6 can only be <7>
R1C6 can only be <4>
R5C6 can only be <5>
R1C1 is the only square in row 1 that can be <5>
R4C5 is the only square in row 4 that can be <8>
R5C5 is the only square in row 5 that can be <4>
R7C2 is the only square in row 7 that can be <6>
R7C7 is the only square in row 7 that can be <5>
R8C2 is the only square in row 8 that can be <5>
R9C3 is the only square in row 9 that can be <8>
R1C4 is the only square in column 4 that can be <1>
Squares R2C5 and R3C5 in column 5 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 column.
R6C5 - removing <9> from <29> leaving <2>
R7C9 is the only square in row 7 that can be <2>
R9C4 is the only square in row 9 that can be <2>
Intersection of column 2 with block 1. The value <9> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C3 - removing <9> from <379> leaving <37>
R2C3 - removing <9> from <13479> leaving <1347>
R3C3 - removing <9> from <12479> leaving <1247>
Intersection of row 1 with block 3. The value <9> 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.
R2C7 - removing <9> from <1479> leaving <147>
R2C8 - removing <9> from <1379> leaving <137>
R3C7 - removing <9> from <146789> leaving <14678>
R3C8 - removing <9> from <1789> leaving <178>
R3C9 - removing <9> from <1469> leaving <146>
Intersection of column 8 with block 9. The value <9> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C7 - removing <9> from <149> leaving <14>
R1C7 is the only square in column 7 that can be <9>
R1C9 can only be <3>
R1C3 can only be <7>
R9C9 can only be <4>
R9C7 can only be <7>
R8C7 can only be <1>
R8C5 can only be <3>
R9C1 can only be <3>
R2C7 can only be <4>
R8C8 can only be <9>
R7C5 can only be <1>
R8C3 can only be <4>
R7C8 can only be <3>
R4C1 can only be <1>
R7C1 can only be <7>
R7C3 can only be <9>
R4C9 can only be <9>
R3C1 can only be <4>
R4C4 can only be <3>
R6C9 can only be <6>
R6C4 can only be <9>
R3C9 can only be <1>
R5C7 can only be <8>
R3C3 can only be <2>
R2C8 can only be <7>
R5C4 can only be <6>
R5C8 can only be <1>
R3C7 can only be <6>
R2C5 can only be <9>
R3C8 can only be <8>
R3C2 can only be <9>
R5C3 can only be <3>
R5C2 can only be <2>
R2C3 can only be <1>
R2C2 can only be <3>
R3C5 can only be <7>
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