Oct 23 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C8 can only be <7>
R8C5 can only be <8>
R9C5 can only be <7>
R9C2 can only be <6>
R7C6 can only be <5>
R7C4 can only be <9>
R4C4 is the only square in row 4 that can be <5>
R4C6 is the only square in row 4 that can be <7>
R7C3 is the only square in row 7 that can be <7>
R3C9 is the only square in row 3 that can be <7>
R1C2 is the only square in row 1 that can be <7>
R1C1 is the only square in row 1 that can be <5>
R5C2 is the only square in row 5 that can be <5>
R9C8 is the only square in row 9 that can be <5>
Squares R7C1 and R8C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C1 - removing <34> from <2349> leaving <29>
Intersection of column 4 with block 5. The value <1> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C5 - removing <1> from <136> leaving <36>
R6C5 - removing <1> from <134> leaving <34>
Intersection of block 2 with row 3. The value <2> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.
R3C1 - removing <2> from <23469> leaving <3469>
R3C3 - removing <2> from <2469> leaving <469>
Intersection of block 6 with column 7. The value <3> only appears in one or more of squares R4C7, R5C7 and R6C7 of block 6. These squares are the ones that intersect with column 7. Thus, the other (non-intersecting) squares of column 7 cannot contain this value.
R3C7 - removing <3> from <3469> leaving <469>
R7C7 - removing <3> from <346> leaving <46>
R3C1 is the only square in row 3 that can be <3>
R7C1 can only be <4>
R2C2 can only be <4>
R7C7 can only be <6>
R8C2 can only be <3>
R7C9 can only be <3>
R2C8 is the only square in row 2 that can be <3>
R5C4 is the only square in row 5 that can be <4>
R3C4 can only be <2>
R6C5 can only be <3>
R4C5 can only be <6>
R3C6 can only be <6>
R6C4 can only be <1>
R3C3 can only be <9>
R5C6 can only be <8>
R2C5 can only be <1>
R4C3 can only be <1>
R5C9 can only be <1>
R6C6 can only be <2>
R5C1 can only be <6>
R4C7 can only be <3>
R6C7 can only be <8>
R6C3 can only be <4>
R9C7 can only be <9>
R3C7 can only be <4>
R8C9 can only be <2>
R1C5 can only be <4>
R1C7 can only be <1>
R1C8 can only be <2>
R9C3 can only be <2>
R2C1 can only be <2>
R8C1 can only be <9>
R8C8 can only be <4>
R2C9 can only be <6>
R9C9 can only be <8>
R9C1 can only be <1>
R1C3 can only be <6>
R1C9 can only be <9>
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