Oct 25 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C6 is the only square in row 3 that can be <7>
R2C1 is the only square in row 2 that can be <7>
R6C9 is the only square in row 6 that can be <7>
R4C6 is the only square in block 5 that can be <2>
R4C1 is the only square in row 4 that can be <1>
R5C9 is the only square in block 6 that can be <6>
R5C1 can only be <5>
R5C8 is the only square in row 5 that can be <9>
R5C2 is the only square in row 5 that can be <8>
R4C2 can only be <3>
R2C7 is the only square in column 7 that can be <3>
R2C6 is the only square in row 2 that can be <6>
R1C7 is the only square in row 1 that can be <6>
R6C8 is the only square in column 8 that can be <3>
R6C4 can only be <5>
Squares R9C6 and R9C8 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C3 - removing <58> from <24568> leaving <246>
R9C4 - removing <8> from <68> leaving <6>
R9C5 - removing <5> from <257> leaving <27>
R9C7 - removing <58> from <45789> leaving <479>
Intersection of row 2 with block 3. The value <8> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C9 - removing <8> from <24589> leaving <2459>
Intersection of column 1 with block 7. The values <49> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R7C3 - removing <4> from <34568> leaving <3568>
R9C3 - removing <4> from <24> leaving <2>
R9C5 can only be <7>
R6C3 can only be <6>
R8C1 can only be <9>
R6C1 can only be <2>
R9C1 can only be <4>
R9C7 can only be <9>
R7C1 can only be <6>
R3C9 is the only square in row 3 that can be <2>
R1C2 is the only square in row 1 that can be <2>
R3C4 is the only square in row 3 that can be <9>
R1C9 is the only square in row 1 that can be <9>
R7C7 is the only square in row 7 that can be <4>
R3C7 can only be <5>
R3C8 can only be <1>
R4C7 can only be <8>
R3C3 can only be <4>
R2C8 can only be <8>
R4C9 can only be <5>
R8C7 can only be <7>
R8C9 can only be <8>
R8C2 can only be <5>
R2C9 can only be <4>
R9C8 can only be <5>
R9C6 can only be <8>
R8C3 can only be <3>
R7C2 can only be <7>
R8C4 can only be <1>
R7C3 can only be <8>
R8C5 can only be <2>
R7C4 can only be <3>
R7C6 can only be <5>
R5C4 can only be <4>
R1C6 can only be <1>
R1C3 can only be <5>
R5C6 can only be <3>
R2C5 can only be <5>
R2C3 can only be <1>
R1C5 can only be <4>
R5C5 can only be <1>
R1C4 can only be <8>
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