Sep 29 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C6 is the only square in row 1 that can be <6>
R3C5 is the only square in row 3 that can be <8>
R7C2 is the only square in row 7 that can be <1>
R9C9 is the only square in row 9 that can be <6>
R2C3 is the only square in block 1 that can be <3>
R2C8 is the only square in row 2 that can be <1>
R3C8 can only be <7>
R2C7 is the only square in row 2 that can be <5>
R3C3 is the only square in row 3 that can be <1>
Intersection of row 2 with block 2. The value <2> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C4 - removing <2> from <2479> leaving <479>
Intersection of row 9 with block 7. The value <5> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C1 - removing <5> from <578> leaving <78>
R8C2 - removing <5> from <23457> leaving <2347>
Intersection of column 1 with block 1. The value <4> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R3C2 - removing <4> from <49> leaving <9>
R3C9 can only be <4>
R5C1 is the only square in column 1 that can be <9>
R5C8 is the only square in row 5 that can be <8>
R4C3 is the only square in row 4 that can be <8>
R9C3 can only be <2>
R9C1 is the only square in column 1 that can be <5>
R9C2 can only be <3>
R9C6 can only be <9>
R9C4 can only be <8>
R8C7 is the only square in row 8 that can be <8>
R7C1 is the only square in row 7 that can be <8>
R7C7 is the only square in row 7 that can be <7>
R1C9 is the only square in column 9 that can be <9>
Squares R4C6 and R5C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C5 - removing <23> from <23469> leaving <469>
R5C4 - removing <2> from <127> leaving <17>
R5C6 - removing <23> from <1237> leaving <17>
R6C4 - removing <2> from <2479> leaving <479>
R6C5 - removing <2> from <2469> leaving <469>
R5C5 is the only square in row 5 that can be <3>
R4C6 can only be <2>
R4C2 can only be <4>
R2C6 can only be <7>
R2C1 can only be <4>
R5C6 can only be <1>
R1C4 can only be <4>
R8C2 can only be <7>
R6C3 can only be <7>
R5C4 can only be <7>
R8C6 can only be <3>
R8C3 can only be <4>
R1C1 can only be <7>
R6C4 can only be <9>
R6C7 can only be <2>
R2C4 can only be <2>
R4C5 can only be <6>
R6C2 can only be <5>
R1C7 can only be <3>
R5C9 can only be <5>
R1C8 can only be <2>
R4C7 can only be <9>
R7C8 can only be <5>
R2C5 can only be <9>
R8C4 can only be <1>
R4C8 can only be <3>
R6C5 can only be <4>
R5C2 can only be <2>
R8C9 can only be <2>
R6C8 can only be <6>
R7C5 can only be <2>
R8C5 can only be <5>
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