May 25 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C5 can only be <8>
R5C7 can only be <4>
R5C3 can only be <2>
R6C6 can only be <2>
R6C9 can only be <7>
R6C5 can only be <5>
R6C7 can only be <1>
R4C7 can only be <9>
R4C8 can only be <2>
R1C8 is the only square in row 1 that can be <7>
R2C2 is the only square in column 2 that can be <9>
R7C3 is the only square in column 3 that can be <7>
R1C6 is the only square in column 6 that can be <8>
R6C2 is the only square in column 2 that can be <8>
R6C3 can only be <3>
R2C9 is the only square in block 3 that can be <5>
Squares R9C6 and R9C9 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C4 - removing <6> from <1367> leaving <137>
R9C7 - removing <6> from <567> leaving <57>
R9C8 - removing <4> from <14> leaving <1>
Intersection of row 1 with block 1. The values <45> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R2C1 - removing <4> from <1346> leaving <136>
R2C3 - removing <4> from <148> leaving <18>
R3C1 - removing <4> from <12346> leaving <1236>
R3C3 - removing <4> from <148> leaving <18>
R1C3 is the only square in column 3 that can be <4>
R4C3 is the only square in column 3 that can be <5>
R4C1 can only be <1>
Intersection of column 2 with block 7. The values <13> 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 <3> from <234> leaving <24>
Intersection of column 4 with block 2. The values <12> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R2C5 - removing <1> from <1346> leaving <346>
R3C5 - removing <1> from <1346> leaving <346>
Intersection of column 6 with block 8. The values <469> only appears in one or more of squares R7C6, R8C6 and R9C6 of column 6. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
R7C5 - removing <46> from <146> leaving <1>
R8C5 - removing <4> from <1347> leaving <137>
R8C2 is the only square in row 8 that can be <1>
R8C5 is the only square in row 8 that can be <3>
R9C4 can only be <7>
R9C7 can only be <5>
R4C4 can only be <6>
R9C2 can only be <3>
R7C7 can only be <6>
R4C5 can only be <7>
R1C4 can only be <2>
R3C7 can only be <8>
R9C9 can only be <4>
R9C6 can only be <6>
R1C2 can only be <5>
R3C3 can only be <1>
R8C7 can only be <7>
R2C8 can only be <4>
R1C1 can only be <6>
R7C2 can only be <2>
R2C5 can only be <6>
R3C8 can only be <9>
R3C4 can only be <3>
R2C3 can only be <8>
R2C4 can only be <1>
R3C9 can only be <6>
R8C8 can only be <8>
R3C1 can only be <2>
R3C5 can only be <4>
R7C9 can only be <9>
R8C1 can only be <4>
R7C6 can only be <4>
R8C9 can only be <2>
R8C6 can only be <9>
R7C1 can only be <5>
R2C1 can only be <3>
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