Mar 01 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C2 can only be <9>
R3C2 can only be <3>
R8C8 is the only square in row 8 that can be <7>
R7C6 is the only square in row 7 that can be <7>
R8C2 is the only square in column 2 that can be <6>
R9C6 is the only square in row 9 that can be <6>
Squares R3C6 and R3C8 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C4 - removing <29> from <1289> leaving <18>
R3C9 - removing <2> from <1278> leaving <178>
Intersection of column 6 with block 2. The value <2> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. 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 <2389> leaving <389>
Squares R7C2<45>, R7C8<245> and R7C9<245> in row 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <245>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C1 - removing <45> from <3459> leaving <39>
R7C4 - removing <25> from <2359> leaving <39>
R9C4 is the only square in column 4 that can be <2>
Intersection of column 4 with block 5. The value <5> 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.
R5C5 - removing <5> from <1459> leaving <149>
Intersection of column 7 with block 3. The value <2> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. 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 <2> from <2478> leaving <478>
R2C8 - removing <2> from <24> leaving <4>
R3C8 - removing <2> from <29> leaving <9>
R2C5 can only be <1>
R3C6 can only be <2>
R3C4 can only be <8>
R3C1 can only be <7>
R3C9 can only be <1>
R1C9 is the only square in row 1 that can be <7>
R5C1 is the only square in row 5 that can be <1>
R5C5 is the only square in row 5 that can be <9>
R6C6 can only be <4>
R4C6 can only be <3>
R1C6 can only be <9>
R1C4 can only be <3>
R1C5 can only be <4>
R7C4 can only be <9>
R7C1 can only be <3>
R6C3 is the only square in row 6 that can be <7>
R6C9 is the only square in row 6 that can be <6>
R4C3 is the only square in row 4 that can be <6>
R9C3 is the only square in column 3 that can be <9>
R9C9 is the only square in column 9 that can be <8>
R8C7 can only be <3>
R8C5 can only be <5>
R9C7 can only be <4>
R9C1 can only be <5>
R8C3 can only be <8>
R9C5 can only be <3>
R1C1 can only be <8>
R6C1 can only be <9>
R7C2 can only be <4>
R1C7 can only be <2>
R2C3 can only be <2>
R1C3 can only be <5>
R2C7 can only be <8>
R6C7 can only be <1>
R4C1 can only be <4>
R6C4 can only be <5>
R4C7 can only be <9>
R5C2 can only be <5>
R4C9 can only be <5>
R4C4 can only be <1>
R7C9 can only be <2>
R5C8 can only be <2>
R5C9 can only be <4>
R7C8 can only be <5>
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