Nov 22 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C7 can only be <4>
R1C7 can only be <2>
R3C3 is the only square in row 3 that can be <2>
R9C9 is the only square in row 9 that can be <3>
R6C2 is the only square in row 6 that can be <3>
R4C7 is the only square in row 4 that can be <3>
R6C5 is the only square in row 6 that can be <2>
R5C2 is the only square in row 5 that can be <2>
R9C6 is the only square in row 9 that can be <2>
R2C3 is the only square in column 3 that can be <6>
R2C6 can only be <3>
R2C1 can only be <1>
R3C6 can only be <6>
R3C8 can only be <7>
R1C6 can only be <4>
R3C5 can only be <5>
R1C9 can only be <6>
R5C6 can only be <9>
R3C1 can only be <3>
R1C4 can only be <7>
R4C5 can only be <6>
R1C5 can only be <1>
R5C5 can only be <4>
R5C4 can only be <3>
R5C8 is the only square in row 5 that can be <6>
R7C4 is the only square in row 7 that can be <6>
Intersection of row 4 with block 4. The value <5> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <5> from <578> leaving <78>
R5C3 - removing <5> from <157> leaving <17>
Intersection of column 3 with block 7. The value <5> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C2 - removing <5> from <589> leaving <89>
R9C1 - removing <5> from <5789> leaving <789>
Intersection of row 7 with block 9. The value <5> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C7 - removing <5> from <59> leaving <9>
R8C9 - removing <5> from <457> leaving <47>
Squares R1C1, R1C2, R4C1 and R4C2 form a Type-2 Unique Rectangle on <59>.
R5C1 - removing <8> from <78> leaving <7>
R4C8 - removing <8> from <89> leaving <9>
R6C8 can only be <4>
R5C3 can only be <1>
R5C9 can only be <5>
R6C3 can only be <9>
R5C7 can only be <8>
R7C9 can only be <7>
R6C9 can only be <1>
R9C8 can only be <8>
R7C5 can only be <9>
R8C9 can only be <4>
R8C4 can only be <5>
R9C1 can only be <9>
R7C7 can only be <5>
R7C2 can only be <8>
R9C5 can only be <7>
R8C3 can only be <7>
R9C4 can only be <4>
R1C1 can only be <5>
R9C3 can only be <5>
R1C2 can only be <9>
R4C1 can only be <8>
R4C2 can only be <5>
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