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Nov 21 - Hard

## Reasoning

R1C5 is the only square in row 1 that can be <2>

R1C9 is the only square in row 1 that can be <7>

R4C7 is the only square in row 4 that can be <2>

R5C1 is the only square in row 5 that can be <9>

R3C4 is the only square in row 3 that can be <9>

R8C8 is the only square in row 8 that can be <9>

R2C2 is the only square in row 2 that can be <9>

R1C7 is the only square in row 1 that can be <9>

R1C8 is the only square in row 1 that can be <1>

R1C2 is the only square in row 1 that can be <6>

R9C9 is the only square in row 9 that can be <2>

R8C6 is the only square in row 8 that can be <2>

R9C1 is the only square in column 1 that can be <7>

R9C3 is the only square in column 3 that can be <4>

R7C5 is the only square in column 5 that can be <4>

R9C5 is the only square in column 5 that can be <8>

R2C4 is the only square in column 4 that can be <8>

R2C6 is the only square in row 2 that can be <7>

Squares R3C5 and R3C6 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C1 - removing <3> from <345> leaving <45>

R3C9 - removing <6> from <456> leaving <45>

Squares R2C1 and R3C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C1 - removing <5> from <158> leaving <18>

R8C1 - removing <5> from <1358> leaving <138>

Intersection of row 5 with block 6. The value <1> only appears in one or more of squares R5C7, R5C8 and R5C9 of row 5. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R6C7 - removing <1> from <16> leaving <6>

R5C5 is the only square in row 5 that can be <6>

R3C5 can only be <3>

R3C6 can only be <6>

R7C6 can only be <1>

R7C1 can only be <8>

R4C6 can only be <4>

R8C4 can only be <5>

R7C4 can only be <6>

R6C6 can only be <3>

R1C1 can only be <3>

R7C9 can only be <5>

R3C9 can only be <4>

R5C9 can only be <1>

R9C7 can only be <1>

R9C8 can only be <6>

R9C2 can only be <5>

R5C7 can only be <5>

R8C9 can only be <8>

R1C3 can only be <8>

R8C1 can only be <1>

R6C3 can only be <7>

R3C1 can only be <5>

R2C9 can only be <6>

R2C8 can only be <5>

R5C3 can only be <3>

R4C8 can only be <8>

R6C4 can only be <1>

R4C3 can only be <5>

R6C2 can only be <8>

R4C4 can only be <7>

R8C2 can only be <3>

R2C1 can only be <4>

R4C2 can only be <1>

R6C8 can only be <4>

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