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Jul 11 - Very Hard

Reasoning

R3C4 is the only square in row 3 that can be <8>

R4C9 is the only square in row 4 that can be <8>

R6C1 is the only square in row 6 that can be <6>

R8C7 is the only square in row 8 that can be <8>

R7C1 is the only square in row 7 that can be <8>

R9C6 is the only square in row 9 that can be <1>

R9C1 is the only square in column 1 that can be <3>

R5C9 is the only square in column 9 that can be <9>

R5C1 can only be <7>

R2C2 is the only square in column 2 that can be <7>

R2C3 is the only square in row 2 that can be <4>

R2C6 is the only square in row 2 that can be <6>

R6C9 is the only square in block 6 that can be <2>

R6C8 is the only square in row 6 that can be <7>

R4C2 is the only square in column 2 that can be <2>

R4C1 can only be <9>

R9C2 is the only square in column 2 that can be <9>

R9C3 can only be <5>

R7C3 can only be <2>

R7C7 is the only square in column 7 that can be <5>

Squares R8C8 and R8C9 in row 8 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.

R8C4 - removing <3> from <359> leaving <59>

R8C5 - removing <3> from <239> leaving <29>

R8C6 - removing <3> from <235> leaving <25>

Intersection of row 1 with block 3. The value <7> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R3C7 - removing <7> from <247> leaving <24>

R3C9 - removing <7> from <467> leaving <46>

Intersection of row 2 with block 2. The value <3> 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 <3> from <139> leaving <19>

Squares R8C8, R8C9, R1C8 and R1C9 form a Type-1 Unique Rectangle on <36>.

R1C9 - removing <36> from <367> leaving <7>

R1C7 can only be <2>

R9C9 can only be <4>

R9C7 can only be <7>

R3C9 can only be <6>

R1C1 can only be <1>

R3C7 can only be <4>

R3C3 can only be <9>

R8C9 can only be <3>

R1C8 can only be <3>

R8C8 can only be <6>

R1C4 can only be <9>

R2C1 can only be <2>

R1C3 can only be <6>

R8C4 can only be <5>

R8C6 can only be <2>

R8C5 can only be <9>

R3C6 can only be <7>

R3C5 can only be <2>

R7C6 can only be <3>

R7C4 can only be <4>

R4C6 can only be <5>

R4C8 can only be <4>

R4C5 can only be <3>

R5C8 can only be <5>

R5C2 can only be <4>

R7C5 can only be <7>

R6C4 can only be <1>

R2C5 can only be <1>

R6C2 can only be <5>

R6C5 can only be <4>

R2C4 can only be <3>

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