But since $ D $ must be divisible by 9, we list all multiples of 9 in [100,199]:

February 22, 2026

But since $ D $ must be divisible by 9, we list all multiples of 9 in [100,199]:

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But actually, we just need that $ B $ divides some multiple of 9 in that interval â which is always possible unless $ B $ is too large.
But actually, the real constraint is: for the model to process full batches, $ B $ must divide $ D $, and $ D $ divisible by 9. So $ B $ must divide a multiple of 9. But every integer divides some multiple of 9 (e.g., $ D = B \cdot 9 $, but we require $ B $ divisible by 11).
Better approach: we are to find the smallest $ B $ divisible by 11 such that $ B $ divides some $ D \in [100,199] $ with $ 9 \mid D $.
108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198
Now check which of these are divisible by 11.
Ã· 11 â 9.82 â not

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