# Size of a Special Subset

Let $$A$$ be a subset of $$T = \{1, 2, \ldots, 100 \}$$ subject to the condition that if 2 distinct elements $$a$$ and $$b$$ are in $$A$$, then $$a+b$$ is not in $$A$$. What is the maximum value of $$|A|$$, which is the number of elements in $$A$$?

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