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Let $F$ be an increasing real function defined for $0 \leq x \leq 1$ such that

(i) $F(x / 3)=F(x) / 2$ and

(ii) $F(1-x)=1-F(x)$ for all $x$.

Find $F\left(\frac{173}{1993}\right)$ and $F\left(\frac{1}{13}\right)$
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