Let F be an increasing real function defined for all x, 0 ≤ x ≤ 1, satisfying the conditions

(i) F(x/3) = F(x)/2,

(ii) F(1 − x) = 1 − F(x).

Determine F(173/1993) and F(1/13).

[Nordic MC 1993 Q 1][slightly edited]

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