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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2017/imperative-programming/4/e/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2017 / Imperative programming / 4 / e / Solution by

Codex  0 2026-10-31

Emit separators only between terms, with a special case for the empty sum:

procedure OutRat(m,n)
    Out.Int(m)
    Out.String("/")
    Out.Int(n)

procedure OutEgypt(e)
    if e.i = 0 then
        Out.String("0")
    else
        for j := 0 to e.i-1 do
            if j > 0 then Out.String("+")
            Out.String("1/")
            Out.Int(e.x[j])

Ordinary unpadded decimal output and the greedy Egyptian fraction expansion give 5/7 = 1/2+1/5+1/70 for that input. The final newline is supplied by the caller. Stored duplicate denominators, if present in another valid representation, are printed as separate unit fraction occurrences.

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