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// <![CDATA[ var ulObj = new Object(); ulObj.nimi = "fibo_arv"; ulObj.kirjel...

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// <![CDATA[

var ulObj = new Object();

ulObj.nimi = "fibo_arv";

ulObj.kirjeldus = "arvutab Binet' valemi põhjal " + "n" +"-nda Fibonacci arvu";

ulObj.kasEeldused = true;

ulObj.eeldused = "arvu astendamine (" + "a" + "**" + "n" + ", " + "kus a" + " on konstant) on keerukusega " + teeta() + "(log " + "n" +")";

ulObj.kasLisainfo = false;

//ulObj.lisainfo = "";

ulObj.programm = fibo_arv();

document.write(tookiirus_programm(ulObj));

// ]]>

Millistesse keerukusklassidesse kuulub funktsioon fibo_arv, mis arvutab Binet' valemi põhjal n-nda Fibonacci arvu? Eeldada, et arvu astendamine (a**n, kus a on konstant) on keerukusega Θ(log n).

Vali kõik sobivad vastused.

Keeles Python esitatud funktsioon:

from math import sqrt

def fibo_arv(n): # Binet' valem

phi1 = (1 + sqrt(5)) / 2

phi2 = (1 - sqrt(5)) / 2

return round((phi1 ** n - phi2 ** n) / sqrt(5))

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