Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result mathematically. a. while (n> 1) { if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd, // otherwise returns false i = 3 * n + 1; else for (i=1;i

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result
mathematically.
a. while (n> 1) {
if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd,
// otherwise returns false
i = 3 * n + 1;
else
for (i=1;i<n;i*=2)
func1(i);
n--; }//end while
Complexity
// complexity of func1 is constant
Why?
Transcribed Image Text:Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result mathematically. a. while (n> 1) { if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd, // otherwise returns false i = 3 * n + 1; else for (i=1;i<n;i*=2) func1(i); n--; }//end while Complexity // complexity of func1 is constant Why?
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