C++ ONLY
a) Write a non-recursive implementation of Fibonacci function that uses stack (you can use STL stack).
b) Calculate the complexity of your algorithm.
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#include <bits/stdc++.h>
using namespace std;
int Fibonacci(int n)
{
stack <int>s ;
s.push(0);
n--;
s.push(1);
n--;
while(n)
{
int top,belowTop,current;
top= s.top();
s.pop();
belowTop= s.top();
current= top+ belowTop;
s.push(top);
s.push(current);
n--;
}
return s.top();
}
int main() {
cout<<Fibonacci(6);
return 0;
}

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The following
Implementation of the Fibonacci function is a
correct, but inefficient,
def fibonacci(n):
if n <= 2:
return 1
else:
return fib(n - 1) +
fib(n - 2)
In more details, the
code shown runs very slowly for even relatively small values of
n; it can take minutes or hours to compute even the 40th
or 50th Fibonacci number. The code is inefficient because it makes
too many recursive calls. It ends up recomputing each Fibonacci
number many times....
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