Case 3: Fibonacci numbers is famous formula in mathematics that generates a sequence of numbers in which the next number is computed based on the previous two numbers (1, 1, 2, 3, 5, 8, 13, 21, 34,...).

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Case 3: Fibonacci numbers is famous formula in mathematics that
generates a sequence of numbers in which the next number is computed
based on the previous two numbers (1, 1, 2, 3, 5, 8, 13, 21, 34,..).
Program 1 (recursive method)
Program 2 (Dynamic Programming method)
#include <iostream>
#include <iostream>
using namespace std;
using namespace std;
void fib(double A[], int n)
{
int fib(int n)
{
A[0]=0;A[1]=1;
for (int i=2;i<n;i++)
if (n<=1) return n;
else
A[i]=A[i-1]+A[i-2];
return fib(n-1)+fib(n-2); main()
{
}
main()
{
int n;
cout<<"input n:\n";
cin>>n;
double A[n];
int n;
cout<<"input n:\n";
cin>>n;
for (int i=0;i<n;i++)
cout<<fib(i)<<" ";
fib(A,n);
for (int i=0;i<n;i++)
cout<<A[i]<<endl;
}
}
Transcribed Image Text:Case 3: Fibonacci numbers is famous formula in mathematics that generates a sequence of numbers in which the next number is computed based on the previous two numbers (1, 1, 2, 3, 5, 8, 13, 21, 34,..). Program 1 (recursive method) Program 2 (Dynamic Programming method) #include <iostream> #include <iostream> using namespace std; using namespace std; void fib(double A[], int n) { int fib(int n) { A[0]=0;A[1]=1; for (int i=2;i<n;i++) if (n<=1) return n; else A[i]=A[i-1]+A[i-2]; return fib(n-1)+fib(n-2); main() { } main() { int n; cout<<"input n:\n"; cin>>n; double A[n]; int n; cout<<"input n:\n"; cin>>n; for (int i=0;i<n;i++) cout<<fib(i)<<" "; fib(A,n); for (int i=0;i<n;i++) cout<<A[i]<<endl; } }
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