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9 changed files with 27 additions and 12 deletions
+26 -12
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@@ -3,24 +3,34 @@
#include <iostream> #include <iostream>
using namespace std; using namespace std;
int recursiveSteps = 0;
int iterativeSteps = 0;
// Recursive function for Fibonacci // Recursive function for Fibonacci
int fibRecursive(int n) { int fibRecursive(int n) {
recursiveSteps++;
if (n <= 1) if (n <= 1)
return n; // Base case: fib(0)=0, fib(1)=1 return n;
return fibRecursive(n - 1) + fibRecursive(n - 2); return fibRecursive(n - 1) + fibRecursive(n - 2);
} }
// Non-recursive (Iterative) Fibonacci // Non-recursive (Iterative) Fibonacci
int fibIterative(int n) { void fibIterative(int n) {
if (n <= 1) if (n <= 0)
return n; return;
int prev = 0, curr = 1, next; int prev = 0, curr = 1, next;
for (int i = 2; i <= n; i++) { cout << prev << " ";
if (n == 1)
return;
cout << curr << " ";
for (int i = 2; i < n; i++) {
next = prev + curr; next = prev + curr;
cout << next << " ";
prev = curr; prev = curr;
curr = next; curr = next;
iterativeSteps++;
} }
return curr;
} }
int main() { int main() {
@@ -29,22 +39,26 @@ int main() {
cin >> n; cin >> n;
cout << "\nFibonacci Series using Recursion: "; cout << "\nFibonacci Series using Recursion: ";
for (int i = 0; i < n; i++) for (int i = 0; i < n; i++) {
cout << fibRecursive(i) << " "; cout << fibRecursive(i) << " ";
}
cout << "\nTotal Recursive Steps: " << recursiveSteps;
cout << "\nFibonacci Series using Iteration: "; cout << "\n\nFibonacci Series using Iteration: ";
for (int i = 0; i < n; i++) fibIterative(n);
cout << fibIterative(i) << " "; cout << "\nTotal Iterative Steps: " << iterativeSteps;
cout << endl; cout << endl;
return 0; return 0;
} }
// SAMPLE OUTPUT // SAMPLE OUTOUT
/* /*
* $ ./a.out
* Enter the number of terms: 5 * Enter the number of terms: 5
* *
* Fibonacci Series using Recursion: 0 1 1 2 3 * Fibonacci Series using Recursion: 0 1 1 2 3
* Total Recursive Steps: 19
*
* Fibonacci Series using Iteration: 0 1 1 2 3 * Fibonacci Series using Iteration: 0 1 1 2 3
* Total Iterative Steps: 3
*/ */
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+1
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@@ -41,6 +41,7 @@ This repository contains valuable resources for the Design and Analysis of Algor
- [END-SEM](Question%20Papers/END-SEM) - [END-SEM](Question%20Papers/END-SEM)
### [IN-SEM PYQ Answers](Notes/IN-SEM%20PYQ%20Answers) ### [IN-SEM PYQ Answers](Notes/IN-SEM%20PYQ%20Answers)
### [END-SEM PYQ Answers](Notes/END-SEM%20PYQ%20Answers)
--- ---