Upload end-sem pyq for DAA, november-december 2025. Provided by Ayush Kalaskar.

Codes/C++/Code-A1 (Fibonacci).cpp

@@ -3,24 +3,34 @@
 #include <iostream>
 using namespace std;
 
+int recursiveSteps = 0;
+int iterativeSteps = 0;
+
 // Recursive function for Fibonacci
 int fibRecursive(int n) {
+    recursiveSteps++;
     if (n <= 1)
-        return n;  // Base case: fib(0)=0, fib(1)=1
+        return n;  
     return fibRecursive(n - 1) + fibRecursive(n - 2);
 }
 
 // Non-recursive (Iterative) Fibonacci
-int fibIterative(int n) {
-    if (n <= 1)
-        return n;
+void fibIterative(int n) {
+    if (n <= 0)
+        return;
     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;
+        cout << next << " ";
         prev = curr;
         curr = next;
+        iterativeSteps++;
     }
-    return curr;
 }
 
 int main() {
@@ -29,22 +39,26 @@ int main() {
     cin >> n;
 
     cout << "\nFibonacci Series using Recursion: ";
-    for (int i = 0; i < n; i++)
+    for (int i = 0; i < n; i++) {
         cout << fibRecursive(i) << " ";
+    }
+    cout << "\nTotal Recursive Steps: " << recursiveSteps;
 
-    cout << "\nFibonacci Series using Iteration: ";
-    for (int i = 0; i < n; i++)
-        cout << fibIterative(i) << " ";
+    cout << "\n\nFibonacci Series using Iteration: ";
+    fibIterative(n);
+    cout << "\nTotal Iterative Steps: " << iterativeSteps;
 
     cout << endl;
     return 0;
 }
 
-// SAMPLE OUTPUT
+// SAMPLE OUTOUT
 /*
-* $ ./a.out 
 * Enter the number of terms: 5
 * 
 * Fibonacci Series using Recursion: 0 1 1 2 3 
+* Total Recursive Steps: 19
+* 
 * Fibonacci Series using Iteration: 0 1 1 2 3 
+* Total Iterative Steps: 3
 */

Codes/Code-A1.py

@@ -1,33 +1,50 @@
+# Code-A1 (Fibonacci)
 # Problem Statement: Write a program non-recursive and recursive program to calculate Fibonacci numbers and analyze their time and space complexity.
 
-# Non-recursion
-def fibonacci(n):
-    fib_series = []
-    a = 0
-    b = 1
+# Initalize global variables
+iteration_counter = 0
+recursion_counter = 0
+
+# Iteration
+def fibonacci_iteration(n):
+  fib_series = []           # For storing Fibonacci series
+  previous = 0              # Previous
+  current = 1               # Next
+  global iteration_counter  # Global iteration counter
+  iteration_counter = 0     # Initialize global iteration counter to 0
 
   for i in range(n):
-        fib_series.append(a)
-        a, b = b, a + b
+    fib_series.append(previous)
+    previous, current = current, previous + current
+    iteration_counter += 1
 
   return fib_series
 
 # Recursion
-def fibonacci_recursive(n):
-    if n <= 0:
-        return []
-    elif n == 1:
-        return [0]
-    elif n == 2:
-        return [0, 1]
-    else:
-        fib_series = fibonacci_recursive(n - 1)  # Get the series up to n-1
-        fib_series.append(fib_series[-1] + fib_series[-2])  # Append the next Fibonacci number
-        return fib_series
+def fibonacci_recursion(n):
+  global recursion_counter # Global recursion counter
+  recursion_counter += 1   # Increment recursion counter for each call
+
+  if (n <= 0):    # Handle n less than or equal to 0
+    return 0
+  elif (n <= 1):  # Handle n less than or equal to 1
+    return n
+  else:           # Recursive call
+    return fibonacci_recursion(n - 1) + fibonacci_recursion(n - 2)
 
-# Non-recursion
 n = int(input("Enter total numbers to print in fibonacci series:\t"))
-print("Fibonacci Series (non-recusive):\t", fibonacci(n))
 
-# Recursion
-print("Fibonacci Series (recusive):\t\t", fibonacci_recursive(n))
+# Fibonacci using iteration
+fib_series = fibonacci_iteration(n)
+print(f"Fibonacci using iteration:\t{fib_series}")
+print(f"Iteration counter:\t{iteration_counter}| Time Complexity: O(n) (linear growth)")
+
+print("="*80)
+
+# Fibonacci using recursion
+fib_series = []
+for i in range(n):
+  fib_series.append(fibonacci_recursion(i))
+print(f"Fibonacci using recursion:\t{fib_series}")
+print(f"Recursion counter:\t{recursion_counter} | Time Complexity: O(2^n) (exponential growth)")
+

Codes/Python/Code-A1-optimized.py

@@ -0,0 +1,46 @@
+# Problem Statement: Write a program non-recursive and recursive program to calculate Fibonacci numbers and analyze their time and space complexity.
+
+## NOTE: THIS IS A HEAVILY OPTIMIZED CODE FOR FIBONACCI.
+## NUMBER OF RECURSION CALLS (IN RECURSION) ARE LOWER THAN NUMBER OF ITERATIONS (IN ITERATION FUNCTION)
+
+iteration_counter = 0
+recursion_counter = 0
+
+# Non-recursion
+def fibonacci(n):
+    global iteration_counter
+    fib_series = []
+    a = 0
+    b = 1
+
+    for i in range(n):
+        fib_series.append(a)
+        a, b = b, a + b
+        iteration_counter += 1
+
+    return fib_series
+
+# Recursion
+def fibonacci_recursive(n):
+    global recursion_counter
+    recursion_counter += 1
+    if n <= 0:
+        return []
+    elif n == 1:
+        return [0]
+    elif n == 2:
+        return [0, 1]
+    else:
+        fib_series = fibonacci_recursive(n - 1)  # Get the series up to n-1
+        fib_series.append(fib_series[-1] + fib_series[-2])  # Append the next Fibonacci number
+        return fib_series
+
+# Non-recursion
+n = int(input("Enter total numbers to print in fibonacci series:\t"))
+print("Fibonacci Series (non-recusive):\t", fibonacci(n))
+print("Iteration counter:\t", iteration_counter)
+
+# Recursion
+print("Fibonacci Series (recusive):\t\t", fibonacci_recursive(n))
+print("Recursion counter:\t", recursion_counter)
+

README.md

@@ -41,6 +41,7 @@ This repository contains valuable resources for the Design and Analysis of Algor
 - [END-SEM](Question%20Papers/END-SEM)
 
 ### [IN-SEM PYQ Answers](Notes/IN-SEM%20PYQ%20Answers)
+### [END-SEM PYQ Answers](Notes/END-SEM%20PYQ%20Answers)
 
 ---