Added basic fibonacci code in python (code-a1)

Codes/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)
+

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)")
+