Add Collaze_Visualize.py

Collatz Sequence/Collaze-Visualize.py

@@ -0,0 +1,74 @@
+import time
+import matplotlib.pyplot as plt
+
+def collatz_sequence(n):
+    """Generate the Collatz sequence for n."""
+    steps = [n]
+    while n != 1:
+        n = n // 2 if n % 2 == 0 else 3 * n + 1
+        steps.append(n)
+    return steps
+
+
+def visualize(sequence, title="Collatz Sequence"):
+    plt.clf()
+    plt.plot(sequence, marker='o')
+    plt.title(title)
+    plt.xlabel("Step")
+    plt.ylabel("Value")
+    plt.yscale("log")  # makes visualization MUCH nicer
+    plt.grid(True)
+    plt.pause(0.01)
+
+
+def auto_mode(interval):
+    print("\nAuto mode started.")
+    print("Press SPACE in the plot window to stop.\n")
+
+    plt.ion()
+    stop = False
+
+    def on_key(event):
+        nonlocal stop
+        if event.key == ' ':
+            stop = True
+
+    fig = plt.figure()
+    fig.canvas.mpl_connect("key_press_event", on_key)
+
+    n = 1
+    while not stop:
+        seq = collatz_sequence(n)
+        visualize(seq, f"Collatz Sequence for n = {n}")
+        n += 1
+        time.sleep(interval)
+
+    plt.ioff()
+    plt.show()
+    print("Auto mode stopped.")
+
+
+# --- Main Program ---
+try:
+    num = int(input("Enter a positive integer (or -1 for auto mode): "))
+
+    if num == -1:
+        interval = float(input("Enter step interval time (seconds): "))
+        auto_mode(interval)
+
+    elif num <= 0:
+        print("Please enter a positive number greater than 0.")
+
+    else:
+        seq = collatz_sequence(num)
+        print("\nCollatz sequence:")
+        for i, value in enumerate(seq, start=1):
+            print(f"Step {i}: {value}")
+
+        plt.ion()
+        visualize(seq, f"Collatz Sequence for n = {num}")
+        plt.ioff()
+        plt.show()
+
+except ValueError:
+    print("Invalid input! Please enter a valid number.")

Multiply.py

@@ -1,4 +1,8 @@
 def product(a, b):
+    # Handle negative values
+    if b < 0:
+        return -product(a, -b)
+
     if a < b:
         return product(b, a)
     elif b != 0:
@@ -9,4 +13,4 @@ def product(a, b):
 
 a = int(input("Enter first number: "))
 b = int(input("Enter second number: "))
-print("Product is: ", product(a, b))
+print("Product is:", product(a, b))