From 48e31ceaecba61842491c2fc22d363396a11892d Mon Sep 17 00:00:00 2001
From: BhavanKumarGM <gmbhavankumar@gmail.com>
Date: Mon, 18 Aug 2025 17:12:35 +0530
Subject: [PATCH]  step-by-step Collatz sequence

---
 Collatz Sequence/Collatz Sequence.py | 42 ++++++++++++----------------
 1 file changed, 18 insertions(+), 24 deletions(-)

diff --git a/Collatz Sequence/Collatz Sequence.py b/Collatz Sequence/Collatz Sequence.py
index d9e29e52332..eafc7422397 100644
--- a/Collatz Sequence/Collatz Sequence.py	
+++ b/Collatz Sequence/Collatz Sequence.py	
@@ -1,29 +1,23 @@
-def collatz_steps(n):
-    times = 0
+def collatz_sequence(n):
+    """Generate and print the Collatz sequence for n."""
+    steps = [n]
     while n != 1:
         if n % 2 == 0:
-            print(f"{n} / 2", end=" ")
-            n = n // 2 # "//" is a floor division where it rounds down the result
+            n = n // 2
         else:
-            print(f"{n} * 3 + 1", end=" ")
             n = 3 * n + 1
-        print(f"= {n}")
-        times += 1
-    print(f"The number of times to reach 1 is {times}")
+        steps.append(n)
+    return steps
 
-def main():
-    again = "y"
-    while again != "n":
-        n = int(input("Input a number: "))
-        collatz_steps(n)
-        while True:
-            again = str(input("Want to input again? y/n: "))
-            if again != "n" and again != "y":
-                print("Incorrect Input.")
-            elif again == "n":
-                print("Thank You! Goodbye.")
-                break
-            else: 
-                break
-
-main()
+# --- Main Program ---
+try:
+    num = int(input("Enter a positive integer: "))
+    if num <= 0:
+        print("Please enter a positive number greater than 0.")
+    else:
+        sequence = collatz_sequence(num)
+        print("\nCollatz sequence:")
+        for i, value in enumerate(sequence, start=1):
+            print(f"Step {i}: {value}")
+except ValueError:
+    print("Invalid input! Please enter an integer.")