Leaderboard
Showing:
Maximum Collatz sequence length
Easy Accuracy: 0.0% Submissions: 0 Points: 2

Starting with any positive integer N, we define the Collatz sequence corresponding to N as the numbers formed by the following operations:
If is even, N→ N/2
if is odd,   N→ 3N+ 1
It is conjectured but not yet proven that no matter which positive integer we start with; we always end up with 1.
For example, 10 → 5  → 16  → 8  → 4  → 2  → 1. You have to give the maximum collatz sequence length among all the numbers from 1 to N(both included).


Example 1:

Input: N = 1
Output: 1
Explaination: Here N can have only one 
value 1.


Example 2:

Input: N = 3
Output: 8
Explaination: For N= 3 we need to check 
sequence length when sequence starts with 
1, 2, and 3.
when sequence starts with 1, it's : 1 
length = 1
when sequence starts with 2, it's : 2->1, 
length = 2
when sequence starts with 3, it's : 
3->10->5->16->8->4->2->1, length = 8.


Your Task:
You do not need to read input or print anything. Your task is to complete the function collatzLength()which takes N as input parameter and returns the maximum collatz sequence length.


Expected Time Complexity:O(N)
Expected Auxiliary Space: O(N)


Constraints:
1 < N < 106

to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

Maximum Collatz sequence length

Output Window