Which starting number, under one million, produces the longest chain?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Write the matlab code for the following problem
The following iterative sequence is defined for the set of positive integers:
n - n/2 (n is even)
n - 3n + 1 (n is odd)
Using the rule above and starting with 13, we generate the following sequence:
13 - 40 → 20 → 10 → 5 -→ 16 → 8→4 → 2 → 1
It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms.
Although it has not been proved yet (Collatz Problem), it is thought that all starting
numbers finish at 1.
Which starting number, under one million, produces the longest chain?
NOTE: Once the chain starts the terms are allowed to go above one million.
Transcribed Image Text:Write the matlab code for the following problem The following iterative sequence is defined for the set of positive integers: n - n/2 (n is even) n - 3n + 1 (n is odd) Using the rule above and starting with 13, we generate the following sequence: 13 - 40 → 20 → 10 → 5 -→ 16 → 8→4 → 2 → 1 It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is thought that all starting numbers finish at 1. Which starting number, under one million, produces the longest chain? NOTE: Once the chain starts the terms are allowed to go above one million.
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