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# Collatz Conjecture The Collatz Conjecture or 3x+1 problem can be summarized as follows: Take any positive integer n. If n is even, divide n by 2 to get n / 2. If n is odd, multiply n by 3 and add 1 to get 3n + 1. Repeat the process indefinitely. The conjecture states that no matter which number you start with, you will always reach 1 eventually. Given a number n, return the number of steps required to reach 1. ## Examples Starting with n = 12, the steps would be as follows: 0. 12 1. 6 2. 3 3. 10 4. 5 5. 16 6. 8 7. 4 8. 2 9. 1 Resulting in 9 steps. So for input n = 12, the return value would be 9. ## Running the tests To run the tests, run the command `busted` from within the exercise directory. ## Further information For more detailed information about the Lua track, including how to get help if you're having trouble, please visit the exercism.io [Lua language page](http://exercism.io/languages/lua/about). ## Source An unsolved problem in mathematics named after mathematician Lothar Collatz [https://en.wikipedia.org/wiki/3x_%2B_1_problem](https://en.wikipedia.org/wiki/3x_%2B_1_problem) ## Submitting Incomplete Solutions It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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63 entries across 63 versions & 1 rubygems