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.exercism | ||
test-framework | ||
collatz_conjecture.c | ||
collatz_conjecture.h | ||
HELP.md | ||
makefile | ||
README.md | ||
test_collatz_conjecture.c |
Collatz Conjecture
Welcome to Collatz Conjecture on Exercism's C Track.
If you need help running the tests or submitting your code, check out HELP.md
.
Instructions
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:
- 12
- 6
- 3
- 10
- 5
- 16
- 8
- 4
- 2
- 1
Resulting in 9 steps. So for input n = 12, the return value would be 9.
Source
Created by
- @RealBarrettBrown
Contributed to by
- @bcc32
- @h-3-0
- @patricksjackson
- @QLaille
- @ryanplusplus
- @wolf99
Based on
An unsolved problem in mathematics named after mathematician Lothar Collatz - https://en.wikipedia.org/wiki/3x_%2B_1_problem