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# Help | ||
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## Running the tests | ||
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Write your code in `<exercise_name>.zig`. | ||
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To run the tests for an exercise, run: | ||
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```bash | ||
zig test test_exercise_name.zig | ||
``` | ||
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in the exercise's root directory (replacing `exercise_name` with the name of the exercise). | ||
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## Submitting your solution | ||
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You can submit your solution using the `exercism submit collatz_conjecture.zig` command. | ||
This command will upload your solution to the Exercism website and print the solution page's URL. | ||
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It's possible to submit an incomplete solution which allows you to: | ||
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- See how others have completed the exercise | ||
- Request help from a mentor | ||
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## Need to get help? | ||
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If you'd like help solving the exercise, check the following pages: | ||
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- The [Zig track's documentation](https://exercism.org/docs/tracks/zig) | ||
- The [Zig track's programming category on the forum](https://forum.exercism.org/c/programming/zig) | ||
- [Exercism's programming category on the forum](https://forum.exercism.org/c/programming/5) | ||
- The [Frequently Asked Questions](https://exercism.org/docs/using/faqs) | ||
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Should those resources not suffice, you could submit your (incomplete) solution to request mentoring. | ||
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- [The Zig Programming Language Documentation][documentation] is a great overview of all of the language features that Zig provides to those who use it. | ||
- [Zig Learn][zig-learn] is an excellent primer that explains the language features that Zig has to offer. | ||
- [Ziglings][ziglings] is highly recommended. | ||
Learn Zig by fixing tiny broken programs. | ||
- [The Zig Programming Language Discord][discord-zig] is the main [Discord][discord]. | ||
It provides a great way to get in touch with the Zig community at large, and get some quick, direct help for any Zig related problem. | ||
- [#zig][irc] on irc.freenode.net is the main Zig IRC channel. | ||
- [/r/Zig][reddit] is the main Zig subreddit. | ||
- [Stack Overflow][stack-overflow] can be used to discover code snippets and solutions to problems that may have already asked and maybe solved by others. | ||
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[discord]: https://discordapp.com | ||
[discord-zig]: https://discord.com/invite/gxsFFjE | ||
[documentation]: https://ziglang.org/documentation/master | ||
[irc]: https://webchat.freenode.net/?channels=%23zig | ||
[reddit]: https://www.reddit.com/r/Zig | ||
[stack-overflow]: https://stackoverflow.com/questions/tagged/zig | ||
[zig-learn]: https://ziglearn.org/ | ||
[ziglings]: https://github.com/ratfactor/ziglings |
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# Collatz Conjecture | ||
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Welcome to Collatz Conjecture on Exercism's Zig Track. | ||
If you need help running the tests or submitting your code, check out `HELP.md`. | ||
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## Instructions | ||
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The Collatz Conjecture or 3x+1 problem can be summarized as follows: | ||
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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. | ||
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Given a number n, return the number of steps required to reach 1. | ||
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## Examples | ||
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Starting with n = 12, the steps would be as follows: | ||
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0. 12 | ||
1. 6 | ||
2. 3 | ||
3. 10 | ||
4. 5 | ||
5. 16 | ||
6. 8 | ||
7. 4 | ||
8. 2 | ||
9. 1 | ||
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Resulting in 9 steps. | ||
So for input n = 12, the return value would be 9. | ||
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## Source | ||
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### Created by | ||
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- @massivelivefun | ||
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### Contributed to by | ||
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- @ee7 | ||
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### Based on | ||
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An unsolved problem in mathematics named after mathematician Lothar Collatz - https://en.wikipedia.org/wiki/3x_%2B_1_problem |
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pub const ComputationError = error { | ||
IllegalArgument | ||
}; | ||
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pub fn steps(number: usize) anyerror!usize { | ||
if (number < 1) { | ||
return ComputationError.IllegalArgument; | ||
} | ||
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var count: usize = 0; | ||
var curNum: usize = number; | ||
while(curNum != 1) { | ||
count += 1; | ||
if (curNum % 2 == 0) { | ||
curNum = curNum / 2; | ||
} else { | ||
curNum = curNum * 3 + 1; | ||
} | ||
} | ||
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return count; | ||
} |
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const std = @import("std"); | ||
const testing = std.testing; | ||
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const collatz_conjecture = @import("collatz_conjecture.zig"); | ||
const ComputationError = collatz_conjecture.ComputationError; | ||
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test "zero steps for one" { | ||
const expected: usize = 0; | ||
const actual = try collatz_conjecture.steps(1); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "divide if even" { | ||
const expected: usize = 4; | ||
const actual = try collatz_conjecture.steps(16); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "even and odd steps" { | ||
const expected: usize = 9; | ||
const actual = try collatz_conjecture.steps(12); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "large number of even and odd steps" { | ||
const expected: usize = 152; | ||
const actual = try collatz_conjecture.steps(1_000_000); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "zero is an error" { | ||
const expected = ComputationError.IllegalArgument; | ||
const actual = collatz_conjecture.steps(0); | ||
try testing.expectError(expected, actual); | ||
} |