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## to Collatz Conjecture in the C# Track

Published at Nov 05 2020 · 0 comments
Instructions
Test suite
Solution

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:

1. 12
2. 6
3. 3
4. 10
5. 5
6. 16
7. 8
8. 4
9. 2
10. 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 `dotnet test` from within the exercise directory.

Initially, only the first test will be enabled. This is to encourage you to solve the exercise one step at a time. Once you get the first test passing, remove the `Skip` property from the next test and work on getting that test passing. Once none of the tests are skipped and they are all passing, you can submit your solution using `exercism submit CollatzConjecture.cs`

## Further information

For more detailed information about the C# track, including how to get help if you're having trouble, please visit the exercism.io C# language page.

## Source

An unsolved problem in mathematics named after mathematician Lothar Collatz https://en.wikipedia.org/wiki/3x_%2B_1_problem

### CollatzConjectureTests.cs

``````// This file was auto-generated based on version 1.2.1 of the canonical data.

using System;
using Xunit;

public class CollatzConjectureTests
{
[Fact]
public void Zero_steps_for_one()
{
Assert.Equal(0, CollatzConjecture.Steps(1));
}

[Fact(Skip = "Remove this Skip property to run this test")]
public void Divide_if_even()
{
Assert.Equal(4, CollatzConjecture.Steps(16));
}

[Fact(Skip = "Remove this Skip property to run this test")]
public void Even_and_odd_steps()
{
Assert.Equal(9, CollatzConjecture.Steps(12));
}

[Fact(Skip = "Remove this Skip property to run this test")]
public void Large_number_of_even_and_odd_steps()
{
Assert.Equal(152, CollatzConjecture.Steps(1000000));
}

[Fact(Skip = "Remove this Skip property to run this test")]
public void Zero_is_an_error()
{
Assert.Throws<ArgumentOutOfRangeException>(() => CollatzConjecture.Steps(0));
}

[Fact(Skip = "Remove this Skip property to run this test")]
public void Negative_value_is_an_error()
{
Assert.Throws<ArgumentOutOfRangeException>(() => CollatzConjecture.Steps(-15));
}
}``````
``````﻿using System;

public static class CollatzConjecture
{
public static int Steps(int number)
{
if (number < 1) throw new ArgumentOutOfRangeException();
if (number == 1) return 0;
if (number % 2 == 0) return 1 + Steps(number / 2);
return 1 + Steps(number * 3 + 1);
}
}``````

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