Published at Oct 10 2019
·
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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.

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.

Go through the setup instructions for Kotlin to install the necessary dependencies:

https://exercism.io/tracks/kotlin/installation

Execute the tests with:

```
$ gradlew test
```

Use

`gradlew.bat`

if you're on Windows

In the test suites all tests but the first have been skipped.

Once you get a test passing, you can enable the next one by removing the
`@Ignore`

annotation.

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

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

```
import org.junit.Ignore
import org.junit.Rule
import org.junit.Test
import org.junit.rules.ExpectedException
import kotlin.test.assertEquals
class CollatzCalculatorTest {
@Rule
@JvmField
var expectedException: ExpectedException = ExpectedException.none()
@Test
fun testZeroStepsRequiredWhenStartingFrom1() {
assertEquals(0, CollatzCalculator.computeStepCount(1))
}
@Ignore
@Test
fun testCorrectNumberOfStepsWhenAllStepsAreDivisions() {
assertEquals(4, CollatzCalculator.computeStepCount(16))
}
@Ignore
@Test
fun testCorrectNumberOfStepsWhenBothStepTypesAreNeeded() {
assertEquals(9, CollatzCalculator.computeStepCount(12))
}
@Ignore
@Test
fun testAVeryLargeInput() {
assertEquals(152, CollatzCalculator.computeStepCount(1000000))
}
@Ignore
@Test
fun testZeroIsConsideredInvalidInput() {
expectedException.expect(IllegalArgumentException::class.java)
expectedException.expectMessage("Only natural numbers are allowed")
CollatzCalculator.computeStepCount(0)
}
@Ignore
@Test
fun testNegativeIntegerIsConsideredInvalidInput() {
expectedException.expect(IllegalArgumentException::class.java)
expectedException.expectMessage("Only natural numbers are allowed")
CollatzCalculator.computeStepCount(-15)
}
}
```

```
object CollatzCalculator {
fun computeStepCount(n: Int): Int {
require(n > 0, {"Only natural numbers are allowed"})
var num = n
var numSteps = 0
while (num != 1 && numSteps < 1e9) {
num = when {
(num.rem(2) == 0) -> num / 2
else -> num * 3 + 1
}
numSteps++
}
return numSteps
}
}
```

A huge amount can be learned from reading other people’s code. This is why we wanted to give exercism users the option of making their solutions public.

Here are some questions to help you reflect on this solution and learn the most from it.

- What compromises have been made?
- Are there new concepts here that you could read more about to improve your understanding?

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