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2 changes: 1 addition & 1 deletion exercises/practice/atbash-cipher/.docs/instructions.md
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# Instructions

Create an implementation of the atbash cipher, an ancient encryption system created in the Middle East.
Create an implementation of the Atbash cipher, an ancient encryption system created in the Middle East.

The Atbash cipher is a simple substitution cipher that relies on transposing all the letters in the alphabet such that the resulting alphabet is backwards.
The first letter is replaced with the last letter, the second with the second-last, and so on.
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2 changes: 1 addition & 1 deletion exercises/practice/atbash-cipher/.meta/config.json
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".meta/example.ex"
]
},
"blurb": "Create an implementation of the atbash cipher, an ancient encryption system created in the Middle East.",
"blurb": "Create an implementation of the Atbash cipher, an ancient encryption system created in the Middle East.",
"source": "Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Atbash"
}
28 changes: 1 addition & 27 deletions exercises/practice/collatz-conjecture/.docs/instructions.md
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# 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:

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.
Given a positive integer, return the number of steps it takes to reach 1 according to the rules of the Collatz Conjecture.
28 changes: 28 additions & 0 deletions exercises/practice/collatz-conjecture/.docs/introduction.md
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# Introduction

One evening, you stumbled upon an old notebook filled with cryptic scribbles, as though someone had been obsessively chasing an idea.
On one page, a single question stood out: **Can every number find its way to 1?**
It was tied to something called the **Collatz Conjecture**, a puzzle that has baffled thinkers for decades.

The rules were deceptively simple.
Pick any positive integer.

- If it's even, divide it by 2.
- If it's odd, multiply it by 3 and add 1.

Then, repeat these steps with the result, continuing indefinitely.

Curious, you picked number 12 to test and began the journey:

12 ➜ 6 ➜ 3 ➜ 10 ➜ 5 ➜ 16 ➜ 8 ➜ 4 ➜ 2 ➜ 1

Counting from the second number (6), it took 9 steps to reach 1, and each time the rules repeated, the number kept changing.
At first, the sequence seemed unpredictable — jumping up, down, and all over.
Yet, the conjecture claims that no matter the starting number, we'll always end at 1.

It was fascinating, but also puzzling.
Why does this always seem to work?
Could there be a number where the process breaks down, looping forever or escaping into infinity?
The notebook suggested solving this could reveal something profound — and with it, fame, [fortune][collatz-prize], and a place in history awaits whoever could unlock its secrets.

[collatz-prize]: https://mathprize.net/posts/collatz-conjecture/
4 changes: 2 additions & 2 deletions exercises/practice/collatz-conjecture/.meta/config.json
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]
},
"blurb": "Calculate the number of steps to reach 1 using the Collatz conjecture.",
"source": "An unsolved problem in mathematics named after mathematician Lothar Collatz",
"source_url": "https://en.wikipedia.org/wiki/3x_%2B_1_problem"
"source": "Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Collatz_conjecture"
}
48 changes: 33 additions & 15 deletions exercises/practice/eliuds-eggs/.docs/introduction.md
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Expand Up @@ -12,36 +12,54 @@ The position information encoding is calculated as follows:
2. Convert the number from binary to decimal.
3. Show the result on the display.

Example 1:
## Example 1

![Seven individual nest boxes arranged in a row whose first, third, fourth and seventh nests each have a single egg.](https://assets.exercism.org/images/exercises/eliuds-eggs/example-1-coop.svg)

```text
Chicken Coop:
_ _ _ _ _ _ _
|E| |E|E| | |E|
```

### Resulting Binary

![1011001](https://assets.exercism.org/images/exercises/eliuds-eggs/example-1-binary.svg)

```text
_ _ _ _ _ _ _
|1|0|1|1|0|0|1|
```

Resulting Binary:
1 0 1 1 0 0 1
### Decimal number on the display

Decimal number on the display:
89

Actual eggs in the coop:
### Actual eggs in the coop

4

## Example 2

![Seven individual nest boxes arranged in a row where only the fourth nest has an egg.](https://assets.exercism.org/images/exercises/eliuds-eggs/example-2-coop.svg)

```text
_ _ _ _ _ _ _
| | | |E| | | |
```

Example 2:
### Resulting Binary

![0001000](https://assets.exercism.org/images/exercises/eliuds-eggs/example-2-binary.svg)

```text
Chicken Coop:
_ _ _ _ _ _ _ _
| | | |E| | | | |
_ _ _ _ _ _ _
|0|0|0|1|0|0|0|
```

Resulting Binary:
0 0 0 1 0 0 0 0
### Decimal number on the display

Decimal number on the display:
16

Actual eggs in the coop:
### Actual eggs in the coop

1
```
11 changes: 0 additions & 11 deletions exercises/practice/hamming/.docs/instructions.md
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Calculate the Hamming distance between two DNA strands.

Your body is made up of cells that contain DNA.
Those cells regularly wear out and need replacing, which they achieve by dividing into daughter cells.
In fact, the average human body experiences about 10 quadrillion cell divisions in a lifetime!

When cells divide, their DNA replicates too.
Sometimes during this process mistakes happen and single pieces of DNA get encoded with the incorrect information.
If we compare two strands of DNA and count the differences between them we can see how many mistakes occurred.
This is known as the "Hamming distance".

We read DNA using the letters C, A, G and T.
Two strands might look like this:

Expand All @@ -20,8 +11,6 @@ Two strands might look like this:

They have 7 differences, and therefore the Hamming distance is 7.

The Hamming distance is useful for lots of things in science, not just biology, so it's a nice phrase to be familiar with :)

## Implementation notes

The Hamming distance is only defined for sequences of equal length, so an attempt to calculate it between sequences of different lengths should not work.
12 changes: 12 additions & 0 deletions exercises/practice/hamming/.docs/introduction.md
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# Introduction

Your body is made up of cells that contain DNA.
Those cells regularly wear out and need replacing, which they achieve by dividing into daughter cells.
In fact, the average human body experiences about 10 quadrillion cell divisions in a lifetime!

When cells divide, their DNA replicates too.
Sometimes during this process mistakes happen and single pieces of DNA get encoded with the incorrect information.
If we compare two strands of DNA and count the differences between them, we can see how many mistakes occurred.
This is known as the "Hamming distance".

The Hamming distance is useful in many areas of science, not just biology, so it's a nice phrase to be familiar with :)
2 changes: 1 addition & 1 deletion exercises/practice/hamming/.meta/config.json
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".meta/example.ex"
]
},
"blurb": "Calculate the Hamming difference between two DNA strands.",
"blurb": "Calculate the Hamming distance between two DNA strands.",
"source": "The Calculating Point Mutations problem at Rosalind",
"source_url": "https://rosalind.info/problems/hamm/"
}
12 changes: 12 additions & 0 deletions exercises/practice/phone-number/.docs/introduction.md
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# Introduction

You've joined LinkLine, a leading communications company working to ensure reliable connections for everyone.
The team faces a big challenge: users submit phone numbers in all sorts of formats — dashes, spaces, dots, parentheses, and even prefixes.
Some numbers are valid, while others are impossible to use.

Your mission is to turn this chaos into order.
You'll clean up valid numbers, formatting them appropriately for use in the system.
At the same time, you'll identify and filter out any invalid entries.

The success of LinkLine's operations depends on your ability to separate the useful from the unusable.
Are you ready to take on the challenge and keep the connections running smoothly?
8 changes: 4 additions & 4 deletions exercises/practice/protein-translation/.docs/instructions.md
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Translate RNA sequences into proteins.

RNA can be broken into three nucleotide sequences called codons, and then translated to a polypeptide like so:
RNA can be broken into three-nucleotide sequences called codons, and then translated to a protein like so:

RNA: `"AUGUUUUCU"` => translates to

Codons: `"AUG", "UUU", "UCU"`
=> which become a polypeptide with the following sequence =>
=> which become a protein with the following sequence =>

Protein: `"Methionine", "Phenylalanine", "Serine"`

Expand All @@ -27,9 +27,9 @@ Protein: `"Methionine", "Phenylalanine", "Serine"`

Note the stop codon `"UAA"` terminates the translation and the final methionine is not translated into the protein sequence.

Below are the codons and resulting Amino Acids needed for the exercise.
Below are the codons and resulting amino acids needed for the exercise.

| Codon | Protein |
| Codon | Amino Acid |
| :----------------- | :------------ |
| AUG | Methionine |
| UUU, UUC | Phenylalanine |
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19 changes: 19 additions & 0 deletions exercises/practice/pythagorean-triplet/.docs/introduction.md
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# Introduction

You are an accomplished problem-solver, known for your ability to tackle the most challenging mathematical puzzles.
One evening, you receive an urgent letter from an inventor called the Triangle Tinkerer, who is working on a groundbreaking new project.
The letter reads:

> Dear Mathematician,
>
> I need your help.
> I am designing a device that relies on the unique properties of Pythagorean triplets — sets of three integers that satisfy the equation a² + b² = c².
> This device will revolutionize navigation, but for it to work, I must program it with every possible triplet where the sum of a, b, and c equals a specific number, N.
> Calculating these triplets by hand would take me years, but I hear you are more than up to the task.
>
> Time is of the essence.
> The future of my invention — and perhaps even the future of mathematical innovation — rests on your ability to solve this problem.

Motivated by the importance of the task, you set out to find all Pythagorean triplets that satisfy the condition.
Your work could have far-reaching implications, unlocking new possibilities in science and engineering.
Can you rise to the challenge and make history?
6 changes: 3 additions & 3 deletions exercises/practice/pythagorean-triplet/.meta/config.json
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Expand Up @@ -13,7 +13,7 @@
".meta/example.ex"
]
},
"blurb": "There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product a * b * c.",
"source": "Problem 9 at Project Euler",
"source_url": "http://projecteuler.net/problem=9"
"blurb": "Given an integer N, find all Pythagorean triplets for which a + b + c = N.",
"source": "A variation of Problem 9 from Project Euler",
"source_url": "https://projecteuler.net/problem=9"
}
6 changes: 3 additions & 3 deletions exercises/practice/rna-transcription/.docs/instructions.md
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# Instructions

Your task is determine the RNA complement of a given DNA sequence.
Your task is to determine the RNA complement of a given DNA sequence.

Both DNA and RNA strands are a sequence of nucleotides.

The four nucleotides found in DNA are adenine (**A**), cytosine (**C**), guanine (**G**) and thymine (**T**).
The four nucleotides found in DNA are adenine (**A**), cytosine (**C**), guanine (**G**), and thymine (**T**).

The four nucleotides found in RNA are adenine (**A**), cytosine (**C**), guanine (**G**) and uracil (**U**).
The four nucleotides found in RNA are adenine (**A**), cytosine (**C**), guanine (**G**), and uracil (**U**).

Given a DNA strand, its transcribed RNA strand is formed by replacing each nucleotide with its complement:

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17 changes: 11 additions & 6 deletions exercises/practice/square-root/.docs/instructions.md
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# Instructions

Given a natural radicand, return its square root.
Your task is to calculate the square root of a given number.

Note that the term "radicand" refers to the number for which the root is to be determined.
That is, it is the number under the root symbol.
- Try to avoid using the pre-existing math libraries of your language.
- As input you'll be given a positive whole number, i.e. 1, 2, 3, 4…
- You are only required to handle cases where the result is a positive whole number.

Check out the Wikipedia pages on [square root][square-root] and [methods of computing square roots][computing-square-roots].
Some potential approaches:

Recall also that natural numbers are positive real whole numbers (i.e. 1, 2, 3 and up).
- Linear or binary search for a number that gives the input number when squared.
- Successive approximation using Newton's or Heron's method.
- Calculating one digit at a time or one bit at a time.

[square-root]: https://en.wikipedia.org/wiki/Square_root
You can check out the Wikipedia pages on [integer square root][integer-square-root] and [methods of computing square roots][computing-square-roots] to help with choosing a method of calculation.

[integer-square-root]: https://en.wikipedia.org/wiki/Integer_square_root
[computing-square-roots]: https://en.wikipedia.org/wiki/Methods_of_computing_square_roots
10 changes: 10 additions & 0 deletions exercises/practice/square-root/.docs/introduction.md
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# Introduction

We are launching a deep space exploration rocket and we need a way to make sure the navigation system stays on target.

As the first step in our calculation, we take a target number and find its square root (that is, the number that when multiplied by itself equals the target number).

The journey will be very long.
To make the batteries last as long as possible, we had to make our rocket's onboard computer very power efficient.
Unfortunately that means that we can't rely on fancy math libraries and functions, as they use more power.
Instead we want to implement our own square root calculation.