diff --git a/exercises/practice/affine-cipher/.docs/instructions.md b/exercises/practice/affine-cipher/.docs/instructions.md index 4eff918de7..f6329db936 100644 --- a/exercises/practice/affine-cipher/.docs/instructions.md +++ b/exercises/practice/affine-cipher/.docs/instructions.md @@ -4,7 +4,7 @@ Create an implementation of the affine cipher, an ancient encryption system crea The affine cipher is a type of monoalphabetic substitution cipher. Each character is mapped to its numeric equivalent, encrypted with a mathematical function and then converted to the letter relating to its new numeric value. -Although all monoalphabetic ciphers are weak, the affine cipher is much stronger than the atbash cipher, because it has many more keys. +Although all monoalphabetic ciphers are weak, the affine cipher is much stronger than the Atbash cipher, because it has many more keys. [//]: # " monoalphabetic as spelled by Merriam-Webster, compare to polyalphabetic " diff --git a/exercises/practice/atbash-cipher/.docs/instructions.md b/exercises/practice/atbash-cipher/.docs/instructions.md index 21ca2ce0aa..1e7627b1e5 100644 --- a/exercises/practice/atbash-cipher/.docs/instructions.md +++ b/exercises/practice/atbash-cipher/.docs/instructions.md @@ -1,6 +1,6 @@ # 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. diff --git a/exercises/practice/change/.docs/instructions.md b/exercises/practice/change/.docs/instructions.md index 30fa567750..5887f4cb69 100644 --- a/exercises/practice/change/.docs/instructions.md +++ b/exercises/practice/change/.docs/instructions.md @@ -1,14 +1,8 @@ # Instructions -Correctly determine the fewest number of coins to be given to a customer such that the sum of the coins' value would equal the correct amount of change. +Determine the fewest number of coins to give a customer so that the sum of their values equals the correct amount of change. -## For example +## Examples -- An input of 15 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) or [5, 10] -- An input of 40 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) and one quarter (25) or [5, 10, 25] - -## Edge cases - -- Does your algorithm work for any given set of coins? -- Can you ask for negative change? -- Can you ask for a change value smaller than the smallest coin value? +- An amount of 15 with available coin values [1, 5, 10, 25, 100] should return one coin of value 5 and one coin of value 10, or [5, 10]. +- An amount of 40 with available coin values [1, 5, 10, 25, 100] should return one coin of value 5, one coin of value 10, and one coin of value 25, or [5, 10, 25]. diff --git a/exercises/practice/change/.docs/introduction.md b/exercises/practice/change/.docs/introduction.md new file mode 100644 index 0000000000..b4f8308a1b --- /dev/null +++ b/exercises/practice/change/.docs/introduction.md @@ -0,0 +1,26 @@ +# Introduction + +In the mystical village of Coinholt, you stand behind the counter of your bakery, arranging a fresh batch of pastries. +The door creaks open, and in walks Denara, a skilled merchant with a keen eye for quality goods. +After a quick meal, she slides a shimmering coin across the counter, representing a value of 100 units. + +You smile, taking the coin, and glance at the total cost of the meal: 88 units. +That means you need to return 12 units in change. + +Denara holds out her hand expectantly. +"Just give me the fewest coins," she says with a smile. +"My pouch is already full, and I don't want to risk losing them on the road." + +You know you have a few options. +"We have Lumis (worth 10 units), Viras (worth 5 units), and Zenth (worth 2 units) available for change." + +You quickly calculate the possibilities in your head: + +- one Lumis (1 × 10 units) + one Zenth (1 × 2 units) = 2 coins total +- two Viras (2 × 5 units) + one Zenth (1 × 2 units) = 3 coins total +- six Zenth (6 × 2 units) = 6 coins total + +"The best choice is two coins: one Lumis and one Zenth," you say, handing her the change. + +Denara smiles, clearly impressed. +"As always, you've got it right." diff --git a/exercises/practice/collatz-conjecture/.docs/instructions.md b/exercises/practice/collatz-conjecture/.docs/instructions.md index ba060483e4..af332a810f 100644 --- a/exercises/practice/collatz-conjecture/.docs/instructions.md +++ b/exercises/practice/collatz-conjecture/.docs/instructions.md @@ -1,29 +1,3 @@ # 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. diff --git a/exercises/practice/collatz-conjecture/.docs/introduction.md b/exercises/practice/collatz-conjecture/.docs/introduction.md new file mode 100644 index 0000000000..c35bdeb67d --- /dev/null +++ b/exercises/practice/collatz-conjecture/.docs/introduction.md @@ -0,0 +1,28 @@ +# 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/ diff --git a/exercises/practice/complex-numbers/.docs/instructions.md b/exercises/practice/complex-numbers/.docs/instructions.md index 50b19aedff..2b8a7a49d8 100644 --- a/exercises/practice/complex-numbers/.docs/instructions.md +++ b/exercises/practice/complex-numbers/.docs/instructions.md @@ -1,29 +1,100 @@ # Instructions -A complex number is a number in the form `a + b * i` where `a` and `b` are real and `i` satisfies `i^2 = -1`. +A **complex number** is expressed in the form `z = a + b * i`, where: -`a` is called the real part and `b` is called the imaginary part of `z`. -The conjugate of the number `a + b * i` is the number `a - b * i`. -The absolute value of a complex number `z = a + b * i` is a real number `|z| = sqrt(a^2 + b^2)`. The square of the absolute value `|z|^2` is the result of multiplication of `z` by its complex conjugate. +- `a` is the **real part** (a real number), -The sum/difference of two complex numbers involves adding/subtracting their real and imaginary parts separately: -`(a + i * b) + (c + i * d) = (a + c) + (b + d) * i`, -`(a + i * b) - (c + i * d) = (a - c) + (b - d) * i`. +- `b` is the **imaginary part** (also a real number), and -Multiplication result is by definition -`(a + i * b) * (c + i * d) = (a * c - b * d) + (b * c + a * d) * i`. +- `i` is the **imaginary unit** satisfying `i^2 = -1`. -The reciprocal of a non-zero complex number is -`1 / (a + i * b) = a/(a^2 + b^2) - b/(a^2 + b^2) * i`. +## Operations on Complex Numbers -Dividing a complex number `a + i * b` by another `c + i * d` gives: -`(a + i * b) / (c + i * d) = (a * c + b * d)/(c^2 + d^2) + (b * c - a * d)/(c^2 + d^2) * i`. +### Conjugate -Raising e to a complex exponent can be expressed as `e^(a + i * b) = e^a * e^(i * b)`, the last term of which is given by Euler's formula `e^(i * b) = cos(b) + i * sin(b)`. +The conjugate of the complex number `z = a + b * i` is given by: -Implement the following operations: +```text +zc = a - b * i +``` -- addition, subtraction, multiplication and division of two complex numbers, -- conjugate, absolute value, exponent of a given complex number. +### Absolute Value -Assume the programming language you are using does not have an implementation of complex numbers. +The absolute value (or modulus) of `z` is defined as: + +```text +|z| = sqrt(a^2 + b^2) +``` + +The square of the absolute value is computed as the product of `z` and its conjugate `zc`: + +```text +|z|^2 = z * zc = a^2 + b^2 +``` + +### Addition + +The sum of two complex numbers `z1 = a + b * i` and `z2 = c + d * i` is computed by adding their real and imaginary parts separately: + +```text +z1 + z2 = (a + b * i) + (c + d * i) + = (a + c) + (b + d) * i +``` + +### Subtraction + +The difference of two complex numbers is obtained by subtracting their respective parts: + +```text +z1 - z2 = (a + b * i) - (c + d * i) + = (a - c) + (b - d) * i +``` + +### Multiplication + +The product of two complex numbers is defined as: + +```text +z1 * z2 = (a + b * i) * (c + d * i) + = (a * c - b * d) + (b * c + a * d) * i +``` + +### Reciprocal + +The reciprocal of a non-zero complex number is given by: + +```text +1 / z = 1 / (a + b * i) + = a / (a^2 + b^2) - b / (a^2 + b^2) * i +``` + +### Division + +The division of one complex number by another is given by: + +```text +z1 / z2 = z1 * (1 / z2) + = (a + b * i) / (c + d * i) + = (a * c + b * d) / (c^2 + d^2) + (b * c - a * d) / (c^2 + d^2) * i +``` + +### Exponentiation + +Raising _e_ (the base of the natural logarithm) to a complex exponent can be expressed using Euler's formula: + +```text +e^(a + b * i) = e^a * e^(b * i) + = e^a * (cos(b) + i * sin(b)) +``` + +## Implementation Requirements + +Given that you should not use built-in support for complex numbers, implement the following operations: + +- **addition** of two complex numbers +- **subtraction** of two complex numbers +- **multiplication** of two complex numbers +- **division** of two complex numbers +- **conjugate** of a complex number +- **absolute value** of a complex number +- **exponentiation** of _e_ (the base of the natural logarithm) to a complex number diff --git a/exercises/practice/dominoes/.docs/instructions.md b/exercises/practice/dominoes/.docs/instructions.md index 1ced9f6448..75055b9e89 100644 --- a/exercises/practice/dominoes/.docs/instructions.md +++ b/exercises/practice/dominoes/.docs/instructions.md @@ -2,7 +2,9 @@ Make a chain of dominoes. -Compute a way to order a given set of dominoes in such a way that they form a correct domino chain (the dots on one half of a stone match the dots on the neighboring half of an adjacent stone) and that dots on the halves of the stones which don't have a neighbor (the first and last stone) match each other. +Compute a way to order a given set of domino stones so that they form a correct domino chain. +In the chain, the dots on one half of a stone must match the dots on the neighboring half of an adjacent stone. +Additionally, the dots on the halves of the stones without neighbors (the first and last stone) must match each other. For example given the stones `[2|1]`, `[2|3]` and `[1|3]` you should compute something like `[1|2] [2|3] [3|1]` or `[3|2] [2|1] [1|3]` or `[1|3] [3|2] [2|1]` etc, where the first and last numbers are the same. diff --git a/exercises/practice/dominoes/.docs/introduction.md b/exercises/practice/dominoes/.docs/introduction.md new file mode 100644 index 0000000000..df248c2116 --- /dev/null +++ b/exercises/practice/dominoes/.docs/introduction.md @@ -0,0 +1,13 @@ +# Introduction + +In Toyland, the trains are always busy delivering treasures across the city, from shiny marbles to rare building blocks. +The tracks they run on are made of colorful domino-shaped pieces, each marked with two numbers. +For the trains to move, the dominoes must form a perfect chain where the numbers match. + +Today, an urgent delivery of rare toys is on hold. +You've been handed a set of track pieces to inspect. +If they can form a continuous chain, the train will be on its way, bringing smiles across Toyland. +If not, the set will be discarded, and another will be tried. + +The toys are counting on you to solve this puzzle. +Will the dominoes connect the tracks and send the train rolling, or will the set be left behind? diff --git a/exercises/practice/eliuds-eggs/.docs/introduction.md b/exercises/practice/eliuds-eggs/.docs/introduction.md index 49eaffd8bc..8198974809 100644 --- a/exercises/practice/eliuds-eggs/.docs/introduction.md +++ b/exercises/practice/eliuds-eggs/.docs/introduction.md @@ -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 -``` diff --git a/exercises/practice/grade-school/.docs/instructions.md b/exercises/practice/grade-school/.docs/instructions.md index 9a63e398d8..3cb1b5d5f9 100644 --- a/exercises/practice/grade-school/.docs/instructions.md +++ b/exercises/practice/grade-school/.docs/instructions.md @@ -1,21 +1,21 @@ # Instructions -Given students' names along with the grade that they are in, create a roster for the school. +Given students' names along with the grade they are in, create a roster for the school. In the end, you should be able to: -- Add a student's name to the roster for a grade +- Add a student's name to the roster for a grade: - "Add Jim to grade 2." - "OK." -- Get a list of all students enrolled in a grade +- Get a list of all students enrolled in a grade: - "Which students are in grade 2?" - - "We've only got Jim just now." + - "We've only got Jim right now." - Get a sorted list of all students in all grades. - Grades should sort as 1, 2, 3, etc., and students within a grade should be sorted alphabetically by name. - - "Who all is enrolled in school right now?" + Grades should be sorted as 1, 2, 3, etc., and students within a grade should be sorted alphabetically by name. + - "Who is enrolled in school right now?" - "Let me think. - We have Anna, Barb, and Charlie in grade 1, Alex, Peter, and Zoe in grade 2 and Jim in grade 5. - So the answer is: Anna, Barb, Charlie, Alex, Peter, Zoe and Jim" + We have Anna, Barb, and Charlie in grade 1, Alex, Peter, and Zoe in grade 2, and Jim in grade 5. + So the answer is: Anna, Barb, Charlie, Alex, Peter, Zoe, and Jim." -Note that all our students only have one name (It's a small town, what do you want?) and each student cannot be added more than once to a grade or the roster. -In fact, when a test attempts to add the same student more than once, your implementation should indicate that this is incorrect. +Note that all our students only have one name (it's a small town, what do you want?), and each student cannot be added more than once to a grade or the roster. +If a test attempts to add the same student more than once, your implementation should indicate that this is incorrect. diff --git a/exercises/practice/hamming/.docs/instructions.md b/exercises/practice/hamming/.docs/instructions.md index b9ae6efc51..8f47a179e0 100644 --- a/exercises/practice/hamming/.docs/instructions.md +++ b/exercises/practice/hamming/.docs/instructions.md @@ -2,15 +2,6 @@ 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: @@ -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. diff --git a/exercises/practice/hamming/.docs/introduction.md b/exercises/practice/hamming/.docs/introduction.md new file mode 100644 index 0000000000..8419bf479e --- /dev/null +++ b/exercises/practice/hamming/.docs/introduction.md @@ -0,0 +1,12 @@ +# 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 :) diff --git a/exercises/practice/knapsack/.docs/instructions.md b/exercises/practice/knapsack/.docs/instructions.md index 3411db9886..0ebf7914c5 100644 --- a/exercises/practice/knapsack/.docs/instructions.md +++ b/exercises/practice/knapsack/.docs/instructions.md @@ -1,11 +1,11 @@ # Instructions -Your task is to determine which items to take so that the total value of his selection is maximized, taking into account the knapsack's carrying capacity. +Your task is to determine which items to take so that the total value of her selection is maximized, taking into account the knapsack's carrying capacity. Items will be represented as a list of items. Each item will have a weight and value. All values given will be strictly positive. -Bob can take only one of each item. +Lhakpa can take only one of each item. For example: @@ -21,5 +21,5 @@ Knapsack Maximum Weight: 10 ``` For the above, the first item has weight 5 and value 10, the second item has weight 4 and value 40, and so on. -In this example, Bob should take the second and fourth item to maximize his value, which, in this case, is 90. -He cannot get more than 90 as his knapsack has a weight limit of 10. +In this example, Lhakpa should take the second and fourth item to maximize her value, which, in this case, is 90. +She cannot get more than 90 as her knapsack has a weight limit of 10. diff --git a/exercises/practice/knapsack/.docs/introduction.md b/exercises/practice/knapsack/.docs/introduction.md index 9b2bed8b4e..9ac9df596b 100644 --- a/exercises/practice/knapsack/.docs/introduction.md +++ b/exercises/practice/knapsack/.docs/introduction.md @@ -1,8 +1,10 @@ # Introduction -Bob is a thief. -After months of careful planning, he finally manages to crack the security systems of a fancy store. +Lhakpa is a [Sherpa][sherpa] mountain guide and porter. +After months of careful planning, the expedition Lhakpa works for is about to leave. +She will be paid the value she carried to the base camp. -In front of him are many items, each with a value and weight. -Bob would gladly take all of the items, but his knapsack can only hold so much weight. -Bob has to carefully consider which items to take so that the total value of his selection is maximized. +In front of her are many items, each with a value and weight. +Lhakpa would gladly take all of the items, but her knapsack can only hold so much weight. + +[sherpa]: https://en.wikipedia.org/wiki/Sherpa_people#Mountaineering diff --git a/exercises/practice/luhn/.docs/instructions.md b/exercises/practice/luhn/.docs/instructions.md index 49934c1064..5bbf007b07 100644 --- a/exercises/practice/luhn/.docs/instructions.md +++ b/exercises/practice/luhn/.docs/instructions.md @@ -1,12 +1,10 @@ # Instructions -Given a number determine whether or not it is valid per the Luhn formula. +Determine whether a credit card number is valid according to the [Luhn formula][luhn]. -The [Luhn algorithm][luhn] is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers. +The number will be provided as a string. -The task is to check if a given string is valid. - -## Validating a Number +## Validating a number Strings of length 1 or less are not valid. Spaces are allowed in the input, but they should be stripped before checking. diff --git a/exercises/practice/luhn/.docs/introduction.md b/exercises/practice/luhn/.docs/introduction.md new file mode 100644 index 0000000000..ec2bd709d2 --- /dev/null +++ b/exercises/practice/luhn/.docs/introduction.md @@ -0,0 +1,11 @@ +# Introduction + +At the Global Verification Authority, you've just been entrusted with a critical assignment. +Across the city, from online purchases to secure logins, countless operations rely on the accuracy of numerical identifiers like credit card numbers, bank account numbers, transaction codes, and tracking IDs. +The Luhn algorithm is a simple checksum formula used to ensure these numbers are valid and error-free. + +A batch of identifiers has just arrived on your desk. +All of them must pass the Luhn test to ensure they're legitimate. +If any fail, they'll be flagged as invalid, preventing errors or fraud, such as incorrect transactions or unauthorized access. + +Can you ensure this is done right? The integrity of many services depends on you. diff --git a/exercises/practice/pascals-triangle/.docs/introduction.md b/exercises/practice/pascals-triangle/.docs/introduction.md index 60b8ec30dc..eab454e5a6 100644 --- a/exercises/practice/pascals-triangle/.docs/introduction.md +++ b/exercises/practice/pascals-triangle/.docs/introduction.md @@ -13,7 +13,7 @@ Over the next hour, your teacher reveals some amazing things hidden in this tria - It contains the Fibonacci sequence. - If you color odd and even numbers differently, you get a beautiful pattern called the [Sierpiński triangle][wikipedia-sierpinski-triangle]. -The teacher implores you and your classmates to lookup other uses, and assures you that there are lots more! +The teacher implores you and your classmates to look up other uses, and assures you that there are lots more! At that moment, the school bell rings. You realize that for the past hour, you were completely absorbed in learning about Pascal's triangle. You quickly grab your laptop from your bag and go outside, ready to enjoy both the sunshine _and_ the wonders of Pascal's triangle. diff --git a/exercises/practice/phone-number/.docs/introduction.md b/exercises/practice/phone-number/.docs/introduction.md new file mode 100644 index 0000000000..c4142c5af7 --- /dev/null +++ b/exercises/practice/phone-number/.docs/introduction.md @@ -0,0 +1,12 @@ +# 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? diff --git a/exercises/practice/protein-translation/.docs/instructions.md b/exercises/practice/protein-translation/.docs/instructions.md index 7dc34d2edf..44880802c5 100644 --- a/exercises/practice/protein-translation/.docs/instructions.md +++ b/exercises/practice/protein-translation/.docs/instructions.md @@ -2,12 +2,12 @@ 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"` @@ -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 | diff --git a/exercises/practice/pythagorean-triplet/.docs/instructions.md b/exercises/practice/pythagorean-triplet/.docs/instructions.md index 1c1a8aea61..ced833d7a5 100644 --- a/exercises/practice/pythagorean-triplet/.docs/instructions.md +++ b/exercises/practice/pythagorean-triplet/.docs/instructions.md @@ -1,4 +1,4 @@ -# Instructions +# Description A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for which, diff --git a/exercises/practice/pythagorean-triplet/.docs/introduction.md b/exercises/practice/pythagorean-triplet/.docs/introduction.md new file mode 100644 index 0000000000..3453c6ed48 --- /dev/null +++ b/exercises/practice/pythagorean-triplet/.docs/introduction.md @@ -0,0 +1,19 @@ +# 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? diff --git a/exercises/practice/square-root/.docs/instructions.md b/exercises/practice/square-root/.docs/instructions.md index e9905e9d41..d258b86876 100644 --- a/exercises/practice/square-root/.docs/instructions.md +++ b/exercises/practice/square-root/.docs/instructions.md @@ -1,13 +1,18 @@ # 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 diff --git a/exercises/practice/square-root/.docs/introduction.md b/exercises/practice/square-root/.docs/introduction.md new file mode 100644 index 0000000000..1d692934f2 --- /dev/null +++ b/exercises/practice/square-root/.docs/introduction.md @@ -0,0 +1,10 @@ +# 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.