diff --git a/exercises/practice/anagram/.docs/instructions.md b/exercises/practice/anagram/.docs/instructions.md index a729848..dca24f5 100644 --- a/exercises/practice/anagram/.docs/instructions.md +++ b/exercises/practice/anagram/.docs/instructions.md @@ -1,13 +1,12 @@ # Instructions -Your task is to, given a target word and a set of candidate words, to find the subset of the candidates that are anagrams of the target. +Given a target word and one or more candidate words, your task is to find the candidates that are anagrams of the target. An anagram is a rearrangement of letters to form a new word: for example `"owns"` is an anagram of `"snow"`. A word is _not_ its own anagram: for example, `"stop"` is not an anagram of `"stop"`. -The target and candidates are words of one or more ASCII alphabetic characters (`A`-`Z` and `a`-`z`). -Lowercase and uppercase characters are equivalent: for example, `"PoTS"` is an anagram of `"sTOp"`, but `StoP` is not an anagram of `sTOp`. -The anagram set is the subset of the candidate set that are anagrams of the target (in any order). -Words in the anagram set should have the same letter case as in the candidate set. +The target word and candidate words are made up of one or more ASCII alphabetic characters (`A`-`Z` and `a`-`z`). +Lowercase and uppercase characters are equivalent: for example, `"PoTS"` is an anagram of `"sTOp"`, but `"StoP"` is not an anagram of `"sTOp"`. +The words you need to find should be taken from the candidate words, using the same letter case. -Given the target `"stone"` and candidates `"stone"`, `"tones"`, `"banana"`, `"tons"`, `"notes"`, `"Seton"`, the anagram set is `"tones"`, `"notes"`, `"Seton"`. +Given the target `"stone"` and the candidate words `"stone"`, `"tones"`, `"banana"`, `"tons"`, `"notes"`, and `"Seton"`, the anagram words you need to find are `"tones"`, `"notes"`, and `"Seton"`. diff --git a/exercises/practice/atbash-cipher/.docs/instructions.md b/exercises/practice/atbash-cipher/.docs/instructions.md index 21ca2ce..1e7627b 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/atbash-cipher/.meta/config.json b/exercises/practice/atbash-cipher/.meta/config.json index 9268ea4..664f421 100644 --- a/exercises/practice/atbash-cipher/.meta/config.json +++ b/exercises/practice/atbash-cipher/.meta/config.json @@ -14,7 +14,7 @@ ".meta/atbash-cipher.ys" ] }, - "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" } diff --git a/exercises/practice/collatz-conjecture/.docs/instructions.md b/exercises/practice/collatz-conjecture/.docs/instructions.md index ba06048..af332a8 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 0000000..c35bdeb --- /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/collatz-conjecture/.meta/config.json b/exercises/practice/collatz-conjecture/.meta/config.json index 6c9d4ee..b3a23bf 100644 --- a/exercises/practice/collatz-conjecture/.meta/config.json +++ b/exercises/practice/collatz-conjecture/.meta/config.json @@ -17,6 +17,6 @@ ] }, "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" } diff --git a/exercises/practice/eliuds-eggs/.docs/introduction.md b/exercises/practice/eliuds-eggs/.docs/introduction.md index 49eaffd..8198974 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/grains/.docs/instructions.md b/exercises/practice/grains/.docs/instructions.md index df479fc..f5b752a 100644 --- a/exercises/practice/grains/.docs/instructions.md +++ b/exercises/practice/grains/.docs/instructions.md @@ -1,15 +1,11 @@ # Instructions -Calculate the number of grains of wheat on a chessboard given that the number on each square doubles. +Calculate the number of grains of wheat on a chessboard. -There once was a wise servant who saved the life of a prince. -The king promised to pay whatever the servant could dream up. -Knowing that the king loved chess, the servant told the king he would like to have grains of wheat. -One grain on the first square of a chess board, with the number of grains doubling on each successive square. +A chessboard has 64 squares. +Square 1 has one grain, square 2 has two grains, square 3 has four grains, and so on, doubling each time. -There are 64 squares on a chessboard (where square 1 has one grain, square 2 has two grains, and so on). +Write code that calculates: -Write code that shows: - -- how many grains were on a given square, and +- the number of grains on a given square - the total number of grains on the chessboard diff --git a/exercises/practice/grains/.docs/introduction.md b/exercises/practice/grains/.docs/introduction.md new file mode 100644 index 0000000..0df4f46 --- /dev/null +++ b/exercises/practice/grains/.docs/introduction.md @@ -0,0 +1,6 @@ +# Introduction + +There once was a wise servant who saved the life of a prince. +The king promised to pay whatever the servant could dream up. +Knowing that the king loved chess, the servant told the king he would like to have grains of wheat. +One grain on the first square of a chessboard, with the number of grains doubling on each successive square. diff --git a/exercises/practice/grains/.meta/config.json b/exercises/practice/grains/.meta/config.json index e60d1be..4ff4ae7 100644 --- a/exercises/practice/grains/.meta/config.json +++ b/exercises/practice/grains/.meta/config.json @@ -18,5 +18,5 @@ }, "blurb": "Calculate the number of grains of wheat on a chessboard given that the number on each square doubles.", "source": "The CodeRanch Cattle Drive, Assignment 6", - "source_url": "https://coderanch.com/wiki/718824/Grains" + "source_url": "https://web.archive.org/web/20240908084142/https://coderanch.com/wiki/718824/Grains" } diff --git a/exercises/practice/hamming/.docs/instructions.md b/exercises/practice/hamming/.docs/instructions.md index b9ae6ef..8f47a17 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 0000000..8419bf4 --- /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/hamming/.meta/config.json b/exercises/practice/hamming/.meta/config.json index da4f095..4c00e6c 100644 --- a/exercises/practice/hamming/.meta/config.json +++ b/exercises/practice/hamming/.meta/config.json @@ -14,7 +14,7 @@ ".meta/hamming.ys" ] }, - "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/" } diff --git a/exercises/practice/leap/.meta/config.json b/exercises/practice/leap/.meta/config.json index bf546b0..776de18 100644 --- a/exercises/practice/leap/.meta/config.json +++ b/exercises/practice/leap/.meta/config.json @@ -17,5 +17,5 @@ }, "blurb": "Determine whether a given year is a leap year.", "source": "CodeRanch Cattle Drive, Assignment 3", - "source_url": "https://coderanch.com/t/718816/Leap" + "source_url": "https://web.archive.org/web/20240907033714/https://coderanch.com/t/718816/Leap" } diff --git a/exercises/practice/luhn/.docs/instructions.md b/exercises/practice/luhn/.docs/instructions.md index 49934c1..5bbf007 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 0000000..ec2bd70 --- /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 60b8ec3..eab454e 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 0000000..c4142c5 --- /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 7dc34d2..4488080 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/rna-transcription/.docs/instructions.md b/exercises/practice/rna-transcription/.docs/instructions.md index 36da381..4dbfd3a 100644 --- a/exercises/practice/rna-transcription/.docs/instructions.md +++ b/exercises/practice/rna-transcription/.docs/instructions.md @@ -1,12 +1,12 @@ # 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: diff --git a/exercises/practice/rna-transcription/.meta/config.json b/exercises/practice/rna-transcription/.meta/config.json index 4898111..1e652c7 100644 --- a/exercises/practice/rna-transcription/.meta/config.json +++ b/exercises/practice/rna-transcription/.meta/config.json @@ -14,7 +14,7 @@ ".meta/rna-transcription.ys" ] }, - "blurb": "Given a DNA strand, return its RNA Complement Transcription.", + "blurb": "Given a DNA strand, return its RNA complement.", "source": "Hyperphysics", "source_url": "https://web.archive.org/web/20220408112140/http://hyperphysics.phy-astr.gsu.edu/hbase/Organic/transcription.html" } diff --git a/exercises/practice/sieve/.docs/instructions.md b/exercises/practice/sieve/.docs/instructions.md index 085c0a5..71292e1 100644 --- a/exercises/practice/sieve/.docs/instructions.md +++ b/exercises/practice/sieve/.docs/instructions.md @@ -6,37 +6,96 @@ A prime number is a number larger than 1 that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, and 13 are prime numbers. By contrast, 6 is _not_ a prime number as it not only divisible by 1 and itself, but also by 2 and 3. -To use the Sieve of Eratosthenes, you first create a list of all the numbers between 2 and your given number. -Then you repeat the following steps: +To use the Sieve of Eratosthenes, first, write out all the numbers from 2 up to and including your given number. +Then, follow these steps: -1. Find the next unmarked number in your list (skipping over marked numbers). +1. Find the next unmarked number (skipping over marked numbers). This is a prime number. 2. Mark all the multiples of that prime number as **not** prime. -You keep repeating these steps until you've gone through every number in your list. +Repeat the steps until you've gone through every number. At the end, all the unmarked numbers are prime. ~~~~exercism/note -The tests don't check that you've implemented the algorithm, only that you've come up with the correct list of primes. -To check you are implementing the Sieve correctly, a good first test is to check that you do not use division or remainder operations. +The Sieve of Eratosthenes marks off multiples of each prime using addition (repeatedly adding the prime) or multiplication (directly computing its multiples), rather than checking each number for divisibility. + +The tests don't check that you've implemented the algorithm, only that you've come up with the correct primes. ~~~~ ## Example Let's say you're finding the primes less than or equal to 10. -- List out 2, 3, 4, 5, 6, 7, 8, 9, 10, leaving them all unmarked. +- Write out 2, 3, 4, 5, 6, 7, 8, 9, 10, leaving them all unmarked. + + ```text + 2 3 4 5 6 7 8 9 10 + ``` + - 2 is unmarked and is therefore a prime. Mark 4, 6, 8 and 10 as "not prime". + + ```text + 2 3 [4] 5 [6] 7 [8] 9 [10] + ↑ + ``` + - 3 is unmarked and is therefore a prime. Mark 6 and 9 as not prime _(marking 6 is optional - as it's already been marked)_. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 4 is marked as "not prime", so we skip over it. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 5 is unmarked and is therefore a prime. Mark 10 as not prime _(optional - as it's already been marked)_. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 6 is marked as "not prime", so we skip over it. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 7 is unmarked and is therefore a prime. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 8 is marked as "not prime", so we skip over it. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 9 is marked as "not prime", so we skip over it. + + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + - 10 is marked as "not prime", so we stop as there are no more numbers to check. -You've examined all numbers and found 2, 3, 5, and 7 are still unmarked, which means they're the primes less than or equal to 10. + ```text + 2 3 [4] 5 [6] 7 [8] [9] [10] + ↑ + ``` + +You've examined all the numbers and found that 2, 3, 5, and 7 are still unmarked, meaning they're the primes less than or equal to 10. diff --git a/exercises/practice/square-root/.docs/instructions.md b/exercises/practice/square-root/.docs/instructions.md index e9905e9..d258b86 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 0000000..1d69293 --- /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.