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Background We define the two types of chain to be a string that contains only dashes, "-", or only underscores, "_". We link two chains using one equals sign, "=". Criteria: The type of chain must change following an equals sign. You must link the chains, you can do so multiple times, and it does not matter what lengt...
A followup to this challenge by Jeremy Collprav, inspired by DLosc solving this in Regenerate. Some sections copied from the linked challenge. Linking chains We define a chain to be a string containing exactly one or more of only the - character, or 1 or more of only the _ character, or two chains linked by a =. More f...
Background You have been given the task of calculating the number of landmines in a field. You must calculate the landmine score given a list/string of numbers and the landmine number. The landmine number tells you where landmines are. For each digit: if the left digit plus the right digit is equal to the landmine num...
Background You have again been given the task of calculating the number of landmines in a field. However, we have now travelled into the flatlands. You must calculate the landmine score given a list/string of numbers (which will be 2D) and the landmine number. The landmine number tells you where landmines are. For each...
Background You are planning your trip away from the Diamond City, and must travel through Diamond Road. However, Diamond Road branches away from Diamond City to different locations. Out of curiosity, you'd like to measure the total distance of unique roads used for all paths. We define a path as a string that only cont...
Given an initial \$n\$-tuple \$t_0=(t_{0,1},...,t_{0,n})\$, we can obtain its corresponding Ducci sequence \$\{t_0, t_1, ...\}\$ by the recurrence \$\displaystyle t_{i+1}=\left(\left|t_{i,1}-t_{i,2}\right|,\left|t_{i,2}-t_{i,3}\right|,...\left|t_{i,n}-t_{i,1}\right|\right)\$. That is, to obtain the next term of the seq...
Background You have again, again been given the task of calculating the number of landmines in a field. But this time, the field is foggy. You must calculate the landmine score given a list/string of numbers, the landmine number, and the land distance (all are numbers). The landmine number tells you where landmines are...
Inspired by the fact that a few related challenges to this could be answered by Vyxal in 0 Bytes using a special flag combination. Given only one input integer \$n\$, calculate \$f(n,n)\$ where $$ f(x,y)= \begin{cases} x & \text{if } y=0 \\ f(\left(\sum_{k=1}^xk\right),\text{ }y-1) & \text{otherwise} \end{cases} $$ If ...
Background In the game stick ranger, there is an item which grants the character the ability to get critical hits. Each time a projectile hits an enemy, it has some probability to be a critical hit (crit). For most weapons this is calculated independently each time, but for one class (the angel) things work differently...
There is a challenge for multiplying two numbers so I guess this counts too Given as input a positive real number n compute its natural logarithm. Your answer should be within \$10^{-6}\$ for \$1 \leq n \leq 10\$ and within \$10^{-3}\$ for \$0.1 \leq n \leq 100\$. You don't need to handle numbers outside this range. Se...
Background You have again x3 been given the task of calculating the number of landmines in a field. But this time, we have no landmine number, and some landmines have exploded. You must calculate the landmine score given a string of numbers. This is the landscape. You have no landmine number to start with. Instead, the...
Conway's Game of Life is a cellular automaton "played" on an infinite grid, filled with cells that are either alive or dead. Once given an initial state, the board evolves indefinitely according to the following rules: Any live cell with 2 or 3 living neighbours lives to the next state Any dead cell with exactly 3 liv...
Background You have again x4 been given the task of calculating the number of landmines in a field. But this time, the field is not a number field... it's a field of letters. Our landmine letter operator is sick and requires you to cover for them. They left you the following note: Things work a little differently with...
Given a number x, find the sum of all primes up to that number. The input will always be a positive number, bigger than 2. An upper limit isn't defined, so data types can be ignored. Use whichever you want. This is a code-golf, so the shortest code in bytes wins. Example for 5: 2 + 3 + 5 = 10 Test cases: Input Ou...
Diagonalize a vector into a matrix. Input A vector, list, array, etc. of integers \$\mathbf{v}\$ of length \$n\$. Output A \$n \times n\$ matrix, 2D array, etc. \$A\$ such that for each element \$a_i \in \mathbf{v}\$, $$ A = \left( \begin{array}{ccc} a_1 & 0 & \cdots & 0 \\ 0 & a_2 & \cdots & 0 \\ \vdots & \vdots & ...
Background A ray of light is fired from the top left vertex of an MxN Chamber, where M a denotes the width and N denotes the height of the chamber. The ray of light advances one grid space per second. Given that T is the number of seconds to be simulated, calculate the number of reflections in this time frame. For exam...
Output this table: -2* -1* - 0 - 1 2 -1* 0 1 - 2 3 4 1 2 3 - 4 5 6 3 4 - 5 - 6 7 5 6 - 7 - 8 9 6 7 8 - 9 10 11 8 9 10 - 11 12 13 10 11 - 12 - 13 14 You can output one string with two types of split, 1D string array with one type of split, or 2D string array If your language support mix...
Your task is it to output a number as a unary string. You get the number of a non-negative integer input in the range of 0 - 2'000'000'000. Rules You can choose any character for the digit you like. But it has to be the same everywhere and for every input. Output a unary string by outputting this character N times. N...
Balanced ternary is a modified version of ternary (base 3), using the three digits 1,0 and -1 (written as T) to represent numbers. The balanced ternary representation of -n can be obtained by replacing 1 with T and T with 1 in the balanced ternary representation of n. Examples: 1 // decimal: 1 T // decimal: -1 ...
My first code golf question post! Hope u like it ;-) The task is simple. Write either an stdin-stdout program or a function. Input is a 2D array which contains only either characters or the integer 0. You are allowed to replace the integers with the character '0' or null instead in any language (kudos to @SuperStormer ...
Fast and Golfiest Cops Thread Welcome to the first season of Fast and Golfiest, a cops-and-robbers challenge! I designed this challenge to encourage competitive coding for efficiency (fastest algorithm) to become more popular on the site. The rules are simple. The cops must choose a problem from LeetCode, the prestigio...
Fast and Golfiest Robbers Thread Welcome to the first season of Fast and Golfiest, a cops-and-robbers challenge! I designed this challenge to encourage competitive coding for efficiency (fastest algorithm) to become more popular on the site. The rules are simple. The cops choose problems from LeetCode, a competitive co...
I am sorry for the very long description. But i think some information of how /proc/self/cmdline works and how it can be used to get a integer input was necessary. You may skip the sections you don't need. While part of this task is related to C and Linux, it can be done in any almost language that can start other prog...
Behold! The Crystal Maze™ Time Matrix! 0 1 2 3 4 5 6 7 8 9 10 1 0 5 10 15 20 25 30 35 40 45 50 2 0 10 20 30 40 50 60 70 80 90 100 3 0 15 30 45 60 75 90 105 120 135 150 4 0 20 40 60 80 100 120 140 160 180 200 5 0 25 50 75 100 125 150 175 200 2...
Write a function (or a whole program) that outputs (or prints) the following ASCII art: Output: 1 1 2 1 1 2 3 2 1 1 2 3 4 3 2 1 1 2 3 4 5 4 3 2 1 1 2 3 4 5 6 5 4 3 2 1 1 2 3 4...
Anyone got tips for golfing in Thue. One tip per answer, and no tips aplicable to all languages (like remove comments)
The set of all polynomials with integer coefficients is countable. This means that there is a sequence that contains each polynomial with integer coefficients exactly once. Your goal is it to write a function or program that outputs such a sequence. Example (you may use another sequence): // list of integers [i -> Z(i)...
This challenge is about computing the chromatic number of special types of graphs. Input The input will consist of two integers. A positive integer \$n > 1\$. A distance \$d < n\$. Task The two inputs values will define a graph with \$2^n\$ nodes. Each node corresponds to a different binary array of length \$n\$. Tw...
Background You know how in text editors and just text fields in general, there's always that blinking bar where you type? Yeah, simulate typing there. You'll be given 3 inputs: The current text field, the position of the cursor, and the input sequence. Here's an example: Hello, World! 5 [U];[U];[B];[B];[B];[B];[B];[U];...
Background Imagine that I'm creating a really long necklace, consisting of only two characters, A and B. You must count the number of occurrences of the substring AB in the string. However, since it's a necklace, you must also consider if the last character and the first character join to make AB. For example, in BBBA,...
Write a program or function that takes input and outputs/returns a full program (in the same language) that outputs said input. Note that the input may contain any printable ASCII character or newline (AKA 0x20-0x7f and 0x0a). However, the input will not have trailing whitespace nor preceding whitespace, nor will it be...
On the Mathematica Stack Exchange, 100xln2 asks: I need a list of integers […] The list contains integers and is characterized by [three] parameters, lets call them k and j [and listmax], which should be variable. If k=1 and j=1 then the list would look like this: {1,3,5,7,9,11,....until listmax} If k=2 and j=3 then t...
The unique-disjointness matrix ( UDISJ(n) ) is a matrix on all pairs of subsets of {1...,n} with entries $$ U_{(A,B)}=\begin{cases} 0, ~ if ~ |A\cap B|=1\\ 1, ~ otherwise \end{cases} $$ Or a bit less mathematical, it is the 2n times 2n matrix with a 0 in all entries where both indices have exactly one common 1 bit in t...
Challenge You find yourself in a bash terminal, and want to do some simple tests on sqlite3. So you issue the following command: echo "CREATE TABLE T (id INT NON NULL PRIMARY KEY)" | sqlite3 test.db Now you want to insert the first N integers (starting from 0, excluding N) into the table T. For convenience, you execut...
Objective Given two Chinese ideographs meaning basic colors, output the ideograph that means the color resulting from mixing them. Basic colors The basic colors are: 靑(U+9751; blue) 赤(U+8D64; red) 黃(U+9EC3; yellow) 白(U+767D; white) 黑(U+9ED1; black) Mixed colors Mixing 靑(blue) and 赤(red) yields 靘(U+9758; purple). Mix...
A powerful number is a positive integer \$n\$ such that for every prime \$p\$ that divides \$n\$, \$p^2\$ also divides \$n\$. Or equivalently, \$n\$ is powerful if and only if it can be written in the form \$n = a^2b^3\$, where \$a\$ and \$b\$ are positive integers. For example, \$972 = 2^2 \times 3^5\$ is powerful, be...
There already have been multiple challenges about carryless multiplication, this challenge will work with the same calculation rules. You task is given a quadratic polynomial ax²+bx+c, to find an integer r such that a*r*r+b*r+c is zero, with + meaning exclusive or and * being carryless multiplication (use xor to add up...
Generative AI is here! It's great for certain things, but it has a few problems. Not only has it broken our Stack Exchange community, it also makes mistakes. For example, when you ask Bing AI if it is sentient, Bing says (credits to GPT Gone Wild) Your job is to print that text exactly. More specifically, Take no inp...
Today's problem is easy. You're given two strings A and B of equal length consisting of only the characters ( and ). Check whether after any number of operations you can make both strings balanced or not. The only operation allowed is swapping A[i] and B[i], where i is an arbitrary index. Here is the definition of a ba...
There have already been challenges about computing the exponential of a matrix , as well as computing the natural logarithm of a number. This challenge is about finding the (natural) logarithm of matrix. You task is to write a program of function that takes an invertible \$n \times n\$ matrix \$A\$ as input and returns...
Input An integer \$n\$ greater than or equal to 1. Output The number of bits in the binary representation of the integer that is the product of the first \$n\$ primes. Example The product of the first two primes is 6. This needs 3 bits to represent it. Given unlimited memory and time your code should always output the ...
First attempt at a question. Calculating Transitive Closure According to Wikipedia, "the transitive closure \$R^*\$ of a homogeneous binary relation \$R\$ on a set \$X\$ is the smallest relation on \$X\$ that contains \$R\$ and is transitive." Also, "a relation \$R\$ on a set \$X\$ is transitive if, for all \$x, y, z...
We have a challenge to calculate the hyperfactorial and one to count the trailing zeros of the factorial, so it seems logical to put them together and count the trailing zeros in the hyperfactorial. As a recap, the hyperfactorial of a number, H(n) is simply Πiⁱ, that is, 1¹·2²·3³·4⁴·5⁵·…·nⁿ. It can be defined recursiv...
A family of sets is called laminar if for any two sets \$A\$ and \$B\$ in the family one of the following is true: \$ A \subseteq B \$ \$ A \supseteq B \$ \$ A \cap B = \emptyset \$ Or less mathematical: A laminar set is a list of lists that satisfies the following condition: If two elements of the top level list hav...
Imagine a countable infinite amount of empty rooms. When an infinite amount of guests come, they occupy the 1st, 3rd, 5th...(all odd) empty rooms. Therefore there's always an infinite amount of empty rooms, and occupied guests needn't move when new guests come. - - - - - - - - - - - - - - - - - 1 - 1 - 1 - 1 - 1 - 1 - ...
This ascii-art challenge is about walking around a string like a snake. s-n-a-k .---. e d <-' a n-u-o-r You will be given a string \$ S \$ of length \$ l \$ and a positive integer \$ n \$ where \$ n ^ 2 \ge l + 1 \$. The string rotates 90° after writing \$ n \$ characters of \$ S \$, or when it hits itself. When \$ S ...
We've had powerful numbers, yes, but what about highly powerful numbers? Highly powerful numbers Let \$n\$ be a positive integer in the form $$n = p_1^{e_{p_1}(n)}p_2^{e_{p_2}(n)}\cdots p_k^{e_{p_k}(n)}$$ for distinct, increasing primes \$p_1, p_2, ..., p_k\$ and, where \$e_{p_i}(n)\$ is a positive integer for all \$i ...
This challenge was originally posted on codidact. You are a low-level censor working for the Ministry of Media Accuracy. Part of your job is to make sure that certain words don't appear in publications. Every morning you get a fresh stack of next week's newspapers and its your job to comb through them and fix any of ...
While implementing polynomial multiplication in Itr I found the following interesting operation on strings To compute the convolution of two strings (for instance Hello and World) first combine all pairs of letters with indices that add up to the same number (ordered by the index of the first element) 0 -> "HW" 1 -> "...
This challenge was originally posted on codidact. Given a number \$n \geq 3\$ as input output the smallest number \$k\$ such that the modular residues of \$k\$ by the first \$n\$ primes is exactly \$\{-1,0,1\}\$. That is, there are three primes in the first \$n\$ primes, so that prime 1 divides \$k\$, prime 2 divides ...
Input An array A of integers of length 100,000. The array will contain only integers in the range 0 to 1e7. Output The convolution of A with itself. As this will be of length 199999 you should time just the convolution calculation however, not the time to print out the answer. Example in Python import numpy as np from...
Above is the picture of the flag of the country Nepal. Pretty cool. What's cooler, is the aspect ratio, which is defined under the constitution as: That formula in copyable form: $$ 1 : \frac{6136891429688-306253616715\sqrt{2}-\sqrt{118-48\sqrt{2}}(934861968+20332617192\sqrt{2})}{4506606337686} $$ Your task is to out...
Input Two positive integers a > b Output The smallest integer c >= a so that c can be factored into two parts with one part an integer power of two (that is at least two) and the other part no larger than b. Examples If b = 100 and a = 101 , then the output should be 102 as 102 is 2 times 51. For the same b, if a = 201...
"Buzzing" Bill is a well respected beaver. He is the hardest working in his home dam. He was a strong beaver and was able to lift more logs than anyone at the dam. Unfortunately Buzzing Bill's career came to an end in a tragic accident. Being such a prominent figure in his town, the Beaver newspaper wanted to write a ...
Write the shortest program or function that will determine if an input is a valid Go type. Spec This challenge will use the following simplified subset of Go types. For more information, see the Golang specification. "Primitive" types: bool int,uint,float(32|64),complex(64|128),byte,rune string *T where T is any ty...
In combinatorics, the rook polynomial \$R_{m,n}(x)\$ of a \$m \times n\$ chessboard is the generating function for the numbers of arrangements of non-attacking rooks. To be precise: $$R_{m,n}(x) = \sum_{k=0}^{\min(m,n)} r_k x^k,$$ where \$r_k\$ is the number of ways to place \$k\$ rooks on an \$m \times n\$ chessboard ...
This challenge was originally posted on codidact. At my job we have to sometimes lay out materials. Materials come in large long rolls and are cut into smaller pieces when being laid out. When we order the rolls we draw up a layout document which describes how we are going to cut them and layout the pieces. This tells...
As in this challenge, the task is to generate the vertices of a polyhedron. The polyhedron here is the one obtained by dividing a regular icosahedron's triangular faces into smaller triangles so that each edge is divided into \$b\$ segments (denoted \$\{3,5+\}_{b,0}\$ here) and projecting onto the unit sphere. Your pro...
Given a sorted list of unique positive floats (none of which are integers) such as: [0.1, 0.2, 1.4, 2.3, 2.4, 2.5, 3.2] Evenly spread out the values that fall between two consecutive integers. So in this case you would get: [0.333, 0.666, 1.5, 2.25, 2.5, 2.75, 3.5] (I have truncated the values 1/3 and 2/3 for ease of...
Two points pand q in a topological space can be separated if there are open sets U and V such that: p is an element of U and q is an element of V U and V do not have any elements in common Your task is given a topology (a set of open sets) and two points p and q (p!=q) to output sets U and V satisfying the above cond...
The title says it all; Given a number in the binary (base-2) number system, output the same number expressed in unary (base-1). You should take the binary number as a string (optionally with a separator), list, or equivalent structure of digits, using any number or digit you like for the digits. The unary output can us...
Most people would cut circular pizzas into circular sectors to divide them up evenly, but it's also possible to divide them evenly by cutting them vertically like so, where each piece has the same area (assume the pizza has no crust): Challenge Your task is to make a program or function that takes a positive integer \...
This is the cops' thread. See the robbers' thread here. In this cops and robbers challenge, the cops will be tasked with writing an algorithm that computes some function of their choice, while the robbers will try to come up with their algorithm. The catch is, the 'algorithm' must be a single closed-form mathematical e...
This is the robbers' thread. See the cops' thread here. In this cops and robbers challenge, the cops will be tasked with writing an algorithm that computes some function of their choice, while the robbers will try to come up with their algorithm. The catch is, the 'algorithm' must be a single closed-form mathematical e...
Braille Patterns in Unicode contains 8 dots(⣿) and occupy area U+2800-U+28FF. Given a Braille Pattern character, where the bottom two dots are not used(aka. U+2800-U+283F), shift it down by one dot. Test cases: ⠀ => ⠀ (U+2800 -> U+2800) ⠅ => ⡂ ⠕ => ⡢ ⠿ => ⣶ Shortest code wins.
Input A single positive integer \$ 10 \geq n \geq 2\$ Output A list of strings, each of length \$2n\$, satisfying the following properties. Each string will contain each of the first \$n\$ lowercase letters of the alphabet exactly twice. No letter can occur twice consecutively. That is abbcac is not allowed. No two st...
In the UTF-8 encoding bytes of the Form 10****** can only appear within multi-byte sequences, with the length of the sequence already being determined by the first byte. When UTF-8 text is split within a multi-byte UTF-8 character sequence, this prevents that the second part of the sequence is wrongly detected as anoth...
This is the cops thread of this cops and robbers challenge. The robbers thread is here. Related, but hashes numbers instead of strings and uses a different scoring system. Definitions A hash collision is when two different strings produce the same hash. Summary In this challenge, the cops will make a hash function, wit...
This is the robbers thread of this cops and robbers challenge. The cops thread is here. Related, but hashes numbers instead of strings and uses a different scoring system. Definitions A hash collision is when two different strings produce the same hash. Summary In this challenge, the cops will make a hash function, wit...
Given a sequence of integers with length \$L\$ and an integer \$1 \le N \le L\$, an "\$N\$-rich" permutation is one whose the longest strictly increasing contiguous subsequence has length exactly \$N\$. For example, let our sequence be [0, 1, 2, 3]. There is exactly one \$1\$-rich permutation, given by [3, 2, 1, 0]. By...
This is a successor to a previous challenge. Input An integer \$1 \leq n \leq 5\$. Task Your code should produce all strings that satisfy the following properties: Your string should contain exactly two each of the first \$n\$ letters of the alphabet. It should not contain the same letter twice in a row It must start ...
Find the maximum possible number of disjoint sets of characters, that are Turing complete subsets of your language. Rules: You can assume your Turing complete subset is contained in/called from a main-function if that is required by your language The subsets must not share any characters (in the native encoding of th...
How to play the duck game This is a 2-player game. First, we start with a line of blue rubber ducks (represented here as circles): Now, in each turn, the current player can turn either one blue duck or two adjacent blue ducks red. So, a valid move would be indexes 2 and 3 (0-indexed): Then, the other player cou...
This sequence is defined as Starts with 1, 2, 3 The next element of the sequence is the first number greater than the previous three that is co-prime with each of the previous 3 elements in the sequence. In other words, if the previous 3 elements are a, b, c, then the next is the first integer n>c such that gcd(a,n)=...
I have the following Haskell code to generate the the values of the Fibonacci sequence which are even as an infinite list: z=zipWith(+) g=z((*2)<$>0:0:g)$z(0:g)$(*2)<$>scanl(+)1g This works by starting with 0,2 and then defining every following term to be the sum of: twice all prior terms the previous term twice the ...
Given a positive integer n, output a number meter formatted like this: 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 1 1 1 1 1 1 1 1 1 1 2 The input number is 20 in this example. More formally, the decimal representations of the numbers are arranged vertically, from most significant digits on the last row ...
Problem You are tasked with creating a program that performs emoji encryption on a given string of emojis. In this encryption scheme, each emoji is replaced by a unique character (from a to z). Your program should take an emoji string as input and output the corresponding encrypted string. The mapping of emojis to char...
(or: Output the plural demonym.) When in Rome, do as the Romans do. This is a well-known English phrase meaning that it’s best to follow what others are doing around you — to go with the flow. Today, you're going to rewrite the phrase to fit most (Western) place names. To get the name of a group that lives within a reg...
Recently I asked for tips on improving some code-golf of mine. The code was supposed to output every third value of the Fibonacci sequence starting with 2: 2,8,34,144,610,2584,10946,46368,196418,832040 However, I made a mistake in deriving my formula, and my code output a different sequence which is accurate for the ...
Your task is to find out how often you need to "shuffle" a given list with the following operation until you get back the original list. start with a list: (1 2 3 4 5 6 7 8 9) split it into the elements at odd and even indices (1 3 5 7 9) (2 4 6 8) concatenate these two list (1 3 5 7 9 2 4 6 8) Input: A list Output: ...
Challenge You just entered a room. Here's how it looks (you are the X): |\ /| | \/ | | X | | | |----| You challenge yourself to see if you can reach where you started by following the walls. You go right until you find a wall. Then, you turn clockwise until you are facing parallel to the wall. For example, if you...
Problem You've stumbled upon a paradoxical mathematical phenomenon related to prime numbers. Consider the following scenario: You have an infinite list of prime numbers: $$2, 3, 5, 7, 11, 13, 17, 19, ...$$ Now, you decide to pair up these prime numbers in a way that each prime is paired with its consecutive prime numbe...
Brief description of the game In the game Otteretto Classic (which you can test directly in your browser; try it!) the player has to form palindromic sequences using adjacent cells on a square grid. Each cell has one of five possible colours, which we will denote by the letters \$\mathrm A, \ldots, \mathrm E\$. The use...
One way to generalize the concept of a range from the integers to the Gaussian integers (complex numbers with integer real and imaginary part) is taking all numbers contained in the rectangle enclosed by the two ends of the range. So the range between two Gaussian integers a+bi and c+di would be all Gaussian integers x...
Write a program fragment so that, when repeated N times it prints the Nth Fibonacci number. For example, if your program is print(x) then: print(x) should print 1 print(x)print(x) should print 1 print(x)print(x)print(x) should print 2 print(x)print(x)print(x)print(x) should print 3 print(x)print(x)print(x)print(x)prin...
As the title says, given a valid chess move in algebraic notation, produce the string describing the move. Example: fxg8=Q+ -> Pawn takes g8 promotes to Queen check Bb7# -> Bishop to b7 mate Here is a list of all the keywords and their respective notation R -> Rook x -> takes N -> Knight ...
Problem You're a staircase engineer on a house and realize you only have n rectangles to create a staircase. So you are tasked with finding the number of ways to use n rectangles to tile a stairstep shape for the architects. Your task is to write a program that takes a non-negative integer n as input and calculates the...
Stevin's Notation is a way to represent decimals in a non-fractional way. The Flemish mathematician and engineer Simon Stevin is remembered for his study of decimal fractions. Although he was not the first to use decimal fractions (they are found in the work of the tenth-century Islamic mathematician al-Uqlidisi), it ...
We already have a challenge about multiplying multiply single-variable polynomials. This challenge is about multiply two polynomials with multiple variables Your task is given two multi-variable polynomials (for instance given as nested lists) to return their product. Examples (x²+x+1)*(x²+x+1)=x⁴+2x³+3x²+2x+1 (x+y)*(x...
Background Fibonacci numbers are defined as follows: $$ F_0 = 0, F_1 = 1, F_n = F_{n-1} + F_{n-2} $$ The Zeckendorf representation is a representation of positive integers as a sum of one or more non-adjacent Fibonacci numbers, using indices 2 and higher. It is known that such a representation is unique for every posit...
Background Given an elementary cellular automaton rule number like, for example, 28 = 00011100… We can swap \$\color{red}{\text{the 2nd bit with the 5th bit}}\$ and \$\color{orange}{\text{the 4th bit with the 7th bit}}\$ to get a rule that acts the same way but mirrored horizontally. This gets us 01000110 = 70. We ca...
Given two strings \$A\$ and \$B\$ with edit (Levenshtein) distance \$x\$, find a third string with edit distance \$a\$ to \$A\$ and edit distance \$b\$ to \$B\$ so that \$a+b=x\$ and \$a=int(x/2)\$ (that is half of \$x\$ rounded down to the nearest integer). The input is the two strings \$A\$ and \$B\$ and their edit d...
The round function in Python 3 will round values of the form \$k+\frac{1}{2}\$ (with \$k\$ being an integer) to the nearest even integer, which is apparently better than the rounding method taught in school Your task is to recreate this functionality: write a program of function that given a (real) number as input, out...
The Challenge Given two vertexes and a point calculate the distance to the line segment defined by those points. This can be calculated with the following psudocode def dist(point, v1, v2): direction := normalize(v2-v1) distance := length(v2-v1) difference := point - v1 pointProgress ...
TailwindCSS is a utility that lets one write CSS code using only HTML classes, which are then converted to CSS code with the Tailwind compiler. Ordinarily, one would write CSS in a separate file from the HTML, and reference named classes: <!-- without Tailwind --> <p class="crazy-monologue">Crazy? I was crazy once. The...
ello all, I hope this finds you well. There are 118 elements on the Periodic table at the moment, each one corresponds to the number of protons in an atom's nuclei. Each element also has a 'symbol'. Hydrogen has 'H', Helium has 'He' and so on. I want to know about these! Challenge: Given 1 string as input, output true ...
We already have a challenge for computing the GCD of two Gaussian integers, but that challenge explicitly allows to choose any of the four possible values. Your task now is to bring the Gaussian integer computed by the GCD in the following normal form: The result differs from the original number by a factor of 1,i,-1 ...
Objective Given a date, spell it out in Romanized Japanese. I/O Format The input format is flexible. The output format is <month spelling> <day spelling>; note the space. You can freely mix cases in output. You may output trailing newline. Mapping Months Month Spelling January Ichigatsu February Nigatsu Mar...
A Knight in chess moves two squares vertically and one square horizontally, or two squares horizontally and one square vertically (with both forming the shape of a capital L) Given a Knight current square in a chess board and an array of unavailable squares, calculate the minimum number of valid jumps required to reac...
In this challenge, we consider an encoding from positive integers (up to a limit) to binary sequences. Some examples: A. 1 -> 00, 2 -> 01, 3 -> 10, 4 -> 11 B. 1 -> 0, 2 -> 1, 3 -> 01 C. 1 -> (empty sequence) A prefix code is a coding where no code is a prefix of another. B is not a prefix code because the code for 1...