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The Objective Build a random number generator whose range is \$\left[0,1\right) \cap \mathbb{Q} .\$ This is, build a random number generator that can produce any value that's: at least \$0 \,;\$ not \$1\$ or greater; and expressible as the ratio of two integers. What's the fuss? This RNG is weird. Its range is nowhe...
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Inspired by this challenge from puzzling.SE. Polyominoes are fun - you can fill all sorts of shapes with them. But as soon as you have limits on what polyominoes you can use, you sadly start running into shapes you can't fill. Today we'll be looking at the L tromino - a shape made up of three conjoined squares, in such...
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Back again, stealing another question from stackoverflow. You are given a list of integers >= 0. Generate in order square 1-matrices where the side length is given by the list entry of the current index and fill the rest with 0s. So given a list 2,4,1,3 print this to stdout: 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 ...
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You are given a matrix of forward and back slashes, for instance: //\\ \//\ //\/ A slash cuts along the diagonal of its cell corner-to-corner, splitting it in two pieces. Pieces from adjacent (horizontally or vertically) cells are glued together. Your task is to count the number of resulting pieces. For the same examp...
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The (slightly harder, but still easy) sequel of Generate input for this hardware. Background I have a hardware that has a 32-bit input register. The register has the following characteristics: The 32-bit register consists of eight 4-bit fields. Each 4-bit field holds a value in signed-magnitude; it can hold an integer...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
You probably know what a Turing Machine is but do you know what is a Turning Machine (lathe)? Ok you already know.. and what about a Golf Turning Machine ?? Ok I tell you.. A Golf Turning Machine is a full program or function taking a list/array (or any convenient method) representing the Profile (P) of a turned piece ...
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Input This task takes no input. Output Your code should compute and print (or return) \$\pi^y\$ for all \$y = \frac11, \frac12, \frac13, \frac14, \frac15, \frac16, \frac17, \frac18, \frac19, \frac1{10}, \frac1{11}, \frac1{12}\$. The first 20 digits of the output (truncated and without any rounding) should be correct i...
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In convolutional neural networks, one of the main types of layers usually implemented is called the Pooling Layer. Sometimes, the input image is big (and therefore time consuming especially if you have a big input set) or there is sparse data. In these cases, the objective of the Pooling Layers is to reduce the spatial...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
Background A spanning tree (Wikipedia) of an undirected graph is a subgraph that is a tree which includes all of the vertices of the original graph. The following is an example of a spanning tree of a 4-by-4 grid graph. Task Given two positive integers w and h, output any valid spanning tree of the grid graph which ha...
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Introduction The Fibonacci sequence is a mathematical sequence in which each term is the sum of the \$2\$ terms before it; the first two terms are \$0\$ and \$1\$. The first few terms are \$0, 1, 1, 2, 3, 5, 8, 13\$. However, it is possible to make variations of this sequence, where each term is the sum of the, say \$3...
[ [ 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220 ], [ 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 20 ], [ 11, 220, 16, 11, 220, 17, 11, 220, 18, 11...
Print the ASCII version of a random grid. ################################################################################ # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ############# # # ...
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I have a piece of paper whose shape is a regular n-gon with side length 1. Then I fold it through some of its diagonals. What is the area of the shape formed by the (former) edges of the regular polygon? Illustration Suppose n = 8, i.e. an octagon-shaped paper. Let's name the vertices from A to H (left picture). Then I...
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Description Your input is a list of integers \$[a_1, \dots, a_n]\$. A magic triplet is a triplet \$(a_i, a_j, a_k)\$ of values from this list, such that the indices \$\{i, j, k\}\$ are all distinct, the values are in ascending order (\$a_i \leq a_j \leq a_k\$), and the sum of two of the values equals the third. Your ...
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Introduction The Cartesian product of two lists is calculated by iterating over every element in the first and second list and outputting points. This is not a very good definition, so here are some examples: the Cartesian product of [1, 2] and [3, 4] is [(1, 3), (1, 4), (2, 3), (2, 4)]. The product of [1] and [2] is [...
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Background The Look and Say Sequence is built up by reading off the digits of previous entries in the sequence, counting the number of digits in groups of the same digit. For example: 1 => 11 # (one 1) 11 => 21 # (two 1s) 21 => 1211 # (one 2, then one 1) 1211 => 111221 # (one 1, then one 2, then two 1s) This sequence ...
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Disclaimer: This challenge inspired by me trying to find pairs in a large pile of socks. Disclaimer: This is looking for a very different process and output to Help me sort my socks!. Please don't claim it as a duplicate until you've read both ;) So, I have a huge pile of socks. Of course I keep them categorized by c...
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Please note: this is a restricted-source challenge — see details below! Each natural number \$n\$ has 10 faces: its decimal representations in bases \$1\$ through to \$10\$. For example, the 10 faces of \$12\$ are \$[111111111111, 1100, 110, 30, 22, 20, 15, 14, 13, 12]\$, and the 10 faces of \$4\$ are \$[1111, 100, 11,...
[ [ 220, 15, 11, 220, 16, 11, 220, 16, 11, 220, 18, 11, 220 ] ]
I have a fixed length vector of 4 elements. The inputs of which are always 0 or 2^n for n = 1 to 15 (so n = 0 excluded i.e. 2^0 = 1 will not appear) x = [32, 4, 4, 8] the result should be x = [32, 8, 8, 0] The way it works is that values that are the same will get combined, but one it's combined it can not be combined...
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Write a function or program which takes as input a set of distinct, non-negative integers \$\{x_1, \ldots, x_n\}\$ and outputs the smallest gap between any two values in the set, i.e. \$\min_{i\neq j}|x_i-x_j|\$. Scoring This is not code golf. Your score is the smallest gap of the set of code points of characters in yo...
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Inspired by Help me pair my socks, and the fact that I have some pairs of socks where the left sock is distinct from the right. Background Again, I have a huge pile of socks. And a machine that can give the list of labels of the socks for me. This time, the labels follow these rules: Some socks have left and right ve...
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Introduction An elementary cellular automaton is a cellular automaton that is 1-dimensional and has 2 states, 1 and 0. These cellular automata are categorized based on a simple code: the Wolfram code, invented by Stephen Wolfram (yes, the Wolfram | Alpha guy). It works like this: First, you the set of all possible sta...
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Introduction Big 2 is a card game popular in East Asia and South East Asia, in which 4 players are dealt 13 cards each (ie, an equal division of a standard deck without jokers). The goal is to empty your hand before any of the other players. Players take turns playing combinations of a Big 2 subset of standard poker ha...
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Golfeek is the working name of an esolang I'm occasionally working on. One distinctive feature of this language is that each statement is encoded as a sequence of bits rather than a sequence of bytes. Instead of just showing a long binary sequence, the 'gutter' of the source editor contains a representation of each sta...
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Flip flop is a memory / arithmetic game that I played in high school. Some number of players stand in a circle. The players take turns. On the nth turn, the current player checks: What is the largest power of 7 dividing n? How many instances of the digit 7 does the decimal representation of n contain? What is the larg...
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The \$d\$-dimensional vector space \$\mathbb{F}_2^d\$ over the field with two elements \$\mathbb{F}_2\$ is the set of vectors of \$d\$ bits. Addition of vectors is bitwise xor. A linear dependence is a set of vectors whose total (xor them all together) is \$0\$. Every set of \$d+1\$ vectors in \$\mathbb{F}_2^d\$ contai...
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The Challenge Given a finite list of integers, split it into the fewest partitions possible such that no partition contains a number more than once. Rules Input can be in any format and any order. Output can be in any format, as long as it's clear that each group is separate. This is code-golf, so lowest score wins! Ex...
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\$GF(9)\$ or \$GF(3^2)\$ is the smallest finite field whose order isn't a prime or a power of two. Finite fields of prime order aren't particurlarly interesting and there are already challenges for \$GF(2^8)\$ (link) and \$GF(2^{64})\$ (link). Challenge First define nine elements of the field. These must be distinct in...
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(Inspired by the Keg utility of this challenge) Given a non-empty input string, e.g. s c 1= e(a"E"), split the input into even-odd chunks. Example (Feel free to suggest more) I can only think of this test case, fee free to suggest more. This input string, when mapped to its code points, yields the list [115, 32, 99, 32...
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If \$f,g\colon \mathbb{Z}_{\geq 1} \to \mathbb{R}\$, the Dirichlet convolution of \$f\$ and \$g\$ is defined by \$ \qquad\qquad\qquad \displaystyle (f*g)(n) = \sum_{d|n}f(d)g(n/d).\$ This question asked about computing Dirchlet convolution of functions. The identity element of the Dirichlet convolution is the functi...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
As the trip through the solar system on your way to rescue Santa gets a little droll, so perhaps some optimizations to your Intcode Computer are in order. Namely, making it as small as possible because you've got nothing better to do with your time. Check out Advent of Code if you haven't already, the guy that makes th...
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Given a sequence \$S\$ with length \$n\$ of exactly one each of whole numbers from \$1\$ to \$n\$, your task is to return a number \$\sigma\$ indicating how shuffled it is. Definition of shuffledness Humans perceive shuffling randomness locally [Citation Needed], so the shuffledness of a sequence is based on the abilit...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220 ] ]
Significantly harder version of Spanning tree of a rectangular grid. Background A spanning tree (Wikipedia) of an undirected graph is a subgraph that is a tree which includes all of the vertices of the original graph. The following is an example of a spanning tree of a 4-by-4 grid graph. Task Given two positive intege...
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Given a sequence of base-10 digits, output the longest list of integers that contains all the digits exactly once, in the order in which they appeared in the input, without repeating any integers. Examples Input: 12345 Output: [1, 2, 3, 4, 5] Input: 12123 Output: [1, 2, 12, 3] Input: 10010 Output: [100, 1, 0] Input:...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ] ]
In this task you are expected to provide a list output given an input tq program. The tq programs will not contain whitespace inside them. What is tq, in the first place? tq is a lazy-evaluated language that is designed with the idea that array items should be accessable during the definition of them. In tq, there is n...
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Challenge Write a program or function that converts a 32 bit binary number to its quad-dotted decimal notation (often used for representing IPv4) Quad-dotted decimal A quad-dotted decimal is formed like so: Split the binary representation into its 4 individual bytes Convert each byte into denary place "." between each...
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Given two nonempty arrays of natural numbers \$a\$ and \$b\$, return the shortest nonempty array of pairs of natural numbers \$q\$ such that the sequence of first elements of \$q\$ consists of a whole number of repeated copies of \$a\$, and the sequence of second elements of \$q\$ consists of a whole number of repeated...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
If \$f(x) = x + \sum_{i>1} a_ix^i\$ and \$g(x)=x+\sum_{i>1}b_ix^i\$ then there is a composite power series \$f(g(x))\$ also of this form. Given a power series \$f\$ the goal is to find a compositional inverse \$f^{-1}\$ so that \$f(f^{-1}(x))=x\$. One approach to this is recursive: start with a guess \$g_1(x)=x\$ for t...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
In musical notation, groups of notes shorter than one beat are joined together by a line at the bottom called a beam. Here are a few bars of music with the beams highlighted: (Taken from Second Suite in F by Gustav Holst; you can hear how these notes sound at 0:13 in this video.) You may notice that beam #6 is above t...
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The challenge - given a numeric list L and an integer N as inputs, write a function that: finds the bucket sizes for L such that it is split into N whole buckets of equal or near-equal size, and returns for each element in L the minimum of that element's bucket. Example - L=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] N=...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
The challenge is to implement a program or function (subsequently referred to as "program") that takes a nonnegative integer \$n\$ as input and returns \$n\over\sqrt{2}\$ (the input divided by the square root of two) as output, rounded to a nonnegative integer. You may take your input and output in any reasonable forma...
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This challenge is about the number of orderings which contain at most \$n\$ classes and at most \$k\$ of the \$k^{\text{th}}\$ class. One way to represent such an ordering is as a sequence of positive integers with these three restrictions: A number may only appear after all lower numbers have appeared All numbers whi...
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Challenge: Your challenge is to write an interpreter for Whitespace. Given a string consisting of spaces, tabs, newlines, and potentially other characters, as well as possible inputs for the Whitespace program itself, output the result of the given Whitespace program. Here is an overview of the Whitespace language and ...
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Alice and Bob are perfect logicians trapped on an island with a puzzle generator. Although they can instantly solve the Riemann hypothesis and P=NP just by thinking about it, rather than doing anything useful, they amuse themselves by giving each other puzzles. The setup is as follows: a positive integer n is chosen by...
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The sequence Given an integer \$n>0\$, we define \$a(n)\$ as the lowest positive integer such that there exists exactly \$n\$ positive integers smaller than \$a(n)\$ whose sum of digits is equal to the sum of the digits of \$a(n)\$. Edit: this sequence has since been published as A332046 First terms n | a(n) | sum of...
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Task Given the x,y coordinates (coordinates are guaranteed to be integers) of the vertices of two simple polygons in clockwise or anti-clockwise order. Output a Truthy value if both the polygons are similar otherwise a Falsy value A simple polygon is a polygon that does not intersect itself and has no holes. That is, i...
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CodeDrawing one-liner Teaser Behold this formidable drawing: Can you draw this in a single stroke? Give it a try. Can you do this one, now: Give it a try. How it works These "make this drawing with one pen stroke" problems are graph-theory problems with a rather simple solution. For each vertex, compute its degree. I...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
Context In this challenge, a random walk is a stochastic process in which a particle at a position with integer coordinates (or a drunk man) moves at each integer time step (that is, at t = 1, 2, 3, ...) by taking a step of size 1 to any of its neighbouring positions, with the direction of the step being aligned with t...
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Background We define a circular step sequence of order \$n\$ as follows: $$ a_1, a_2, \dots, a_n = \text{Permutation of } 1 \dots n \\ b_i = \min ( |a_{i+1} - a_i|, n-|a_{i+1} - a_i| ), 1 \le i < n \\ \text{Circular step sequence} \stackrel{\text{def}}{=} b_1, b_2, \dots, b_{n-1} $$ Informally, it is the \$n-1\$ distan...
[ [ 64, 62, 16, 11, 264, 62, 17, 11, 1124, 67816, 11, 264, 1089 ] ]
My robot for generating Mad Libs-style sequence challenges has gone rogue! To defeat it, I need you to write code that can solve all the challenges it can crank out. Your input is three selections for the blanks A, B, C, each from (1,2,3), specifying the sequence challenge to solve, and the number \$n\$ that's the inpu...
[ [ 220, 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220 ], [ 16, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 20 ], [ 11, 220, 16, 11, 220, 17, 11, 220, 18, 11...
This is a simple game of getting rid of those damn numbers. You start with the numbers from 1 to 19, written in a grid of 9 by 3: 1 2 3 4 5 6 7 8 9 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 You may notice that the number 10 is missing, this because the number zero would be hard to get rid of later on. The two rules are: I...
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Task Given a set of n unique elements and a multiset l of positive numbers that add up to n, find all the ways of partitioning those unique elements into disjoint sets with sizes given by the elements of l. (A multiset is a set that allows repeated elements) The point here is that we are taking everything in the output...
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Given an positive integer n (including 0 if you decide to support it), output all numbers in the generated sequence up to the index n. For the current test cases of the current challenge numbers are one-indexed. Feel free to submit 0-indexed answers though. Base sequence We start from this sequence (NOT, but quite simi...
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Inspiring myself on a recent challenge, we ought to compute a sequence that is very close to A160242. Task Your task is to generate the sequence \$ \{s_i\}_{i=0}^\infty \$: 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, ... Which is more easily understandable in this format: 1 2 1 1 2...
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This code-golf challenge will have you computing OEIS sequence A300154. Consider a spiral on an infinite hexagonal grid. a(n) is the number of cells in the part of the spiral from 1st to n-th cell that are on the same [row*] or diagonal (in any of three directions) as the n-th cell along the spiral, including that cel...
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Let's consider the sequence of the binary representation of positive integers (without any leading zero): 1 2 3 4 5 6 7 8 9 10 11 12 ... 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 ... If we join them together, we get: 1101110010111011110001001101010111100 ... If we now look for the pattern...
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In the shortest amount of code in any programming language, filter out the duplicate items in an array of which the order is irrelevant. Here are some test cases: [1, 2, 2, 3, 1, 2, 4] => [1, 2, 3, 4] ['a', 'a', 'b', 'a', 'c', 'a', 'd'] => ['a', 'b', 'c', 'd'] I also should note that there currently aren't any open q...
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Sequel of Counting valid Binary Sudoku rows. Background Binary Sudoku, also known as Takuzu, Binario, and Tic-Tac-Logic, is a puzzle where the objective is to fill a rectangular grid with two symbols (0s and 1s for this challenge) under the following constraints: Each row/column cannot have a substring of 000 or 111, ...
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As input you will receive An integer \$a\$ A list of integers that is infinite and strictly-monotonic1. Your program should check in finite time if \$a\$ appears the list. You should output one of two distinct values. One if \$a\$ appears in the list and the other if \$a\$ does not. This is code-golf so answers wi...
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Here in Russia, we have a little-known card game with the name, when translated directly, means Rooster. The cards used are two full 54-card decks of playing cards from 2 through aces, with jokers. The game for each player divides into two stages. In the first stage, each player has 14 cards dealt, and with those cards...
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The Levenshtein distance between two strings is the minimum number of single character insertions, deletions and substitutions needed to transform one string into the other. Let us call insertions, deletions and substitutions "edit operations". We will say that any sequence of \$k\$ edit operations that transforms on...
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This challenge is about creating these neat "green spray paint" patterns: (more pictures below) Loosely explained, they are generated by starting with a black image and a point in the center. That point is successively moved by a randomly chosen offset or delta in x and y. Every pixel the point visits has 1 added t...
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Background This challenge is about A004001, a.k.a. Hofstadter-Conway $10000 sequence: $$ a_1 = a_2 = 1, \quad a_n = a_{a_{n-1}} + a_{n-a_{n-1}} $$ which starts with 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 7, 7, 8, 8, 8, 8, 9, 10, 11, 12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 16, 16, 16, ... John Conway proved the following proper...
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Two Deterministic Finite Automata or DFAs can be checked to see if they accept same set of strings in polynomial time. See section 3.3 of this for a long list of methods and this SO question/answer for a much shorter list. Input Your input will be two DFAs. In order to be able to test your code, I have provided DFAs i...
[ [ 11, 220, 16, 17, 11, 220, 16, 19, 11, 220, 16, 21, 11 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 17, 11, 220, 16, 19, 11, 220, 16, ...
Background Penney's game is a two-player game about coin tossing. Player A announces a sequence of heads and tails of length \$n\$, then player B selects a different sequence of same length. The winner is the one whose sequence appears first as a substring (consecutive subsequence) in repeated coin toss. Conway's algor...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
Frustration is a solitaire card game which is played by calling out the sequence: “Ace”, “Two”, “Three”, ... , "Nine", "Ten", “Jack”, “Queen”, “King”, “Ace”, “Two”, etc. With each call, you simultaneously flip over a card from a shuffled deck of 52 cards. You win the game if you get through the entire deck without ever...
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You are employed as Administrator in charge of Road Maintenance and Planning. The intelligence division of the Agency for Road Maintenance and Planning has come up with a brilliant and not at all inefficient way to take random sample pictures of the roads: missiles with cameras on them. In this genius and not at all w...
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Convert NFA to DFA as quickly as possible. Input Your input will be an NFA. In order to be able to test your code, it needs to be able to handle an NFA in the following format. This is taken directly from GAP (and slightly simplified). Automaton( Type, Size, Alphabet, TransitionTable, Initial, Accepting ) For the inp...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
(This is A065825.) The sequence defaults apply, so you can pick another format other than this one. Given an input integer n, find the smallest number k so that there exists an n-item subset of {1,...,k} where no three items form an arithmetic progression. Procedure Here, we calculate A065825(9). We assume you have alr...
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You are given a list of at least two positive integers as input. The challenge is to find such a position of a cut that minimizes the absolute difference between the sums of the two parts (to the left and to the right of it). The position should be given as the index of the first element after the cut. This is tagged c...
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Given a list of 2 or more strictly positive integers, sum the first and last half of the list, with the middle element being counted only in the right half if the list has an odd number of elements Some examples of the middle element being counted in the right half: [1, 2, 3, 4] -> Left: [1, 2]; Right: [3, 4] ...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
The Rubik's Snake (or Rubik's Twist) is a toy consisting of several triangular prisms strung together in a line in such a way that the pieces can be rotated about one another in 90 degree turns. Any snake can be described by an ordered sequence of rotations (format described below). Some sequences do not describe phy...
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Introduction A picross, also known as a nonogram, is a logic puzzle in which the player is given an initially blank grid and must shade in particular boxes on the grid to reveal an image. Numbers are written on the top and the left side, and they explain the image's coloration: each number corresponds to an unbroken li...
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Background Consider the shape \$T(n)\$ consisting of a triangular array of \$\frac{n(n+1)}{2}\$ unit regular hexagons: John Conway proved that \$n = 12k + 0,2,9,11\$ if and only if \$T(n)\$ can be tiled (i.e. exactly covered without overlapping) with \$T(2)\$. At the same time, he also proved that no coloring argument...
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Partially inspired by this question. Overview The execution of Goggle kids Code starts with an empty binary tape with 100 items, with the pointer starting at the index 0: 00000... ^ At the end of the execution, you can assume that the tape is implicitly outputted. Instructions Goggle kids Code is a simple language inv...
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Task Given the situation with this global pandemic, you've been enlisted to help maintain social distancing. Your challenge, should you choose to accept it, is to write a program that takes in the positions of a group of people and checks whether the group is following social distancing rules. Your program must output ...
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Congratulations to Neil for hitting 100k rep! As a tribute, we are going to study 'Neil numbers'. Neil's user ID is 17602 and there's something special about the binary representation of this number: $$17602_{10}=1\color{blue}{000}1\color{blue}{00}11\color{blue}{0000}1\color{blue}{0}_2$$ $$\begin{array}{c|c} 1&\color{b...
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Background The game Grand Theft Auto: San Andreas went down in history also thanks to its wide selection of cheats. They're almost 90 and anyone who has ever touched this game, no doubt has tried them all! One cheat is activated (on PC) typing in-game a secret keyword, and then boom, a jet pops out of thin air or perha...
[ [ 425, 11, 356, 11, 422, 11, 468, 11, 434, 11, 479, 11, 472 ], [ 11, 422, 11, 468, 11, 434, 11, 479, 11, 472, 11, 358, 11 ], [ 11, 356, 11, 422, 11, 468, 11, 434, 11, ...
Background Define a run in a list as a maximal contiguous subsequence of identical values. For example, the list 0 0 0 1 1 0 3 3 3 2 2 has five runs of lengths 3, 2, 1, 3, 2 respectively. (Think of run-length encoding.) Then define a cut operation as removing one item from each run of a list. Applied to the list above...
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The ball game is a game in which a number of players sit together in a circle. Each player is first assigned a number \$ n \$, either 1, 2, or 3. The game begins with any starting player, and proceeds clockwise around the circle. The current player with the ball throws it to the next player. Who the next player is sole...
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Background My user ID is 78410, or \$1 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0_2\$. One interesting property of this number is that, in binary, it doesn't have three consecutive identical digits, and yet it has a substring \$100100100\$ which is three copies of \$100\$. So, I define a Bubbler number as a positive integer who...
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The 2020-05-29 xkcd comic showed us the numbers that Randall Munroe feels would be most likely to result from multiplication, other than the correct answers. The table does seem to have some sort of twisted logic to it. For your convenience, the Wrong Times Table is reproduced here in selectable format: +-----+-----+--...
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Carcassonne is a tile-based game, where the objective is to construct Roads, Cities and Monasteries, in order to score points. The game works by players taking turns to draw and place tiles to construct a landscape, then claiming roads, cities and monasteries. An example landscape is: There are \$19\$ distinct tiles (...
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June 2020 is a month in which June 1st corresponds to Monday, June 2nd corresponds to Tuesday, ... June 7th corresponds to Sunday. For reference, here's the cal of June 2020. June 2020 Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ...
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Task Given a matrix of numbers \$M\$ with \$r\$ rows and \$c\$ columns, and the magnification factor \$n\$, build the matrix with \$rn\$ rows and \$cn\$ columns where the original elements are spaced \$n\$ units apart and the gaps are filled by piecewise linear interpolation: $$ \begin{bmatrix} a_{11} & a_{12} ...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
Related Challenge: Single Digit Representations of Natural Numbers Task Write a program/function that when given a non-negative integer \$n \le 100000\$ outputs an expression which uses all the digits from \$0\$ to \$9\$ exactly once and evaluates to \$n\$ The expression outputted by your program may only use the opera...
[ [ 488, 220, 17, 488, 220, 18, 488, 220, 19, 488, 220, 20, 488 ], [ 18, 488, 220, 19, 488, 220, 20, 488, 220, 21, 488, 220, 22 ], [ 488, 220, 20, 488, 220, 21, 488, 220, ...
This challenge is a relatively simple concept that I'm surprised has not been done yet. You will be given only an integer as an input. Your task is to find the date that is this number of days from January 1st, 1984. This challenge is uniquely for the Gregorian calendar (which is standard almost everywhere). One restri...
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Task Write a program/function that when given a positive integer \$n\$ splits the numbers from \$1\$ to \$n\$ into two sets, so that no integers \$a, b, c\$, satisfying \$a^2 + b^2 = c^2\$ are all in the same set. For example, if \$3\$ and \$4\$ are in the first set, then \$5\$ must be in the second set since \$3^2+4^2...
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We've had Meta Regex Golf and Display OEIS Sequences. Now, it is time for Meta OEIS Golf. Challenge Given a sequence of integers, your program/function should output a program/function in the same language that then outputs the same sequence. A simple example in Python would be def f(sequence): # generate a dictionar...
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This a simple question. The start day is a Saturday and let the input be a non-negative number x. The output should be the number of weekdays (Mon-Fri) in the next x days inclusive. For example, if x = 3 then the output should be 2. For x from 0 onwards the output should be: 0,0,1,2,3,4,5,5,5,6,7,8,9,10,10,10,11,... —...
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Challenge Given a matrix of digits (0-9), find the smallest (in terms of area) rectangular matrix of digits where one or more copies of itself, possibly rotated, can tile the original matrix. Reflection is not allowed (think of a collection of tiles on a wall or floor). Input can be taken in any reasonable ways to repr...
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You are given a non-empty list of positive integers. Your task is to figure out how many distinct numbers can be obtained by applying the following algorithm: Remove either the first or the last item from the list and initialize N to the corresponding value. Remove either the first or the last item from the list. Let'...
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Background Adám and I were once discussing a way to properly extend some features in Dyalog APL. I came up with the following extension to Take, a function that takes some front or back elements (and an analogous extension to Drop). We agreed that it was a good idea, but it was incredibly hard to come up with a piece o...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ], [ 220, 16, 11, 220, 17, 11, 220, 18, 11, 220...
Because I forgot to celebrate Pi Day (14.3), let's celebrate with \$\pi\$, \$e\$ (Euler's number) and music! Challenge No, we don't have time to eat a pi-pizza, let's make a program. What you need is \$500\$ digits of \$\pi\$, and \$10\$ digits of \$e\$. The input is an integer \$n\$ between \$0\$ and \$499\$ inclusiv...
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Sandbox Many of us have seen math problems where a shape made of unit cubes is dipped in paint, and the answer is the number of painted sides. We'll generalize that problem in this challenge. Input A 3-dimensional matrix of 0s and 1s. Output A non-negative integer Challenge Given a n by m by k matrix of 0s and 1s, we c...
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Background In Minesweeper, you will often encounter a horizontal or vertical wall of one's and two's (not yet revealed cells are marked as ?): ... 1 1 1 1 2 2 2 1 2 1 1 ... ... ? ? ? ? ? ? ? ? ? ? ? ... ... A B C D E F G H ... It is equivalent to a problem of recovering zeros and ones in a boolean array when only wind...
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Background Sometimes in calculus you're expected to calculate the sum of an infinite series. Sometimes these series are very friendly, like a geometric series, but add anything else onto it and it can quickly get complicated to solve by hand. Sometimes I like to be lazy - a lot of sums can be found simply by adding the...
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Background Milking the deck is the name given to the following card shuffling method: 'Pinch' the deck to remove the top and bottom cards simultaneously. (With lots of imagination, this action resembles milking a cow.) This pair of cards forms the base of a new pile. Repeat, adding each pair of cards to the top of the...
[ [ 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20 ], [ 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11 ] ]
A ripoff of this challenge. Go upvote it! Objective Given a rational number amongst \$[0,1]\$, apply the Cantor function to it and output the rational number that's produced. The Cantor function The Cantor function is continuous everywhere and constant almost everywhere, but has an average slope of 1: The Cantor funct...
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In this question at Code Review they tried to find the fastest way to return the unique element in an array where all the elements are the same except one. But what is the shortest code that accomplish the same thing? Goal Find the unique element in an array and return it. Rules The input array will contain only integ...
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Summary Videos which are sped up every time a particular word is said exist for everything from the Bee Movie to the classic Rick Roll. The goal for this challenge is to figure out how much you'd have to slow down the sped-up video in order to match the duration of the original video. For example, the original Bee Movi...
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