Questions tagged [open-ended-function]
For challenges where an exact output is not required but some property must still be fulfilled.
79
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Incomparable partitions [closed]
A partition of a list \$A\$ is a way of splitting \$A\$ up into smaller parts, concretely it is list of lists that when concatenated gives back \$A\$.
For example ...
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votes
10
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Create a nibble shorthand
I recently stumbled across this image on wikimedia commons. It's a little bit of an information overload at first, but after examining it a bit it shows an interesting number system for writing ...
- 90.5k
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18
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Transform characters of your choice into "Hello, world!"
Write a program or function that takes a character as input and outputs a character. Also, choose a list of 13 distinct ASCII printable characters (32-126). When a character from this list is passed ...
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votes
4
answers
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Generate number set with conditions using n numbers
Generate \$T=\{T_1,...,T_x\}\$, the minimum number of \$k\$-length subsets of \$\{1,...,n\}\$ such that every \$v\$-length subset of \$\{1,...,n\}\$ is a subset of some set in \$T\$
Here, \$n > k &...
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24
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Generate an arbitrary half of a string
Given a string \$ x \$, we say another string \$ y \$ is half of it, if both of the following properties are true:
\$ y \$ is a (not necessarily continuous) subsequence of \$ x \$ - there exists a ...
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votes
0
answers
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Bijective Function (mapping integer to arbitrarily large integer tuple) [duplicate]
Find a bijective function which maps integers to arbitrarily large tuples of integers. Given the input \$n\$, output the tuple it matches to.
Edit: The empty tuple is included in the mapping.
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Enumerate all pure sets
In set theory, a set is an unordered group of unique elements. A pure set is either the empty set \$\{\}\$ or a set containing only pure sets, like \$\{\{\},\{\{\}\}\}\$.
Your challenge is to write a ...
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Give f and g that sometimes commute
Let \$Z\$ be either the integers, the positive integers, or the non-zero integers; pick whatever's convenient. Give two functions \$f\$ and \$g\$, each \$Z \to Z\$, such that:
\$f(g(a)) = g(f(a))\$, ...
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16
votes
15
answers
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Average-ignorant sets of integers
Recently a friend of mine posed the following:
What subset of the integers satisfies the condition if distinct a and b are in the subset, their average is not in the subset? I know the set of non-0 ...
- 513
14
votes
3
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Sniff out biased random permutations
The brilliant engineers at <enter company you love to hate> have struck again. This time they've "revolutionised" the generation of random permutations. "Every great invention is ...
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votes
9
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Is it irrational?
Your task is to make a program that decides if a real number between 0 and 1 is irrational or not. As stated, this is obviously impossible, so instead we will use the following definition:
...
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15
votes
3
answers
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What was my Wordle play?
Task
Given a winning Wordle play results (clues), the target ("secret") word and a list of words, output a possible sequence of words leading to such results.
The words in the list will be ...
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36
votes
48
answers
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Output a random unary string
Your task is simple: output the letter x a random number of times. Every possible length of xs must have a non-zero probability ...
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12
votes
8
answers
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views
All sequences as substrings
Make a program that outputs a sequence of integers so that every finite sequence of positive integers is a substring (continuous subsequence) of the output.
For example, the following sequence ...
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15
votes
4
answers
538
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Output a Steiner quadruple system
A Steiner quadruple system \$SQS(n)\$ is a collection of subsets (blocks) of size 4 of a set \$S\$ of size \$n\$ such that every subset of \$S\$ of size 3 is in exactly one block. It is easy to show ...
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3
votes
7
answers
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Don't output the file
This rar file, when decompressed, gives a 65024-byte exe file. Requiring you to output the contents of that file would be ...
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4
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Probability breaking sequences
If we have a finite list of elements we can determine the probability of any one element being drawn at random as the number of times it occurs divided by the total number of elements in the list.
For ...
- 90.5k
9
votes
8
answers
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Biggest katlani noun dictionary in 400 bytes
Katlani is a constructed language being designed in chat. In this challenge, your goal is to print the largest dictionary of katlani nouns possible in 400 bytes or less.
Task
In 400 bytes or less, ...
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13
votes
8
answers
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Compress and decompress
Your task is to make a bidirectional compressor. It takes a list of bytes as input and returns a list of bytes as output. It has the property than whenever it is iterated twice it returns the original ...
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votes
18
answers
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Egyptian fraction representations of 1
An Egyptian fraction is a representation of a rational number using the sum of distinct unit fractions (a unit fraction is of the form \$ \frac 1 x \$ where \$ x \$ is a positive integer).
For all[1] ...
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7
votes
1
answer
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Busy beaver in a coin
\$BB\$ is the busy beaver function, an uncomputable function.
Write a program which when given an integer \$n\$ as input, will output \$BB(n)\$, with at least \$\frac 2 3\$ probability. You can do ...
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votes
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Output every sublist ... eventually
You will be given as input an infinite stream of positive integers.
Your task is to write a program which outputs an infinite sequence of lists with two requirements:
All lists in the output are ...
- 90.5k
18
votes
8
answers
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Make every fixed list
We are to define the idea of a fixed list as follows:
A fixed list is a list of fixed lists.
This definition is recursive so it's useful to look at some examples.
The empty list ...
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20
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Generate a regular graph
Inspired by this Mathematica.SE post
Given two positive integers \$n, k\$ with \$n > k \ge 1\$, output a binary \$n\times n\$ matrix such that every row and column contains exactly \$k\$ 1s, and ...
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16
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15
answers
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Encode integers with some others
Input a non-empty array of positive (greater than 0) integers. Output another non-empty array of positive integers which encode the input array. Output array does not use any numbers used in the input ...
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25
votes
20
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Kolmogorov-simple numbers
If you visit Code Golf often, you may have heard of Kolmogorov complexity. It's usually defined as the amount of bytes required to express some string in a programming language.
Here the Kolmogorov-...
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28
votes
11
answers
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Infinite ordinals from a well-ordering
Your task is to write a short program that represents a large (infinite) ordinal, using a well-ordering of the set of positive integers. Your program will take two different positive integers and ...
- 6,775
15
votes
3
answers
253
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Bijection between \$ \mathbb N \$ and at-most-\$n\$-ary trees
Background
Related: a golflang theory I posted in TNB a while ago
At-most-\$n\$-ary trees are rooted trees where each internal node has between 1 and \$n\$ children (inclusive). Two trees are ...
- 66.2k
10
votes
0
answers
159
views
NP-complete reduction: (grid-)Hamiltonian circuit
Background
Hamiltonian circuit problem is a decision problem which asks whether a given graph has a Hamiltonian circuit, i.e. a cycle that visits every vertex exactly once. This problem is one of the ...
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27
votes
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Give me odd, even, square, cube, prime and composite 3-digit numbers
Given a string which is guaranteed to be either odd, even, square, ...
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4
answers
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Venn of \$n\$ statements
Given a positive integer \$n\$, output \$n\$ 2D bool images with the same width and height such that:
Each image should be 4-connected, i.e. for each two pixels that are true, you can start from one ...
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votes
8
answers
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Encode a Lenguage
The Len(language,encoding) family of languages is a variety of Lenguage derivatives. To encode a program into a Len language, you replace every character with its representation in a certain encoding, ...
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19
votes
1
answer
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Demonstrate some advanced abstract algebra
Consider a binary operator \$*\$ that operates on a set \$S\$. For simplicity's sake, we'll assume that \$*\$ is closed, meaning that its inputs and outputs are always members of \$S\$. This means ...
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10
votes
5
answers
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Rewrite strings without changing their order
Lexicographic Ordering
For this challenge we will be talking about the lexicographic ordering of strings. If you know how to put words in alphabetical order you already understand the basic idea of ...
- 90.5k
16
votes
11
answers
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Generate a mantis's head (symmetrical triangle)
Given guaranteed strictly positive integers \$w\$ and \$n\$, output
An equilateral triangle array with side length \$w\$, filled with two distinct, consistent values. I'll call these ...
- 1,450
25
votes
10
answers
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Floor of complex number
Background
Complex floor is a domain extension of the mathematical floor function for complex numbers. This is used in some APL languages to implement floor ⌊, ...
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17
votes
3
answers
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Compute the uncomputable ... sort of
Implement a function \$f\$ (as a function or complete program), such that
\$
\displaystyle\lim_{n\rightarrow \infty} f(n)
\$
converges to a number which is not a computable number.
Answers will be ...
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votes
67
answers
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Infinitely many ℕ
Background:
A sequence of infinite naturals is a sequence that contains every natural number infinitely many times.
To clarify, every number must be printed multiple times!
The Challenge:
Output a ...
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votes
14
answers
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Golf a bijection \$\mathbb{N}^n\to\mathbb{N}\$
Your task is to write a program which implements a bijection \$\mathbb{N}^n\to\mathbb{N}\$ for \$n \ge 1\$. Your program should take \$n\$ natural numbers as input, in any acceptable method (including ...
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41
votes
21
answers
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Three other numbers
Given three distinct numbers from \$1\$ to \$7\$, output three other distinct numbers from \$1\$ to \$7\$, that is having no numbers in common with the original numbers. Your code must produce a ...
- 139k
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11
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Shortest total non-primitive recursive function
Natural numbers ≡ \$\mathbb{N}≡\{0,1,2,...\}\$
The submission can be either a program or a function, both cases will henceforth be referred to as "function".
The task is to golf the shortest ...
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votes
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An unknowably odd function
This challenge initially appeared in this challenge as a an extra brain teaser. I am posting it with permission from the original author so that we can have a formal competition.
Your task here ...
- 90.5k
15
votes
7
answers
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As close to flat as possible
Write a program or function that fulfills the following
Scores less than 101 bytes under normal code-golf rules
Takes no input1 and always outputs a single integer.
Every integer is a possible output....
- 90.5k
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7
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Define the finite field GF(9)
\$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 \$...
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Surjection from one string to two strings
This is the inverse of negative seven's question.
Write a program or function which, given any single, possibly-empty string of printable ASCII (codes \$[32,126]\$) outputs or returns two strings of ...
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votes
28
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Injection from two strings to one string
Challenge
Write a program that applies an injective function which takes an ordered pair of strings as input and one string as output. In other words, each input must map to a unique output.
...
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25
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7
answers
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Walk Across a Keyboard
Given a word (or any sequence of letters) as input, you must interpolate between each letter such that each adjacent pair of letters in the result is also adjacent on a QWERTY keyboard, as if you ...
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votes
6
answers
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Golf a number bigger than Loader's number
As a follow up to Shortest terminating program whose output size exceeds Graham's number and Golf a number bigger than TREE(3), I present a new challenge.
Loader's number is a very large number, ...
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votes
7
answers
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Hilbert's binary Hotel
In this challenge you will be asked to implement any function (or full program) that fulfills two properties. Those properties are:
Your function must be an injective (reversible) function from the ...
- 90.5k
15
votes
2
answers
297
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Program an Uncircularness Score
Your task is to program a mathematical function \$s\$, that takes a nonempty finite set \$A\$ of points in the 2D plane, and outputs an uncircularity score \$s(A)\$ that satisfies following properties:...
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