Questions tagged [kolmogorov-complexity]
Kolmogorov complexity, informally, is the amount of code it takes to describe or produce a constant object, such as a string or image. When posting a challenge in this category, please make sure it adds something new to existing challenges.
709 questions
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Fitch Proof of \$(p\Longrightarrow q)\iff\lnot p\lor q\$ with least amount of steps
In the smallest amount of steps, prove
$$(p\Longrightarrow q)\iff\lnot p\lor q$$
We base the proof system on this website. The related functionalities are:
Assumption. Assume that some statement is ...
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Bring back cup stacking
Do you remember cup stacking? Young competitors compete to see how quickly they can arrange 12 upside-down plastic cups into three consecutive arrangements of cup pyramids.
The number of each cups in ...
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Draw all 11 cube nets
There are 11 ways of flattening a cube onto a flat surface, like a piece of paper, which can then be folded back up into a cube. Each of these is called a cube net.
Your task is to write a program or ...
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Antiparallel 12-hour Clock Hands
Output (or print) each of the 11 times, one per line, in the POSIX %I:%M:%S format, at which the hour and minute hands of a 12-hour clock are antiparallel. Here <...
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9 Queens and 1 obstacle
Position 9 queens and 1 obstacle on an 8×8 chessboard so that no two queens threaten each other. Obstacles between two queens prevent them from threatening each other.
For example here is a solution (<...
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Do Not Find the Fox in all possible ways
Do Not Find the Fox is a non-game where you repeat the following up to 16 times:
Pick an empty square in a 4×4 grid
Draw a tile from a bag – there are 5 Fs, 6 Os and 5 Xs at first – and place it in ...
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Draw the Flag of Greenland
The flag of Greenland consists of two red sections and two white sections. I'll provide a diagram below, but also give a textual description. The background of the flag is a rectangle that is 18 units ...
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BTD6 Kinetic Chaos (9/26/24 Odyssey)
This week's odyssey in Bloons Tower Defense 6 has a neat gimmick, but it's slightly confusing at first. Each custom round is actually two consecutive regular rounds at once, but this means the round ...
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Five Hundred Cigarettes
This is a cigarette.
_
//
//
//
°
This is two (2) cigarettes.
__
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///
///
°°
This is three (3) cigarettes. The ...
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Waiting girl's face
In June 2023, at Xenium Party 2023, a 4KB intro created by Wacek, Luke, and Jammer for the Commodore 64 was presented, featuring the face of a waiting girl.
The task is to write the shortest possible ...
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Play the Final Fantasy Prelude
Play the initial section of the Final Fantasy Prelude. This is a 4-octave up-down arpeggio of the following chords:
Cadd2, Amadd2, Cadd2, Amadd2, Fadd2, Gadd2, G♯maj7, A♯maj7
Rules:
Actual sound must ...
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Miracle Miracle Octad Generator Generator
The Miracle Octad Generator (MOG) introduced by R. T. Curtis in 1976 is a central tool in the study of sporadic groups, error-correcting codes, Steiner systems, and sphere-packings.
The MOG is ...
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Is it an option for the ls utility specified in POSIX.1-2017?
The ls utility lists specified directory content. It is infamous for stupidly lots of options which is known for anti-pattern design of implementing software.(...
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Output the Steiner system S(5,8,24)
Output 759 "rows", each of which consists of 8 distinct integers in the range 0,1,...,23, with the property that every set of 5 integers in the range 0,1,...,23 is contained in exactly one ...
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Looping counter extended
The looping counter is a challenge that prints an infinite number of lines. The first line has one *, the next line has one more ...