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Title:Nonogrami : magistrsko delo
Authors:ID Ferk, Aljaž (Author)
ID Taranenko, Andrej (Mentor) More about this mentor... New window
Files:.pdf MAG_Ferk_Aljaz_2022.pdf (1,30 MB)
MD5: A6756E71104EE2DBCA33B4B877090039
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Nonogram je uganka, s katero lahko ob njenem reševanju narišemo sliko. Naloga je namenjena algoritmičnemu reševanju črno-belih nonogramov. S temi algoritmi lahko preverjamo pravilnost rešitve nonograma, lahko jih pa tudi uporabljamo kot pomoč pri človeškem reševanju. Najprej je predstavljen algoritem, ki lahko reši le nekatere nonograme, kasneje pa je ta algoritem nadgrajen tako, da najde vse možne rešitve. Odgovori se tudi vprašanje, kako dober je prvoten algoritem ob večanju dimenzij naključnih nonogramov. Predstavi se tudi hiter način barvanja kotov nekaterih nonogramov. Na koncu je predstavljen še vpliv nekaterih komponent na čas reševanja nonograma.
Keywords:nonogram, Chernoffova meja
Place of publishing:Maribor
Place of performance:Maribor
Publisher:[A. Ferk]
Year of publishing:2022
Number of pages:55 str.
PID:20.500.12556/DKUM-82147 New window
UDC:51:793.7(043.2)
COBISS.SI-ID:127463427 New window
Publication date in DKUM:28.10.2022
Views:2101
Downloads:69
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:20.07.2022

Secondary language

Language:English
Title:Nonograms : na študijskem programu 2. stopnje Matematika
Abstract:A nonogram is a puzzle, with which we can draw a picture, while solving it. The thesis provides algorithmic solutions to black-and-white nonograms. With these algorithms we can check the correctness of the nonogram's solutions, and we can also use them as an aid for human solving. First, an algorithm is presented that can solve only some nonograms, and later on this algorithm is improved so it finds all possible solutions. The question of how good the first algorithm is when increasing the dimensions of random nonograms is also answered. A quick way to paint the corners of some nonograms is also presented. Lastly, the influence of some components on the time it takes to solve a nonogram puzzle is presented.
Keywords:nonogram, Chernoff bound


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