Make Puzzles Great Again

Nicolás Aristizabal, Carlos Pinzón, Camilo Rueda, Frank Valencia

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We present original solutions to four challenging mathematical puzzles. The first two are concerned with random processes. The first, here called The President’s Welfare Plan, can be reduced to computing, for arbitrary large values of n, the expected number of iterations of a program that increases a variable at random between 1 and n until exceeds n. The second one, called The Dining Researchers, can be reduced to determining the probability of reaching a given point after visiting all the others in a circular random walk. The other two problems, called Students vs Professor and Students vs Professor II, involve finding optimal winning group strategies in guessing games.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages442-459
Number of pages18
DOIs
StatePublished - 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11760 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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