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Puzzled: Find the magic set

Published: 01 August 2012 Publication History

Abstract

Welcome to three new puzzles. Each involves a collection of items, and your job is to find a subset of them that is characterized by a particular property. Since solving the puzzles is not easy, here are a couple of hints: For the first, think about averages; for the other two, try constructing your sets sequentially, bearing in mind that if two partial sums are equal, the terms between them must add up to zero.

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  1. Puzzled: Find the magic set

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    cover image Communications of the ACM
    Communications of the ACM  Volume 55, Issue 8
    August 2012
    105 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/2240236
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 August 2012
    Published in CACM Volume 55, Issue 8

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