What is the best algorithm to find the minimum element in max heap?





.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ height:90px;width:728px;box-sizing:border-box;
}







-1















What is the best algorithm(in terms of time complexity) to find the minimum element in max heap?










share|improve this question




















  • 1





    Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

    – Brandon Haugen
    Nov 23 '18 at 20:36


















-1















What is the best algorithm(in terms of time complexity) to find the minimum element in max heap?










share|improve this question




















  • 1





    Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

    – Brandon Haugen
    Nov 23 '18 at 20:36














-1












-1








-1








What is the best algorithm(in terms of time complexity) to find the minimum element in max heap?










share|improve this question
















What is the best algorithm(in terms of time complexity) to find the minimum element in max heap?







arrays heap max-heap






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 24 '18 at 2:24







user9864052

















asked Nov 23 '18 at 19:25









user9864052user9864052

32




32








  • 1





    Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

    – Brandon Haugen
    Nov 23 '18 at 20:36














  • 1





    Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

    – Brandon Haugen
    Nov 23 '18 at 20:36








1




1





Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

– Brandon Haugen
Nov 23 '18 at 20:36





Hello and welcome to Stackoverflow! You may want to provide some parameters for use as part of evaluating "best" since it is very subjective and there are different ways one algorithm could be better than another. If time or amount of resources required are what you are interested in using to evaluate "best" please specify which you are interested in using.

– Brandon Haugen
Nov 23 '18 at 20:36












1 Answer
1






active

oldest

votes


















0














The minimum element in a max-heap is guaranteed to be in the last (n/2 + 1) items, where n is the number of items in the heap. So the best way to find it is to do a sequential scan of the last n/2 items. Consider, for example, a heap with 5 items:



    5
4 1
3 2


The smallest item will never have children, so it must be either on the bottom row of the heap, or on the next row up.






share|improve this answer
























    Your Answer






    StackExchange.ifUsing("editor", function () {
    StackExchange.using("externalEditor", function () {
    StackExchange.using("snippets", function () {
    StackExchange.snippets.init();
    });
    });
    }, "code-snippets");

    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "1"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53452030%2fwhat-is-the-best-algorithm-to-find-the-minimum-element-in-max-heap%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0














    The minimum element in a max-heap is guaranteed to be in the last (n/2 + 1) items, where n is the number of items in the heap. So the best way to find it is to do a sequential scan of the last n/2 items. Consider, for example, a heap with 5 items:



        5
    4 1
    3 2


    The smallest item will never have children, so it must be either on the bottom row of the heap, or on the next row up.






    share|improve this answer




























      0














      The minimum element in a max-heap is guaranteed to be in the last (n/2 + 1) items, where n is the number of items in the heap. So the best way to find it is to do a sequential scan of the last n/2 items. Consider, for example, a heap with 5 items:



          5
      4 1
      3 2


      The smallest item will never have children, so it must be either on the bottom row of the heap, or on the next row up.






      share|improve this answer


























        0












        0








        0







        The minimum element in a max-heap is guaranteed to be in the last (n/2 + 1) items, where n is the number of items in the heap. So the best way to find it is to do a sequential scan of the last n/2 items. Consider, for example, a heap with 5 items:



            5
        4 1
        3 2


        The smallest item will never have children, so it must be either on the bottom row of the heap, or on the next row up.






        share|improve this answer













        The minimum element in a max-heap is guaranteed to be in the last (n/2 + 1) items, where n is the number of items in the heap. So the best way to find it is to do a sequential scan of the last n/2 items. Consider, for example, a heap with 5 items:



            5
        4 1
        3 2


        The smallest item will never have children, so it must be either on the bottom row of the heap, or on the next row up.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 26 '18 at 0:03









        Jim MischelJim Mischel

        108k12134254




        108k12134254
































            draft saved

            draft discarded




















































            Thanks for contributing an answer to Stack Overflow!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53452030%2fwhat-is-the-best-algorithm-to-find-the-minimum-element-in-max-heap%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            If I really need a card on my start hand, how many mulligans make sense? [duplicate]

            Alcedinidae

            Can an atomic nucleus contain both particles and antiparticles? [duplicate]