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File:Binary Search Depiction.svg

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    Original file (SVG file, nominally 470 × 200 pixels, file size: 6 KB)

    Captions

    Captions

    Representation of the process of binary search to find the position of an element in a sorted list.

    Summary

    [edit]
    Description
    English: This is an example of a binary search steps through time. Source code and output: 
    int[] numbersArray = {1,3,4,6,7,8,10,13,14,18,19,21,24,37,40,45,71};
public boolean binarySearchAlgorithm(int targetNumber, int[] numbers)
{
    int lowerLimit = 0;
    int upperLimit = numbers.length - 1;

    while (upperLimit >= lowerLimit)
    {
        int middleNumber = (lowerLimit + upperLimit)/2;

        if (numbers[middleNumber] == targetNumber)
        {
            return true;
        }
        if (numbers[middleNumber] < targetNumber)
        {
            lowerLimit = middleNumber + 1;
        }
        if (numbers[middleNumber] > targetNumber)
        {
            upperLimit = middleNumber - 1;
        }
    }
    return false;
}
System.out.println(binarySearchAlgorithm(7, numbersArray)); //prints "true"

    iteration 1

    1. low = 0
    2. high = 16
    3. middle = (0+16)/2 = 16/2 = 8
    4. 7 (target at index 4) < 14 (middle at index 8)
    5. high = middle - 1 = 7

    iteration 2

    1. low = 0
    2. high = 7
    3. middle = (0+7)/2 = 7/2 = 3 R 1
    4. 7 (target at index 4) > 6 (middle at index 3)
    5. low = middle + 1 = 4

    iteration 3

    1. low = 4
    2. high = 7
    3. middle = (4+7)/2 = 11/2 = 5 R 1
    4. 7 (target at index 4) < 8 (middle at index 5)
    5. high = middle - 1 = 4

    iteration 4

    1. low = 4
    2. high = 4
    3. middle = (4+4)/2 = 8/2 = 4
    4. 7 (target at index 4) == 7 (middle at index 4)
    Date
    Source Own work
    Author AlwaysAngry

    Licensing

    [edit]
    I, the copyright holder of this work, hereby publish it under the following license:
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
    You are free:
    • to share – to copy, distribute and transmit the work
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    Under the following conditions:
    • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
    • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

    File history

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    Date/TimeThumbnailDimensionsUserComment
    current15:33, 1 December 2016Thumbnail for version as of 15:33, 1 December 2016470 × 200 (6 KB)AlwaysAngry (talk | contribs)User created page with UploadWizard

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