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Lineair zoekalgoritme

In dit artikel bespreken we het lineaire zoekalgoritme. Zoeken is het proces waarbij een bepaald element in de lijst wordt gevonden. Als het element aanwezig is in de lijst, wordt het proces succesvol genoemd en retourneert het proces de locatie van dat element; anders wordt de zoekopdracht mislukt genoemd.

Twee populaire zoekmethoden zijn lineair zoeken en binair zoeken. Hier bespreken we dus de populaire zoektechniek, namelijk het lineaire zoekalgoritme.

stapelen in Java

Lineair zoeken wordt ook wel as genoemd sequentieel zoekalgoritme. Het is het eenvoudigste zoekalgoritme. Bij lineair zoeken doorkruisen we eenvoudigweg de lijst volledig en matchen we elk element van de lijst met het item waarvan de locatie moet worden gevonden. Als de match wordt gevonden, wordt de locatie van het item geretourneerd; anders retourneert het algoritme NULL.

Het wordt veel gebruikt om een ​​element uit de ongeordende lijst te zoeken, d.w.z. de lijst waarin items niet zijn gesorteerd. De worst-case tijdscomplexiteit van lineair zoeken is dat wel Op).

De stappen die worden gebruikt bij de implementatie van Lineair zoeken worden als volgt weergegeven:

  • Eerst moeten we de array-elementen doorlopen met behulp van a voor lus.
  • In elke iteratie van for loop, vergelijk het zoekelement met het huidige array-element, en -
    • Als het element overeenkomt, retourneert u de index van het overeenkomstige array-element.
    • Als het element niet overeenkomt, ga dan naar het volgende element.
  • Als er geen overeenkomst is of als het zoekelement niet aanwezig is in de opgegeven array, retourneert u -1.

Laten we nu eens kijken naar het algoritme van lineair zoeken.

Algoritme

 Linear_Search(a, n, val) // &apos;a&apos; is the given array, &apos;n&apos; is the size of given array, &apos;val&apos; is the value to search Step 1: set pos = -1 Step 2: set i = 1 Step 3: repeat step 4 while i <= 1 6 n step 4: if a[i]="=" val set pos="i" print go to [end of if] i="i" + loop] 5: 'value is not present in the array ' 6: exit < pre> <h2>Working of Linear search</h2> <p>Now, let&apos;s see the working of the linear search Algorithm.</p> <p>To understand the working of linear search algorithm, let&apos;s take an unsorted array. It will be easy to understand the working of linear search with an example.</p> <p>Let the elements of array are -</p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm.webp" alt="Linear Search Algorithm"> <p>Let the element to be searched is <strong>K = 41</strong> </p> <p>Now, start from the first element and compare <strong>K</strong> with each element of the array.</p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-2.webp" alt="Linear Search Algorithm"> <p>The value of <strong>K,</strong> i.e., <strong>41,</strong> is not matched with the first element of the array. So, move to the next element. And follow the same process until the respective element is found.</p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-3.webp" alt="Linear Search Algorithm"> <p>Now, the element to be searched is found. So algorithm will return the index of the element matched.</p> <h2>Linear Search complexity</h2> <p>Now, let&apos;s see the time complexity of linear search in the best case, average case, and worst case. We will also see the space complexity of linear search.</p> <h3>1. Time Complexity</h3> <table class="table"> <tr> <th>Case</th> <th>Time Complexity</th> </tr> <tr> <td> <strong>Best Case</strong> </td> <td>O(1)</td> </tr> <tr> <td> <strong>Average Case</strong> </td> <td>O(n)</td> </tr> <tr> <td> <strong>Worst Case</strong> </td> <td>O(n)</td> </tr> </table> <ul> <tr><td>Best Case Complexity -</td> In Linear search, best case occurs when the element we are finding is at the first position of the array. The best-case time complexity of linear search is <strong>O(1).</strong>  </tr><tr><td>Average Case Complexity -</td> The average case time complexity of linear search is <strong>O(n).</strong>  </tr><tr><td>Worst Case Complexity -</td> In Linear search, the worst case occurs when the element we are looking is present at the end of the array. The worst-case in linear search could be when the target element is not present in the given array, and we have to traverse the entire array. The worst-case time complexity of linear search is <strong>O(n).</strong>  </tr></ul> <p>The time complexity of linear search is <strong>O(n)</strong> because every element in the array is compared only once.</p> <h3>2. Space Complexity</h3> <table class="table"> <tr> <td> <strong>Space Complexity</strong> </td> <td>O(1)</td> </tr> </table> <ul> <li>The space complexity of linear search is O(1).</li> </ul> <h2>Implementation of Linear Search</h2> <p>Now, let&apos;s see the programs of linear search in different programming languages.</p> <p> <strong>Program:</strong> Write a program to implement linear search in C language.</p> <pre> #include int linearSearch(int a[], int n, int val) { // Going through array sequencially for (int i = 0; i <n; i++) { if (a[i]="=" val) return i+1; } -1; int main() a[]="{70," 40, 30, 11, 57, 41, 25, 14, 52}; given array val="41;" value to be searched n="sizeof(a)" sizeof(a[0]); size of res="linearSearch(a," n, val); store result printf('the elements the are - '); for (int i="0;" < n; printf('%d ', a[i]); printf('
element is %d', (res="=" -1) not present in array'); else at %d position array', res); 0; pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-4.webp" alt="Linear Search Algorithm"> <p> <strong>Program:</strong> Write a program to implement linear search in C++.</p> <pre> #include using namespace std; int linearSearch(int a[], int n, int val) { // Going through array linearly for (int i = 0; i <n; i++) { if (a[i]="=" val) return i+1; } -1; int main() a[]="{69," 39, 29, 10, 56, 40, 24, 13, 51}; given array val="56;" value to be searched n="sizeof(a)" sizeof(a[0]); size of res="linearSearch(a," n, val); store result cout<<'the elements the are - '; for (int i="0;" < n; cout< <a[i]<<' cout<<'
element is '<<val; (res="=" -1) not present in array'; else at '<<res<<' position 0; pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-5.webp" alt="Linear Search Algorithm"> <p> <strong>Program:</strong> Write a program to implement linear search in C#.</p> <pre> using System; class LinearSearch { static int linearSearch(int[] a, int n, int val) { // Going through array sequencially for (int i = 0; i <n; i++) { if (a[i]="=" val) return i+1; } -1; static void main() int[] a="{56," 30, 20, 41, 67, 31, 22, 14, 52}; given array int val="14;" value to be searched n="a.Length;" size of res="linearSearch(a," n, val); store result console.write('the elements the are - '); for (int i="0;" < n; console.write(' ' + a[i]); console.writeline(); console.writeline('element is (res="=" -1) not present in array'); else console.write('element at +' position pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-6.webp" alt="Linear Search Algorithm"> <p> <strong>Program:</strong> Write a program to implement linear search in Java.</p> <pre> class LinearSearch { static int linearSearch(int a[], int n, int val) { // Going through array sequencially for (int i = 0; i <n; i++) { if (a[i]="=" val) return i+1; } -1; public static void main(string args[]) int a[]="{55," 29, 10, 40, 57, 41, 20, 24, 45}; given array val="10;" value to be searched n="a.length;" size of res="linearSearch(a," n, val); store result system.out.println(); system.out.print('the elements the are - '); for (int i="0;" < n; system.out.print(' ' + a[i]); system.out.println('element is (res="=" -1) not present in array'); else at +' position pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-7.webp" alt="Linear Search Algorithm"> <p> <strong>Program:</strong> Write a program to implement linear search in JavaScript.</p> <pre> var a = [54, 26, 9, 80, 47, 71, 10, 24, 45]; // given array var val = 71; // value to be searched var n = a.length; // size of array function linearSearch(a, n, val) { // Going through array sequencially for (var i = 0; i <n; i++) { if (a[i]="=" val) return i+1; } -1 var res="linearSearch(a," n, val); store result document.write('the elements of the array are: '); for (i="0;" i < n; document.write(' ' + a[i]); <br>&apos; + &apos;Element to be searched is: &apos; + val); if (res == -1) document.write(&apos; <br>&apos; + &apos;Element is not present in the array&apos;); else document.write(&apos; <br>&apos; + &apos;Element is present at &apos; + res +&apos; position of array&apos;); </n;></pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-8.webp" alt="Linear Search Algorithm"> <p> <strong>Program:</strong> Write a program to implement linear search in PHP.</p> <pre> <?php $a = array(45, 24, 8, 80, 62, 71, 10, 23, 43); // given array $val = 62; // value to be searched $n = sizeof($a); //size of array function linearSearch($a, $n, $val) { // Going through array sequencially for ($i = 0; $i < $n; $i++) { if ($a[$i] == $val) return $i+1; } return -1; } $res = linearSearch($a, $n, $val); // Store result echo 'The elements of the array are: '; for ($i = 0; $i < $n; $i++) echo ' ' , $a[$i]; echo ' <br>&apos; , &apos;Element to be searched is: &apos; , $val; if ($res == -1) echo &apos; <br>&apos; , &apos;Element is not present in the array&apos;; else echo &apos; <br>&apos; , &apos;Element is present at &apos; , $res , &apos; position of array&apos;; ?&gt; </pre> <p> <strong>Output</strong> </p> <img src="//techcodeview.com/img/ds-tutorial/52/linear-search-algorithm-9.webp" alt="Linear Search Algorithm"> <p>So, that&apos;s all about the article. Hope the article will be helpful and informative to you.</p> <hr></n;></pre></n;></pre></n;></pre></n;></pre></=>

Uitvoer

Lineair zoekalgoritme

Programma: Schrijf een programma om lineair zoeken in PHP te implementeren.

 <?php $a = array(45, 24, 8, 80, 62, 71, 10, 23, 43); // given array $val = 62; // value to be searched $n = sizeof($a); //size of array function linearSearch($a, $n, $val) { // Going through array sequencially for ($i = 0; $i < $n; $i++) { if ($a[$i] == $val) return $i+1; } return -1; } $res = linearSearch($a, $n, $val); // Store result echo \\'The elements of the array are: \\'; for ($i = 0; $i < $n; $i++) echo \\' \\' , $a[$i]; echo \\' <br>&apos; , &apos;Element to be searched is: &apos; , $val; if ($res == -1) echo &apos; <br>&apos; , &apos;Element is not present in the array&apos;; else echo &apos; <br>&apos; , &apos;Element is present at &apos; , $res , &apos; position of array&apos;; ?&gt; 

Uitvoer

Lineair zoekalgoritme

Dus dat is alles over het artikel. Ik hoop dat het artikel nuttig en informatief voor u zal zijn.

toevoegen aan een array in Java