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Linear Search Algorithm Assignment Help


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What is Linear search algorithm?


1) It is a simple search algorithm that search a target value in an array or list.


1: [ Initialize]  Set j := 1, l =0 //here l= location 

2: Repeat Step 3 and 4 

3: while l = 0 and j <= m // j greater equal to m

4: If i = data[ j ], // item = i

5: then, Set l = j

6: Set j = j + 1 // end step2

7: if l = 0, then:

8: item(i) not found 

9: else

10: location(l) of item 

11: exit


The algorithm are translates by Java method:


Public static int linearSearch( Object[] array, Object key)

{

for (int j = 0; j < array.length; j++)

if (array[ j ].equals( key ))

return j;

return -1;

}


Example of Linear search algorithm:


Question: the array size of the element is 9. Find the search 20.

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Solution: The given element of the arry size is 9.

Step1:  number to search == arr[ 0 ] , we found arr[0]= 12, then 20 == 12? 

So we got the 20 not equal to 12, so check next element

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Step2:  number to search == arr[ 1 ] , we found arr[ 1 ]= 5, then 20 == 5? 

So we got the 20 not equal to 5, so check next element

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Step3:  number to search == arr[ 2 ] , we found arr[ 2 ]= 10, then 20 == 10? 

So we got the 20 not equal to 10, so check next element

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Step4:  number to search == arr[ 3 ] , we found arr[ 3 ]= 15, then 20 == 15? 

So we got the 20 not equal to 15, so check next element

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Step5:  number to search == arr[ 4 ] , we found arr[ 4 ]= 15, then 20 == 31? 

So we got the 20 not equal to 31, so check next element

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Step6:  number to search == arr[ 5 ] , we found arr[ 5 ] = 20, yes return true 

So we got the 20 equal to 20, so it is true

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