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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 m4: If i = data[ j ], // item = i5: then, Set l = j6: Set j = j + 1 // end step27: if l = 0, then:8: item(i) not found 9: else10: 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.

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8

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

 12 5 10 15 31 20 25 2 40 0 1 2 3 4 5 6 7 8