Linear Search

Problem: Given an array arr[] of n elements, write a function to search a given element x in arr[].

A simple approach is to do linear search, i.e

  • Start from the leftmost element of arr[] and one by one compare x with each element of arr[]
  • If x matches with an element, return the index.
  • If x doesn’t match with any of elements, return -1.


Example:
linear-search1

C/C++

// Linearly search x in arr[].  If x is present then return its 
// location,  otherwise return -1
int search(int arr[], int n, int x)
{
    int i;
    for (i=0; i<n; i++)
        if (arr[i] == x)
         return i;
    return -1;
}

Python

# Searching an element in a list/array in python
# can be simply done using 'in' operator
# Example:
# if x in arr:
#   print arr.index(x)

# If you want to implement Linear Search in python

# Linearly search x in arr[]
# If x is present then return its location
# else return -1

def search(arr, x):

    for i in range(len(arr)):

        if arr[i] == x:
            return i

    return -1

Java

class LinearSearch
{
    // This function returns index of element x in arr[]
    static int search(int arr[], int n, int x)
    {
        for (int i = 0; i < n; i++)
        {
            // Return the index of the element if the element
            // is found
            if (arr[i] == x)
                return i;
        }
 
        // return -1 if the element is not found
        return -1;
    }
} 


The time complexity of above algorithm is O(n).

Linear search is rarely used practically because other search algorithms such as the binary search algorithm and hash tables allow significantly faster searching comparison to Linear search.

Also See – Binary Search

Image Source : http://www.nyckidd.com/bob/Linear%20Search%20and%20Binary%20Search_WorkingCopy.pdf

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