Check whether an Array is Subarray of another Array

Given two arrays A[] and B[] consisting of n and m integers. The task is to check whether the array B[] is a subarray of the array A[] or not.

Examples:

Input : A[] = {2, 3, 0, 5, 1, 1, 2}, B[] = {3, 0, 5, 1}
Output : Yes



Input : A[] = {1, 2, 3, 4, 5}, B[] = {2, 5, 6}
Output : No

Source : Visa Interview Experience

Simple Approach: A simple approach is to run two nested loops and generate all subarrays of the array A[] and use one more loop to check if any of the subarray of A[] is equal to the array B[].

Efficient Approach : An efficient approach is to use two pointers to traverse both the array simultaneously. Keep the pointer of array B[] still and if any element of A[] matches with the first element of B[] then increase the pointer of both the array else increase the pointer of A and reset the pointer of B to 0. If all the elements of B are matched then print YES otherwise print NO.

Below is the implementation of the above approach:

C++

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// C++ program to check if an array is
// subarray of another array
  
#include <bits/stdc++.h>
using namespace std;
  
// Function to check if an array is
// subarray of another array
bool isSubArray(int A[], int B[], int n, int m)
{
    // Two pointers to traverse the arrays
    int i = 0, j = 0;
  
    // Traverse both arrays simultaneously
    while (i < n && j < m) {
  
        // If element matches
        // increment both pointers
        if (A[i] == B[j]) {
  
            i++;
            j++;
  
            // If array B is completely
            // traversed
            if (j == m)
                return true;
        }
        // If not,
        // increment i and reset j
        else {
            i++;
            j = 0;
        }
    }
  
    return false;
}
  
// Driver Code
int main()
{
    int n = 7, m = 4;
  
    int A[] = { 2, 3, 0, 5, 1, 1, 2 };
    int B[] = { 3, 0, 5, 1 };
  
    if (isSubArray(A, B, n, m))
        cout << "YES\n";
    else
        cout << "NO\n";
  
    return 0;
}

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Java

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// Java program to check if an array is
// subarray of another array
  
import java.io.*;
  
class GFG {
  
    // Function to check if an array is
    // subarray of another array
    static boolean isSubArray(int A[], int B[], int n, int m)
    {
        // Two pointers to traverse the arrays
        int i = 0, j = 0;
  
        // Traverse both arrays simultaneously
        while (i < n && j < m) {
  
            // If element matches
            // increment both pointers
            if (A[i] == B[j]) {
                i++;
                j++;
  
                // If array B is completely
                // traversed
                if (j == m)
                    return true;
            }
            // If not,
            // increment i and reset j
            else {
                i++;
                j = 0;
            }
        }
  
        return false;
    }
  
    // Driver Code
  
    public static void main(String[] args)
    {
        int n = 7;
        int m = 4;
  
        int A[] = { 2, 3, 0, 5, 1, 1, 2 };
        int B[] = { 3, 0, 5, 1 };
  
        if (isSubArray(A, B, n, m))
            System.out.println("YES\n");
        else
            System.out.println("NO\n");
    }
}
// This code is contributed by shs

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Python3

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# Python 3 program to check if an array 
# is subarray of another array
  
# Function to check if an array is
# subarray of another array
def isSubArray(A, B, n, m):
      
    # Two pointers to traverse the arrays
    i = 0
    j = 0
  
    # Traverse both arrays simultaneously
    while (i < n and j < m):
          
        # If element matches increment 
        # both pointers
        if (A[i] == B[j]):
            i += 1
            j += 1
  
            # If array B is completely
            # traversed
            if (j == m):
                return True
      
        # If not, increment i and reset j
        else:
            i += 1
            j = 0
  
    return False
  
# Driver Code
if __name__ == '__main__':
    n = 7
    m = 4
  
    A = [2, 3, 0, 5, 1, 1, 2]
    B = [3, 0, 5, 1]
  
    if (isSubArray(A, B, n, m)):
        print("YES")
    else:
        print("NO")
  
# This code is contributed by
# Sanjit_Prasad

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C#

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// C# program to check if an array is
// subarray of another array
  
using System;
  
class GFG {
  
    // Function to check if an array is
    // subarray of another array
    static bool isSubArray(int[] A, int[] B, int n, int m)
    {
        // Two pointers to traverse the arrays
        int i = 0, j = 0;
  
        // Traverse both arrays simultaneously
        while (i < n && j < m) {
  
            // If element matches
            // increment both pointers
            if (A[i] == B[j]) {
                i++;
                j++;
  
                // If array B is completely
                // traversed
                if (j == m)
                    return true;
            }
            // If not,
            // increment i and reset j
            else {
                i++;
                j = 0;
            }
        }
  
        return false;
    }
  
    // Driver Code
    static void Main()
    {
        int n = 7;
        int m = 4;
  
        int[] A = { 2, 3, 0, 5, 1, 1, 2 };
        int[] B = { 3, 0, 5, 1 };
  
        if (isSubArray(A, B, n, m))
            Console.WriteLine("YES");
        else
            Console.WriteLine("NO");
    }
    // This code is contributed by Ryuga
}

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PHP

Output:

YES

Time Complexity: O(N)
Auxiliary Space: O(1)



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