Given two strings str1 and str2, find if str1 is a subsequence of str2. A subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements (source: wiki). Expected time complexity is linear.

Examples:

Input: str1 = “AXY”, str2 = “ADXCPY”
Output: True (str1 is a subsequence of str2)

Input: str1 = “AXY”, str2 = “YADXCP”
Output: False (str1 is not a subsequence of str2)

Input: str1 = “gksrek”, str2 = “geeksforgeeks”
Output: True (str1 is a subsequence of str2)

The idea is simple, we traverse both strings from one side to other side (say from rightmost character to leftmost). If we find a matching character, we move ahead in both strings. Otherwise we move ahead only in str2.

Following is Recursive Implementation

C Program 
// Recursive C++ program to check if a string is subsequence of another string
#include<iostream>
#include<cstring>
using namespace std;
 
// Returns true if str1[] is a subsequence of str2[]. m is
// length of str1 and n is length of str2
bool isSubSequence(char str1[], char str2[], int m, int n)
{
    // Base Cases
    if (m == 0) return true;
    if (n == 0) return false;
 
    // If last characters of two strings are matching
    if (str1[m-1] == str2[n-1])
        return isSubSequence(str1, str2, m-1, n-1);
 
    // If last characters are not matching
    return isSubSequence(str1, str2, m, n-1);
}
 
// Driver program to test methods of graph class
int main()
{
    char str1[] = "gksrek";
    char str2[] = "geeksforgeeks";
    int m = strlen(str1);
    int n = strlen(str2);
    isSubSequence(str1, str2, m, n)? cout << "Yes ":
                                     cout << "No";
    return 0;
}

Output:

Yes
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