Given three strings A, B and C. Write a function that checks whether C is an interleaving of A and B.

C is said to be interleaving A and B, if it contains all characters of A and B and order of all characters in individual strings is preserved. See previous post for examples.

**Solution:**

Pick each character of C one by one and match it with the first character in A. If it doesn’t match then match it with first character of B. If it doesn’t even match first character of B, then return false. If the character matches with first character of A, then repeat the above process from second character of C, second character of A and first character of B. If first character of C matches with the first character of B (and doesn’t match the first character of A), then repeat the above process from the second character of C, first character of A and second character of B. If all characters of C match either with a character of A or a character of B and length of C is sum of lengths of A and B, then C is an interleaving A and B.

Thanks to venkat for suggesting following C implementation.

## C/C++

// C/C++ program to check if given string is an interleaving // of the other two strings #include<stdio.h> // Returns true if C is an interleaving of A and B, // otherwise returns false bool isInterleaved (char *A, char *B, char *C) { // Iterate through all characters of C. while (*C != 0) { // Match first character of C with first character // of A. If matches them move A to next if (*A == *C) A++; // Else Match first character of C with first // character of B. If matches them move B to next else if (*B == *C) B++; // If doesn't match with either A or B, then return // false else return false; // Move C to next for next iteration C++; } // If A or B still have some characters, then length of // C is smaller than sum of lengths of A and B, so // return false if (*A || *B) return false; return true; } // Driver program to test above functions int main() { char *A = "AB"; char *B = "CD"; char *C = "ACBG"; if (isInterleaved(A, B, C) == true) printf("%s is interleaved of %s and %s", C, A, B); else printf("%s is not interleaved of %s and %s", C, A, B); return 0; }

## Python

# Python program to check if given string is an interleaving of # the other two strings # Returns true if C is an interleaving of A and B, otherwise # returns false def isInterleaved(A, B, C): # Utility variables i = 0 j = 0 k = 0 # Iterate through all characters of C. while k != len(C)-1: # Match first character of C with first character of A, # If matches them move A to next if A[i] == C[k]: i+=1 # Else Match first character of C with first character # of B. If matches them move B to next elif B[j] == C[k]: j+=1 # If doesn't match with either A or B, then return false else: return 0 # Move C to next for next iteration k+=1 # If A or B still have some characters, then length of C is # smaller than sum of lengths of A and B, so return false if A[i-1] or B[j-1]: return 0 return 1 # Driver program to test the above function A = "AB" B = "CD" C = "ACBG" if isInterleaved(A, B, C) == 1: print C + " is interleaved of " + A + " and " + B else: print C + " is not interleaved of " + A + " and " + B # This code is contributed by Bhavya Jain

Output:

ACBG is not interleaved of AB and CD

Time Complexity: O(m+n) where m and n are the lengths of strings A and B respectively.

Note that the above approach doesn’t work if A and B have some characters in common. For example, if string A = “AAB”, string B = “AAC” and string C = “AACAAB”, then the above method will return false. We have discussed here an extended solution that handles common characters.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.