Minimum number of deletions and insertions to transform one string into another using C++.

Description

Given two strings str1 and str2 of size m and n respectively. The task is to delete and insert a minimum number of characters from/in str1 so as to transform it into str2.

Str1 = “tutorialspoint”
Str2 = “tutorials”
To transform str1 to str2 we have to delete five characters i.e.
“point” from str1.

Algorithm

1. Find longest common subsequence of str1 and str2. Let’s call it as “lcsSize”
2. Number of characters to be deleted = (length of str1 - lcsSize)
3. Number of characters to be inserted = (length of str2 - lcsSize)

Example

#include <iostream>
#include <algorithm>
using namespace std;
int lcs(string s1, string s2, int m, int n){
   if (m == 0 || n == 0) {
      return 0;
   }
   if (s1[m - 1] == s2[n - 1]) {
      return 1 + lcs(s1, s2, m - 1, n - 1);
   } else {
      return max(lcs(s1, s2, m, n - 1), lcs(s1, s2, m - 1, n));
   }
}
void minDeletionAndInsertion(string s1, string s2){
   int m = s1.size();
   int n = s2.size();
   int lcsSize = lcs(s1, s2, m, n);
   cout << "Min deletion = " << (m - lcsSize) << endl;
   cout << "Min insertion = " << (n - lcsSize) << endl;
}
int main(){
   minDeletionAndInsertion("tutorialspoint", "tutorials");
   return 0;
}

Output

When you compile and execute the above program. It generates the following output −

Min deletion = 5
Min insertion = 0

Narendra Kumar

Updated on 31-Oct-2019 06:33:35

• Related Questions & Answers
• Minimum number of deletions to make a string palindrome in C++.
• Program to find minimum insertions to balance a parentheses string using Python
• Find the minimum number of rectangles left after inserting one into another in C++
• Finding minimum deletions in string in JavaScript
• Check if it is possible to transform one string to another in Python
• Program to find minimum deletions to make string balanced in Python
• Program to find minimum number of operations required to make one number to another in Python
• Print all possible ways to convert one string into another string in C++
• Add one Python string to another
• How do I INSERT INTO from one MySQL table into another table and set the value of one column?
• Minimum insertions to make a Co-prime array in C++
• Find the minimum number of moves needed to move from one cell of matrix to another in Python
• String Transforms Into Another String in Python
• Program to check whether one string can be 1-to-1 mapped into another string in Python
• Java Program to Insert a string into another string