cpp-flashcards/org/study_deck_02/dsa/2-d-dynamic-programming/0072-edit-distance.org

#+PROPERTY: STUDY_DECK_02
* TODO 0072. Edit Distance :medium:
:PROPERTIES:
:NEETCODE: [[file:../../roadmap.org::*0072. Edit Distance][0072. Edit Distance]]
:END:

Given two strings ~word1~ and ~word2~, return /the minimum number of operations required to convert ~word1~ to ~word2~/.

You have the following three operations permitted on a word:

 - Insert a character

 - Delete a character

 - Replace a character

*Example 1:*


#+begin_src
Input: word1 = "horse", word2 = "ros"
Output: 3
Explanation: 
horse -> rorse (replace 'h' with 'r')
rorse -> rose (remove 'r')
rose -> ros (remove 'e')
#+end_src


*Example 2:*


#+begin_src
Input: word1 = "intention", word2 = "execution"
Output: 5
Explanation: 
intention -> inention (remove 't')
inention -> enention (replace 'i' with 'e')
enention -> exention (replace 'n' with 'x')
exention -> exection (replace 'n' with 'c')
exection -> execution (insert 'u')
#+end_src


*Constraints:*

 - ~0 <= word1.length, word2.length <= 500~

 - ~word1~ and ~word2~ consist of lowercase English letters.

** TODO Approach
Write your approach here.

** TODO Python
#+begin_src python
class Solution:
    def minDistance(self, word1: str, word2: str) -> int:
#+end_src

** TODO C++
#+begin_src cpp
class Solution {
public:
    int minDistance(string word1, string word2) {
        
    }
};
#+end_src