cpp-flashcards/org/study_deck_02/dsa/2-d-dynamic-programming/1143-longest-common-subsequence.org

#+ANKI_DECK: study_deck_02
* TODO 1143. Longest Common Subsequence :medium:
:PROPERTIES:
:NEETCODE: [[file:../../roadmap.org::*1143. Longest Common Subsequence][1143. Longest Common Subsequence]]
:END:

Given two strings ~text1~ and ~text2~, return /the length of their longest *common subsequence*. /If there is no *common subsequence*, return ~0~.

A *subsequence* of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.

 - For example, ~"ace"~ is a subsequence of ~"abcde"~.

A *common subsequence* of two strings is a subsequence that is common to both strings.

*Example 1:*


#+begin_src
Input: text1 = "abcde", text2 = "ace" 
Output: 3  
Explanation: The longest common subsequence is "ace" and its length is 3.
#+end_src


*Example 2:*


#+begin_src
Input: text1 = "abc", text2 = "abc"
Output: 3
Explanation: The longest common subsequence is "abc" and its length is 3.
#+end_src


*Example 3:*


#+begin_src
Input: text1 = "abc", text2 = "def"
Output: 0
Explanation: There is no such common subsequence, so the result is 0.
#+end_src


*Constraints:*

 - ~1 <= text1.length, text2.length <= 1000~

 - ~text1~ and ~text2~ consist of only lowercase English characters.

** TODO Approach
Write your approach here.

** TODO Python
#+begin_src python
class Solution:
    def longestCommonSubsequence(self, text1: str, text2: str) -> int:
#+end_src

** TODO C++
#+begin_src cpp
class Solution {
public:
    int longestCommonSubsequence(string text1, string text2) {
        
    }
};
#+end_src