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medium
DP

Longest Common Subsequence

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Longest Common Subsequence** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** 2D DP table, diagonal match **Edge Cases to Consider:** - (1) Empty string - (2) One string subset of other - (3) No common characters

Examples

Example 1
Input: "abcde", "ace"
Output: 3
Explanation: "ace"
Example 2
Input: "abc", "abc"
Output: 3
Explanation: Same string
Example 3
Input: "abc", "def"
Output: 0
Explanation: No common

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪Empty string
  • ▪One string subset of other
  • ▪No common characters
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