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medium
DP

Edit Distance

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Edit Distance** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** 2D DP: insert/delete/replace operations **Edge Cases to Consider:** - (1) One empty string - (2) Both identical - (3) Completely different strings

Examples

Example 1
Input: "horse", "ros"
Output: 3
Explanation: Classic
Example 2
Input: "intention", "execution"
Output: 5
Example 3
Input: "", "a"
Output: 1
Explanation: Insert one

Constraints

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

Watch Out For Edge Cases

  • ▪One empty string
  • ▪Both identical
  • ▪Completely different strings
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