Edit Distance

Problem Statement: Given two strings

and , compute the edit distance between them. The edit distance is the minimum number of operations (insertions, deletions, and substitutions) needed to convert into .

Rules and Constraints:

• The edit operations allowed are insertion, deletion, and substitution.
• You can use each type of operation any number of times.
• The input strings
  word1
  and
  word2
  consist of lowercase English letters.
• The length of both strings is at most 300 characters.
• The time complexity of your solution should be O(n * m), where n and m are the lengths of
  word1
  and
  word2
  , respectively.
• The space complexity of your solution should be O(n * m), where n and m are the lengths of
  word1
  and
  word2
  , respectively.

Input and Output:

• Input: Two strings
  word1
  and
  word2
  .
• Output: The edit distance between
  word1
  and
  word2
  .

This problem involves finding the minimum edit distance between two strings, which is a fundamental task in algorithmic design and has numerous applications in computer science, such as spell checking, DNA sequencing, and more. Your goal is to develop a solution that can efficiently compute the edit distance between two given strings.

Example

Input: {"input_data":[1,2,3]} Output: [1,2,3]