Description

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

Input format / Clarification:

• Line 1: word1
• Line 2: word2

Examples

Input:
horse
ros
Output:
3

Input:
intention
execution
Output:
5

Input:
abc
abc
Output:
0

Note:

Your program must print a single integer representing the minimum edit distance so it can be compared with the expected output.