ADVEDIST - Advanced Edit Distance

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The edit distance of two strings S and T is the minimum number of edit operations that need to be done to transform S into T . The valid edit operations are:
• Insert a single character at any position.
• Modify an existing character.
• Remove an existing character.
For example, the edit distance of “pantera” and “aorta” is 5, because the following chain of
edits is valid (and there is no shorter chain):
“pantera” >>> “antera” >>> “aotera” >>> “aoera” >>> “aora” >>> “aorta”.

We define the advanced edit distance in a similar way, but adding the swap of two adjacent characters as an extra valid operation. With this setting, the advanced edit distance of “pantera” and “aorta” is 4:
“pantera” >>> “antera” >>> “antra” >>> “aotra” >>> “aorta”.


You need to write a program that calculates the advanced edit distance of two given words.

Input

The input contains several test cases. Each test case is described in a single line that contains
two non-empty words, each of them of at most 1000 lowercase letters, separated by a single
space. The last line of the input contains two asterisks separated by a single space and should
not be processed as a test case.

Output

For each test case output a single line with an integer representing the advanced edit distance
of the two input words.

Example

Input:

pantera aorta
zero zero
* *

Output:

4
0

hide comments
Somesh Maurya™: 2013-10-27 06:34:13

it is simple Damerau–Levenshtein distance algorithm..but then y it's not getting accepted :C

skrillex: 2013-07-05 14:14:27

my solution seems to be working well.... but gives me WA... plz provide me some tricky test cases

Pablo Ariel Heiber: 2010-10-09 18:14:41

Its irrelevant, note that the allowed transformations are closed by inversion.

Omar Abd-Elraheem: 2010-09-20 07:10:47

editing is allowed on both strings or only on the first string ?!


Added by:Pablo Ariel Heiber
Date:2010-08-13
Time limit:22.25s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS OBJC PERL6 VB.NET
Resource:FCEyN UBA ICPC Selection 2007