Блог пользователя jayantjpr

Автор jayantjpr, 4 года назад, По-английски,

Hi friends,

I was solving a question on SPOJ (http://www.spoj.com/problems/EDIST) to calculate the Edit Distance between two strings (http://en.wikipedia.org/wiki/Levenshtein_distance).

My Claim is:

Given two strings A & B
 Edit Distance(A,B) = max(|A|,|B|) - |Longest common sub-sequence(A,B)|.
(where |A| means length of string A)

Is there something wrong with the above claim? If yes, could you help me find out a test case on which it fails?

I tried submitting the code (using the above claim), but got a wrong answer. I am already aware of the conventional DP solution as shown on the wikipedia page.

Thanks for you help!




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I always thought:

|A| + |B| = |SES| + |LCS| * 2

Where SES — shortest edit script and LCS is longest common subsequence.