Deletion distance between two strings python
On the contrary, you've done a very good job of coming up with a solution. There are ways to improve it though. As you note, this is just the Longest Common Subsequence problem in a thin disguise. The "deletion distance" between two strings is just the total length of the strings minus twice the length of the LCS. That is, the LCS
of Therefore, all you need to do to solve the problem is to get the length of the LCS, so let's solve that problem. Your solution is pretty good but the primary problem is that it takes O(mn) time and memory if the strings are of length m and n. You can improve this. The first thing to notice is that if the strings have a common prefix or suffix
then you can automatically eliminate it. That is, the deletion distance for The next thing to notice is: you build the entire
You still do O(mn) operations, and you still allocate in total the same amount of memory, but you only have a small amount of it in memory at the same time. If the strings are large, that's a considerable savings. 25 Apr 2018 OverviewThe deletion distance of two strings is the minimum number of characters you need to delete in the two strings in order to get the same string. For instance, the deletion distance between
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SolutionLet
This is true because if one string is the empty string, we have no choice but to delete all letters in the other string.
This holds since we need to delete at least one of the letters
This holds since we don’t need to delete the last letters in order to get the same string, we simply use the same deletions we would to the Solution 1After finding the relations above for Pseudocode:
Time Complexity: we have a nested loop that executes Space Complexity: we save every value of Solution 2The solution above takes Pseudocode:
Time Complexity: the time complexity stays the same, i.e. Space Complexity: Example CodePHP code
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https://stackoverflow.com/questions/44490091/deletion-distance-between-2-strings https://stackoverflow.com/questions/41275345/deletion-distance-between-words How does Python calculate edit distance?The edit distance between two strings refers to the minimum number of character insertions, deletions, and substitutions required to change one string to the other. For example, the edit distance between "kitten" and "sitting" is three: substitute the "k" for "s", substitute the "e" for "i", and append a "g".
What is the minimum edit distance between two strings?Minimum Edit distance between two strings str1 and str2 is defined as the minimum number of insert/delete/substitute operations required to transform str1 into str2. For example if str1 = "ab", str2 = "abc" then making an insert operation of character 'c' on str1 transforms str1 into str2.
How do you find the distance between two letters in python?Distance between two letters is difference between their positions in the alphabet. for example: dist(c, e) = dist(e, c) = 2. dist(a, z) = dist(z, a) = 25.
How do you find the distance between two strings?There are several ways to measure the distance between two strings. The simplest one is to use hamming distance to find the number of mismatch between two strings. However, the two strings must have the same length.
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