Build a Dynamic Programming algorithm in Python for the following problem. Given two sequences of vowels, find...

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Programming

Build a Dynamic Programming algorithm in Python for thefollowing problem.

Given two sequences of vowels, find the length of longestsubsequence present in both of them.

NOTE: A subsequence is a sequence that appears in the sameorder, but not necessarily contiguous. For example, “aei”, “aeo”,“eio”, “aiu”, ... are subsequences of “aeiou”.

Sample Input 1:

aeiou aiu

Sample Output 1:

3

Sample Input 2:

aeaiueoiuaeeoeooaauoi aeuioauuuoaeieeaueuiouaiieuiuuuaoueueauaeiauuo

Sample Output 2:

16

Sample Input 3:

iioioieiaiauaoeoiioiiue iuuueauiaieooaoaaouaaaae

Sample Output 3:

10

Sample Input 4:

iauuieeuuiieiuaeaioaieiaeeuouueaeiuiuuaiioaeuoueuiue oeeiauiiioaieoaouuuiueouauueeiauuiiuueeo

Sample Output 4:

26

Write a program, test using stdin → stdout

Answer & Explanation Solved by verified expert
3.8 Ratings (536 Votes)
def longestsubsequencefirst second len1 len2 if current longest is not computedtill nowif tablelen1len2 None computecurrent longestif len1 0 orlen2 0longest 0    See Answer
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