mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
19 lines
611 B
Python
19 lines
611 B
Python
|
"""
|
||
|
|
LCS Problem Statement: Given two sequences, find the length of longest subsequence present in both of them.
|
||
|
|
A subsequence is a sequence that appears in the same relative order, but not necessarily continious.
|
||
|
|
Example:"abc", "abg" are subsequences of "abcdefgh".
|
||
|
|
"""
|
||
|
|
def LCS(s1, s2):
|
||
|
|
m = len(s1)
|
||
|
|
n = len(s2)
|
||
|
|
|
||
|
|
arr = [[0 for i in range(n+1)]for j in range(m+1)]
|
||
|
|
|
||
|
|
for i in range(1,m+1):
|
||
|
|
for j in range(1,n+1):
|
||
|
|
if s1[i-1] == s2[j-1]:
|
||
|
|
arr[i][j] = arr[i-1][j-1]+1
|
||
|
|
else:
|
||
|
|
arr[i][j] = max(arr[i-1][j], arr[i][j-1])
|
||
|
|
return arr[m][n]
|