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