Print Longest Common Subsequence(LCS)
Problem Link: https://www.hackerrank.com/challenges/dynamic-programming-classics-the-longest-common-subsequence/problem?isFullScreen=true
def longestCommonSubsequence(a, b):
# Write your code here
m=len(a)
n=len(b)
dp=[[0 for i in range(n+1)] for j in range(m+1)]
for i in range(m+1):
for j in range(n+1):
if(i==0 or j==0):
dp[i][j]=0
else:
if(a[i-1]==b[j-1]):
dp[i][j]=1+dp[i-1][j-1]
else:
dp[i][j]=max(dp[i-1][j],dp[i][j-1])
i=m
j=n
s=""
while(i!=0 and j!=0):
if(a[i-1]==b[j-1]):
s=str(a[i-1])+s
i-=1
j-=1
else:
if(dp[i-1][j]>=dp[i][j-1]):
i-=1
else:
j-=1
return s
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