In this we are going to see a basic program to find LCS in 2D Array in Python Programming Language.
def lcs(X, Y, m, n):
L = [[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:
L[i][j] = 0
elif X[i - 1] == Y[j - 1]:
L[i][j] = L[i - 1][j - 1] + 1
else:
L[i][j] = max(L[i - 1][j], L[i][j - 1])
lcs = ""
i = m
j = n
while i > 0 and j > 0:
if X[i - 1] == Y[j - 1]:
lcs += X[i - 1]
i -= 1
j -= 1
elif L[i - 1][j] > L[i][j - 1]:
i -= 1
else:
j -= 1
lcs = lcs[::-1]
print("LCS of " + X + " and " + Y + " is " + lcs)
X = "AGGTAB"
Y = "GXTXAYB"
m = len(X)
n = len(Y)
lcs(X, Y, m, n)
#ENJOY CODING
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