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from time import time
from time import time


memo = {}

def LCS(X, Y):
def LCS(X, Y):
if (X, Y) in memo:
return memo[(X, Y)]
if len(X) == 0 or len(Y) == 0:
if len(X) == 0 or len(Y) == 0:
res = []
res = []
elif X[-1] == Y[-1]:
elif X[-1] == Y[-1]:
res = LCS(X[:-1], Y[:-1]) + [X[-1]]
res = LCS(X[:-1], Y[:-1]) + [X[-1]]
else:
else:
res = longest(LCS(X, Y[:-1]), LCS(X[:-1], Y))
res = longest(LCS(X, Y[:-1]), LCS(X[:-1], Y))
memo[(X, Y)] = res
return res
return res


def longest(X, Y):
def longest(X, Y):
if len(X) > len(Y):
return X if len(X) > len(Y) else Y
return X
else:
return Y


start = time()
start = time()
print("".join(LCS("arn. schwarzenegger", "ar. chuarcheneger")))
print("".join(LCS("arnold schwarzenegger", "anol chuarcheneger")))
print("Time elapsed: %.4fs" % (time()- start))
print("Time elapsed: %.4fs" % (time() - start))
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