Longest-common-subsequence-.../LCS.py

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2024-12-08 15:11:33 +00:00
def longest_common_subsequence(X, Y):
m, n = len(X), len(Y)
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
if X[i - 1] == Y[j - 1]:
dp[i][j] = dp[i - 1][j - 1] + 1
else:
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])
return dp[m][n]
# 测试
X = "ABCBDAB"
Y = "BDCAB"
print("LCS Length:", longest_common_subsequence(X, Y))