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This commit is contained in:
Maxim Smolskiy
2024-04-19 22:30:22 +03:00
committed by GitHub
parent 0a9a860eb1
commit a42eb35702
14 changed files with 102 additions and 92 deletions
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10
dynamic_programming/longest_common_subsequence.py
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@ -38,30 +38,30 @@ def longest_common_subsequence(x: str, y: str):
n = len(y)
# declaring the array for storing the dp values
l = [[0] * (n + 1) for _ in range(m + 1)]
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
match = 1 if x[i - 1] == y[j - 1] else 0
l[i][j] = max(l[i - 1][j], l[i][j - 1], l[i - 1][j - 1] + match)
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1] + match)
seq = ""
i, j = m, n
while i > 0 and j > 0:
match = 1 if x[i - 1] == y[j - 1] else 0
if l[i][j] == l[i - 1][j - 1] + match:
if dp[i][j] == dp[i - 1][j - 1] + match:
if match == 1:
seq = x[i - 1] + seq
i -= 1
j -= 1
elif l[i][j] == l[i - 1][j]:
elif dp[i][j] == dp[i - 1][j]:
i -= 1
else:
j -= 1
return l[m][n], seq
return dp[m][n], seq
if __name__ == "__main__":