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finished solution for problem66
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problem66/Solution.py

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class Solution:
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def minDistance(self, word1: str, word2: str) -> int:
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cache = [[float('inf')] * (len(word2)+1) for _ in range(len(word1) +1)]
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for i in range(len(cache)):
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cache[i][len(word2)] = len(word1) - i
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for j in range(len(cache[0])):
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cache[len(word1)][j] = len(word2) - j
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for i in range(len(word1) -1, -1, -1):
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for j in range(len(word2) -1, -1, -1):
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if word1[i] == word2[j]:
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cache[i][j] = cache[i+1][j+1]
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else:
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cache[i][j] = 1 + min(cache[i][j+1], cache[i+1][j], cache[i+1][j+1])
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return cache[0][0]

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