Leetcode 72. Edit Distance
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Question
Given two words word1 and word2, find the minimum number of steps required to convert word1 to word2. (each operation is counted as 1 step.)
You have the following 3 operations permitted on a word:
a) Insert a character
b) Delete a character
c) Replace a character
Code
/*
动态规划算法解决
*/
public int minDistance(String word1, String word2)
if (word1.length() == 0 || word2.length() == 0)
return word1.length() == 0 ? word2.length() : word1.length();
int[][] weights = new int[word1.length() + 1][word2.length() + 1];
for (int j = 0; j <= word2.length(); j++)
weights[0][j] = j;
for (int i = 0; i <= word1.length(); i++)
weights[i][0] = i;
for (int i = 1; i <= word1.length(); i++)
for (int j = 1; j <= word2.length(); j++)
if (word1.charAt(i - 1) == word2.charAt(j - 1))
weights[i][j] = weights[i - 1][j - 1];
else
weights[i][j] = Math.min(weights[i - 1][j - 1]
, Math.min(weights[i - 1][j], weights[i][j - 1])) + 1;
return weights[word1.length()][word2.length()];
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