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LeetCode Edit Distance

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

 

 1 public class Solution { 2     public int minDistance(String word1, String word2) { 3         if (word1.equals(word2)) { 4             return 0; 5         } 6         if (word1.length()==0) { 7             return word2.length(); 8         } 9         if (word2.length()==0) {10             return word1.length();11         }12         13         int[][] distance=new int[word1.length()+1][word2.length()+1];14         for (int i = 0; i <= word1.length(); i++) {15             distance[i][0]=i;16         }17         for (int i = 0; i <= word2.length(); i++) {18             distance[0][i]=i;19         }20         21         for (int i = 1; i <= word1.length(); i++) {22             for (int j = 1; j <= word2.length(); j++) {23                 if (word1.charAt(i-1)==word2.charAt(j-1)) {24                     distance[i][j]=distance[i-1][j-1];25                 }else {26                     distance[i][j]=Math.min(Math.min(distance[i-1][j], distance[i][j-1]), distance[i-1][j-1])+1;27                 }28             }29             30         }31         return distance[word1.length()][word2.length()];32     }33 }

 

LeetCode Edit Distance