public class Solution {
public int minDistance(String word1, String word2) {
int m = word1.length();
int n = word2.length();
int[][] table = new int[m+1][n+1];
table[0][0] = 0;
for (int i=1; i<=m; i++) {
table[i][0] = table[i-1][0]+1;
}
for (int j=1; j<=n; j++) {
table[0][j] = table[0][j-1]+1;
}
for (int i=1; i<=m; i++) {
for (int j=1; j<=n; j++) {
if (word1.charAt(i-1)==word2.charAt(j-1)) table[i][j] = table[i-1][j-1];
else table[i][j] = 1+ Math.min(Math.min(table[i-1][j-1], table[i-1][j]), table[i][j-1]);
}
}
return table[m][n];
}
}
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