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deletion-distance.java
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import java.io.*;
import java.util.*;
class Solution {
static int deletionDistance(String str1, String str2) {
for (int i = 0; i < str1.length(); i++) dp[i][0] = i;
for (int j = 0; j < str2.length(); j++) dp[0][j] = j;
for (int i = 0; i < str1.length(); i++)
for (int j = 0; j < str2.length(); j++)
if (str1.charAt(i) == str2.charAt(j)) {
dp[i][j] = dp[i-1][j-1];
} else {
dp[i][j] = 1 + Math.min(dp[i][j-1], dp[i-1][j]);
}
return dp[str1.length()][str2.length()];
}
}
int len = Math.max(str1.length(), str2.length()];
int cur[] = new int[len+1];
int prev[] = new int[len+1];
static int deletionDistance(String str1, String str2) {
for (int i = 0; i < str1.length(); i++) {
for (int j = 0; j < str2.length(); j++) {
if (i == 0) {
cur[j] = j;
} else if (j == 0) {
cur[j] = i;
} else if (str1.charAt(i) == str2.charAt(j)) {
cur[j] = prev[j-1];
} else {
cur[j] = 1 + Math.min(cur[j-1], prev[j]);
}
prev = cur;
cur = new int[len+1];
}
}
return prev[len];
}
public static void main(String[] args) {
String str1 = "some", str2 = "thing";
System.out.println(deletionDistance(str1, str2));
}
}