import java.util.*;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
String str1 = sc.nextLine();
String str2 = sc.nextLine();
char[] arr1 = str1.toCharArray();
char[] arr2 = str2.toCharArray();
int[][] bp = new int[arr1.length+1][arr2.length+1];
for(int i=0;i<=arr1.length;i++){
bp[i][0] = i;
}
for(int i=0;i<=arr2.length;i++){
bp[0][i] = i;
}
for(int i=1;i<=arr1.length;i++){
for(int j=1;j<=arr2.length;j++){
if(arr1[i-1] == arr2[j-1]){
bp[i][j] = bp[i-1][j-1];
}else{
bp[i][j] = Math.min(bp[i-1][j-1],Math.min(bp[i][j-1],bp[i-1][j]))+1;
}
}
}
System.out.println(bp[arr1.length][arr2.length]);
}
}