import java.util.Scanner;
// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
// 注意 hasNext 和 hasNextLine 的区别
// while (in.hasNextInt()) { // 注意 while 处理多个 case
// int a = in.nextInt();
// int b = in.nextInt();
// System.out.println(a + b);
// }
String s1 = in.nextLine();
String s2 = in.nextLine();
char[] cs1 = s1.toCharArray();
int cs1Len = cs1.length;
char[] cs2 = s2.toCharArray();
int cs2Len = cs2.length;
int[][] dp = new int[cs1Len + 1][cs2Len + 1];
dp[0][0] = 0;
for (int i = 1; i <= cs1Len; i++) {
dp[i][0] = i;
}
for (int i = 1; i <= cs2Len; i++) {
dp[0][i] = i;
}
for (int i = 1; i <= cs1Len; i++) {
for (int j = 1; j <= cs2Len; j++) {
if (cs1[i - 1] == cs2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1];
} else {
dp[i][j] = Math.min(Math.min(dp[i - 1][j], dp[i][j - 1]), dp[i - 1][j - 1]) + 1;
}
}
}
System.out.print(dp[cs1Len][cs2Len]);
}
}