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package com.company;

import java.io.File;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) throws IOException {
        Scanner sc = new Scanner(new File("input.txt"));
        PrintWriter pw = new PrintWriter(new File("output.txt"));
//        Scanner sc = new Scanner(System.in);
        //считываем данные
        String s1 = sc.nextLine();
        String s2 = sc.nextLine();
        int len1 = s1.length();
        int len2 = s2.length();
        int[][] dp = new int[len1+1][len2+1];
        //заполняем i-ые строки и столбцы
        dp[0][0] = 0;
//        for (int i = 0; i<=len1; i++)
//            dp[0][i] = i;
//        for (int i = 0; i<=len2; i++)
//            dp[i][0] = i;
        for (int i = 1; i<=len1; i++)
            dp[0][i] = i;
        //динамика по формуле Вагнера-Фишера
        for (int i = 1; i<=len1; i++) {
            dp[i][0] = i;
            for (int j = 1; j <= len2; j++) {
                if (s1.charAt(i - 1) != s2.charAt(j - 1)) {
                    int min = Math.min(dp[i-1][j-1] + 1, dp[i-1][j] + 1);
                    if (min < dp[i][j-1]+1)
                        dp[i][j] = min;
                    else
                        dp[i][j] = dp[i][j-1]+1;
                } else
                    dp[i][j] = dp[i - 1][j - 1];
            }
        }
        pw.println(dp[len1][len2]);
        pw.close();
        sc.close();
    }
}