import java.util.Scanner;


public class MED_ver2
{

    /* ==============================================
       T(x,y) = cost to transform x --> y
       ============================================== */
    static int T(String x, String y)
    {
       int sol1, sol2, sol3, MySol=0;

       /* ---------------------------
          Base cases
          --------------------------- */
       if ( x.length() == 0 )
       {
           return(y.length());    // insertion all chars of y
       }

       if ( y.length() == 0 )
       {
           return(x.length());    // delete all chars in x
       }

       int i = x.length();
       int j = y.length();

       /* ---------------------------
          The other cases....
          --------------------------- */
       if ( x.charAt(i-1) == y.charAt(j-1) )
       {	
   	  sol1 = T(x.substring(0,i-1), y.substring(0,j-1));

	  MySol = sol1;    // No further edit necessary
	  return(MySol);
       }	
       else
       {
          /* ------------------------------------------------------
	     Last edit operation on x must be one of these:
	        1. delete last char
	        2. insert the last char of y to x
	        3. replace last char of x to the last char of y
	     ------------------------------------------------------- */
          sol1 = T(x.substring(0,i-1), y);    // Cost if delete step as last
	  sol2 = T(x, y.substring(0,j-1));    // Cost if insert step as last
	  sol3 = T(x.substring(0,i-1), y.substring(0,j-1));
					      // Cost if replace step as last 

	  /* ---------------------------------------
	     Conquer: solve original problem using
	     solution from smaller problems
	     --------------------------------------- */
	  sol1 = sol1 + 1;
	  sol2 = sol2 + 1;
	  sol3 = sol3 + 1;

	  if ( sol1 <= sol2 && sol1 <= sol3 )
	     MySol = sol1;    // Sol1 is best

	  if ( sol2 <= sol1 && sol2 <= sol3 )
	     MySol = sol2;    // Sol2 is best

	  if ( sol3 <= sol1 && sol3 <= sol2 )
	     MySol = sol3;    // Sol3 is best

	  return(MySol);
       }
   }


   public static void main(String[] args)
   {
       Scanner in = new Scanner(System.in);

       String x;
       String y;

       int r;

       System.out.print("String x = ");
       x = in.next();
       System.out.print("String y = ");
       y = in.next();

       r = T(x, y);

       System.out.println("Min. Edit Distance = " + r);
   }

}