http://poj.org/problem?id=1366
//* @author: <strong>Yeming Hu</strong>"cslittleye@gmail.com"
import java.util.*;
import java.io.*;
public class Main
{
public static BufferedInputStream bis;
public static StringBuilder str;
public static char[][] rules;
public static StringBuilder[] words;
public static int k;
public static void main(String[] args) throws Exception
{
bis = new BufferedInputStream(System.in);
rules = new char[8][4];
Map< String,Boolean> exist = new HashMap< String,Boolean>();
words = new StringBuilder[40000];
StringBuilder start,result, previous, key;
str = new StringBuilder();
start = new StringBuilder();
result = new StringBuilder();
previous = new StringBuilder();
key = new StringBuilder();
for(int i = 0; i < 40000; i++)
{
words[i] = new StringBuilder();
}
while(true)
{
int n = (int)readLong();
if(n == -1)
{
break;
}
k = 0;
start.delete(0,start.length());
start.append(readString());
readRules();
long s = readLong();
result.delete(0,result.length());
result.append(start);
exist.clear();
words[k].delete(0,words[k].length());
words[k].append(lowest(result));
k++;
for(int j=0;j< s;j++)
{
previous.delete(0,previous.length());
previous.append(result);
result.delete(0,result.length());
for(int i=0;i< n;i++)
{
int i1 = (i-2+n)%n;
int i2 = i;
int i3 = (i+1)%n;
key.delete(0,key.length());
key.append(previous.charAt(i1));
key.append(previous.charAt(i2));
key.append(previous.charAt(i3));
result.append(getKey(key));
}
String lw = lowest(result);
if(exist.get(lw) == null)
{
exist.put(lw,true);
words[k].delete(0,words[k].length());
words[k].append(lw);
k++;
}else
{
int index = find(lw);
int p = j + 1 - index;
long resultIndex = ((s - j) % p - 1 + p)%p + index;
result.delete(0,result.length());
result.append(words[(int)resultIndex]);
break;
}
}
System.out.println(lowest(result));
}
}
public static int find(String lw)
{
int index = 0;
for(int i = 0; i < k; i++)
{
boolean reached = true;
for(int j = 0; j < lw.length(); j++)
{
if(lw.charAt(j) != words[i].charAt(j))
{
reached = false;
break;
}
}
if(reached)
{
index = i;
break;
}
}
return index;
}
public static char getKey(StringBuilder sb)
{
char result = '';
for(int i = 0; i < 8; i++)
{
boolean reached = true;
for(int j = 0; j < 3; j++)
{
if(rules[i][j] != sb.charAt(j))
{
reached = false;
break;
}
}
if(reached)
{
result = rules[i][3];
break;
}
}
return result;
}
public static void readRules() throws Exception
{
for(int i = 0; i < 8; i++)
{
for(int j = 0; j < 4; j++)
{
while(true)
{
int bt = bis.read();
if(Character.isLetter(bt))
{
rules[i][j] = (char)bt;
break;
}
}
}
}
}
static String lowest(StringBuilder sb)
{
String p = sb.toString();
String min = p;
int n = p.length();
for(int i=0;i< n;i++)
{
String next = p.substring(n-1,n) + p.substring(0,n-1);
if(next.compareTo(min) < 0)
{
min = next;
}
p = next;
}
return min;
}
public static long readLong() throws Exception
{
long num = 0;
while(true)
{
int bt = bis.read();
if(bt == -1)
{
return -1;
}
if(Character.isDigit(bt))
{
num = num*10 + bt - '0';
break;
}
}
while(true)
{
int bt = bis.read();
if(!Character.isDigit(bt))
{
break;
}
num = num*10 + bt - '0';
}
return num;
}
public static StringBuilder readString() throws Exception
{
str.delete(0,str.length());
while(true)
{
int bt = bis.read();
if(Character.isLetter(bt))
{
str.append((char)bt);
break;
}
}
while(true)
{
int bt = bis.read();
if(!Character.isLetter(bt))
{
break;
}
str.append((char)bt);
}
return str;
}
}