import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
public class main {


public static void main(String[] args) throws Exception {
  String s = "Hello world world world";
  print("Original:\n  " + s);
  String transformed = bwt(s, '|');
  print("BWT Transformed:\n  " + transformed);
  String x = inverseBWT(transformed, '|');
  print("Transformed back:\n  " + x);
  print(eq(s, x) ? "Yo!" : "No...");
  print();

  // Transform it again
  String doublyTransformed = bwt(transformed, '^');
  print("Doubly Transformed (not very useful):\n  " + doublyTransformed);
}

static String bwt(String input, char endMarker) {
  input += endMarker;
  int n = l(input);
  String[] tbl = new String[n];
  for (int i = 0; i < n; i++)
    tbl[i] = rotateString(input, i);
  sort(tbl);
  StringBuilder buf = new StringBuilder();
  for (int i = 0; i < n; i++)
    buf.append(last(tbl[i]));
  return str(buf);
}

static String rotateString(String s, int n) {
  if (n == 0) return s;
  return substring(s, l(s)-n) + substring(s, 0, l(s)-n);
}

static String inverseBWT(String s, char endMarker) {
  int n = l(s);
  String[] tbl = new String[n];
  for (int i = 0; i < n; i++)
    tbl[i] = "";
  for (int i = 0; i < n; i++) {
    // insert
    for (int j = 0; j < n; j++)
      tbl[j] = s.charAt(j) + tbl[j];
      
    // sort
    sort(tbl);
  }
  for (int i = 0; i < n; i++)
    if (last(tbl[i]) == endMarker)
      return dropLast(tbl[i]);
      
  throw fail("NEVER FAIL in a perfect world!");
}

static String str(Object o) {
  return String.valueOf(o);
}
static String[] dropLast(String[] a, int n) {
  n = Math.min(n, a.length);
  String[] b = new String[a.length-n];
  System.arraycopy(a, 0, b, 0, b.length);
  return b;
}

static <A> List<A> dropLast(List<A> l) {
  return subList(l, 0, l(l)-1);
}

static String dropLast(String s) {
  return substring(s, 0, l(s)-1);
}
  static RuntimeException fail() {
    throw new RuntimeException("fail");
  }
  
  static RuntimeException fail(Object msg) {
    throw new RuntimeException(String.valueOf(msg));
  }
  
  static RuntimeException fail(String msg) {
    throw new RuntimeException(unnull(msg));
  }
   
  // disabled for now to shorten some programs 
  /*static RuntimeException fail(S msg, O... args) {
    throw new RuntimeException(format(msg, args));
  }*/
static volatile StringBuffer local_log = new StringBuffer(); // not redirected
static volatile StringBuffer print_log = local_log; // might be redirected, e.g. to main bot

// in bytes - will cut to half that
static volatile int print_log_max = 1024*1024;
static volatile int local_log_max = 100*1024;
//static int print_maxLineLength = 0; // 0 = unset

static boolean print_silent; // total mute if set

static void print() {
  print("");
}

// slightly overblown signature to return original object...
static <A> A print(A o) {
  if (print_silent) return o;
  String s = String.valueOf(o) + "\n";
  // TODO if (print_maxLineLength != 0)
  StringBuffer loc = local_log;
  StringBuffer buf = print_log;
  int loc_max = print_log_max;
  if (buf != loc && buf != null) {
    print_append(buf, s, print_log_max);
    loc_max = local_log_max;
  }
  if (loc != null) 
    print_append(loc, s, loc_max);
  System.out.print(s);
  return o;
}

static void print(long l) {
  print(String.valueOf(l));
}

static void print(char c) {
  print(String.valueOf(c));
}

static void print_append(StringBuffer buf, String s, int max) {
  synchronized(buf) {
    buf.append(s);
    max /= 2;
    if (buf.length() > max) try {
      int newLength = max/2;
      int ofs = buf.length()-newLength;
      String newString = buf.substring(ofs);
      buf.setLength(0);
      buf.append("[...] ").append(newString);
    } catch (Exception e) {
      buf.setLength(0);
    }
  }
}
static <A> A last(List<A> l) {
  return l.isEmpty() ? null : l.get(l.size()-1);
}

static char last(String s) {
  return empty(s) ? '#' : s.charAt(l(s)-1);
}
static <T> void sort(T[] a, Comparator<? super T> c) {
  Arrays.sort(a, c);
}

static <T> void sort(T[] a) {
  Arrays.sort(a);
}

static <T> void sort(List<T> a, Comparator<? super T> c) {
  Collections.sort(a, c);
}

static void sort(List a) {
  Collections.sort(a);
}
static boolean eq(Object a, Object b) {
  if (a == null) return b == null;
  if (a.equals(b)) return true;
  if (a instanceof BigInteger) {
    if (b instanceof Integer) return a.equals(BigInteger.valueOf((Integer) b));
    if (b instanceof Long) return a.equals(BigInteger.valueOf((Long) b));
  }
  return false;
}
static int l(Object[] a) { return a == null ? 0 : a.length; }
static int l(byte[] a) { return a == null ? 0 : a.length; }
static int l(int[] a) { return a == null ? 0 : a.length; }
static int l(float[] a) { return a == null ? 0 : a.length; }
static int l(char[] a) { return a == null ? 0 : a.length; }
static int l(Collection c) { return c == null ? 0 : c.size(); }
static int l(Map m) { return m == null ? 0 : m.size(); }
static int l(CharSequence s) { return s == null ? 0 : s.length(); } 

static int l(Object o) {
  return l((List) o); // incomplete
}

static String substring(String s, int x) {
  return safeSubstring(s, x);
}

static String substring(String s, int x, int y) {
  return safeSubstring(s, x, y);
}


static <A> List<A> subList(List<A> l, int startIndex) {
  return subList(l, startIndex, l(l));
}

static <A> List<A> subList(List<A> l, int startIndex, int endIndex) {
  startIndex = max(0, min(l(l), startIndex));
  endIndex = max(0, min(l(l), endIndex));
  if (startIndex > endIndex) return litlist();
  return l.subList(startIndex, endIndex);
}

  static String unnull(String s) {
    return s == null ? "" : s;
  }
  
  static <A> List<A> unnull(List<A> l) {
    return l == null ? emptyList() : l;
  }
  
  static <A> Iterable<A> unnull(Iterable<A> i) {
    return i == null ? emptyList() : i;
  }
  
  static Object[] unnull(Object[] a) {
    return a == null ? new Object[0] : a;
  }
static boolean empty(Collection c) {
  return isEmpty(c);
}

static boolean empty(String s) {
  return isEmpty(s);
}

static boolean empty(Map map) {
  return map == null || map.isEmpty();
}

static boolean empty(Object[] o) {
  return o == null || o.length == 0;
}

static boolean empty(Object o) {
  if (o instanceof Collection) return empty((Collection) o);
  if (o instanceof String) return empty((String) o);
  if (o instanceof Map) return empty((Map) o);
  if (o instanceof Object[]) return empty((Object[]) o);
  throw fail("unknown type for 'empty': " + getType(o));
}
// hopefully covers all cases :)
static String safeSubstring(String s, int x, int y) {
  if (s == null) return null;
  if (x < 0) x = 0;
  if (x > s.length()) return "";
  if (y < x) y = x;
  if (y > s.length()) y = s.length();
  return s.substring(x, y);
}

static String safeSubstring(String s, int x) {
  return safeSubstring(s, x, l(s));
}



static int max(int a, int b) {
  return Math.max(a, b);
}

static long max(int a, long b) {
  return Math.max((long) a, b);
}

static long max(long a, long b) {
  return Math.max(a, b);
}

static double max(int a, double b) {
  return Math.max((double) a, b);
}

static float max(float a, float b) {
  return Math.max(a, b);
}

static int max(Collection<Integer> c) {
  int x = Integer.MIN_VALUE;
  for (int i : c) x = max(x, i);
  return x;
}

static double max(double[] c) {
  if (c.length == 0) return Double.MIN_VALUE;
  double x = c[0];
  for (int i = 1; i < c.length; i++) x = Math.max(x, c[i]);
  return x;
}

static byte max(byte[] c) {
  byte x = -128;
  for (byte d : c) if (d > x) x = d;
  return x;
}
static boolean isEmpty(Collection c) {
  return c == null || c.isEmpty();
}

static boolean isEmpty(CharSequence s) {
  return s == null || s.length() == 0;
}

static boolean isEmpty(Object[] a) {
  return a == null || a.length == 0;
}

static boolean isEmpty(Map map) {
  return map == null || map.isEmpty();
}
static List emptyList() {
  return new ArrayList();
  //ret Collections.emptyList();
}
static int min(int a, int b) {
  return Math.min(a, b);
}

static double min(double a, double b) {
  return Math.min(a, b);
}

static double min(double[] c) {
  double x = Double.MAX_VALUE;
  for (double d : c) x = Math.min(x, d);
  return x;
}

static byte min(byte[] c) {
  byte x = 127;
  for (byte d : c) if (d < x) x = d;
  return x;
}
static String getType(Object o) {
  return getClassName(o);
}
static <A> ArrayList<A> litlist(A... a) {
  return new ArrayList<A>(Arrays.asList(a));
}


static String getClassName(Object o) {
  return o == null ? "null" : o.getClass().getName();
}

}