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 java.util.concurrent.locks.*;
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.*;
class main {

static class Fragment {
  String text; // should not be null like ever
  transient int hashCode;
  
  Fragment() {}
  Fragment(String text) { this.text = trim(text); }
  
  public String toString() { return text == null ? "null fragment you bunny" : text; }
  
  public int hashCode() {
    if (hashCode == 0) hashCode = main.hashCode(upper(text));
    return hashCode;
  }
  
  // Note: we have the "turkish" problem (upper <-> eqic)
  public boolean equals(Object o) {
    // we could allow string here too but that's nasty
    if (!(o instanceof Fragment)) return false;
    return eqic(text, ((Fragment) o).text);
  }
}
static String trim(String s) { return s == null ? null : s.trim(); }
static String trim(StringBuilder buf) { return buf.toString().trim(); }
static String trim(StringBuffer buf) { return buf.toString().trim(); }
static int hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
static String upper(String s) {
  return s == null ? null : s.toUpperCase();
}

static char upper(char c) {
  return Character.toUpperCase(c);
}
static boolean eqic(String a, String b) {
  
  
    if ((a == null) != (b == null)) return false;
    if (a == null) return true;
    return a.equalsIgnoreCase(b);
  
}



static boolean eqic(char a, char b) {
  if (a == b) return true;
  
    char u1 = Character.toUpperCase(a);
    char u2 = Character.toUpperCase(b);
    if (u1 == u2) return true;
  
  return Character.toLowerCase(u1) == Character.toLowerCase(u2);
}


static boolean eq(Object a, Object b) {
  return a == b || a != null && b != null && a.equals(b);
}


static String asString(Object o) {
  return o == null ? null : o.toString();
}


static String str(Object o) {
  return o == null ? "null" : o.toString();
}

static String str(char[] c) {
  return new String(c);
}

}