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 boolean containsJavaTokenIC(String s, String t) {
  return containsIC(javaTokC_iterator(s), t);
}
static boolean containsIC(Collection<String> l, String s) {
  return containsIgnoreCase(l, s);
}

static boolean containsIC(String[] l, String s) {
  return containsIgnoreCase(l, s);
}

static boolean containsIC(String s, char c) {
  return containsIgnoreCase(s, c);
}

static boolean containsIC(String a, String b) {
  return containsIgnoreCase(a, b);
}


static boolean containsIC(Producer<String> p, String a) {
  if (p != null && a != null) while (true) {
    String x = p.next();
    if (x == null) break;
    if (eq(x, a)) return true;
  }
  return false;
}

static Producer<String> javaTokC_iterator(final String s) {
  return new Producer<String>() {
    final int l = s.length();
    int i = 0;
    
    public String next() {
      if (i >= l) return null;
      
      int j = i;
      char c, d;
      
      // scan for whitespace
      while (j < l) {
        c = s.charAt(j);
        d = j+1 >= l ? '\0' : s.charAt(j+1);
        if (c == ' ' || c == '\t' || c == '\r' || c == '\n')
          ++j;
        else if (c == '/' && d == '*') {
          do ++j; while (j < l && !s.substring(j, Math.min(j+2, l)).equals("*/"));
          j = Math.min(j+2, l);
        } else if (c == '/' && d == '/') {
          do ++j; while (j < l && "\r\n".indexOf(s.charAt(j)) < 0);
        } else
          break;
      }
      
      i = j;
      if (i >= l) return null;
      c = s.charAt(i);
      d = i+1 >= l ? '\0' : s.charAt(i+1);
  
      // scan for non-whitespace
      if (c == '\'' || c == '"') {
        char opener = c;
        ++j;
        while (j < l) {
          if (s.charAt(j) == opener || s.charAt(j) == '\n') { // end at \n to not propagate unclosed string literal errors
            ++j;
            break;
          } else if (s.charAt(j) == '\\' && j+1 < l)
            j += 2;
          else
            ++j;
        }
      } else if (Character.isJavaIdentifierStart(c))
        do ++j; while (j < l && (Character.isJavaIdentifierPart(s.charAt(j)) || "'".indexOf(s.charAt(j)) >= 0)); // for stuff like "don't"
      else if (Character.isDigit(c)) {
        do ++j; while (j < l && Character.isDigit(s.charAt(j)));
        if (j < l && s.charAt(j) == 'L') ++j; // Long constants like 1L
      } else if (c == '[' && d == '[') {
        do ++j; while (j+1 < l && !s.substring(j, j+2).equals("]]"));
        j = Math.min(j+2, l);
      } else if (c == '[' && d == '=' && i+2 < l && s.charAt(i+2) == '[') {
        do ++j; while (j+2 < l && !s.substring(j, j+3).equals("]=]"));
        j = Math.min(j+3, l);
      } else
        ++j;
        
      String t = quickSubstring(s, i, j);
      i = j;
      return t;
    }
  };
}



static boolean containsIgnoreCase(Collection<String> l, String s) {
  if (l != null) for (String x : l)
    if (eqic(x, s))
      return true;
  return false;
}

static boolean containsIgnoreCase(String[] l, String s) {
  if (l != null) for (String x : l)
    if (eqic(x, s))
      return true;
  return false;
}

static boolean containsIgnoreCase(String s, char c) {
  return indexOfIgnoreCase(s, String.valueOf(c)) >= 0;
}

static boolean containsIgnoreCase(String a, String b) {
  return indexOfIgnoreCase(a, b) >= 0;
}
static boolean eq(Object a, Object b) {
  return a == b || (a == null ? b == null : b != null && a.equals(b));
}


static String quickSubstring(String s, int i, int j) {
  if (i == j) return "";
  return s.substring(i, j);
}


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);
}
// works on lists and strings and null

static int indexOfIgnoreCase(List<String> a, String b) {
  return indexOfIgnoreCase(a, b, 0);
}

static int indexOfIgnoreCase(List<String> a, String b, int i) {
  int n = a == null ? 0 : a.size();
  for (; i < n; i++)
    if (eqic(a.get(i), b)) return i;
  return -1;
}

static int indexOfIgnoreCase(String a, String b) {
  return indexOfIgnoreCase_manual(a, b);
  /*Matcher m = Pattern.compile(b, Pattern.CASE_INSENSITIVE + Pattern.LITERAL).matcher(a);
  if (m.find()) return m.start(); else ret -1;*/
}
static String str(Object o) {
  return o == null ? "null" : o.toString();
}

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


static String asString(Object o) {
  return o == null ? null : o.toString();
}
static int indexOfIgnoreCase_manual(String a, String b) {
  int la = strL(a), lb = strL(b);
  if (la < lb) return -1;
  int n = la-lb;
  
  loop: for (int i = 0; i <= n; i++) {
    for (int j = 0; j < lb; j++) {
      char c1 = a.charAt(i+j), c2 = b.charAt(j);
      if (!eqic(c1, c2))
        continue loop;
    }
    return i;
  }
  return -1;
}


static int strL(String s) {
  return s == null ? 0 : s.length();
}


static interface Producer<A> {
  public A next(); // null when end
}
}