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 {


public static void main(final String[] args) throws Exception { startDeadlockDetector(); }

static Object html(String uri, final Map<String, String> params) { try {

  List<ThreadInfo> l = printDeadlocks_lastDeadlock;
  if (l == null) return "No deadlocks";
  return h1("Deadlock with " + n(l, "threads") + "!") + pre(htmlencode(deadlockedThreadsToString(l)));
} catch (Exception __e) { throw rethrow(__e); } }


static String pre(Object contents) {
  return tag("pre", contents);
}
static Var<java.util.Timer> startDeadlockDetector_timer = new Var();
static int startDeadlockDetector_interval;
static boolean startDeadlockDetector_noStop; // don't stop when deadlock found

static void startDeadlockDetector() {
  synchronized(startDeadlockDetector_timer) {
    if (startDeadlockDetector_timer.get() == null)
      startDeadlockDetector_timer.set(doEvery_daemon(1000, new Object() { Object get() { try { 
        if (empty(printDeadlocks())) return null;
        if (startDeadlockDetector_noStop) { print("Stopping deadlock detector."); return false; }
        return null;
       } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "if (empty(printDeadlocks())) null;\r\n        if (startDeadlockDetector_noStop) { ..."; }}));
  }
}
static String deadlockedThreadsToString(List<ThreadInfo> threadInfo) {
  List<String> out = new ArrayList();
  int i = 0;
  Map<ThreadInfo, Thread> map = threadInfosToThreads_map(threadInfo);
  for (ThreadInfo threadInfo1 : threadInfo) {
    out.add("Thread " + (++i) + "/" + l(threadInfo) + ": ID=" + threadInfo1.getThreadId()
      + ", name=" + quote(threadInfo1.getThreadName()));
    out.add("  Trying to lock: " + threadInfo1.getLockName()
      + " which is owned by thread " + threadInfo1.getLockOwnerId()
      + " (" + quote(threadInfo1.getLockOwnerName()) + ")");
    // ThreadInfo.getStackTrace() doesn't work, so we look up the thread.
    Thread t = map.get(threadInfo1);
    if (t != null) {
      StackTraceElement[] st = t.getStackTrace();
      out.add("Stack trace (" + l(st) + "): ");
      out.add(indentx(stackTraceToString(st)));
    }
  }
  return lines(out);
}
static Map<Thread, Boolean> _registerThread_threads = Collections.synchronizedMap(new WeakHashMap());

static Thread _registerThread(Thread t) {
  _registerThread_threads.put(t, true);
  return t;
}

static void _registerThread() { _registerThread(Thread.currentThread()); }
static String h1(String s, Object... params) {
  return tag("h1", s, params);
}
static String n(long l, String name) {
  return l + " " + (l == 1 ? singular(name) : getPlural(name));
}

static String n(Collection l, String name) {
  return n(l(l), name);
}

static String n(Map m, String name) {
  return n(l(m), name);
}

static String n(Object[] a, String name) {
  return n(l(a), name);
}


  // automagically encode a whole map (keys+values)
  static Map htmlencode(Map o) {
    HashMap bla = new HashMap();
    for (Object key : keys(o)) {
      Object value = o.get(key);
      bla.put(htmlencode(key), htmlencode(value));
    }
    return bla;
  }

  static String htmlencode(Object o) {
    return htmlencode(string(o));
  }
  
  static String htmlencode(String s) {
    if (s == null) return "";
    StringBuilder out = new StringBuilder(Math.max(16, s.length()));
    for (int i = 0; i < s.length(); i++) {
        char c = s.charAt(i);
        if (c > 127 || c == '"' || c == '<' || c == '>' || c == '&') {
            out.append("&#");
            out.append((int) c);
            out.append(';');
        } else {
            out.append(c);
        }
    }
    return out.toString();
  }


static volatile List<ThreadInfo> printDeadlocks_lastDeadlock;

static List<ThreadInfo> printDeadlocks() {
  ThreadMXBean bean = ManagementFactory.getThreadMXBean();
  long ids[] = bean.findDeadlockedThreads();
  if (empty(ids)) return emptyList();
  
  printAsciiHeading("DEADLOCKED THREADS!");
  ThreadInfo threadInfo[] = bean.getThreadInfo(ids);
  print(deadlockedThreadsToString(asList(threadInfo)));
  return printDeadlocks_lastDeadlock = asList(threadInfo);
}
static Map<ThreadInfo, Thread> threadInfosToThreads_map(List<ThreadInfo> l) {
  HashMap<Long,Thread> map = new HashMap();
  for (Thread t : keys(Thread.getAllStackTraces()))
    map.put(t.getId(), t);
  HashMap<ThreadInfo,Thread> out = new HashMap();
  for (ThreadInfo t : l)
    mapPut(out, t, map.get(t.getThreadId()));
  return out;
}
static List<String> getPlural_specials = ll("sheep", "fish");

static String getPlural(String s) {
  if (containsIgnoreCase(getPlural_specials, s)) return s;
  if (ewic(s, "y")) return dropSuffixIgnoreCase("y", s) + "ies";
  if (ewic(s, "ss")) return s + "es";
  if (ewic(s, "s")) return s;
  return s + "s";
}
static String string(Object o) {
  return String.valueOf(o);
}
static String stackTraceToString(StackTraceElement[] st) {
  return lines(allToString(asList(st)));
}
static <A, B> Set<A> keys(Map<A, B> map) {
  return map.keySet();
}

static Set keys(Object map) {
  return keys((Map) map);
}


// firstDelay = delay
static java.util.Timer doEvery_daemon(int delay, final Object r) {
  return doEvery_daemon(delay, delay, r);
}

static java.util.Timer doEvery_daemon(int delay, int firstDelay, final Object r) {
  final java.util.Timer timer = new java.util.Timer(true);
  timer.scheduleAtFixedRate(smartTimerTask(r, timer, delay), firstDelay, delay);
  return timer;
}

static int l(Object[] a) { return a == null ? 0 : a.length; }
static int l(boolean[] 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 long l(File f) { return f == null ? 0 : f.length(); }

static int l(Object o) {
  return o instanceof String ? l((String) o)
    : o instanceof Map ? l((Map) o)
    : l((Collection) o); // incomplete
}




static boolean empty(Collection c) { return c == null || c.isEmpty(); }
static boolean empty(String s) { return s == null || s.length() == 0; }
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));
}

static boolean empty(float[] a) { return a == null || a.length == 0; }
static boolean empty(int[] a) { return a == null || a.length == 0; }
static boolean empty(long[] a) { return a == null || a.length == 0; }
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 Object print_byThread_lock = new Object();
static volatile ThreadLocal<F1<String, Boolean>> print_byThread; // special handling by thread

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

// slightly overblown signature to return original object...
static <A> A print(A o) {
  ping();
  if (print_silent) return o;
  String s = String.valueOf(o) + "\n";
  print_noNewLine(s);
  return o;
}

static void print_noNewLine(String s) {
  if (print_byThread != null) {
    F1<String, Boolean> f = print_byThread.get();
    if (f != null)
      if (isFalse(f.get(s))) return;
  }

  print_raw(s);
}

static void print_raw(String s) {
  s = fixNewLines(s);
  // 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);
}

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 String quote(Object o) {
  if (o == null) return "null";
  return quote(str(o));
}

static String quote(String s) {
  if (s == null) return "null";
  StringBuilder out = new StringBuilder((int) (l(s)*1.5+2));
  quote_impl(s, out);
  return out.toString();
}
  
static void quote_impl(String s, StringBuilder out) {
  out.append('"');
  int l = s.length();
  for (int i = 0; i < l; i++) {
    char c = s.charAt(i);
    if (c == '\\' || c == '"')
      out.append('\\').append(c);
    else if (c == '\r')
      out.append("\\r");
    else if (c == '\n')
      out.append("\\n");
    else
      out.append(c);
  }
  out.append('"');
}
static String indentx(String s) {
  return indentx(indent_default, s);
}

static String indentx(int n, String s) {
  return dropSuffix(repeat(' ', n), indent(n, s));
}

static String indentx(String indent, String s) {
  return dropSuffix(indent, indent(indent, s));
}
static String tag(String tag) {
  return htag(tag);
}

static String tag(String tag, Object contents, Object... params) {
  return htag(tag, str(contents), params);
}

static String tag(String tag, StringBuilder contents, Object... params) {
  return htag(tag, contents, params);
}

static String tag(String tag, StringBuffer contents, Object... params) {
  return htag(tag, contents, params);
}
static Map<String, String> singular_specials = litmap(
  "children", "child", "images", "image", "chess", "chess");
  
static Set<String> singular_specials2 = litset("time", "machine");

static String singular(String s) {
  if (s == null) return null;
  { String _a_1 = singular_specials.get(s); if (!empty(_a_1)) return _a_1; }
  if (singular_specials2.contains(dropSuffix("s", s)))
    return dropSuffix("s", s);
  if (s.endsWith("ness")) return s;
  if (s.endsWith("ges")) return dropSuffix("s", s);
  s = dropSuffix("es", s);
  s = dropSuffix("s", s);
  return s;
}
static String lines(Collection<String> lines) { return fromLines(lines); }
static List<String> lines(String s) { return toLines(s); }


static <A> List<A> ll(A... a) {
  return litlist(a);
}
static String fixNewLines(String s) {
  return s.replace("\r\n", "\n").replace("\r", "\n");
}
static String htag(String tag) {
  return htag(tag, "");
}

static String htag(String tag, Object contents, Object... params) {
  String openingTag = hopeningTag(tag, params);
  String s = str(contents);
  if (empty(s))
    return dropLast(openingTag) + "/>";
  return openingTag + s + "</" + tag + ">";
}
static String dropSuffixIgnoreCase(String suffix, String s) {
  return ewic(s, suffix) ? s.substring(0, l(s)-l(suffix)) : s;
}
static void printAsciiHeading(String text) {
  print(asciiHeading2(text));
}
static int indent_default = 2;

static String indent(int indent) {
  return repeat(' ', indent);
}

static String indent(int indent, String s) {
  return indent(repeat(' ', indent), s);
}

static String indent(String indent, String s) {
  return indent + s.replace("\n", "\n" + indent);
}

static String indent(String s) {
  return indent(indent_default, s);
}

static List<String> indent(String indent, List<String> lines) {
  List<String> l = new ArrayList();
  for (String s : lines)
    l.add(indent + s);
  return l;
}
static volatile boolean ping_pauseAll;
static int ping_sleep = 100; // poll pauseAll flag every 100
static volatile boolean ping_anyActions;
static Map<Thread, Object> ping_actions = synchroMap(new WeakHashMap());

// always returns true
static boolean ping() {
  if (ping_pauseAll || ping_anyActions) ping_impl();
  return true;
}

// returns true when it slept
static boolean ping_impl() { try {
  if (ping_pauseAll && !isAWTThread()) {
    do
      Thread.sleep(ping_sleep);
    while (ping_pauseAll);
    return true;
  }
  
  if (ping_anyActions) {
    Object action;
    synchronized(ping_actions) {
      action = ping_actions.get(currentThread());
      if (action instanceof Runnable)
        ping_actions.remove(currentThread());
      if (ping_actions.isEmpty()) ping_anyActions = false;
    }
    
    if (action instanceof Runnable)
      ((Runnable) action).run();
    else if (eq(action, "cancelled"))
      throw fail("Thread cancelled.");
  }
  
  return false;
} catch (Exception __e) { throw rethrow(__e); } }
// usually L<S>
static String fromLines(Collection lines) {
  StringBuilder buf = new StringBuilder();
  if (lines != null)
    for (Object line : lines)
      buf.append(str(line)).append('\n');
  return buf.toString();
}

static String fromLines(String... lines) {
  return fromLines(asList(lines));
}
static <A> ArrayList<A> asList(A[] a) {
  return new ArrayList<A>(Arrays.asList(a));
}

static ArrayList<Integer> asList(int[] a) {
  ArrayList<Integer> l = new ArrayList();
  for (int i : a) l.add(i);
  return l;
}

static <A> ArrayList<A> asList(Iterable<A> s) {
  if (s instanceof ArrayList) return (ArrayList) s;
  ArrayList l = new ArrayList();
  if (s != null)
    for (A a : s)
      l.add(a);
  return l;
}

static <A> ArrayList<A> asList(Enumeration<A> e) {
  ArrayList l = new ArrayList();
  if (e != null)
    while (e.hasMoreElements())
      l.add(e.nextElement());
  return l;
}
static List emptyList() {
  return new ArrayList();
  //ret Collections.emptyList();
}
static String repeat(char c, int n) {
  n = Math.max(n, 0);
  char[] chars = new char[n];
  for (int i = 0; i < n; i++)
    chars[i] = c;
  return new String(chars);
}

static <A> List<A> repeat(A a, int n) {
  List<A> l = new ArrayList();
  for (int i = 0; i < n; i++)
    l.add(a);
  return l;
}

static <A> List<A> repeat(int n, A a) {
  return repeat(a, n);
}
static <A, B> void mapPut(Map<A, B> map, A key, B value) {
  if (map != null && key != null && value != null) map.put(key, value);
}
// r may return false to cancel timer
static TimerTask smartTimerTask(final Object r, final java.util.Timer timer, final int delay) {
  return new TimerTask() {
    long lastRun;
    
    public void run() {
      if (!licensed())
        timer.cancel();
      else {
        lastRun = fixTimestamp(lastRun);
        long now = now();
        if (now >= lastRun + delay*0.9) {
          lastRun = now;
          if (eq(false, pcallF(r)))
            timer.cancel();
        }
      }
    }
  };
}
static List<String> toLines(File f) {
  return toLines(loadTextFile(f));
}

  public static List<String> toLines(String s) {
    List<String> lines = new ArrayList<String>();
    if (s == null) return lines;
    int start = 0;
    while (true) {
      int i = toLines_nextLineBreak(s, start);
      if (i < 0) {
        if (s.length() > start) lines.add(s.substring(start));
        break;
      }

      lines.add(s.substring(start, i));
      if (s.charAt(i) == '\r' && i+1 < s.length() && s.charAt(i+1) == '\n')
        i += 2;
      else
        ++i;

      start = i;
    }
    return lines;
  }

  private static int toLines_nextLineBreak(String s, int start) {
    for (int i = start; i < s.length(); i++) {
      char c = s.charAt(i);
      if (c == '\r' || c == '\n')
        return i;
    }
    return -1;
  }
static List<String> allToString(Collection c) {
  List<String> l = new ArrayList();
  for (Object o : c) l.add(str(o));
  return l;
}
static <A> HashSet<A> litset(A... items) {
  return lithashset(items);
}
static boolean ewic(String a, String b) {
  return endsWithIgnoreCase(a, b);
}
static String dropSuffix(String suffix, String s) {
  return s.endsWith(suffix) ? s.substring(0, l(s)-l(suffix)) : s;
}
static boolean isFalse(Object o) {
  return eq(false, o);
}
static boolean containsIgnoreCase(List<String> l, String s) {
  for (String x : l)
    if (eqic(x, s))
      return true;
  return false;
}

static boolean containsIgnoreCase(String[] l, String s) {
  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 Map litmap(Object... x) {
  TreeMap map = new TreeMap();
  litmap_impl(map, x);
  return map;
}

static void litmap_impl(Map map, Object... x) {
  for (int i = 0; i < x.length-1; i += 2)
    if (x[i+1] != null)
      map.put(x[i], x[i+1]);
}
static String str(Object o) {
  return o == null ? "null" : o.toString();
}

static String str(char[] c) {
  return new String(c);
}
static RuntimeException fail() {
  throw new RuntimeException("fail");
}

static RuntimeException fail(Throwable e) {
  throw asRuntimeException(e);
}

static RuntimeException fail(Object msg) {
  throw new RuntimeException(String.valueOf(msg));
}

static RuntimeException fail(String msg) {
  throw new RuntimeException(unnull(msg));
}
 
static RuntimeException fail(String msg, Throwable innerException) {
  throw new RuntimeException(msg, innerException);
}

static String getType(Object o) {
  return getClassName(o);
}


static Object pcallF(Object f, Object... args) {
  return pcallFunction(f, args);
}


static <A, B> B pcallF(F1<A, B> f, A a) { try {
  return f == null ? null : f.get(a);
} catch (Throwable __e) { return null; } }

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

static <A> List<A> dropLast(Iterable<A> l) {
  return dropLast(asList(l));
}

static String dropLast(String s) {
  return substring(s, 0, l(s)-1);
}
static RuntimeException asRuntimeException(Throwable t) {
  return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static String asciiHeading2(String title) {
  return asciiHeading(title) + "\n";
}
// TODO: test if android complains about this
static boolean isAWTThread() {
  if (isAndroid()) return false;
  if (isHeadless()) return false;
  return isAWTThread_awt();
}

static boolean isAWTThread_awt() {
  return SwingUtilities.isEventDispatchThread();
}
static Thread currentThread() {
  return Thread.currentThread();
}
static boolean eq(Object a, Object b) {
  return a == null ? b == null : a == b || a.equals(b);
}
static <A> HashSet<A> lithashset(A... items) {
  HashSet<A> set = new HashSet();
  for (A a : items) set.add(a);
  return set;
}
static String getClassName(Object o) {
  return o == null ? "null" : o.getClass().getName();
}
static long fixTimestamp(long timestamp) {
  return timestamp > now() ? 0 : timestamp;
}
static Map synchroMap() {
  return synchroHashMap();
}

static <A, B> Map<A, B> synchroMap(Map<A, B> map) {
  return Collections.synchronizedMap(map);
}
static boolean endsWithIgnoreCase(String a, String b) {
  return a != null && l(a) >= l(b) && a.regionMatches(true, l(a)-l(b), b, 0, l(b));
}
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 BitSet unnull(BitSet b) {
  return b == null ? new BitSet() : b;
}
static <A> ArrayList<A> litlist(A... a) {
  return new ArrayList<A>(Arrays.asList(a));
}
static long now_virtualTime;
static long now() {
  return now_virtualTime != 0 ? now_virtualTime : System.currentTimeMillis();
}

static volatile boolean licensed_yes = true;

static boolean licensed() {
  ping();
  return licensed_yes;
}

static void licensed_off() {
  licensed_yes = false;
}
  public static String loadTextFile(String fileName) {
    return loadTextFile(fileName, null);
  }
  
  public static String loadTextFile(String fileName, String defaultContents) {
    try {
      if (!new File(fileName).exists())
        return defaultContents;
  
      FileInputStream fileInputStream = new FileInputStream(fileName);
      InputStreamReader inputStreamReader = new InputStreamReader(fileInputStream, "UTF-8");
      return loadTextFile(inputStreamReader);
    } catch (IOException e) {
      throw new RuntimeException(e);
    }
  }
  
  public static String loadTextFile(File fileName) {
    return loadTextFile(fileName, null);
  }

  public static String loadTextFile(File f, String defaultContents) {
    return f == null ? defaultContents : loadTextFile(f.getPath(), defaultContents);
  }
  
  public static String loadTextFile(Reader reader) throws IOException {
    StringBuilder builder = new StringBuilder();
    try {
      char[] buffer = new char[1024];
      int n;
      while (-1 != (n = reader.read(buffer)))
        builder.append(buffer, 0, n);
        
    } finally {
      reader.close();
    }
    return builder.toString();
  }
static boolean eqic(String a, String b) {
  if ((a == null) != (b == null)) return false;
  if (a == null) return true;
  return a.equalsIgnoreCase(b);
}
static String hopeningTag(String tag, Object... params) {
  StringBuilder buf = new StringBuilder();
  buf.append("<" + tag);
  for (int i = 0; i < l(params); i += 2) {
    String name = (String) get(params, i);
    Object val = get(params, i+1);
    if (nempty(name) && val != null) {
      String s = str(val);
      if (!empty(s))
        buf.append(" " + name + "=" + htmlQuote(s));
    }
  }
  buf.append(">");
  return str(buf);
}
// works on lists and strings and null

static int indexOfIgnoreCase(Object a, Object b) {
  if (a == null) return -1;
  if (a instanceof String) {
     Matcher m = Pattern.compile((String) b, Pattern.CASE_INSENSITIVE + Pattern.LITERAL).matcher((String) a);
     if (m.find()) return m.start(); else return -1;
  }
  if (a instanceof List) {
    for (int i = 0; i < ((List) a).size(); i++) {
      Object o = ((List) a).get(i);
      if (o != null && ((String) o).equalsIgnoreCase((String) b))
        return i;
    }
    return -1;
  }
  throw fail("Unknown type: " + a);
}


static Boolean isHeadless_cache;

static boolean isHeadless() {
  if (isHeadless_cache != null) return isHeadless_cache;
  if (GraphicsEnvironment.isHeadless()) return isHeadless_cache = true;
  
  // Also check if AWT actually works.
  // If DISPLAY variable is set but no X server up, this will notice.
  
  try {
    SwingUtilities.isEventDispatchThread();
    return isHeadless_cache = false;
  } catch (Throwable e) { return isHeadless_cache = true; }
}
static String asciiHeading(String title) {
  return "\n" + title + "\n" + rep(l(title), '-');
}
static String htmlQuote(String s) {
  return "\"" + htmlencode(s) + "\"";
}
static String substring(String s, int x) {
  return substring(s, x, l(s));
}

static String substring(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);
}


// get purpose 1: access a list/array/map (safer version of x.get(y))

static <A> A get(List<A> l, int idx) {
  return l != null && idx >= 0 && idx < l(l) ? l.get(idx) : null;
}

// seems to conflict with other signatures
/*static <A, B> B get(Map<A, B> map, A key) {
  ret map != null ? map.get(key) : null;
}*/

static <A> A get(A[] l, int idx) {
  return idx >= 0 && idx < l(l) ? l[idx] : null;
}

// default to false
static boolean get(boolean[] l, int idx) {
  return idx >= 0 && idx < l(l) ? l[idx] : false;
}

// get purpose 2: access a field by reflection or a map

static Object get(Object o, String field) {
  try {
    if (o instanceof Class) return get((Class) o, field);
    
    if (o instanceof Map)
      return ((Map) o).get(field);
      
    Field f = getOpt_findField(o.getClass(), field);
    if (f != null) {
      f.setAccessible(true);
      return f.get(o);
    }
      
    
  } catch (Exception e) {
    throw asRuntimeException(e);
  }
  throw new RuntimeException("Field '" + field + "' not found in " + o.getClass().getName());
}

static Object get_raw(Object o, String field) {
  try {
    Field f = get_findField(o.getClass(), field);
    f.setAccessible(true);
    return f.get(o);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
}

static Object get(Class c, String field) {
  try {
    Field f = get_findStaticField(c, field);
    f.setAccessible(true);
    return f.get(null);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
}

static Field get_findStaticField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field) && (f.getModifiers() & Modifier.STATIC) != 0)
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  throw new RuntimeException("Static field '" + field + "' not found in " + c.getName());
}

static Field get_findField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field))
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  throw new RuntimeException("Field '" + field + "' not found in " + c.getName());
}

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 boolean nempty(Collection c) {
  return !isEmpty(c);
}

static boolean nempty(CharSequence s) {
  return !isEmpty(s);
}

static boolean nempty(Object[] o) {
  return !isEmpty(o);
}

static boolean nempty(Map m) {
  return !isEmpty(m);
}

static boolean nempty(Iterator i) {
  return i != null && i.hasNext();
}
static Object pcallFunction(Object f, Object... args) {
  try { return callFunction(f, args); } catch (Throwable __e) { printStackTrace2(__e); }
  return null;
}
static Map synchroHashMap() {
  return Collections.synchronizedMap(new HashMap());
}

static int isAndroid_flag;

static boolean isAndroid() {
  if (isAndroid_flag == 0)
    isAndroid_flag = System.getProperty("java.vendor").toLowerCase().indexOf("android") >= 0 ? 1 : -1;
  return isAndroid_flag > 0;
}



static Object callFunction(Object f, Object... args) {
  return callF(f, args);
}
static String rep(int n, char c) {
  return repeat(c, n);
}

static String rep(char c, int n) {
  return repeat(c, n);
}

static <A> List<A> rep(A a, int n) {
  return repeat(a, n);
}

static <A> List<A> rep(int n, A a) {
  return repeat(n, a);
}

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

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

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

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 float min(float[] c) {
  float x = Float.MAX_VALUE;
  for (float 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 short min(short[] c) {
  short x = 0x7FFF;
  for (short d : c) if (d < x) x = d;
  return x;
}
static int max(int a, int b) { return Math.max(a, b); }
static int max(int a, int b, int c) { return max(max(a, b), c); }
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 float max(float[] c) {
  if (c.length == 0) return Float.MAX_VALUE;
  float 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 short max(short[] c) {
  short x = -0x8000;
  for (short 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 Field getOpt_findField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field))
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  return null;
}


static WeakHashMap<Class, ArrayList<Method>> callF_cache = new WeakHashMap();

static Object callF(Object f, Object... args) { try {
  if (f instanceof String)
    return callMC((String) f, args);
  if (f instanceof Runnable) {
    ((Runnable) f).run();
    return null;
  }
  if (f == null) return null;
  
  Class c = f.getClass();
  ArrayList<Method> methods;
  synchronized(callF_cache) {
    methods = callF_cache.get(c);
    if (methods == null)
      methods = callF_makeCache(c);
  }
  
  int n = l(methods);
  if (n == 0) throw fail("No get method in " + getClassName(c));
  if (n == 1) return methods.get(0).invoke(f, args);
  for (int i = 0; i < n; i++) {
    Method m = methods.get(i);
    if (call_checkArgs(m, args, false))
      return m.invoke(f, args);
  }
  throw fail("No matching get method in " + getClassName(c));
} catch (Exception __e) { throw rethrow(__e); } }

// used internally
static ArrayList<Method> callF_makeCache(Class c) {
  ArrayList<Method> l = new ArrayList();
  Class _c = c;
  do {
    for (Method m : _c.getDeclaredMethods())
      if (m.getName().equals("get")) {
        m.setAccessible(true);
        l.add(m);
      }
    if (!l.isEmpty()) break;
    _c = _c.getSuperclass();
  } while (_c != null);
  callF_cache.put(c, l);
  return l;
}


static final HashMap<String, List<Method>> callMC_cache = new HashMap();
static String callMC_key;
static Method callMC_value;

// varargs assignment fixer for a single string array argument
static Object callMC(String method, String[] arg) {
  return callMC(method, new Object[] {arg});
}

static Object callMC(String method, Object... args) { try {
  Method me;
  synchronized(callMC_cache) {
    me = method == callMC_key ? callMC_value : null;
  }
  if (me != null) return callMC_value.invoke(null, args);

  List<Method> m;
  synchronized(callMC_cache) {
    m = callMC_cache.get(method);
  }
  if (m == null) {
    if (callMC_cache.isEmpty()) {
      callMC_makeCache();
      m = callMC_cache.get(method);
    }
    if (m == null) throw fail("Method named " + method + " not found in main");
  }
  int n = m.size();
  if (n == 1) {
    me = m.get(0);
    synchronized(callMC_cache) {
      callMC_key = method;
      callMC_value = me;
    }
    return me.invoke(null, args);
  }
  for (int i = 0; i < n; i++) {
    me = m.get(i);
    if (call_checkArgs(me, args, false))
      return me.invoke(null, args);
  }
  throw fail("No method called " + method + " with matching arguments found in main");
} catch (Exception __e) { throw rethrow(__e); } }

static void callMC_makeCache() {
  synchronized(callMC_cache) {
    callMC_cache.clear();
    Class _c = (Class) mc(), c = _c;
    while (c != null) {
      for (Method m : c.getDeclaredMethods())
        if ((m.getModifiers() & Modifier.STATIC) != 0) {
          m.setAccessible(true);
          multiMapPut(callMC_cache, m.getName(), m);
        }
      c = c.getSuperclass();
    }
  }
}
  static Object call(Object o) {
    return callFunction(o);
  }
  
  // varargs assignment fixer for a single string array argument
  static Object call(Object o, String method, String[] arg) {
    return call(o, method, new Object[] {arg});
  }
  
  static Object call(Object o, String method, Object... args) {
    try {
      if (o instanceof Class) {
        Method m = call_findStaticMethod((Class) o, method, args, false);
        m.setAccessible(true);
        return m.invoke(null, args);
      } else {
        Method m = call_findMethod(o, method, args, false);
        m.setAccessible(true);
        return m.invoke(o, args);
      }
    } catch (Exception e) {
      throw e instanceof RuntimeException ? (RuntimeException) e : new RuntimeException(e);
    }
  }

  static Method call_findStaticMethod(Class c, String method, Object[] args, boolean debug) {
    Class _c = c;
    while (c != null) {
      for (Method m : c.getDeclaredMethods()) {
        if (debug)
          System.out.println("Checking method " + m.getName() + " with " + m.getParameterTypes().length + " parameters");;
        if (!m.getName().equals(method)) {
          if (debug) System.out.println("Method name mismatch: " + method);
          continue;
        }

        if ((m.getModifiers() & Modifier.STATIC) == 0 || !call_checkArgs(m, args, debug))
          continue;

        return m;
      }
      c = c.getSuperclass();
    }
    throw new RuntimeException("Method '" + method + "' (static) with " + args.length + " parameter(s) not found in " + _c.getName());
  }

  static Method call_findMethod(Object o, String method, Object[] args, boolean debug) {
    Class c = o.getClass();
    while (c != null) {
      for (Method m : c.getDeclaredMethods()) {
        if (debug)
          System.out.println("Checking method " + m.getName() + " with " + m.getParameterTypes().length + " parameters");;
        if (m.getName().equals(method) && call_checkArgs(m, args, debug))
          return m;
      }
      c = c.getSuperclass();
    }
    throw new RuntimeException("Method '" + method + "' (non-static) with " + args.length + " parameter(s) not found in " + o.getClass().getName());
  }

  private static boolean call_checkArgs(Method m, Object[] args, boolean debug) {
    Class<?>[] types = m.getParameterTypes();
    if (types.length != args.length) {
      if (debug)
        System.out.println("Bad parameter length: " + args.length + " vs " + types.length);
      return false;
    }
    for (int i = 0; i < types.length; i++)
      if (!(args[i] == null || isInstanceX(types[i], args[i]))) {
        if (debug)
          System.out.println("Bad parameter " + i + ": " + args[i] + " vs " + types[i]);
        return false;
      }
    return true;
  }




static Object mc() {
  return getMainClass();
}
static <A, B> void multiMapPut(Map<A, List<B>> map, A a, B b) {
  List<B> l = map.get(a);
  if (l == null)
    map.put(a, l = new ArrayList());
  l.add(b);
}
// extended over Class.isInstance() to handle primitive types
static boolean isInstanceX(Class type, Object arg) {
  if (type == boolean.class) return arg instanceof Boolean;
  if (type == int.class) return arg instanceof Integer;
  if (type == long.class) return arg instanceof Long;
  if (type == float.class) return arg instanceof Float;
  if (type == short.class) return arg instanceof Short;
  if (type == char.class) return arg instanceof Character;
  if (type == byte.class) return arg instanceof Byte;
  if (type == double.class) return arg instanceof Double;
  return type.isInstance(arg);
}


static Class getMainClass() {
  return main.class;
}

static Class getMainClass(Object o) { try {
  return (o instanceof Class ? (Class) o : o.getClass()).getClassLoader().loadClass("main");
} catch (Exception __e) { throw rethrow(__e); } }


static abstract class F1<A, B> {
  abstract B get(A a);
}

static class Var<A> {
  A v; // you can access this directly if you use one thread
  
  Var() {}
  Var(A v) {
  this.v = v;}
  
  synchronized void set(A a) {
    if (v != a) {
      v = a;
      notifyAll();
    }
  }
  
  synchronized A get() { return v; }
  synchronized boolean has() { return v != null; }
  synchronized void clear() { v = null; }
}

static RuntimeException rethrow(Throwable e) {
  throw asRuntimeException(e);
}
static Throwable printStackTrace2(Throwable e) {
  // we go to system.out now - system.err is nonsense
  print(getStackTrace2(e));
  return e;
}

static void printStackTrace2() {
  printStackTrace2(new Throwable());
}

static void printStackTrace2(String msg) {
  printStackTrace2(new Throwable(msg));
}

/*static void printStackTrace2(S indent, Throwable e) {
  if (endsWithLetter(indent)) indent += " ";
  printIndent(indent, getStackTrace2(e));
}*/


static String getStackTrace2(Throwable throwable) {
  return getStackTrace(throwable) + replacePrefix("java.lang.RuntimeException: ", "FAIL: ",
    str(getInnerException(throwable))) + "\n";
}


static String replacePrefix(String prefix, String replacement, String s) {
  if (!startsWith(s, prefix)) return s;
  return replacement + substring(s, l(prefix));
}
static Throwable getInnerException(Throwable e) {
  while (e.getCause() != null)
    e = e.getCause();
  return e;
}
static String getStackTrace(Throwable throwable) {
  StringWriter writer = new StringWriter();
  throwable.printStackTrace(new PrintWriter(writer));
  return writer.toString();
}


static boolean startsWith(String a, String b) {
  return a != null && a.startsWith(b);
}



static boolean startsWith(List a, List b) {
  if (a == null || l(b) > l(a)) return false;
  for (int i = 0; i < l(b); i++)
    if (neq(a.get(i), b.get(i)))
      return false;
  return true;
}




static boolean neq(Object a, Object b) {
  return !eq(a, b);
}

}