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.*;
import java.text.NumberFormat;

class main {

static String too_transformInput(String input, IVF1<TransformersOnObjects> code) {
  // make too, load input
  TransformersOnObjects too = new TransformersOnObjects();
  too.add(new Input(input));
  
  // run user code
  code.get(too);

  // return first transformed input
  return too_thinkAndReturnFirstTransformedInput(too);
}
static String too_thinkAndReturnFirstTransformedInput(TransformersOnObjects too) {
  TransformedInput i = too_thinkAndReturnFirstObjectOfType(TransformedInput.class, too);
  return i == null ? null : (String) i.a;
}


static <A> A too_thinkAndReturnFirstObjectOfType(Class<A> type, TransformersOnObjects too) {
  return withDeepReturn(returnSite -> {
    // return first transformed input
    too.addTransformer(new F1<Object, Object>() { public Object get(Object o) { try { 
      if (isInstance(type, o))
        deepReturn(returnSite, (A) o);
      return null;
     } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "if (isInstance(type, o))\r\n        deepReturn(returnSite, (A) o);\r\n      null;"; }});
    too.think();
  });
}


static <A> A withDeepReturn(IVF1<DeepReturnSite<A>> r) {
   DeepReturnSite<A> site = new DeepReturnSite(); try {
  try {
    r.get(site);
  } catch (Throwable e) {
    e = innerException(e);
    if (e instanceof DeepReturn && ((DeepReturn) e).site == site)
      return site.get();
    else
      rethrow(e);
  }
  return null;
} finally { _close(site); }}
static boolean isInstance(Class type, Object arg) {
  return type.isInstance(arg);
}
static <A> RuntimeException deepReturn(DeepReturnSite<A> site, A value) {
  if (site.closed) throw fail("deep return site is out of scope");
  site.set(value);
  throw new DeepReturn(site);
}
static RuntimeException rethrow(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  throw t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}

static RuntimeException rethrow(String msg, Throwable t) {
  throw new RuntimeException(msg, t);
}


static Throwable innerException(Throwable e) {
  return getInnerException(e);
}
static void _close(AutoCloseable c) {
  if (c != null) try {
    c.close();
  } catch (Throwable e) {
    // Some classes stupidly throw an exception on double-closing
    if (c instanceof javax.imageio.stream.ImageOutputStream)
      return;
    else throw rethrow(e);
  }
}
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(msg == null ? "" : msg); }
static RuntimeException fail(String msg, Throwable innerException) { throw new RuntimeException(msg, innerException); }

static void _handleError(Error e) {
  call(javax(), "_handleError", e);
}


static Throwable getInnerException(Throwable e) {
  if (e == null) return null;
  while (e.getCause() != null)
    e = e.getCause();
  return e;
}

static Throwable getInnerException(Runnable r) {
  return getInnerException(getException(r));
}
static RuntimeException asRuntimeException(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static Object call(Object o) {
  return callF(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) {
  //ret call_cached(o, method, args);
  return call_withVarargs(o, method, args);
}
static Class javax() {
  return getJavaX();
}


static Throwable getException(Runnable r) {
  try {
    callF(r);
    return null;
  } catch (Throwable e) {
    return e;
  }
}
static Map<Class, ArrayList<Method>> callF_cache = newDangerousWeakHashMap();


  static <A> A callF(F0<A> f) {
    return f == null ? null : f.get();
  }



  static <A, B> B callF(F1<A, B> f, A a) {
    return f == null ? null : f.get(a);
  }



  static <A> A callF(IF0<A> f) {
    return f == null ? null : f.get();
  }



  static <A, B> B callF(IF1<A, B> f, A a) {
    return f == null ? null : f.get(a);
  }



  static <A, B, C> C callF(F2<A, B, C> f, A a, B b) {
    return f == null ? null : f.get(a, b);
  }



  static <A, B, C> C callF(IF2<A, B, C> f, A a, B b) {
    return f == null ? null : f.get(a, b);
  }



  static <A> void callF(VF1<A> f, A a) {
    if (f != null) f.get(a);
  }


static Object callF(Object f, Object... args) { try {
  if (f instanceof String)
    return callMCWithVarArgs((String) f, args); // possible SLOWDOWN over callMC
  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 invokeMethod(methods.get(0), f, args);
  for (int i = 0; i < n; i++) {
    Method m = methods.get(i);
    if (call_checkArgs(m, args, false))
      return invokeMethod(m, 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")) {
        makeAccessible(m);
        l.add(m);
      }
    if (!l.isEmpty()) break;
    _c = _c.getSuperclass();
  } while (_c != null);
  callF_cache.put(c, l);
  return l;
}
static Object call_withVarargs(Object o, String method, Object... args) { try {
  if (o == null) return null;
  
  if (o instanceof Class) {
    Class c = (Class) o;
    _MethodCache cache = callOpt_getCache(c);
    
    Method me = cache.findStaticMethod(method, args);
    if (me != null)
      return invokeMethod(me, null, args);
      
    // try varargs
    List<Method> methods = cache.cache.get(method);
    if (methods != null) methodSearch: for (Method m : methods) {
      { if (!(m.isVarArgs())) continue; }
      { if (!(isStaticMethod(m))) continue; }
      Object[] newArgs = massageArgsForVarArgsCall(m, args);
      if (newArgs != null)
        return invokeMethod(m, null, newArgs);
    }
    
    throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found");
  } else {
    Class c = o.getClass();
    _MethodCache cache = callOpt_getCache(c);

    Method me = cache.findMethod(method, args);
    if (me != null)
      return invokeMethod(me, o, args);
      
    // try varargs
    List<Method> methods = cache.cache.get(method);
    if (methods != null) methodSearch: for (Method m : methods) {
      { if (!(m.isVarArgs())) continue; }
      Object[] newArgs = massageArgsForVarArgsCall(m, args);
      if (newArgs != null)
        return invokeMethod(m, o, newArgs);
    }
    
    throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found");
  }
} catch (Exception __e) { throw rethrow(__e); } }
static Class __javax;

static Class getJavaX() { try {
  
  return __javax;
} catch (Exception __e) { throw rethrow(__e); } }


static <A, B> Map<A, B> newDangerousWeakHashMap() {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()));
}

// initFunction: voidfunc(Map) - is called initially, and after clearing the map
static <A, B> Map<A, B> newDangerousWeakHashMap(Object initFunction) {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()), initFunction);
}
static Object callMCWithVarArgs(String method, Object... args) {
  return call_withVarargs(mc(), method, args);
}
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(short[] a) { return a == null ? 0 : a.length; }
static int l(long[] 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(double[] 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(Iterator i) { return iteratorCount_int_close(i); } // consumes the iterator && closes it if possible

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 == null ? 0
    : o instanceof String ? l((String) o)
    : o instanceof Map ? l((Map) o)
    : o instanceof Collection ? l((Collection) o)
    : o instanceof Object[] ? l((Object[]) o)
    : o instanceof boolean[] ? l((boolean[]) o)
    : o instanceof byte[] ? l((byte[]) o)
    : o instanceof char[] ? l((char[]) o)
    : o instanceof short[] ? l((short[]) o)
    : o instanceof int[] ? l((int[]) o)
    : o instanceof float[] ? l((float[]) o)
    : o instanceof double[] ? l((double[]) o)
    : o instanceof long[] ? l((long[]) o)
    : (Integer) call(o, "size");
}







  static int l(IntRange r) { return r == null ? 0 : r.length(); }



static String getClassName(Object o) {
  return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
static Object invokeMethod(Method m, Object o, Object... args) { try {
  try {
    return m.invoke(o, args);
  } catch (InvocationTargetException e) {
    throw rethrow(getExceptionCause(e));
  } catch (IllegalArgumentException e) {
    throw new IllegalArgumentException(e.getMessage() + " - was calling: " + m + ", args: " + joinWithSpace(classNames(args)));
  }
} catch (Exception __e) { throw rethrow(__e); } }
static boolean call_checkArgs(Method m, Object[] args, boolean debug) {
  Class<?>[] types = m.getParameterTypes();
  if (types.length != args.length) {
    if (debug)
      print("Bad parameter length: " + args.length + " vs " + types.length);
    return false;
  }
  for (int i = 0; i < types.length; i++) {
    Object arg = args[i];
    if (!(arg == null ? !types[i].isPrimitive()
      : isInstanceX(types[i], arg))) {
      if (debug)
        print("Bad parameter " + i + ": " + arg + " vs " + types[i]);
      return false;
    }
  }
  return true;
}
static Field makeAccessible(Field f) {
  try {
    f.setAccessible(true);
  } catch (Throwable e) {
    // Note: The error reporting only works with Java VM option --illegal-access=deny
    
    vmBus_send("makeAccessible_error",e, f);
    
  }
  return f;
}

static Method makeAccessible(Method m) {
  try {
    m.setAccessible(true);
  } catch (Throwable e) {
    
    vmBus_send("makeAccessible_error",e, m);
    
  }
  return m;
}

static Constructor makeAccessible(Constructor c) {
  try {
    c.setAccessible(true);
  } catch (Throwable e) {
    
    vmBus_send("makeAccessible_error",e, c);
    
  }
  return c;
}
static final Map<Class, _MethodCache> callOpt_cache = newDangerousWeakHashMap();

static Object callOpt_cached(Object o, String methodName, Object... args) { try {
  if (o == null) return null;
  
  if (o instanceof Class) {
    Class c = (Class) o;
    _MethodCache cache = callOpt_getCache(c);
    
    // TODO: (super-rare) case where method exists static and non-static
    // with different args
    
    Method me = cache.findMethod(methodName, args);
    if (me == null || (me.getModifiers() & Modifier.STATIC) == 0) return null;
    return invokeMethod(me, null, args);
  } else {
    Class c = o.getClass();
    _MethodCache cache = callOpt_getCache(c);

    Method me = cache.findMethod(methodName, args);
    if (me == null) return null;
    return invokeMethod(me, o, args);
  }
} catch (Exception __e) { throw rethrow(__e); } }

static _MethodCache callOpt_getCache(Class c) {
  synchronized(callOpt_cache) {
    _MethodCache cache = callOpt_cache.get(c);
    if (cache == null)
      callOpt_cache.put(c, cache = new _MethodCache(c));
    return cache;
  }
}
static boolean isStaticMethod(Method m) {
  return methodIsStatic(m);
}
static Object[] massageArgsForVarArgsCall(Method m, Object[] args) {
  Class<?>[] types = m.getParameterTypes();
  int n = types.length-1, nArgs = args.length;
  if (nArgs < n) return null;
  for (int i = 0; i < n; i++)
    if (!argumentCompatibleWithType(args[i], types[i]))
      return null;
  Class varArgType = types[n].getComponentType();
  for (int i = n; i < nArgs; i++)
    if (!argumentCompatibleWithType(args[i], varArgType))
      return null;
  Object[] newArgs = new Object[n+1];
  arraycopy(args, 0, newArgs, 0, n);
  Object[] varArgs = arrayOfType(varArgType, nArgs-n);
  arraycopy(args, n, varArgs, 0, nArgs-n);
  newArgs[n] = varArgs;
  return newArgs;
}
static <A> String joinWithComma(Collection<A> c) {
  return join(", ", c);
}

static String joinWithComma(String... c) {
  return join(", ", c);
}


static String joinWithComma(Pair p) {
  return p == null ? "" : joinWithComma(str(p.a), str(p.b));
}

static List<String> classNames(Collection l) {
  return getClassNames(l);
}

static List<String> classNames(Object[] l) {
  return getClassNames(Arrays.asList(l));
}


static List<Pair> _registerDangerousWeakMap_preList;

static <A> A _registerDangerousWeakMap(A map) {
  return _registerDangerousWeakMap(map, null);
}

static <A> A _registerDangerousWeakMap(A map, Object init) {
  
  callF(init, map);
  
  if (init instanceof String) {
    final String f =  (String) init;
    init = new VF1<Map>() { public void get(Map map) { try {  callMC(f, map) ; } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "callMC(f, map)"; }};
  }
    
  if (javax() == null) {
    // We're in class init
    if (_registerDangerousWeakMap_preList == null) _registerDangerousWeakMap_preList = synchroList();
    _registerDangerousWeakMap_preList.add(pair(map, init));
    return map;
  }
  
  call(javax(), "_registerDangerousWeakMap", map, init);
  
  return map;
}

static void _onLoad_registerDangerousWeakMap() {
  
  assertNotNull(javax());
  if (_registerDangerousWeakMap_preList == null) return;
  for (Pair p : _registerDangerousWeakMap_preList)
    _registerDangerousWeakMap(p.a, p.b);
  _registerDangerousWeakMap_preList = null;
  
}
static Map synchroMap() {
  return synchroHashMap();
}

static <A, B> Map<A, B> synchroMap(Map<A, B> map) {
  return Collections.synchronizedMap(map);
}
static Class mc() {
  return main.class;
}
static <A> int iteratorCount_int_close(Iterator<A> i) { try {
  int n = 0;
  if (i != null) while (i.hasNext()) { i.next(); ++n; }
  if (i instanceof AutoCloseable) ((AutoCloseable) i).close();
  return n;
} catch (Exception __e) { throw rethrow(__e); } }
static Throwable getExceptionCause(Throwable e) {
  Throwable c = e.getCause();
  return c != null ? c : e;
}
static String joinWithSpace(Iterable c) {
  return join(" ", c);
}

static String joinWithSpace(String... c) {
  return join(" ", c);
}

static volatile StringBuffer local_log = new StringBuffer(); // not redirected


static volatile Appendable 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 boolean print_silent = false; // total mute if set

static Object print_byThread_lock = new Object();
static volatile ThreadLocal<Object> print_byThread; // special handling by thread - prefers F1<S, Bool>
static volatile Object print_allThreads;
static volatile Object print_preprocess;

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

static <A> A print(String s, A o) {
  print((endsWithLetterOrDigit(s) ? s + ": " : s) + o);
  return o;
}

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

static void print_noNewLine(String s) {
  
  Object f = getThreadLocal(print_byThread_dontCreate());
  if (f == null) f = print_allThreads;
  if (f != null)
    // We do need the general callF machinery here as print_byThread is sometimes shared between modules
    if (isFalse(
      
        f instanceof F1 ? ((F1) f).get(s) :
      
      callF(f, s))) return;
  

  print_raw(s);
}

static void print_raw(String s) {
  
  if (print_preprocess != null) s = (String) callF(print_preprocess, s);
  s = fixNewLines(s);
  
  Appendable loc = local_log;
  Appendable 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_autoRotate() {
  
}
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 void vmBus_send(String msg, Object... args) {
  Object arg = vmBus_wrapArgs(args);
  pcallFAll(vm_busListeners_live(), msg, arg);
  pcallFAll(vm_busListenersByMessage_live().get(msg), msg, arg);
}

static void vmBus_send(String msg) {
  vmBus_send(msg, (Object) null);
}
static boolean methodIsStatic(Method m) {
  return (m.getModifiers() & Modifier.STATIC) != 0;
}
static boolean argumentCompatibleWithType(Object arg, Class type) {
  return arg == null ? !type.isPrimitive() : isInstanceX(type, arg);
}
static void arraycopy(Object[] a, Object[] b) {
  if (a != null && b != null)
    arraycopy(a, 0, b, 0, min(a.length, b.length));
}

static void arraycopy(Object src, int srcPos, Object dest, int destPos, int n) {
  if (n != 0)
    System.arraycopy(src, srcPos, dest, destPos, n);
}
static <A> A[] arrayOfType(Class<A> type, int n) {
  return makeArray(type, n);
}

static <A> A[] arrayOfType(int n, Class<A> type) {
  return arrayOfType(type, n);
}
public static <A> String join(String glue, Iterable<A> strings) {
  if (strings == null) return "";
  if (strings instanceof Collection) {
    if (((Collection) strings).size() == 1) return str(first(((Collection) strings)));
  }
  StringBuilder buf = new StringBuilder();
  Iterator<A> i = strings.iterator();
  if (i.hasNext()) {
    buf.append(i.next());
    while (i.hasNext())
      buf.append(glue).append(i.next());
  }
  return buf.toString();
}

public static String join(String glue, String... strings) {
  return join(glue, Arrays.asList(strings));
}

static <A> String join(Iterable<A> strings) {
  return join("", strings);
}

static <A> String join(Iterable<A> strings, String glue) {
  return join(glue, strings);
}

public static String join(String[] strings) {
  return join("", strings);
}


static String join(String glue, Pair p) {
  return p == null ? "" : str(p.a) + glue + str(p.b);
}

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

static String str(char[] c) {
  return new String(c);
}
static List<String> getClassNames(Collection l) {
  List<String> out = new ArrayList();
  if (l != null) for (Object o : l)
    out.add(o == null ? null : getClassName(o));
  return out;
}


static AutoCloseable tempInterceptPrintIfNotIntercepted(F1<String, Boolean> f) {
  return print_byThread().get() == null ? tempInterceptPrint(f) : null;
}
static 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;
  if (callMC_cache == null) callMC_cache = new HashMap(); // initializer time workaround
  synchronized(callMC_cache) {
    me = method == callMC_key ? callMC_value : null;
  }
  if (me != null) try {
    return invokeMethod(me, null, args);
  } catch (IllegalArgumentException e) {
    throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
  }

  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;
    }
    try {
      return invokeMethod(me, null, args);
    } catch (IllegalArgumentException e) {
      throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
    }
  }
  for (int i = 0; i < n; i++) {
    me = m.get(i);
    if (call_checkArgs(me, args, false))
      return invokeMethod(me, null, args);
  }
  throw fail("No method called " + method + " with arguments (" + joinWithComma(getClasses(args)) + ") 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() & java.lang.reflect.Modifier.STATIC) != 0) {
          makeAccessible(m);
          multiMapPut(callMC_cache, m.getName(), m);
        }
      c = c.getSuperclass();
    }
  }
}
static <A> List<A> synchroList() {
  return Collections.synchronizedList(new ArrayList<A>());
}

static <A> List<A> synchroList(List<A> l) {
  return Collections.synchronizedList(l);
}

static <A, B> Pair<A, B> pair(A a, B b) {
  return new Pair(a, b);
}

static <A> Pair<A, A> pair(A a) {
  return new Pair(a, a);
}
static <A> A assertNotNull(A a) {
  assertTrue(a != null);
  return a;
}

static <A> A assertNotNull(String msg, A a) {
  assertTrue(msg, a != null);
  return a;
}
static Map synchroHashMap() {
  return Collections.synchronizedMap(new HashMap());
}

static boolean endsWithLetterOrDigit(String s) {
  return s != null && s.length() > 0 && Character.isLetterOrDigit(s.charAt(s.length()-1));
}
static void ping_okInCleanUp() {

  if (ping_pauseAll || ping_anyActions)
    ping_impl(true);

}
// this syntax should be removed...
static Object getThreadLocal(Object o, String name) {
  ThreadLocal t =  (ThreadLocal) (getOpt(o, name));
  return t != null ? t.get() : null;
}

static <A> A getThreadLocal(ThreadLocal<A> tl) {
  return tl == null ? null : tl.get();
}

static <A> A getThreadLocal(ThreadLocal<A> tl, A defaultValue) {
  return or(getThreadLocal(tl), defaultValue);
}
static ThreadLocal<Object> print_byThread_dontCreate() {
  return print_byThread;
}
static boolean isFalse(Object o) {
  return eq(false, o);
}
static String fixNewLines(String s) {
  int i = indexOf(s, '\r');
  if (i < 0) return s;
  int l = s.length();
  StringBuilder out = new StringBuilder(l);
  out.append(s, 0, i);
  for (; i < l; i++) {
    char c = s.charAt(i);
    if (c != '\r')
      out.append(c);
    else {
      out.append('\n');
      if (i+1 < l && s.charAt(i+1) == '\n') ++i;
    }
  }
  return out.toString();
}
static void print_append(Appendable buf, String s, int max) { try {
  synchronized(buf) {
    buf.append(s);
    if (buf instanceof StringBuffer)
      rotateStringBuffer(((StringBuffer) buf), max);
    else if (buf instanceof StringBuilder)
      rotateStringBuilder(((StringBuilder) buf), max);
  }
} catch (Exception __e) { throw rethrow(__e); } }
static Object vmBus_wrapArgs(Object... args) {
  return empty(args) ? null
    : l(args) == 1 ? args[0]
    : args;
}
static void pcallFAll(Collection l, Object... args) {
  if (l != null) for (Object f : cloneList(l)) pcallF(f, args);
}

static void pcallFAll(Iterator it, Object... args) {
  while (it.hasNext()) pcallF(it.next(), args);
}
static Set vm_busListeners_live_cache;
static Set vm_busListeners_live() { if (vm_busListeners_live_cache == null) vm_busListeners_live_cache = vm_busListeners_live_load(); return vm_busListeners_live_cache; }

static Set vm_busListeners_live_load() {
  return vm_generalIdentityHashSet("busListeners");
}
static Map<String, Set> vm_busListenersByMessage_live_cache;
static Map<String, Set> vm_busListenersByMessage_live() { if (vm_busListenersByMessage_live_cache == null) vm_busListenersByMessage_live_cache = vm_busListenersByMessage_live_load(); return vm_busListenersByMessage_live_cache; }

static Map<String, Set> vm_busListenersByMessage_live_load() {
  return vm_generalHashMap("busListenersByMessage");
}
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 min(int[] c) {
  int x = Integer.MAX_VALUE;
  for (int d : c) if (d < x) x = d;
  return x;
}
static <A> A[] makeArray(Class<A> type, int n) {
  return (A[]) Array.newInstance(type, n);
}

static Object first(Object list) {
  return first((Iterable) list);
}


static <A> A first(List<A> list) {
  return empty(list) ? null : list.get(0);
}

static <A> A first(A[] bla) {
  return bla == null || bla.length == 0 ? null : bla[0];
}


static <A> A first(IterableIterator<A> i) {
  return first((Iterator<A>) i);
}


static <A> A first(Iterator<A> i) {
  return i == null || !i.hasNext() ? null : i.next();
}

static <A> A first(Iterable<A> i) {
  if (i == null) return null;
  Iterator<A> it = i.iterator();
  return it.hasNext() ? it.next() : null;
}

static Character first(String s) { return empty(s) ? null : s.charAt(0); }


static <A, B> A first(Pair<A, B> p) {
  return p == null ? null : p.a;
}




static Byte first(byte[] l) { 
  return empty(l) ? null : l[0];
}


static ThreadLocal<Object> print_byThread() {
  synchronized(print_byThread_lock) {
    if (print_byThread == null)
      print_byThread = new ThreadLocal();
  }
  return print_byThread;
}
// f can return false to suppress regular printing
// call print_raw within f to actually print something
static AutoCloseable tempInterceptPrint(F1<String, Boolean> f) {
  return tempSetThreadLocal(print_byThread(), f);
}
static List<Class> getClasses(Object[] array) {
  List<Class> l = emptyList(l(array));
  for (Object o : array) l.add(_getClass(o));
  return l;
}
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);
}


static void assertTrue(Object o) {
  if (!(eq(o, true) /*|| isTrue(pcallF(o))*/))
    throw fail(str(o));
}
  
static boolean assertTrue(String msg, boolean b) {
  if (!b)
    throw fail(msg);
  return b;
}

static boolean assertTrue(boolean b) {
  if (!b)
    throw fail("oops");
  return b;
}



//sbool ping_actions_shareable = true;
static volatile boolean ping_pauseAll = false;
static int ping_sleep = 100; // poll pauseAll flag every 100
static volatile boolean ping_anyActions = false;
static Map<Thread, Object> ping_actions = newWeakHashMap();
static ThreadLocal<Boolean> ping_isCleanUpThread = new ThreadLocal();

// always returns true
static boolean ping() {
  if (ping_pauseAll || ping_anyActions) ping_impl(true /* XXX */);
  //ifndef LeanMode ping_impl(); endifndef
  return true;
}

// returns true when it slept
static boolean ping_impl(boolean okInCleanUp) { try {
  if (ping_pauseAll && !isAWTThread()) {
    do
      Thread.sleep(ping_sleep);
    while (ping_pauseAll);
    return true;
  }
  
  if (ping_anyActions) { // don't allow sharing ping_actions
    if (!okInCleanUp && !isTrue(ping_isCleanUpThread.get()))
      failIfUnlicensed();
    Object action = null;
    synchronized(ping_actions) {
      if (!ping_actions.isEmpty()) {
        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); } }

static Object getOpt(Object o, String field) {
  return getOpt_cached(o, field);
}

static Object getOpt(String field, Object o) {
  return getOpt_cached(o, field);
}

static Object getOpt_raw(Object o, String field) { try {
  Field f = getOpt_findField(o.getClass(), field);
  if (f == null) return null;
  makeAccessible(f);
  return f.get(o);
} catch (Exception __e) { throw rethrow(__e); } }

// access of static fields is not yet optimized
static Object getOpt(Class c, String field) { try {
  if (c == null) return null;
  Field f = getOpt_findStaticField(c, field);
  if (f == null) return null;
  makeAccessible(f);
  return f.get(null);
} catch (Exception __e) { throw rethrow(__e); } }

static Field getOpt_findStaticField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field) && (f.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0)
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  return null;
}

static <A> A or(A a, A b) {
  return a != null ? a : b;
}
static boolean eq(Object a, Object b) {
  return a == b || a != null && b != null && a.equals(b);
}


static <A> int indexOf(List<A> l, A a, int startIndex) {
  if (l == null) return -1;
  int n = l(l);
  for (int i = startIndex; i < n; i++)
    if (eq(l.get(i), a))
      return i;
  return -1;
}

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

static <A> int indexOf(List<A> l, A a) {
  if (l == null) return -1;
  return l.indexOf(a);
}

static int indexOf(String a, String b) {
  return a == null || b == null ? -1 : a.indexOf(b);
}

static int indexOf(String a, String b, int i) {
  return a == null || b == null ? -1 : a.indexOf(b, i);
}

static int indexOf(String a, char b) {
  return a == null ? -1 : a.indexOf(b);
}

static int indexOf(String a, int i, char b) {
  return indexOf(a, b, i);
}

static int indexOf(String a, char b, int i) {
  return a == null ? -1 : a.indexOf(b, i);
}

static int indexOf(String a, int i, String b) {
  return a == null || b == null ? -1 : a.indexOf(b, i);
}

static <A> int indexOf(A[] x, A a) {
  int n = l(x);
  for (int i = 0; i < n; i++)
    if (eq(x[i], a))
      return i;
  return -1;
}
static void rotateStringBuffer(StringBuffer buf, int max) { try {
  if (buf == null) return;
  synchronized(buf) {
    if (buf.length() <= max) return;
    
    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);
    }
    buf.trimToSize();
  }
} catch (Exception __e) { throw rethrow(__e); } }
static void rotateStringBuilder(StringBuilder buf, int max) { try {
  if (buf == null) return;
  synchronized(buf) {
    if (buf.length() <= max) return;
    
    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);
    }
    buf.trimToSize();
  }
} catch (Exception __e) { throw rethrow(__e); } }
static boolean empty(Collection c) { return c == null || c.isEmpty(); }
static boolean empty(CharSequence 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);
  if (o instanceof byte[]) return empty((byte[]) o);
  if (o == null) return true;
  throw fail("unknown type for 'empty': " + getType(o));
}

static boolean empty(Iterator i) { return i == null || !i.hasNext(); }

static boolean empty(double[] a) { return a == null || a.length == 0; }
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 boolean empty(byte[] a) { return a == null || a.length == 0; }
static boolean empty(short[] a) { return a == null || a.length == 0; }





static boolean empty(File f) { return getFileSize(f) == 0; }


static boolean empty(IntRange r) { return r == null || r.empty(); }

static <A> ArrayList<A> cloneList(Iterable<A> l) {
  return l instanceof Collection ? cloneList((Collection) l) : asList(l);
}

static <A> ArrayList<A> cloneList(Collection<A> l) {
  if (l == null) return new ArrayList();
  synchronized(collectionMutex(l)) {
    return new ArrayList<A>(l);
  }
}
static Object pcallF(Object f, Object... args) {
  return pcallFunction(f, args);
}


static <A> A pcallF(F0<A> f) { try {
  return f == null ? null : f.get();
} catch (Throwable __e) { return null; } }



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 <A> void pcallF(VF1<A> f, A a) {
  try {
    if (f != null) f.get(a);
  } catch (Throwable __e) { _handleException(__e); }
}

static Set vm_generalIdentityHashSet(Object name) {
  synchronized(get(javax(), "generalMap")) {
    Set set =  (Set) (vm_generalMap_get(name));
    if (set == null)
      vm_generalMap_put(name, set = syncIdentityHashSet());
    return set;
  }
}

static Map vm_generalHashMap(Object name) {
  synchronized(get(javax(), "generalMap")) {
    Map m =  (Map) (vm_generalMap_get(name));
    if (m == null)
      vm_generalMap_put(name, m = syncHashMap());
    return m;
  }
}



static <A> AutoCloseable tempSetThreadLocal(final ThreadLocal<A> tl, A a) {
  if (tl == null) return null;
  final A prev = setThreadLocal(tl, a);
  return new AutoCloseable() { public String toString() { return "tl.set(prev);"; } public void close() throws Exception { tl.set(prev); }};
}
static ArrayList emptyList() {
  return new ArrayList();
  //ret Collections.emptyList();
}

static ArrayList emptyList(int capacity) {
  return new ArrayList(max(0, capacity));
}

// Try to match capacity
static ArrayList emptyList(Iterable l) {
  return l instanceof Collection ? emptyList(((Collection) l).size()) : emptyList();
}

static ArrayList emptyList(Object[] l) {
  return emptyList(l(l));
}

// get correct type at once
static <A> ArrayList<A> emptyList(Class<A> c) {
  return new ArrayList();
}
static Class<?> _getClass(String name) {
  try {
    return Class.forName(name);
  } catch (ClassNotFoundException e) {
    return null; // could optimize this
  }
}

static Class _getClass(Object o) {
  return o == null ? null
    : o instanceof Class ? (Class) o : o.getClass();
}

static Class _getClass(Object realm, String name) {
  try {
    return getClass(realm).getClassLoader().loadClass(classNameToVM(name));
  } catch (ClassNotFoundException e) {
    return null; // could optimize this
  }
}
static <A, B> Map<A, B> newWeakHashMap() {
  return _registerWeakMap(synchroMap(new WeakHashMap()));
}
// 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 boolean isTrue(Object o) {
  if (o instanceof Boolean)
    return ((Boolean) o).booleanValue();
  if (o == null) return false;
  if (o instanceof ThreadLocal) // TODO: remove this
    return isTrue(((ThreadLocal) o).get());
  throw fail(getClassName(o));
}
static void failIfUnlicensed() {
  assertTrue("license off", licensed());
}
static Thread currentThread() {
  return Thread.currentThread();
}
//static final Map<Class, HashMap<S, Field>> getOpt_cache = newDangerousWeakHashMap(f getOpt_special_init);

static class getOpt_Map extends WeakHashMap {
  getOpt_Map() {
    if (getOpt_special == null) getOpt_special = new HashMap();
    clear();
  }
  
  public void clear() {
    super.clear();
    //print("getOpt clear");
    put(Class.class, getOpt_special);
    put(String.class, getOpt_special);
  }
}

static final Map<Class, HashMap<String, Field>> getOpt_cache = _registerDangerousWeakMap(synchroMap(new getOpt_Map()));
//static final Map<Class, HashMap<S, Field>> getOpt_cache = _registerWeakMap(synchroMap(new getOpt_Map));
static HashMap getOpt_special; // just a marker

/*static void getOpt_special_init(Map map) {
  map.put(Class.class, getOpt_special);
  map.put(S.class, getOpt_special);
}*/

static Object getOpt_cached(Object o, String field) { try {
  if (o == null) return null;

  Class c = o.getClass();
  HashMap<String, Field> map;
  synchronized(getOpt_cache) {
    map = getOpt_cache.get(c);
    if (map == null)
      map = getOpt_makeCache(c);
  }
  
  if (map == getOpt_special) {
    if (o instanceof Class)
      return getOpt((Class) o, field);
    /*if (o instanceof S)
      ret getOpt(getBot((S) o), field);*/
    if (o instanceof Map)
      return ((Map) o).get(field);
  }
    
  Field f = map.get(field);
  if (f != null) return f.get(o);
  
    if (o instanceof DynamicObject)
      return mapGet2(((DynamicObject) o).fieldValues, field);
  
  return null;
} catch (Exception __e) { throw rethrow(__e); } }

// used internally - we are in synchronized block
static HashMap<String, Field> getOpt_makeCache(Class c) {
  HashMap<String, Field> map;
  if (isSubtypeOf(c, Map.class))
    map = getOpt_special;
  else {
    map = new HashMap();
    if (!reflection_classesNotToScan().contains(c.getName())) {
      Class _c = c;
      do {
        for (Field f : _c.getDeclaredFields()) {
          makeAccessible(f);
          String name = f.getName();
          if (!map.containsKey(name))
            map.put(name, f);
        }
        _c = _c.getSuperclass();
      } while (_c != null);
    }
  }
  if (getOpt_cache != null) getOpt_cache.put(c, map);
  return map;
}
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 String getType(Object o) {
  return getClassName(o);
}
static long getFileSize(String path) {
  return path == null ? 0 : new File(path).length();
}

static long getFileSize(File f) {
  return f == null ? 0 : f.length();
}
// unclear semantics as to whether return null on null

static <A> ArrayList<A> asList(A[] a) {
  return a == null ? new ArrayList<A>() : new ArrayList<A>(Arrays.asList(a));
}

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

static ArrayList<Float> asList(float[] a) {
  if (a == null) return null;
  ArrayList<Float> l = emptyList(a.length);
  for (float i : a) l.add(i);
  return l;
}

static ArrayList<Double> asList(double[] a) {
  if (a == null) return null;
  ArrayList<Double> l = emptyList(a.length);
  for (double 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(Producer<A> p) {
  ArrayList l = new ArrayList();
  A a;
  if (p != null) while ((a = p.next()) != null)
    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 Object collectionMutex(List l) {
  return l;
}

static Object collectionMutex(Object o) {
  if (o instanceof List) return o;
  
  String c = className(o);
  if (eq(c, "java.util.TreeMap$KeySet"))
    c = className(o = getOpt(o, "m"));
  else if (eq(c, "java.util.HashMap$KeySet"))
    c = className(o = get_raw(o, "this$0"));

  
  
  if (eqOneOf(c, "java.util.TreeMap$AscendingSubMap", "java.util.TreeMap$DescendingSubMap"))
    c = className(o = get_raw(o, "m"));
    
  
    
  return o;
}
static Object pcallFunction(Object f, Object... args) {
  try { return callFunction(f, args); } catch (Throwable __e) { _handleException(__e); }
  return null;
}
static volatile PersistableThrowable _handleException_lastException;
static List _handleException_onException = synchroList(ll("printStackTrace2"));

static void _handleException(Throwable e) {
  _handleException_lastException = persistableThrowable(e);
  
  Throwable e2 = innerException(e);
  if (e2.getClass() == RuntimeException.class && eq(e2.getMessage(), "Thread cancelled.") || e2 instanceof InterruptedException)
    return;
    
  for (Object f : cloneList(_handleException_onException)) try {
    callF(f, e);
  } catch (Throwable e3) {
    printStackTrace2(e3); // not using pcall here - it could lead to endless loops
  }
}

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 == null) return null;
    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) {
      makeAccessible(f);
      return f.get(o);
    }
      
    
      if (o instanceof DynamicObject)
        return ((DynamicObject) o).fieldValues.get(field);
    
  } catch (Exception e) {
    throw asRuntimeException(e);
  }
  throw new RuntimeException("Field '" + field + "' not found in " + o.getClass().getName());
}

static Object get_raw(String field, Object o) {
  return get_raw(o, field);
}

static Object get_raw(Object o, String field) { try {
  if (o == null) return null;
  Field f = get_findField(o.getClass(), field);
  makeAccessible(f);
  return f.get(o);
} catch (Exception __e) { throw rethrow(__e); } }

static Object get(Class c, String field) {
  try {
    Field f = get_findStaticField(c, field);
    makeAccessible(f);
    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() & java.lang.reflect.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 Object get(String field, Object o) {
  return get(o, field);
}
static Object vm_generalMap_get(Object key) {
  return vm_generalMap().get(key);
}
static Object vm_generalMap_put(Object key, Object value) {
  return mapPutOrRemove(vm_generalMap(), key, value);
}
static <A> Set<A> syncIdentityHashSet() {
  return (Set) synchronizedSet(identityHashSet());
}
static Map syncHashMap() {
  return synchroHashMap();
}


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 <A> A setThreadLocal(ThreadLocal<A> tl, A value) {
  if (tl == null) return null;
  A old = tl.get();
  tl.set(value);
  return old;
}
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 double max(double a, double 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 int max(int[] c) {
  int x = Integer.MIN_VALUE;
  for (int d : c) if (d > x) x = d;
  return x;
}
static Class<?> getClass(String name) {
  try {
    return Class.forName(name);
  } catch (ClassNotFoundException e) {
    return null;
  }
}

static Class getClass(Object o) {
  return o instanceof Class ? (Class) o : o.getClass();
}

static Class getClass(Object realm, String name) { try {
  try {
    return getClass(realm).getClassLoader().loadClass(classNameToVM(name));
  } catch (ClassNotFoundException e) {
    return null;
  }
} catch (Exception __e) { throw rethrow(__e); } }
static String classNameToVM(String name) {
  return name.replace(".", "$");
}
static List _registerWeakMap_preList;

static <A> A _registerWeakMap(A map) {
  if (javax() == null) {
    // We're in class init
    if (_registerWeakMap_preList == null) _registerWeakMap_preList = synchroList();
    _registerWeakMap_preList.add(map);
    return map;
  }
  
  try {
    call(javax(), "_registerWeakMap", map);
  } catch (Throwable e) {
    printException(e);
    print("Upgrade JavaX!!");
  }
  return map;
}

static void _onLoad_registerWeakMap() {
  assertNotNull(javax());
  if (_registerWeakMap_preList == null) return;
  for (Object o : _registerWeakMap_preList)
    _registerWeakMap(o);
  _registerWeakMap_preList = null;
}
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 Boolean isHeadless_cache;

static boolean isHeadless() {
  if (isHeadless_cache != null) return isHeadless_cache;
  if (isAndroid()) return isHeadless_cache = true;
  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 volatile boolean licensed_yes = true;

static boolean licensed() {
  if (!licensed_yes) return false;
  ping_okInCleanUp();
  return true;
}

static void licensed_off() {
  licensed_yes = false;
}
static void clear(Collection c) {
  if (c != null) c.clear();
}

static void clear(Map map) {
  if (map != null) map.clear();
}
static <A, B> void put(Map<A, B> map, A a, B b) {
  if (map != null) map.put(a, b);
}

static <A> void put(List<A> l, int i, A a) {
  if (l != null && i >= 0 && i < l(l)) l.set(i, a);
}
static <A, B> B mapGet2(Map<A, B> map, A a) {
  return map == null ? null : map.get(a);
}

static <A, B> B mapGet2(A a, Map<A, B> map) {
  return map == null ? null : map.get(a);
}
static boolean isSubtypeOf(Class a, Class b) {
  return b.isAssignableFrom(a); // << always hated that method, let's replace it!
}
static Set<String> reflection_classesNotToScan_value = litset(
  "jdk.internal.loader.URLClassPath"
);

static Set<String> reflection_classesNotToScan() {
  return reflection_classesNotToScan_value;
}
static String className(Object o) {
  return getClassName(o);
}
static boolean eqOneOf(Object o, Object... l) {
  for (Object x : l) if (eq(o, x)) return true; return false;
}
static Object callFunction(Object f, Object... args) {
  return callF(f, args);
}
static <A> List<A> ll(A... a) {
  ArrayList l = new ArrayList(a.length);
  if (a != null) for (A x : a) l.add(x);
  return l;
}
static PersistableThrowable persistableThrowable(Throwable e) {
  return e == null ? null : new PersistableThrowable(e);
}
static Map vm_generalMap_map;

static Map vm_generalMap() {
  if (vm_generalMap_map == null)
    vm_generalMap_map = (Map) get(javax(), "generalMap");
  return vm_generalMap_map;
}
static <A, B> B mapPutOrRemove(Map<A, B> map, A key, B value) {
  if (map != null && key != null)
    if (value != null) return map.put(key, value);
    else return map.remove(key);
  return null;
}
static <A> Set<A> synchronizedSet() {
  return synchroHashSet();
}

static <A> Set<A> synchronizedSet(Set<A> set) {
  return Collections.synchronizedSet(set);
}
static <A> Set<A> identityHashSet() {
  return Collections.newSetFromMap(new IdentityHashMap());
}


static String getStackTrace2(Throwable e) {
  return hideCredentials(getStackTrace(unwrapTrivialExceptionWraps(e)) + replacePrefix("java.lang.RuntimeException: ", "FAIL: ",
    hideCredentials(str(innerException2(e)))) + "\n");
}
static <A extends Throwable> A printException(A e) {
  printStackTrace(e);
  return e;
}
static <A> HashSet<A> litset(A... items) {
  return lithashset(items);
}
static <A> Set<A> synchroHashSet() {
  return Collections.synchronizedSet(new HashSet<A>());
}



static String hideCredentials(URL url) { return url == null ? null : hideCredentials(str(url)); }

static String hideCredentials(String url) {
  try {
    if (startsWithOneOf(url, "http://", "https://") && isAGIBlueDomain(hostNameFromURL(url))) return url;
  } catch (Throwable e) {
    print("HideCredentials", e);
  }
  return url.replaceAll("([&?])(_pass|key|cookie)=[^&\\s\"]*", "$1$2=<hidden>");
}

static String hideCredentials(Object o) {
  return hideCredentials(str(o));
}
static String getStackTrace(Throwable throwable) {
  lastException(throwable);
  return getStackTrace_noRecord(throwable);
}

static String getStackTrace_noRecord(Throwable throwable) {
  StringWriter writer = new StringWriter();
  throwable.printStackTrace(new PrintWriter(writer));
  return hideCredentials(writer.toString());
}

static String getStackTrace() {
  return getStackTrace_noRecord(new Throwable());
}
static Throwable unwrapTrivialExceptionWraps(Throwable e) {
  if (e == null) return e;
  while (e.getClass() == RuntimeException.class
    && e.getCause() != null && eq(e.getMessage(), str(e.getCause())))
    e = e.getCause();
  return e;
}
static String replacePrefix(String prefix, String replacement, String s) {
  if (!startsWith(s, prefix)) return s;
  return replacement + substring(s, l(prefix));
}
static Throwable innerException2(Throwable e) {
  if (e == null) return null;
  while (empty(e.getMessage()) && e.getCause() != null)
    e = e.getCause();
  return e;
}
static <A extends Throwable> A printStackTrace(A e) {
  // we go to system.out now - system.err is nonsense
  print(getStackTrace(e));
  return e;
}

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

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

static void printStackTrace(String msg, Throwable e) {
  printStackTrace(new Throwable(msg, e));
}
static <A> HashSet<A> lithashset(A... items) {
  HashSet<A> set = new HashSet();
  for (A a : items) set.add(a);
  return set;
}


static boolean startsWithOneOf(String s, String... l) {
  for (String x : l) if (startsWith(s, x)) return true; return false;
}

static boolean startsWithOneOf(String s, Matches m, String... l) {
  for (String x : l) if (startsWith(s, x, m)) return true; return false;
}
static boolean isAGIBlueDomain(String domain) {
  return domainIsUnder(domain, theAGIBlueDomain());
}
static String hostNameFromURL(String url) { try {
  return new URL(url).getHost();
} catch (Exception __e) { throw rethrow(__e); } }
// PersistableThrowable doesn't hold GC-disturbing class references in backtrace
static volatile PersistableThrowable lastException_lastException;

static PersistableThrowable lastException() {
  return lastException_lastException;
}

static void lastException(Throwable e) {
  lastException_lastException = persistableThrowable(e);
}
static boolean startsWith(String a, String b) {
  return a != null && a.startsWith(b);
}

static boolean startsWith(String a, char c) {
  return nemptyString(a) && a.charAt(0) == c;
}


  static boolean startsWith(String a, String b, Matches m) {
    if (!startsWith(a, b)) return false;
    m.m = new String[] {substring(a, strL(b))};
    return true;
  }


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


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


static String substring(String s, IntRange r) {
  return r == null ? null : substring(s, r.start, r.end);
}


// convenience method for quickly dropping a prefix
static String substring(String s, CharSequence l) {
  return substring(s, l(l));
}


static boolean domainIsUnder(String domain, String mainDomain) {
  return eqic(domain, mainDomain) || ewic(domain, "." + mainDomain);
}
static String theAGIBlueDomain() {
  return "agi.blue";
}
static boolean nemptyString(String s) {
  return s != null && s.length() > 0;
}
static int strL(String s) {
  return s == null ? 0 : s.length();
}
static int listL(Collection l) {
  return l == null ? 0 : l.size();
}
static boolean neq(Object a, Object b) {
  return !eq(a, b);
}


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 ewic(String a, String b) {
  return endsWithIgnoreCase(a, b);
}


static boolean ewic(String a, String b, Matches m) {
  return endsWithIgnoreCase(a, b, m);
}



static String asString(Object o) {
  return o == null ? null : o.toString();
}
static boolean endsWithIgnoreCase(String a, String b) {
  int la = l(a), lb = l(b);
  return la >= lb && regionMatchesIC(a, la-lb, b, 0, lb);
}


static boolean endsWithIgnoreCase(String a, String b, Matches m) {
  if (!endsWithIgnoreCase(a, b)) return false;
  m.m = new String[] { substring(a, 0, l(a)-l(b)) };
  return true;
}



static boolean regionMatchesIC(String a, int offsetA, String b, int offsetB, int len) {
  
  
    return a != null && a.regionMatches(true, offsetA, b, offsetB, len);
  
}


// immutable, has strong refs
final static class _MethodCache {
  final Class c;
  final HashMap<String, List<Method>> cache = new HashMap();
  
  _MethodCache(Class c) {
  this.c = c; _init(); }
  
  void _init() {
    Class _c = c;
    while (_c != null) {
      for (Method m : _c.getDeclaredMethods())
        if (!isAbstract(m) && !reflection_isForbiddenMethod(m))
          multiMapPut(cache, m.getName(), makeAccessible(m));
      _c = _c.getSuperclass();
    }
    
    // add default methods - this might lead to a duplication
    // because the overridden method is also added, but it's not
    // a problem except for minimal performance loss.
    for (Class intf : allInterfacesImplementedBy(c))
      for (Method m : intf.getDeclaredMethods())
        if (m.isDefault() && !reflection_isForbiddenMethod(m))
          multiMapPut(cache, m.getName(), makeAccessible(m));

    
  }
  
  // Returns only matching methods
  Method findMethod(String method, Object[] args) { try {
    List<Method> m = cache.get(method);
    
    if (m == null) return null;
    int n = m.size();
    for (int i = 0; i < n; i++) {
      Method me = m.get(i);
      if (call_checkArgs(me, args, false))
        return me;
    }
    return null;
  } catch (Exception __e) { throw rethrow(__e); } }
  
  Method findStaticMethod(String method, Object[] args) { try {
    List<Method> m = cache.get(method);
    if (m == null) return null;
    int n = m.size();
    for (int i = 0; i < n; i++) {
      Method me = m.get(i);
      if (isStaticMethod(me) && call_checkArgs(me, args, false))
        return me;
    }
    return null;
  } catch (Exception __e) { throw rethrow(__e); } }
}static abstract class VF1<A> implements IVF1<A> {
  public abstract void get(A a);
}static class Input<A> implements IF0<A> , IFieldsToList, Transformable, Visitable{
  A a;
  Input() {}
  Input(A a) {
  this.a = a;}
  public String toString() { return shortClassName(this) + "(" + a + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Input)) return false;
    Input x =  (Input) o;
    return eq(a, x.a);
}

  public int hashCode() {
    int h = 70805418;
    h = boostHashCombine(h, _hashCode(a));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {a}; }
public Object transformUsing(IF1 f) { return new Input((A) f.get(a)); }
public void visitUsing(IVF1 f) { f.get(a); }

  public A get() { return a; }
}static class Matches {
  String[] m;
  
  Matches() {}
  Matches(String... m) {
  this.m = m;}
  
  String get(int i) { return i < m.length ? m[i] : null; }
  String unq(int i) { return unquote(get(i)); }
  
  String tlc(int i) { return unq(i).toLowerCase(); }
  boolean bool(int i) { return "true".equals(unq(i)); }
  String rest() { return m[m.length-1]; } // for matchStart
  int psi(int i) { return Integer.parseInt(unq(i)); }
  
  public String toString() { return "Matches(" + joinWithComma(quoteAll(asList(m))) + ")"; }
  
  public int hashCode() { return _hashCode(toList(m)); }
  public boolean equals(Object o) { return o instanceof Matches && arraysEqual(m, ((Matches) o).m); }
}
static class DeepReturnSite<A> extends Var<A> implements AutoCloseable {
  volatile boolean closed = false;
  
  public void close() { closed = true; }
}static class TransformedInput<A> implements IF0<A> , IFieldsToList, Transformable, Visitable{
  A a;
  TransformedInput() {}
  TransformedInput(A a) {
  this.a = a;}
  public String toString() { return shortClassName(this) + "(" + a + ")"; }

public boolean equals(Object o) {
if (!(o instanceof TransformedInput)) return false;
    TransformedInput x =  (TransformedInput) o;
    return eq(a, x.a);
}

  public int hashCode() {
    int h = -1682387553;
    h = boostHashCombine(h, _hashCode(a));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {a}; }
public Object transformUsing(IF1 f) { return new TransformedInput((A) f.get(a)); }
public void visitUsing(IVF1 f) { f.get(a); }

  public A get() { return a; }
}static class PersistableThrowable {
  String className;
  String msg;
  String stacktrace;
  
  PersistableThrowable() {}
  PersistableThrowable(Throwable e) {
    if (e == null)
      className = "Crazy Null Error";
    else {
      className = getClassName(e).replace('/', '.');
      msg = e.getMessage();
      stacktrace = getStackTrace_noRecord(e);
    }
  }
  
  public String toString() {
    return nempty(msg) ? className + ": " + msg : className;
  }
}static class DeepReturn extends QuickException {
  DeepReturnSite site;

  DeepReturn(DeepReturnSite site) {
  this.site = site;}
}static interface IVF1<A> {
  void get(A a);
}static abstract class F1<A, B> {
  abstract B get(A a);
}// Now probabilistic - i.e.
//   transformers can return WithProbability or call lowerProbability().
// B is the type of object we handle.
// Hopefully this class is persistent?
static class TransformersOnObjects<B> implements Steppable {
  
  
  // using the oldschool type F1 here because it's a bit easier to handle
  AllOnAll_probabilistic<F1, B> allOnAll = new AllOnAll_probabilistic();
  Set<B> bs = new HashSet();
  MultiSetMap<B, Object> trails = new MultiSetMap();
  Map<Object, IF2> backTransformers = new HashMap(); // reverse of each transformer
  Map<Object, Double> probabilities = new HashMap();
  
  boolean verboseAddObject = true;
  transient ThreadLocal<Double> currentProbability = new ThreadLocal();
  
  static class TransformationTrail implements IFieldsToList{
  static final String _fieldOrder = "transformer argument backTransformer";
  Object transformer;
  Object argument;
  TransformationTrail() {}
  TransformationTrail(Object transformer, Object argument) {
  this.argument = argument;
  this.transformer = transformer;}

public boolean equals(Object o) {
if (!(o instanceof TransformationTrail)) return false;
    TransformationTrail x =  (TransformationTrail) o;
    return eq(transformer, x.transformer) && eq(argument, x.argument);
}

  public int hashCode() {
    int h = 632501341;
    h = boostHashCombine(h, _hashCode(transformer));
    h = boostHashCombine(h, _hashCode(argument));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {transformer, argument}; }

    F1 backTransformer; // really complex back transformer
    public String toString() { return squareBracket(str(transformer)) + " on " + squareBracket(str(argument)); }
  }
  
  // If this is true and a transformer returns an Iterable,
  // we unpack it and discard the Iterable.
  boolean autoUnpackIterables = true;
  
  // make a trail for each transformer application
  boolean autoTrails = true;
  
  // keep multiple trails per object
  boolean allowMultipleTrails = true;
  
  // when calling think()
  long maxSteps = 1000;
  
  AllOnAllOperation < F1 , B > op = new AllOnAllOperation<>(allOnAll, new TheOp());
  
  // make it a class so it's persistable
  class TheOp implements IVF2<F1, B> {
    public void get(F1 a, B b) {
      if (!functionCallableOn_nonSynthetic(a, b)) return;
       AutoCloseable __1 = tempSetTL(currentProbability, getProbability(a)*getProbability(b)); try {
      Object out = callFOpt(a, b);
      Object trail = autoTrails ? makeTrailForTransformerApplication(a, b) : null;
      if (out == null) return;
      if (out instanceof WithProbability) {
        lowerCurrentProbability(((WithProbability) out).probability);
        out = ((WithProbability) out).get();
        if (out == null) return;
      }
      if (autoUnpackIterables && out instanceof Iterable) // don't use this anymore
        for (Object x : (Iterable) out) addObject((B) x, trail);
      else
        addObject((B) out, trail);
    } finally { _close(__1); }}
  }
  
  class ProbFunc implements IF2<F1, B, Double> {
    public Double get(F1 a, B b) {
      return getProbability(a) * getProbability(b);
    }
  }
    
  TransformersOnObjects() {
    allOnAll.probabilityForPair = new ProbFunc();
  }

  boolean addAll(Iterable<B> l) {
    boolean change = false;
    for (B b : unnull(l)) if (add(b)) change = true;
    return change;
  }
  
  boolean add(B b) { return addObject(b); }
  
  boolean addObject(B b) {
    if (!addIfNotNull(bs, b)) return false;
    double prob = or(currentProbability.get(), 1.0);
    setProbability(b, prob);
    if (verboseAddObject) print("Added with " + new WithProbability(prob, sfu(b)));
    allOnAll.addB(b);
    return true;
  }
  
  void addObject(B b, Object trail) {
    if (b == null) return;
    add(b);
    if (trail != null && (allowMultipleTrails || !trails.containsKey(b)))
      trails.put(b, trail);
  }
  
  void addTransformer(F1 f) {
    allOnAll.addA(f);
  }
  
  // simple backtransformer only taking the transformed object
  void addTransformer(F1 f, F1 backTransformer) {
    addTransformer(f, backTransformer == null ? null
      : new SimplifiedBackTransformer(backTransformer));
  }

  static class SimplifiedBackTransformer implements IF2 , IFieldsToList{
  F1 backTransformer;
  SimplifiedBackTransformer() {}
  SimplifiedBackTransformer(F1 backTransformer) {
  this.backTransformer = backTransformer;}

public boolean equals(Object o) {
if (!(o instanceof SimplifiedBackTransformer)) return false;
    SimplifiedBackTransformer x =  (SimplifiedBackTransformer) o;
    return eq(backTransformer, x.backTransformer);
}

  public int hashCode() {
    int h = -1655813350;
    h = boostHashCombine(h, _hashCode(backTransformer));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {backTransformer}; }

    public Object get(Object in, Object out) { return callFIfActuallyCallable(backTransformer, out); }
    public String toString() { return str(backTransformer); }
  }
  
  // complex backtransformer taking the original and the transformed object
  <A, C> void addTransformer(F1<A, C> f, IF2<A, C, Object> backTransformer) {
    addTransformer(f);
    mapPut(backTransformers, f, backTransformer);
  }
  
  void addTransformer(VF2 f) {
    addTransformer(new F1<Object, Object>() { public Object get(Object a) { try { 
      addTransformer(new F1<Object, Object>() { public Object get(Object b) { try { 
        if (callableOn_nonSynthetic(f, "get", a, b))
          f.get(a, b);
        return null;
       } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "if (callableOn_nonSynthetic(f, \"get\", a, b))\r\n          f.get(a, b);\r\n       ..."; }});
      return null;
     } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "addTransformer(func(O b) {\r\n        if (callableOn_nonSynthetic(f, \"get\", a, ..."; }});
  }
  
  void addTransformer(F2 f) {
    addTransformer(new F1<Object, Object>() { public Object get(Object a) { try { 
      addTransformer(new F1<Object, Object>() { public Object get(Object b) { try { 
        return callableOn_nonSynthetic(f, "get", a, b) ? f.get(a, b) : null;
       } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "callableOn_nonSynthetic(f, \"get\", a, b) ? f.get(a, b) : null"; }});
      return null;
     } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "addTransformer(func(O b) {\r\n        callableOn_nonSynthetic(f, \"get\", a, b) ?..."; }});
  }
  
  public boolean step() { return op.step(); }
  
  List<B> getObjects() { return allOnAll.getBs(); }
  
  Object makeTrailForTransformerApplication(Object transformer, B argument) {
    return new TransformationTrail(transformer, argument);
  }
  
  void printWithTrails() {
    pnlMap(getObjects(), b -> {
      Set _trails = trails.get(b);
      return sfu(b) + (empty(_trails) ? ""
        : " [" + nTrails(_trails) + ": " + joinWithComma(_trails) + "]");
    });
  }
  
  // only returns the actual TransformationTrails
  Collection<TransformationTrail> getTrails(B b) {
    return instancesOf(TransformationTrail.class,trails.get(b));
  }
  
  Collection<TransformationTrail> getTrailsBy(B b, Object transformer) {
    return filter(getTrails(b), t -> eq(((TransformationTrail) t).transformer, transformer));
  }
  
  TransformationTrail getTrailBy(B b, Object transformer) {
    return firstThat(getTrails(b), t -> eq(((TransformationTrail) t).transformer, transformer));
  }
  
  IF2 getBackTransformer(Object transformer) {
    return backTransformers.get(transformer);
  }
  
  void printTransformers() {
    pnl(allOnAll.getAs());
  }
  
  double getProbability(Object o) {
    return or(probabilities.get(o), 1.0);
  }
  
  // Note: works only for transformers that are not rewritten by the addTransformer method
  // Works for all objects
  <A> A setProbability(A o, double p) {
    if (o == null) return null;
    Double pOld = probabilities.get(p);
    if (pOld != null) {
      if (p == 1.0)
        probabilities.remove(o);
      else if (pOld.doubleValue() != p)
        probabilities.put(o, p);
    } else if (p != 1.0)
      probabilities.put(o, p);
    return o;
  }
  
  // p = 0.0 to 1.0
  void lowerProbability(double p) { lowerCurrentProbability(p); }
  void lowerCurrentProbability(double p) {
    currentProbability.set(currentProbability.get() * p);
  }
  
  void think() { stepAllWithStats(this, maxSteps); }
}
static class Pair<A, B> implements Comparable<Pair<A, B>> {
  A a;
  B b;

  Pair() {}
  Pair(A a, B b) {
  this.b = b;
  this.a = a;}
  
  public int hashCode() {
    return hashCodeFor(a) + 2*hashCodeFor(b);
  }
  
  public boolean equals(Object o) {
    if (o == this) return true;
    if (!(o instanceof Pair)) return false;
    Pair t = (Pair) o;
    return eq(a, t.a) && eq(b, t.b);
  }
  
  public String toString() {
    return "<" + a + ", " + b + ">";
  }
  
  public int compareTo(Pair<A, B> p) {
    if (p == null) return 1;
    int i = ((Comparable<A>) a).compareTo(p.a);
    if (i != 0) return i;
    return ((Comparable<B>) b).compareTo(p.b);
  }
}

static abstract class VF2<A, B> {
  abstract void get(A a, B b);
}// uses hash sets as inner sets unless subclassed
// uses a hash map as the outer map by default
static class MultiSetMap<A, B> {
  Map<A, Set<B>> data = new HashMap<A, Set<B>>();
  int size;
  
  MultiSetMap() {}
  MultiSetMap(boolean useTreeMap) { if (useTreeMap) data = new TreeMap(); }
  MultiSetMap(MultiSetMap<A, B> map) { putAll(map); }
  MultiSetMap(Map<A, Set<B>> data) {
  this.data = data;}

  boolean put(A key, B value) { synchronized(data) {
    Set<B> set = data.get(key);
    if (set == null)
      data.put(key, set = _makeEmptySet());
    if (!set.add(value)) return false;
    { ++size; return true; }
  }}

  boolean add(A key, B value) { return put(key, value); }

  void addAll(A key, Collection<B> values) { synchronized(data) {
    putAll(key, values);
  }}
  
  void addAllIfNotThere(A key, Collection<B> values) { synchronized(data) {
    for (B value : values)
      setPut(key, value);
  }}
  
  void setPut(A key, B value) { synchronized(data) {
    if (!containsPair(key, value))
      put(key, value);
  }}
  
  boolean containsPair(A key, B value) { synchronized(data) {
    return get(key).contains(value);
  }}
  
  void putAll(A key, Collection<B> values) { synchronized(data) {
    for (B value : values)
      put(key, value);
  }}

  void removeAll(A key, Collection<B> values) { synchronized(data) {
    for (B value : values)
      remove(key, value);
  }}
  
  Set<B> get(A key) { synchronized(data) {
    Set<B> set = data.get(key);
    return set == null ? Collections.<B> emptySet() : set;
  }}

  // returns actual mutable live set
  // creates the set if not there
  Set<B> getActual(A key) { synchronized(data) {
    Set<B> set = data.get(key);
    if (set == null)
      data.put(key, set = _makeEmptySet());
    return set;
  }}
 
  // TODO: this looks unnecessary
  void clean(A key) { synchronized(data) {
    Set<B> list = data.get(key);
    if (list != null && list.isEmpty())
      data.remove(key);
  }}

  Set<A> keySet() { synchronized(data) {
    return data.keySet();
  }}

  Set<A> keys() { synchronized(data) {
    return data.keySet();
  }}

  void remove(A key) { synchronized(data) {
    size -= l(data.get(key));
    data.remove(key);
  }}

  void remove(A key, B value) { synchronized(data) {
    Set<B> set = data.get(key);
    if (set != null) {
      if (set.remove(value)) {
        --size;
        if (set.isEmpty())
          data.remove(key);
      }
    }
  }}

  void clear() { synchronized(data) {
    data.clear();
    size = 0;
  }}

  boolean containsKey(A key) { synchronized(data) {
    return data.containsKey(key);
  }}

  B getFirst(A key) { synchronized(data) {
    return first(get(key));
  }}
  
  void addAll(MultiSetMap<A, B> map) { putAll(map); }
  
  void putAll(MultiSetMap<A, B> map) { synchronized(data) {
    for (A key : map.keySet())
      putAll(key, map.get(key));
  }}
  
  void putAll(Map<A, B> map) { synchronized(data) {
    if (map != null) for (Map.Entry<A, B> e : map.entrySet())
      put(e.getKey(), e.getValue());
  }}
  
  int keysSize() { synchronized(data) { return l(data); }}
  
  // full size
  int size() { synchronized(data) {
    return size;
  }}
  
  // count values for key
  int getSize(A key) { return l(data.get(key)); }
  int count(A key) { return getSize(key); }
  
  // expensive operation
  Set<A> reverseGet(B b) { synchronized(data) {
    Set<A> l = new HashSet();
    for (A key : data.keySet())
      if (data.get(key).contains(b))
        l.add(key);
    return l;
  }}
  
  Map<A, Set<B>> asMap() { synchronized(data) {
    return cloneMap(data);
  }}
  
  boolean isEmpty() { synchronized(data) { return data.isEmpty(); }}
  
  // override in subclasses
  Set<B> _makeEmptySet() {
    return new HashSet();
  }
  
  Collection<Set<B>> allLists() {
    synchronized(data) {
      return new HashSet(data.values());
    }
  }
  
  List<B> allValues() {
    return concatLists(values(data));
  }
  
  Object mutex() { return data; }
  
  public String toString() { return "mm" + str(data); }
  
  Pair<A, B> firstEntry() {
    if (empty(data)) return null;
    Map.Entry<A, Set<B>> entry = data.entrySet().iterator().next();
    return pair(entry.getKey(), first(entry.getValue()));
  }
}static class Var<A> implements IVar<A> {
  Var() {}
  Var(A v) {
  this.v = v;}

  
  A v; // you can access this directly if you use one thread
  
  public synchronized void set(A a) {
    if (v != a) {
      v = a;
      notifyAll();
    }
  }
  
  public synchronized A get() { return v; }
  public synchronized boolean has() { return v != null; }
  public synchronized void clear() { v = null; }
  
  public String toString() { return str(get()); }
}static interface Visitable {
  void visitUsing(IVF1 f);
}
static interface Transformable {
  Object transformUsing(IF1 f);
}
static abstract class F2<A, B, C> {
  abstract C get(A a, B b);
}// simple probabilistic version of AllOnAll
// where you simply supply a function that calculates a probability for each pair
// class should be persistable if a's, b's and probabilityForPair are persistable
static class AllOnAll_probabilistic<A, B> implements Producer<Pair<A, B>> {
  List<A> aList = new ArrayList();
  List<B> bList = new ArrayList();
  List<Pair<IntRange, IntRange>> todo = new LinkedList(); // this is still non-probabilistic
  MultiSetMap<Double, Pair<A, B>> todo2 = multiSetMap_outerDescTreeMap_innerLinkedHashSet();
  
   IF2<A, B, Double> probabilityForPair;
double probabilityForPair(A a, B b) { return probabilityForPair != null ? probabilityForPair.get(a, b) : probabilityForPair_base(a, b); }
final double probabilityForPair_fallback(IF2<A, B, Double> _f, A a, B b) { return _f != null ? _f.get(a, b) : probabilityForPair_base(a, b); }
double probabilityForPair_base(A a, B b) { return 1.0; }

  void addA(A a) { newA(a); }
  void addAIfNotNull(A a) { if (a != null) newA(a); }
  
  synchronized void newA(A a) {
    add(aList, a);
    IntRange rB = intRange(0, l(bList));
    if (empty(rB)) return;
    addPair(todo, intRange_last(aList), rB);
  }
  
  synchronized void newAs(Iterable<A> l) {
    for (A a : unnull(l)) newA(a);
  }
  
  void addB(B b) { newB(b); }
  void addBIfNotNull(B b) { if (b != null) newB(b); }
  
  synchronized void newB(B b) {
    add(bList, b);
    IntRange rA = intRange(0, l(aList));
    if (empty(rA)) return;
    addPair(todo, rA, intRange_last(bList));
  }
  
  synchronized void newBs(Iterable<B> l) {
    for (B b : unnull(l)) newB(b);
  }
  
  public synchronized Pair<A, B> next() {
    Pair<IntRange, IntRange> p;
    while ((p = popFirst(todo)) != null)
      for (A a : subList(aList, p.a))
        for (B b : subList(bList, p.b))
          addAPair(a, b, probabilityForPair(a, b));

    return popFirstValueFromMultiSetMap(todo2);
  }
  
  private void addAPair(A a, B b, double probability) {
    if (probability > 0)
      todo2.put(probability, pair(a, b));
  }
  
  synchronized List cloneBList() {
    return clonedList(bList);
  }
  
  List<A> getAs() { return aList; }
  List<B> getBs() { return bList; }
}static interface IF0<A> {
  A get();
}static class QuickException extends RuntimeException {
  public Throwable fillInStackTrace() { return this; }
  
  QuickException() {}
  QuickException(Throwable e) { super(e); }
  QuickException(String msg) { super(msg); }
  QuickException(String msg, Throwable e) { super(msg, e); }
}static interface IFieldsToList {
  Object[] _fieldsToList();
}static interface IF2<A, B, C> {
  C get(A a, B b);
}static interface IF1<A, B> {
  B get(A a);
}static interface Steppable {
  public boolean step(); // return false if done
}static interface IVF2<A, B> {
  void get(A a, B b);
}// persistable (if you set "operation", make sure it's with a
// persistable object)
static class AllOnAllOperation<A, B> implements Steppable {
  Producer<Pair<A, B>> allOnAll; // e.g. an instance of AllOnAll<A, B>
  
  AllOnAllOperation() {}
  AllOnAllOperation(Producer<Pair<A, B>> allOnAll, IVF2<A, B> operation) {
  this.operation = operation;
  this.allOnAll = allOnAll;}
  
   IVF2<A, B> operation;
void operation(A a, B b) { if (operation != null) operation.get(a, b); else operation_base(a, b); }
final void operation_fallback(IVF2<A, B> _f, A a, B b) { if (_f != null) _f.get(a, b); else operation_base(a, b); }
void operation_base(A a, B b) {}

  public boolean step() {
    Pair<A, B> p = allOnAll.next();
    if (p == null) return false;
    operation(p.a, p.b);
    return true;
  }
}static class WithProbability<A> extends Var<A> {
  double probability; // assumed between 0 and 1
  
  WithProbability() {}
  WithProbability(double probability, A a) { super(a);
  this.probability = probability; }
  
  public String toString() {
    return "p=" + formatDouble_noLeadingZero(probability, 2) + ": " + str(get());
  }
}

static interface Producer<A> {
  public A next(); // null when end
}// it's unclear whether the end is inclusive or exclusive
// (usually exclusive I guess)
static class IntRange {
  int start, end;
  
  IntRange() {}
  IntRange(int start, int end) {
  this.end = end;
  this.start = start;}
  
  public boolean equals(Object o) { return stdEq2(this, o); }
public int hashCode() { return stdHash2(this); }
  
  final int length() { return end-start; }
  final boolean empty() { return start >= end; }
  
  static String _fieldOrder = "start end";
  
  public String toString() { return "[" + start + ";" + end + "]"; }
}static interface IVar<A> extends IF0<A> {
  void set(A a);
  A get();
  
  default boolean has() { return get() != null; }
  default void clear() { set(null); }
  
}

static boolean isAbstract(Class c) {
  return (c.getModifiers() & Modifier.ABSTRACT) != 0;
}

static boolean isAbstract(Method m) {
  return (m.getModifiers() & Modifier.ABSTRACT) != 0;
}
static boolean reflection_isForbiddenMethod(Method m) {
  return m.getDeclaringClass() == Object.class
    && eqOneOf(m.getName(), "finalize", "clone", "registerNatives");
}
static Set<Class> allInterfacesImplementedBy(Class c) {
  if (c == null) return null;
  HashSet<Class> set = new HashSet();
  allInterfacesImplementedBy_find(c, set);
  return set;
}

static void allInterfacesImplementedBy_find(Class c, Set<Class> set) {
  if (c.isInterface() && !set.add(c)) return;
  do {
    for (Class intf : c.getInterfaces())
      allInterfacesImplementedBy_find(intf, set);
  } while ((c = c.getSuperclass()) != null);
}
static Method findMethod(Object o, String method, Object... args) {
  return findMethod_cached(o, method, args);
}

static boolean findMethod_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 Method findStaticMethod(Class c, String method, Object... args) {
  Class _c = c;
  while (c != null) {
    for (Method m : c.getDeclaredMethods()) {
      if (!m.getName().equals(method))
        continue;

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

      return m;
    }
    c = c.getSuperclass();
  }
  return null;
}

static boolean findStaticMethod_checkArgs(Method m, Object[] args) {
  Class<?>[] types = m.getParameterTypes();
  if (types.length != args.length)
    return false;
  for (int i = 0; i < types.length; i++)
    if (!(args[i] == null || isInstanceX(types[i], args[i])))
      return false;
  return true;
}

static String shortClassName(Object o) {
  if (o == null) return null;
  Class c = o instanceof Class ? (Class) o : o.getClass();
  String name = c.getName();
  return shortenClassName(name);
}
static int boostHashCombine(int a, int b) {
  return a ^ (b + 0x9e3779b9 + (a << 6) + (a >> 2));
}
static int _hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
static String unquote(String s) {
  if (s == null) return null;
  if (startsWith(s, '[')) {
    int i = 1;
    while (i < s.length() && s.charAt(i) == '=') ++i;
    if (i < s.length() && s.charAt(i) == '[') {
      String m = s.substring(1, i);
      if (s.endsWith("]" + m + "]"))
        return s.substring(i+1, s.length()-i-1);
    }
  }
  
  if (s.length() > 1) {
    char c = s.charAt(0);
    if (c == '\"' || c == '\'') {
      int l = endsWith(s, c) ? s.length()-1 : s.length();
      StringBuilder sb = new StringBuilder(l-1);
  
      for (int i = 1; i < l; i++) {
        char ch = s.charAt(i);
        if (ch == '\\') {
          char nextChar = (i == l - 1) ? '\\' : s.charAt(i + 1);
          // Octal escape?
          if (nextChar >= '0' && nextChar <= '7') {
              String code = "" + nextChar;
              i++;
              if ((i < l - 1) && s.charAt(i + 1) >= '0'
                      && s.charAt(i + 1) <= '7') {
                  code += s.charAt(i + 1);
                  i++;
                  if ((i < l - 1) && s.charAt(i + 1) >= '0'
                          && s.charAt(i + 1) <= '7') {
                      code += s.charAt(i + 1);
                      i++;
                  }
              }
              sb.append((char) Integer.parseInt(code, 8));
              continue;
          }
          switch (nextChar) {
          case '\"': ch = '\"'; break;
          case '\\': ch = '\\'; break;
          case 'b': ch = '\b'; break;
          case 'f': ch = '\f'; break;
          case 'n': ch = '\n'; break;
          case 'r': ch = '\r'; break;
          case 't': ch = '\t'; break;
          case '\'': ch = '\''; break;
          // Hex Unicode: u????
          case 'u':
              if (i >= l - 5) {
                  ch = 'u';
                  break;
              }
              int code = Integer.parseInt(
                      "" + s.charAt(i + 2) + s.charAt(i + 3)
                         + s.charAt(i + 4) + s.charAt(i + 5), 16);
              sb.append(Character.toChars(code));
              i += 5;
              continue;
          default:
            ch = nextChar; // added by Stefan
          }
          i++;
        }
        sb.append(ch);
      }
      return sb.toString();
    }
  }
    
  return s; // not quoted - return original
}
static List<String> quoteAll(Collection<String> l) {
  List<String> x = new ArrayList();
  for (String s : l)
    x.add(quote(s));
  return x;
}
static <A> ArrayList<A> toList(A[] a) { return asList(a); }
static ArrayList<Integer> toList(int[] a) { return asList(a); }
static <A> ArrayList<A> toList(Set<A> s) { return asList(s); }
static <A> ArrayList<A> toList(Iterable<A> s) { return asList(s); }
static boolean arraysEqual(Object[] a, Object[] b) {
  if (a.length != b.length) return false;
  for (int i = 0; i < a.length; i++)
    if (neq(a[i], b[i])) return false;
  return true;
}
static boolean nempty(Collection c) {
  return !empty(c);
}

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

static boolean nempty(Object[] o) { return !empty(o); }
static boolean nempty(byte[] o) { return !empty(o); }
static boolean nempty(int[] o) { return !empty(o); }

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

static boolean nempty(Iterator i) {
  return i != null && i.hasNext();
}

static boolean nempty(Object o) { return !empty(o); }
static String squareBracket(String s) {
  return "[" + s + "]";
}
static boolean functionCallableOn_nonSynthetic(Object f, Object... args) {
  return callableOn_nonSynthetic(f, "get", args);
}
static <A> AutoCloseable tempSetTL(ThreadLocal<A> tl, A a) {
  return tempSetThreadLocal(tl, a);
}
static Object callFOpt(Object f, Object... args) {
  if (f == null) return null;
  if (f instanceof Runnable) {
    ((Runnable) f).run();
    return null;
  } else if (f instanceof String)
    return callOpt(mc(), (String) f, args);
  else
    return callOpt(f, "get", args);
}
static String unnull(String s) {
  return s == null ? "" : s;
}

static <A> Collection<A> unnull(Collection<A> l) {
  return l == null ? emptyList() : l;
}

static <A> List<A> unnull(List<A> l) {
  return l == null ? emptyList() : l;
}

static <A, B> Map<A, B> unnull(Map<A, B> l) {
  return l == null ? emptyMap() : l;
}

static <A> Iterable<A> unnull(Iterable<A> i) {
  return i == null ? emptyList() : i;
}

static <A> A[] unnull(A[] a) {
  return a == null ? (A[]) emptyObjectArray() : a;
}

static BitSet unnull(BitSet b) {
  return b == null ? new BitSet() : b;
}



//ifclass Symbol



static <A, B> Pair<A, B> unnull(Pair<A, B> p) {
  return p != null ? p : new Pair(null, null);
}

static void add(BitSet bs, int i) {
  bs.set(i);
}

static <A> boolean add(Collection<A> c, A a) {
  return c != null && c.add(a);
}


static void add(Container c, Component x) {
  addToContainer(c, x);
}

static <A> boolean addIfNotNull(Collection<A> l, A a) {
  return a != null && l != null & l.add(a);
}


static String sfu(Object o) { return structureForUser(o); }
static Object callFIfActuallyCallable(Object f, Object... args) {
  return functionCallableOn_nonSynthetic(f, args) ? callF(f, args) : null;
}
static <A, B> void mapPut(Map<A, B> map, A key, B value) {
  if (map != null && key != null && value != null) map.put(key, value);
}


static <A, B> void mapPut(Map<A, B> map, Pair<A, B> p) {
  if (map != null && p != null) map.put(p.a, p.b);
}

// TODO: use a separate cache for non-synthetic methods only
static boolean callableOn_nonSynthetic(Object o, String method, Object... args) {
  List<Method> l = findMethods_precise_onTypes(o, method, getClasses_array(args));
  if (l != null)
    for (Method m : l)
      if (isNonSynthetic(m))
        return true;
  return false;
}
static <A, B> List<B> pnlMap(IF1<A, B> f, Iterable<A> l) { return pnlMap(l, f); }
static <A, B> List<B> pnlMap(Iterable<A> l, IF1<A, B> f) {
  return pnl(map(l, f));
}
static String nTrails(long n) { return n2(n, "trail"); }
static String nTrails(Collection l) { return nTrails(l(l)); }
static String nTrails(Map map) { return nTrails(l(map)); }
static <A> List<A> instancesOf(Iterable i, Class<A> c) {
  return collectInstances(i, c);
}



static <A> List<A> instancesOf(Class<A> c, Iterable i) {
  return collectInstances(c, i);
}
static <A> List<A> filter(Iterable<A> c, Object pred) {
  if (pred instanceof F1) return filter(c, (F1<A, Boolean>) pred);

  
  List x = new ArrayList();
  if (c != null) for (Object o : c)
    if (isTrue(callF(pred, o)))
      x.add(o);
  return x;
}

static List filter(Object pred, Iterable c) {
  return filter(c, pred);
}

static <A, B extends A> List<B> filter(Iterable<B> c, F1<A, Boolean> pred) {
  List x = new ArrayList();
  if (c != null) for (B o : c)
    if (pred.get(o))
      x.add(o);
  return x;
}

static <A, B extends A> List<B> filter(F1<A, Boolean> pred, Iterable<B> c) {
  return filter(c, pred);
}

//ifclass IF1
static <A, B extends A> List<B> filter(Iterable<B> c, IF1<A, Boolean> pred) {
  List x = new ArrayList();
  if (c != null) for (B o : c)
    if (pred.get(o))
      x.add(o);
  return x;
}

static <A, B extends A> List<B> filter(B[] c, IF1<A, Boolean> pred) {
  List x = new ArrayList();
  if (c != null) for (B o : c)
    if (pred.get(o))
      x.add(o);
  return x;
}

static <A, B extends A> List<B> filter(IF1<A, Boolean> pred, Iterable<B> c) {
  return filter(c, pred);
}
//endif
static <A> A firstThat(Iterable<A> l, Object pred) {
  if (l != null) for (A a : l)
    if (checkCondition(pred, a))
      return a;
  return null;
}

static <A> A firstThat(Iterable<A> l, IF1<A, Boolean> pred) {
  return firstThat(l, (Object) pred);
}

static <A> A firstThat(IF1<A, Boolean> pred, Iterable<A> l) {
  return firstThat(l, pred);
}
static <A extends Iterable> A pnl(String prefix, A l) {
  printNumberedLines(prefix, l);
  return l;
}

static <A extends Iterable> A pnl(A l) {
  printNumberedLines(l);
  return l;
}

static <A extends Map> A pnl(A map) {
  printNumberedLines(map);
  return map;
}

static <A extends Map> A pnl(String prefix, A map) {
  printNumberedLines(prefix, map);
  return map;
}

static <A> A[] pnl(A[] a) {
  printNumberedLines(a);
  return a;
}

static String pnl(String s) {
  printNumberedLines(lines(s));
  return s;
}
static void stepAllWithStats(Steppable s) { stepAllWithStats(s, null); }
static void stepAllWithStats(Steppable s, Long maxSteps) {
  if (s == null) return;
  long n = 0;
  { long _startTime_0 = sysNow(); try {  
    if (maxSteps == null)
      while  (s.step()) { ping(); ++n; }
    else
      while  (n < maxSteps && s.step()) { ping(); ++n; }
  } finally { _startTime_0 = sysNow()-_startTime_0; saveTiming(_startTime_0); } }
  print(n2(n, "step") + " in " + lastTiming() + " ms");
}

static int hashCodeFor(Object a) {
  return a == null ? 0 : a.hashCode();
}
static <A, B> Map<A, B> putAll(Map<A, B> a, Map<? extends A,? extends B> b) {
  if (a != null && b != null) a.putAll(b);
  return a;
}
static <A> void remove(List<A> l, int i) {
  if (l != null && i >= 0 && i < l(l))
    l.remove(i);
}

static <A> void remove(Collection<A> l, A a) {
  if (l != null) l.remove(a);
}
static Set emptySet() {
  return new HashSet();
}
static <A, B> Set<A> keySet(Map<A, B> map) {
  return map == null ? new HashSet() : map.keySet();
}

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






static <A, B> Set<A> keys(Map<A, B> map) {
  return map == null ? new HashSet() : map.keySet();
}

// convenience shortcut for keys_gen
static Set keys(Object map) {
  return keys((Map) map);
}






  static <A, B> Set<A> keys(MultiSetMap<A, B> mm) {
    return mm.keySet();
  }



static <A> A reverseGet(List<A> l, int idx) {
  if (l == null || idx < 0) return null;
  int n = l(l);
  return idx < n ? l.get(n-1-idx) : null;
}
static <A, B> Map<A, B> cloneMap(Map<A, B> map) {
  if (map == null) return new HashMap();
  // assume mutex is equal to map
  synchronized(map) {
    return map instanceof TreeMap ? new TreeMap((TreeMap) map) // copies comparator
      : map instanceof LinkedHashMap ? new LinkedHashMap(map)
      : new HashMap(map);
  }
}

static <A, B> List<B> cloneMap(Iterable<A> l, IF1<A, B> f) {
  List x = emptyList(l);
  if (l != null) for (A o : cloneList(l))
    x.add(f.get(o));
  return x;
}
static <A> List<A> concatLists(Iterable<A>... lists) {
  List<A> l = new ArrayList();
  if (lists != null) for (Iterable<A> list : lists)
    addAll(l, list);
  return l;
}

static <A> List<A> concatLists(Collection<? extends Iterable<A>> lists) {
  List<A> l = new ArrayList();
  if (lists != null) for (Iterable<A> list : lists)
    addAll(l, list);
  return l;
}

static <A, B> Collection<B> values(Map<A, B> map) {
  return map == null ? emptyList() : map.values();
}

// convenience shortcut for values_gen
static Collection values(Object map) {
  return values((Map) map);
}




static <A, B> MultiSetMap<A, B> multiSetMap_outerDescTreeMap_innerLinkedHashSet() {
  return new MultiSetMap<A, B>(descTreeMap()) {
    Set<B> _makeEmptySet() { return new LinkedHashSet(); }
  };
}
static IntRange intRange(int start, int end) {
  return new IntRange(start, end);
}
static <A, B> void addPair(Collection<Pair<A, B>> c, A a, B b) {
  if (c != null) c.add(pair(a, b));
}
static IntRange intRange_last(List l) {
  int n = l(l);
  return intRange(n-1, n);
}
static <A> A popFirst(List<A> l) {
  if (empty(l)) return null;
  A a = first(l);
  l.remove(0);
  return a;
}

static <A> A popFirst(Collection<A> l) {
  if (empty(l)) return null;
  A a = first(l);
  l.remove(a);
  return a;
}

static <A> List<A> popFirst(int n, List<A> l) {
  List<A> part = cloneSubList(l, 0, n);
  removeSubList(l, 0, n);
  return part;
}
static <A> List<A> subList(List<A> l, int startIndex) {
  return subList(l, startIndex, l(l));
}

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

static <A> List<A> subList(List<A> l, int startIndex, int endIndex) {
  if (l == null) return null;
  int n = l(l);
  startIndex = Math.max(0, startIndex);
  endIndex = Math.min(n, endIndex);
  if (startIndex >= endIndex) return ll();
  if (startIndex == 0 && endIndex == n) return l;
  return l.subList(startIndex, endIndex);
}


static <A> List<A> subList(List<A> l, IntRange r) {
  return subList(l, r.start, r.end);
}

static <A, B> B popFirstValueFromMultiSetMap(MultiSetMap<A, B> map) {
  if (map == null) return null;
  Pair<A, B> p = map.firstEntry();
  if (p == null) return null;
  map.remove(p.a, p.b);
  return p.b;
}
static <A> ArrayList<A> clonedList(Iterable<A> l) {
  return cloneList(l);
}



static <A> ArrayList<A> clonedList(Collection<A> l) {
  return cloneList(l);
}
static String formatDouble_noLeadingZero(double d, int digits) {
  String s = formatDouble(d, digits);
  if (startsWith(s, "-"))
    return startsWith(s, "-0.") ? "-." + dropFirst(3, s) : s;
  else
    return startsWith(s, "0.") ? dropFirst(s) : s;
}

static boolean stdEq2(Object a, Object b) {
  if (a == null) return b == null;
  if (b == null) return false;
  if (a.getClass() != b.getClass()) return false;
  for (String field : allFields(a))
    if (neq(getOpt(a, field), getOpt(b, field)))
      return false;
  return true;
}
static int stdHash2(Object a) {
  if (a == null) return 0;
  return stdHash(a, toStringArray(allFields(a)));
}
static <A> A set(A o, String field, Object value) {
  if (o == null) return null;
  if (o instanceof Class) set((Class) o, field, value);
  else try {
    Field f = set_findField(o.getClass(), field);
    makeAccessible(f);
    smartSet(f, o, value);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
  return o;
}

static void set(Class c, String field, Object value) {
  if (c == null) return;
  try {
    Field f = set_findStaticField(c, field);
    makeAccessible(f);
    smartSet(f, null, value);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
}
  
static Field set_findStaticField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field) && (f.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0)
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  throw new RuntimeException("Static field '" + field + "' not found in " + c.getName());
}

static Field set_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 Method findMethod_cached(Object o, String method, Object... args) { try {
  if (o == null) return null;
  if (o instanceof Class) {
    _MethodCache cache = callOpt_getCache(((Class) o));
    List<Method> methods = cache.cache.get(method);
    if (methods != null) for (Method m : methods)
      if (isStaticMethod(m) && findMethod_checkArgs(m, args, false))
        return m;
    return null;
  } else {
    _MethodCache cache = callOpt_getCache(o.getClass());
    List<Method> methods = cache.cache.get(method);
    if (methods != null) for (Method m : methods)
      if (findMethod_checkArgs(m, args, false))
        return m;
    return null;
  }
} catch (Exception __e) { throw rethrow(__e); } }

static String shortenClassName(String name) {
  if (name == null) return null;
  int i = lastIndexOf(name, "$");
  if (i < 0) i = lastIndexOf(name, ".");
  return i < 0 ? name : substring(name, i+1);
}
static boolean endsWith(String a, String b) {
  return a != null && a.endsWith(b);
}

static boolean endsWith(String a, char c) {
  return nempty(a) && lastChar(a) == c;
}


  static boolean endsWith(String a, String b, Matches m) {
    if (!endsWith(a, b)) return false;
    m.m = new String[] {dropLast(l(b), a)};
    return true;
  }


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 if (c == '\0')
      out.append("\\0");
    else
      out.append(c);
  }
  out.append('"');
}
static Object callOpt(Object o) {
  return callF(o);
}

static <A> A callOpt(Object o, String method, Object... args) {
  return (A) callOpt_withVarargs(o, method, args);
}
static Map emptyMap() {
  return new HashMap();
}
static Object[] emptyObjectArray_a = new Object[0];
static Object[] emptyObjectArray() { return emptyObjectArray_a; }
static void addToContainer(final Container a, final Component b) {
  if (a != null && b != null) { swing(new Runnable() {  public void run() { try {  a.add(b); 
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "a.add(b);"; }}); }
}
static String structureForUser(Object o) {
  return beautifyStructure(struct_noStringSharing(o));
}
static List<Method> findMethods_precise_onTypes(Object o, String method, Class... argTypes) { try {
  if (o instanceof Class) {
    _MethodCache cache = callOpt_getCache(((Class) o));
    List<Method> methods = cache.cache.get(method);
    Map<Method, Integer> scores = new HashMap();
    if (methods != null) for (Method m : methods) {
      { if (!(isStaticMethod(m))) continue; }
      int score = methodApplicabilityScore_onTypes(m, argTypes);
      if (score < Integer.MAX_VALUE) {
        /*if (preciseCall_debug)
          print("Method score: " + m + " " + score);*/
        scores.put(m, score);
      }
    }
    return keysSortedByValue(scores);
  }
  
  if (o == null) return null;
  _MethodCache cache = callOpt_getCache(o.getClass());
  List<Method> methods = cache.cache.get(method);
  Map<Method, Integer> best = new HashMap();
  if (methods != null) for (Method m : methods) {
    int score = methodApplicabilityScore_onTypes(m, argTypes);
    if (score < Integer.MAX_VALUE)
      best.put(m, score);
  }
  return keysSortedByValue(best);
} catch (Exception __e) { throw rethrow(__e); } }

static Class[] getClasses_array(Object[] array) {
  if (array == null) return null;
  int n = array.length;
  Class[] l = new Class[n];
  for (int i = 0; i < n; i++) l[i] = _getClass(array[i]);
  return l;
}
static boolean isNonSynthetic(Method m) {
  return m != null && !m.isSynthetic();
}
static List map(Iterable l, Object f) { return map(f, l); }

static List map(Object f, Iterable l) {
  List x = emptyList(l);
  if (l != null) for (Object o : l)
    x.add(callF(f, o));
  return x;
}


  static <A, B> List<B> map(Iterable<A> l, F1<A, B> f) { return map(f, l); }

  static <A, B> List<B> map(F1<A, B> f, Iterable<A> l) {
    List x = emptyList(l);
    if (l != null) for (A o : l)
      x.add(callF(f, o));
    return x;
  }


static <A, B> List<B> map(IF1<A, B> f, Iterable<A> l) { return map(l, f); }
static <A, B> List<B> map(Iterable<A> l, IF1<A, B> f) {
  List x = emptyList(l);
  if (l != null) for (A o : l)
    x.add(f.get(o));
  return x;
}
  
static <A, B> List<B> map(IF1<A, B> f, A[] l) { return map(l, f); }
static <A, B> List<B> map(A[] l, IF1<A, B> f) {
  List x = emptyList(l);
  if (l != null) for (A o : l)
    x.add(f.get(o));
  return x;
}
  
static List map(Object f, Object[] l) { return map(f, asList(l)); }
static List map(Object[] l, Object f) { return map(f, l); }

static List map(Object f, Map map) {
  return map(map, f);
}

// map: func(key, value) -> list element
static List map(Map map, Object f) {
  List x = new ArrayList();
  if (map != null) for (Object _e : map.entrySet()) {
    Map.Entry e = (Map.Entry) _e;
    x.add(callF(f, e.getKey(), e.getValue()));
  }
  return x;
}

static <A, B, C> List<C> map(Map<A, B> map, IF2<A, B, C> f) {
  return map(map, (Object) f);
}
static String n2(long l) { return formatWithThousands(l); }
static String n2(Collection l) { return n2(l(l)); }
static String n2(Map map) { return n2(l(map)); }

static String n2(double l, String singular) {
  return n2(l, singular, singular + "s");
}

static String n2(double l, String singular, String plural) {
  if (fraction(l) == 0)
    return n2((long) l, singular, plural);
  else
    return l + " " + plural;
}

static String n2(long l, String singular, String plural) {
  return n_fancy2(l, singular, plural);
}

static String n2(long l, String singular) {
  return n_fancy2(l, singular, singular + "s");
}

static String n2(Collection l, String singular) {
  return n2(l(l), singular);
}

static String n2(Collection l, String singular, String plural) {
  return n_fancy2(l, singular, plural);
}

static String n2(Map m, String singular, String plural) {
  return n_fancy2(m, singular, plural);
}

static String n2(Map m, String singular) {
  return n2(l(m), singular);
}

static String n2(Object[] a, String singular) { return n2(l(a), singular); }
static String n2(Object[] a, String singular, String plural) { return n_fancy2(a, singular, plural); }


static <A> List<A> collectInstances(Iterable i, Class<A> c) {
  List l = new ArrayList();
  if (i == null) return l;
  c = primitiveToBoxedTypeOpt(c);
  for (Object o : i)
    if (isInstance(c, o))
      l.add(o);
  return l;
}

static <A> List<A> collectInstances(Class<A> c, Iterable i) {
  return collectInstances(i, c);
}
static boolean checkCondition(Object condition, Object... args) {
  return isTrue(callF(condition, args));
}

static <A> boolean checkCondition(IF1<A, Boolean> condition, A arg) {
  return isTrue(callF(condition, arg));
}
/*static <A> L<A> printNumberedLines(L<A> l) {
  printNumberedLines((Collection<A>) l);
  ret l;
}

static <A> L<A> printNumberedLines(S prefix, L<A> l) {
  printNumberedLines(prefix, (Collection<A>) l);
  ret l;
}*/

static void printNumberedLines(Map map) {
  printNumberedLines(mapToLines(map));
}

static void printNumberedLines(String prefix, Map map) {
  printNumberedLines(prefix, mapToLines(map));
}

static <A extends Iterable> A printNumberedLines(A l) {
  int i = 0;
  if (l != null) for (Object a : l) print((++i) + ". " + str(a));
  return l;
}

static <A extends Iterable> A printNumberedLines(String prefix, A l) {
  int i = 0;
  if (l != null) for (Object a : l) print(prefix + (++i) + ". " + str(a));
  return l;
}

static void printNumberedLines(Object[] l) {
  printNumberedLines(asList(l));
}

static void printNumberedLines(Object o) {
  printNumberedLines(lines(str(o)));
}
static String lines(Iterable lines) { return fromLines(lines); }
static String lines(Object[] lines) { return fromLines(asList(lines)); }
static List<String> lines(String s) { return toLines(s); }
static long sysNow() {
  ping();
  return System.nanoTime()/1000000;
}
static ThreadLocal<Long> saveTiming_last = new ThreadLocal();

static void saveTiming(long ms) {
  print(ms + " ms");
  saveTiming_noPrint(ms);
}

static void saveTiming_noPrint(long ms) {
  saveTiming_last.set(ms);
}
static long lastTiming() {
  return getLastTiming();
}
static <A, B extends A> void addAll(Collection<A> c, Iterable<B> b) {
  if (c != null && b != null) for (A a : b) c.add(a);
}

static <A, B extends A> boolean addAll(Collection<A> c, Collection<B> b) {
  return c != null && b != null && c.addAll(b);
}

static <A, B extends A> boolean addAll(Collection<A> c, B... b) {
  return c != null && c.addAll(Arrays.asList(b));
}



static <A, B> Map<A, B> addAll(Map<A, B> a, Map<? extends A,? extends B> b) {
  if (a != null) a.putAll(b);
  return a;
}
static TreeMap descTreeMap() {
  return revTreeMap();
}
static <A> List<A> cloneSubList(List<A> l, int startIndex, int endIndex) {
  return newSubList(l, startIndex, endIndex);
}

static <A> List<A> cloneSubList(List<A> l, int startIndex) {
  return newSubList(l, startIndex);
}
static void removeSubList(List l, int from, int to) {
  if (l != null) subList(l, from, to).clear();
}

static void removeSubList(List l, int from) {
  if (l != null) subList(l, from).clear();
}
static String formatDouble(double d, int digits) {
  String format = digits <= 0 ? "0" : "0." + rep(digits, '#');
  return decimalFormatEnglish(format, d);
}

static String[] dropFirst(int n, String[] a) {
  return drop(n, a);
}

static String[] dropFirst(String[] a) {
  return drop(1, a);
}

static Object[] dropFirst(Object[] a) {
  return drop(1, a);
}

static <A> List<A> dropFirst(List<A> l) {
  return dropFirst(1, l);
}

static <A> List<A> dropFirst(int n, Iterable<A> i) { return dropFirst(n, toList(i)); }
static <A> List<A> dropFirst(Iterable<A> i) { return dropFirst(toList(i)); }

static <A> List<A> dropFirst(int n, List<A> l) {
  return n <= 0 ? l : new ArrayList(l.subList(Math.min(n, l.size()), l.size()));
}

static <A> List<A> dropFirst(List<A> l, int n) {
  return dropFirst(n, l);
}

static String dropFirst(int n, String s) { return substring(s, n); }
static String dropFirst(String s, int n) { return substring(s, n); }
static String dropFirst(String s) { return substring(s, 1); }
static Set<String> allFields(Object o) {
  TreeSet<String> fields = new TreeSet();
  Class _c = _getClass(o);
  do {
    for (Field f : _c.getDeclaredFields())
      fields.add(f.getName());
    _c = _c.getSuperclass();
  } while (_c != null);
  return fields;
}
static int stdHash(Object a, String... fields) {
  if (a == null) return 0;
  int hash = getClassName(a).hashCode();
  for (String field : fields)
    hash = boostHashCombine(hash, hashCode(getOpt(a, field)));
  return hash;
}
static String[] toStringArray(Collection<String> c) {
  String[] a = new String[l(c)];
  Iterator<String> it = c.iterator();
  for (int i = 0; i < l(a); i++)
    a[i] = it.next();
  return a;
}

static String[] toStringArray(Object o) {
  if (o instanceof String[])
    return (String[]) o;
  else if (o instanceof Collection)
    return toStringArray((Collection<String>) o);
  else
    throw fail("Not a collection or array: " + getClassName(o));
}

static void smartSet(Field f, Object o, Object value) throws Exception {
  try {
    f.set(o, value);
  } catch (Exception e) {
    Class type = f.getType();
    
    // take care of common case (long to int)
    if (type == int.class && value instanceof Long)
      value = ((Long) value).intValue();
    
    if (type == LinkedHashMap.class && value instanceof Map)
      { f.set(o, asLinkedHashMap((Map) value)); return; }
    
    
    throw e;
  }
}


static int lastIndexOf(String a, String b) {
  return a == null || b == null ? -1 : a.lastIndexOf(b);
}

static int lastIndexOf(String a, char b) {
  return a == null ? -1 : a.lastIndexOf(b);
}

// starts searching from i-1
static <A> int lastIndexOf(List<A> l, int i, A a) {
  if (l == null) return -1;
  for (i = min(l(l), i)-1; i >= 0; i--)
    if (eq(l.get(i), a))
      return i;
  return -1;
}
static char lastChar(String s) {
  return empty(s) ? '\0' : s.charAt(l(s)-1);
}
static <A> A[] dropLast(A[] a) { return dropLast(a, 1); }
static <A> A[] dropLast(A[] a, int n) {
  if (a == null) return null;
  n = Math.min(n, a.length);
  A[] b = arrayOfSameType(a, 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 String dropLast(String s, int n) {
  return substring(s, 0, l(s)-n);
}

static String dropLast(int n, String s) {
  return dropLast(s, n);
}

static Object callOpt_withVarargs(Object o, String method, Object... args) { try {
  if (o == null) return null;
  
  if (o instanceof Class) {
    Class c = (Class) o;
    _MethodCache cache = callOpt_getCache(c);
    
    Method me = cache.findMethod(method, args);
    if (me == null) {
      // TODO: varargs
      return null;
    }
    if ((me.getModifiers() & Modifier.STATIC) == 0)
      return null;
    return invokeMethod(me, null, args);
  } else {
    Class c = o.getClass();
    _MethodCache cache = callOpt_getCache(c);

    Method me = cache.findMethod(method, args);
    if (me != null)
      return invokeMethod(me, o, args);
      
    // try varargs
    List<Method> methods = cache.cache.get(method);
    if (methods != null) methodSearch: for (Method m : methods) {
      { if (!(m.isVarArgs())) continue; }
      Object[] newArgs = massageArgsForVarArgsCall(m, args);
      if (newArgs != null)
        return invokeMethod(m, o, newArgs);
    }
    
    return null;
  }
} catch (Exception __e) { throw rethrow(__e); } }
static Object swing(Object f) {
  return swingAndWait(f);
}

static <A> A swing(F0<A> f) {
  return (A) swingAndWait(f);
}

static <A> A swing(IF0<A> f) {
  return (A) swingAndWait(f);
}
static String beautifyStructure(String s) {
  List<String> tok = javaTokForStructure(s);
  structure_addTokenMarkers(tok);
  jreplace(tok, "lhm", "");
  return join(tok);
}
static String struct_noStringSharing(Object o) {
  structure_Data d = new structure_Data();
  d.noStringSharing = true;
  return structure(o, d);
}
// return Int.MAX_VALUE if not applicable
// Lower score is better
static int methodApplicabilityScore_onTypes(Method m, Class[] argTypes) {
   Class<?>[] types = m.getParameterTypes();
   if (types.length != argTypes.length) return Integer.MAX_VALUE;
   int score = 0;
   for (int i = 0; i < types.length; i++) {
     Class a = argTypes[i];
     Class c = types[i];
     if (c == a) {} // perfect match
     else if (isSubclassOf(a, c)) ++score;
     else return Integer.MAX_VALUE;
  }
  return score;
}
static <A, B> List<A> keysSortedByValue(Map<A, B> map) {
  return keysSortedByValues(map);
}
static String formatWithThousands(long l) {
  return formatWithThousandsSeparator(l);
}
static double fraction(double d) {
  return d % 1;
}
static String n_fancy2(long l, String singular, String plural) {
  return formatWithThousandsSeparator(l) + " " + trim(l == 1 ? singular : plural);
}

static String n_fancy2(Collection l, String singular, String plural) {
  return n_fancy2(l(l), singular, plural);
}

static String n_fancy2(Map m, String singular, String plural) {
  return n_fancy2(l(m), singular, plural);
}

static String n_fancy2(Object[] a, String singular, String plural) {
  return n_fancy2(l(a), singular, plural);
}


static Class primitiveToBoxedTypeOpt(Class type) {
  return or(primitiveToBoxedType(type), type);
}
static List<String> mapToLines(Map map) {
  List<String> l = new ArrayList();
  for (Object key : keys(map))
    l.add(str(key) + " = " + str(map.get(key)));
  return l;
}

static String mapToLines(Map map, Object f) {
  return lines(map(map, f));
}

static String mapToLines(Object f, Map map) {
  return lines(map(map, f));
}

static String mapToLines(Object f, Iterable l) {
  return lines(map(f, l));
}

static <A> String mapToLines(Iterable<A> l, IF1<A, String> f) {
  return mapToLines((Object) f, l);
}

static <A> String mapToLines(IF1<A, String> f, Iterable<A> l) {
  return mapToLines((Object) f, l);
}

static <A, B> String mapToLines(Map<A, B> map, IF2<A, B, String> f) {
  return lines(map(map, f));
}
// usually L<S>
static String fromLines(Iterable 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 IterableIterator<String> toLines(File f) {
  return linesFromFile(f);
}

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;
}

static int toLines_nextLineBreak(String s, int start) {
  int n = s.length();
  for (int i = start; i < n; i++) {
    char c = s.charAt(i);
    if (c == '\r' || c == '\n')
      return i;
  }
  return -1;
}
static long getLastTiming() {
  ThreadLocal<Long> tl =  (ThreadLocal<Long>) (getOpt(getMainClass(), "saveTiming_last"));
  if (tl == null) return -1;
  Long l = tl.get();
  return l == null ? -1 : l;
}
static TreeMap revTreeMap() {
  return new TreeMap(reverseComparator());
}
static <A> List<A> newSubList(List<A> l, int startIndex, int endIndex) {
  return cloneList(subList(l, startIndex, endIndex));
}

static <A> List<A> newSubList(List<A> l, int startIndex) {
  return cloneList(subList(l, startIndex));
}
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 String decimalFormatEnglish(String format, double d) {
  return new java.text.DecimalFormat(format, new java.text.DecimalFormatSymbols(Locale.ENGLISH)).format(d);
}
static String[] drop(int n, String[] a) {
  n = Math.min(n, a.length);
  String[] b = new String[a.length-n];
  System.arraycopy(a, n, b, 0, b.length);
  return b;
}

static Object[] drop(int n, Object[] a) {
  n = Math.min(n, a.length);
  Object[] b = new Object[a.length-n];
  System.arraycopy(a, n, b, 0, b.length);
  return b;
}
static int hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
static <A, B> LinkedHashMap<A, B> asLinkedHashMap(Map<A, B> map) {
  if (map instanceof LinkedHashMap) return (LinkedHashMap) map;
  LinkedHashMap<A, B> m = new LinkedHashMap();
  if (map != null) synchronized(collectionMutex(map)) {
    m.putAll(map);
  }
  return m;
}


static <A> A[] arrayOfSameType(A[] a, int n) {
  return newObjectArrayOfSameType(a, n);
}
static void swingAndWait(Runnable r) { try {
  if (isAWTThread())
    r.run();
  else
    EventQueue.invokeAndWait(addThreadInfoToRunnable(r));
} catch (Exception __e) { throw rethrow(__e); } }

static Object swingAndWait(final Object f) {
  if (isAWTThread())
    return callF(f);
  else {
    final Var result = new Var();
    swingAndWait(new Runnable() {  public void run() { try { 
      result.set(callF(f));
    
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "result.set(callF(f));"; }});
    return result.get();
  }
}
static List<String> javaTokForStructure(String s) {
  return javaTok_noMLS(s);
}
static String structure_addTokenMarkers(String s) {
  return join(structure_addTokenMarkers(javaTokForStructure(s)));
}
  
static List<String> structure_addTokenMarkers(List<String> tok) {
  // find references
  
  TreeSet<Integer> refs = new TreeSet();
  for (int i = 1; i < l(tok); i += 2) {
    String t = tok.get(i);
    if (t.startsWith("t") && isInteger(t.substring(1)))
      refs.add(parseInt(t.substring(1)));
  }
  
  if (empty(refs)) return tok;
  
  // add markers
  for (int i : refs) {
    int idx = i*2+1;
    if (idx >= l(tok)) continue; // broken structure
    String t = "";
    if (endsWithLetterOrDigit(tok.get(idx-1))) t = " ";
    tok.set(idx, t + "m" + i + " " + tok.get(idx));
  }
  
  return tok;
}


static String jreplace(String s, String in, String out) {
  return jreplace(s, in, out, null);
}

static String jreplace(String s, String in, String out, Object condition) {
  List<String> tok = javaTok(s);
  return jreplace(tok, in, out, condition) ? join(tok) : s;
}

// leaves tok properly tokenized
// returns true iff anything was replaced
static boolean jreplace(List<String> tok, String in, String out) {
  return jreplace(tok, in, out, false, true, null);
}

static boolean jreplace(List<String> tok, String in, String out, Object condition) {
  return jreplace(tok, in, out, false, true, condition);
}

static boolean jreplace(List<String> tok, String in, String out, IF2<List<String>, Integer, Boolean> condition) {
  return jreplace(tok, in, out, (Object) condition);
}

static boolean jreplace(List<String> tok, String in, String out, boolean ignoreCase, boolean reTok, Object condition) {
  String[] toks = javaTokForJFind_array(in);
  int lTokin = toks.length*2+1;

  boolean anyChange = false;
  int i = -1;
  for (int n = 0; n < 10000; n++) { // TODO: don't need this check anymore
    i = findCodeTokens(tok, i+1, ignoreCase, toks, condition);
    if (i < 0)
      return anyChange;
    List<String> subList = tok.subList(i-1, i+lTokin-1); // N to N
    String expansion = jreplaceExpandRefs(out, subList);
    int end = i+lTokin-2;
    
    clearAllTokens(tok, i, end); // C to C
    tok.set(i, expansion);
    if (reTok) // would this ever be false??
      reTok(tok, i, end);
    i = end;
    anyChange = true;
  }
  throw fail("woot? 10000! " + quote(in) + " => " + quote(out));
}

static boolean jreplace_debug = false;
static boolean structure_showTiming, structure_checkTokenCount;

static String structure(Object o) {
  return structure(o, new structure_Data());
}

static String structure(Object o, structure_Data d) {
  StringWriter sw = new StringWriter();
  d.out = new PrintWriter(sw);
  structure_go(o, d);
  String s = str(sw);
  if (structure_checkTokenCount) {
    print("token count=" + d.n);
    assertEquals("token count", l(javaTokC(s)), d.n);
  }
  return s;
}

static void structure_go(Object o, structure_Data d) {
  structure_1(o, d);
  while (nempty(d.stack))
    popLast(d.stack).run();
}

static void structureToPrintWriter(Object o, PrintWriter out) {
  structure_Data d = new structure_Data();
  d.out = out;
  structure_go(o, d);
}

// leave to false, unless unstructure() breaks
static boolean structure_allowShortening = false;

// info on how to serialize objects of a certain class
static class structure_ClassInfo {
  List<Field> fields;
  Method customSerializer;
  boolean special, nullInstances;
}

static class structure_Data {
  PrintWriter out;
  int stringSizeLimit;
  int shareStringsLongerThan = 20;
  boolean noStringSharing = false;

  IdentityHashMap<Object, Integer> seen = new IdentityHashMap();
  //new BitSet refd;
  HashMap<String, Integer> strings = new HashMap();
  HashSet<String> concepts = new HashSet();
  HashMap<Class, structure_ClassInfo> infoByClass = new HashMap();
  HashMap<Class, Field> persistenceInfo = new HashMap();
  int n; // token count
  List<Runnable> stack = new ArrayList();
  
  // append single token
  structure_Data append(String token) { out.print(token); ++n; return this; }
  structure_Data append(int i) { out.print(i); ++n; return this; }
  
  // append multiple tokens
  structure_Data append(String token, int tokCount) { out.print(token); n += tokCount; return this; }
  
  // extend last token
  structure_Data app(String token) { out.print(token); return this; }
  structure_Data app(int i) { out.print(i); return this; }
}

static void structure_1(final Object o, final structure_Data d) { try {
  if (o == null) { d.append("null"); return; }
  
  Class c = o.getClass();
  boolean concept = false;
  
  structure_ClassInfo info = d.infoByClass.get(c);
  if (info == null) {
    d.infoByClass.put(c, info = new structure_ClassInfo());
    if ((info.customSerializer = findMethodNamed(c, "_serialize"))
      != null) info.special = true;
  }

  List<Field> lFields = info.fields;
  if (lFields == null) {
    // these are never back-referenced (for readability)
    
    if (o instanceof Number) {
      PrintWriter out = d.out;
if (o instanceof Integer) { int i = ((Integer) o).intValue(); out.print(i); d.n += i < 0 ? 2 : 1; return; }
      if (o instanceof Long) { long l = ((Long) o).longValue(); out.print(l); out.print("L"); d.n += l < 0 ? 2 : 1; return; }
      if (o instanceof Short) { short s = ((Short) o).shortValue(); d.append("sh "); out.print(s); d.n += s < 0 ? 2 : 1; return; }
      if (o instanceof Float) { d.append("fl ", 2); quoteToPrintWriter(str(o), out); return; }
      if (o instanceof Double) { d.append("d(", 3); quoteToPrintWriter(str(o), out); d.append(")"); return; }
      if (o instanceof BigInteger) { out.print("bigint("); out.print(o); out.print(")"); d.n += ((BigInteger) o).signum() < 0 ? 5 : 4; return; }
    }
  
    if (o instanceof Boolean) {
      d.append(((Boolean) o).booleanValue() ? "t" : "f"); return;
    }
      
    if (o instanceof Character) {
      d.append(quoteCharacter((Character) o)); return;
    }
      
    if (o instanceof File) {
      d.append("File ").append(quote(((File) o).getPath())); return;
    }
      
    // referencable objects follow
    
    Integer ref = d.seen.get(o);
    if (o instanceof String && ref == null) ref = d.strings.get((String) o);
    if (ref != null) { /*d.refd.set(ref);*/ d.append("t").app(ref); return; }

    if (!(o instanceof String))
      d.seen.put(o, d.n); // record token number
    else {
      String s = d.stringSizeLimit != 0 ? shorten((String) o, d.stringSizeLimit) : (String) o;
      if (!d.noStringSharing) {
        if (d.shareStringsLongerThan == Integer.MAX_VALUE)
          d.seen.put(o, d.n);
        if (l(s) >= d.shareStringsLongerThan)
          d.strings.put(s, d.n);
      }
      quoteToPrintWriter(s, d.out); d.n++; return;
    }
      
    if (o instanceof Set) {
      /*O set2 = unwrapSynchronizedSet(o);
      if (set2 != o) {
        d.append("sync");
        o = set2;
      } TODO */
      
      if (((Set) o) instanceof TreeSet) {
        d.append(isCISet_gen(((Set) o)) ? "ciset" : "treeset");
        structure_1(new ArrayList(((Set) o)), d);
        return;
      }
      
      // assume it's a HashSet or LinkedHashSet
      d.append(((Set) o) instanceof LinkedHashSet ? "lhs" : "hashset");
      structure_1(new ArrayList(((Set) o)), d);
      return;
    }
    
    String name = c.getName();
    
    if (o instanceof Collection
      && !startsWith(name, "main$")
      /* && neq(name, "main$Concept$RefL") */) {
      
      // it's a list
    
      if (name.equals("java.util.Collections$SynchronizedList")
        || name.equals("java.util.Collections$SynchronizedRandomAccessList")) {
        d.append("sync ");
        { structure_1(unwrapSynchronizedList(((List) o)), d); return; }
      }
      else if (name.equals("java.util.LinkedList")) d.append("ll");
      d.append("[");
      final int l = d.n;
      final Iterator it = ((Collection) o).iterator();
      d.stack.add(new Runnable() {  public void run() { try { 
        if (!it.hasNext())
          d.append("]");
        else {
          d.stack.add(this);
          if (d.n != l) d.append(", ");
          structure_1(it.next(), d);
        }
      
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "if (!it.hasNext())\r\n          d.append(\"]\");\r\n        else {\r\n          d.sta..."; }});
      return;
    }
    
    if (o instanceof Map && !startsWith(name, "main$")) {
      if (o instanceof LinkedHashMap) d.append("lhm");
      else if (o instanceof HashMap) d.append("hm");
      else if (o instanceof TreeMap)
        d.append(isCIMap_gen(((TreeMap) o)) ? "cimap" : "tm");
      else if (name.equals("java.util.Collections$SynchronizedMap")
        || name.equals("java.util.Collections$SynchronizedSortedMap")
        || name.equals("java.util.Collections$SynchronizedNavigableMap")) {
        d.append("sync "); 
        { structure_1(unwrapSynchronizedMap(((Map) o)), d); return; }
      }
      
      d.append("{");
      final int l = d.n;
      final Iterator it = ((Map) o).entrySet().iterator();
      
      d.stack.add(new Runnable() {
        boolean v = false;
        Map.Entry e;
        
        public void run() {
          if (v) {
            d.append("=");
            v = false;
            d.stack.add(this);
            structure_1(e.getValue(), d);
          } else {
            if (!it.hasNext())
              d.append("}");
            else {
              e = (Map.Entry) it.next();
              v = true;
              d.stack.add(this);
              if (d.n != l) d.append(", ");
              structure_1(e.getKey(), d);
            }
          }
        }
      });
      return;
    }
    
    if (c.isArray()) {
      if (o instanceof byte[]) {
        d.append("ba ").append(quote(bytesToHex((byte[]) o))); return;
      }
  
      final int n = Array.getLength(o);
  
      if (o instanceof boolean[]) {
        String hex = boolArrayToHex((boolean[]) o);
        int i = l(hex);
        while (i > 0 && hex.charAt(i-1) == '0' && hex.charAt(i-2) == '0') i -= 2;
        d.append("boolarray ").append(n).app(" ").append(quote(substring(hex, 0, i))); return;
      }
      
      String atype = "array"/*, sep = ", "*/; // sep is not used yet
  
      if (o instanceof int[]) {
        //ret "intarray " + quote(intArrayToHex((int[]) o));
        atype = "intarray";
        //sep = " ";
      } else if (o instanceof double[]) {
        atype = "dblarray";
        //sep = " ";
      }
      
      d.append(atype).append("{");
      d.stack.add(new Runnable() {
        int i;
        public void run() {
          if (i >= n)
            d.append("}");
          else {
            d.stack.add(this);
            if (i > 0) d.append(", ");
            structure_1(Array.get(o, i++), d);
          }
        }
      });
      return;
    }
  
    if (o instanceof Class) {
      d.append("class(", 2).append(quote(((Class) o).getName())).append(")"); return;
    }
      
    if (o instanceof Throwable) {
      d.append("exception(", 2).append(quote(((Throwable) o).getMessage())).append(")"); return;
    }
      
    if (o instanceof BitSet) {
      BitSet bs = (BitSet) o;
      d.append("bitset{", 2);
      int l = d.n;
      for (int i = bs.nextSetBit(0); i >= 0; i = bs.nextSetBit(i+1)) {
        if (d.n != l) d.append(", ");
        d.append(i);
      }
      d.append("}"); return;
    }
      
    // Need more cases? This should cover all library classes...
    if (name.startsWith("java.") || name.startsWith("javax.")) {
      d.append("j ").append(quote(str(o))); return; // Hm. this is not unstructure-able
    }
    
    
      
    /*if (name.equals("main$Lisp")) {
      fail("lisp not supported right now");
    }*/
    
    if (info.special) {
      if (info.customSerializer != null) {
        // custom serialization (_serialize method)
        Object o2 = invokeMethod(info.customSerializer, o);
        d.append("cu ");
        String shortName = dropPrefix("main$", name);
        d.append(shortName);
        d.out.append(' ');
        structure_1(o2, d);
        return;
      } else
        if (info.nullInstances) { d.append("null"); return; }
      else throw fail("unknown special type");
    }
    
    String dynName = shortDynamicClassName(o);
    if (concept && !d.concepts.contains(dynName)) {
      d.concepts.add(dynName);
      d.append("c ");
    }
    
    // serialize an object with fields.
    // first, collect all fields and values in fv.
    
    TreeSet<Field> fields = new TreeSet<Field>(new Comparator<Field>() {
      public int compare(Field a, Field b) {
        return stdcompare(a.getName(), b.getName());
      }
    });
    
    Class cc = c;
    while (cc != Object.class) {
      for (Field field : getDeclaredFields_cached(cc)) {
        String fieldName = field.getName();
        if (fieldName.equals("_persistenceInfo"))
          d.persistenceInfo.put(c, field);
        if ((field.getModifiers() & (java.lang.reflect.Modifier.STATIC | java.lang.reflect.Modifier.TRANSIENT)) != 0)
          continue;

        fields.add(field);
        
        // put special cases here...?
      }
        
      cc = cc.getSuperclass();
    }
    
    // TODO: S fieldOrder = getOpt(c, "_fieldOrder");
    lFields = asList(fields);
    
    // Render this$1 first because unstructure needs it for constructor call.
    
    int n = l(lFields);
    for (int i = 0; i < n; i++) {
      Field f = lFields.get(i);
      if (f.getName().equals("this$1")) {
        lFields.remove(i);
        lFields.add(0, f);
        break;
      }
    }
  
    
    info.fields = lFields;
  } // << if (lFields == null)
  else { // ref handling for lFields != null
    Integer ref = d.seen.get(o);
    if (ref != null) { /*d.refd.set(ref);*/ d.append("t").app(ref); return; }
    d.seen.put(o, d.n); // record token number
  }

  Field persistenceInfoField =  (Field) (d.persistenceInfo.get(c));
  Map<String, Object> persistenceInfo = persistenceInfoField == null ? null : (Map) persistenceInfoField.get(o);
  
  LinkedHashMap<String, Object> fv = new LinkedHashMap();
  for (Field f : lFields) {
    Object value;
    try {
      value = f.get(o);
    } catch (Exception e) {
      value = "?";
    }
      
    if (value != null && (persistenceInfo == null
      || !Boolean.FALSE.equals(persistenceInfo.get(f.getName()))))
      fv.put(f.getName(), value);
    
  }
  
  String name = c.getName();
  String shortName = dropPrefix("main$", name);
  if (startsWithDigit(shortName)) shortName = name; // for anonymous classes
    
  // Now we have fields & values. Process fieldValues if it's a DynamicObject.
  
  // omit field "className" if equal to class's name
  if (concept && eq(fv.get("className"), shortName))
    fv.remove("className");
          
  if (o instanceof DynamicObject) {
    putAll(fv, (Map) fv.get("fieldValues"));
    fv.remove("fieldValues");
    shortName = shortDynamicClassName(o);
    fv.remove("className");
  }
  
  String singleField = fv.size() == 1 ? first(fv.keySet()) : null;
  
  d.append(shortName);
  d.n += countDots(shortName)*2; // correct token count
  
  
  final int l = d.n;
  final Iterator it = fv.entrySet().iterator();
  
  d.stack.add(new Runnable() {  public void run() { try { 
    if (!it.hasNext()) {
      if (d.n != l)
        d.append(")");
    } else {
      Map.Entry e = (Map.Entry) it.next();
      d.append(d.n == l ? "(" : ", ");
      d.append((String) e.getKey()).append("=");
      d.stack.add(this);
      structure_1(e.getValue(), d);
    }
  
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "if (!it.hasNext()) {\r\n      if (d.n != l)\r\n        d.append(\")\");\r\n    } else..."; }});
} catch (Exception __e) { throw rethrow(__e); } }

static boolean isSubclassOf(Class a, Class b) {
  return isSubclass(a, b);
}
static <A, B> List<A> keysSortedByValues(final Map<A, B> map) {
  List<A> l = new ArrayList(map.keySet());
  sort(l, mapComparator(map));
  return l;
}


static String formatWithThousandsSeparator(long l) {
  return NumberFormat.getInstance(new Locale("en_US")).format(l);
}
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 Class primitiveToBoxedType(Class type) {
  if (type == boolean.class) return Boolean.class;
  if (type == int.class) return Integer.class;
  if (type == long.class) return Long.class;
  if (type == float.class) return Float.class;
  if (type == short.class) return Short.class;
  if (type == char.class) return Character.class;
  if (type == byte.class) return Byte.class;
  if (type == double.class) return Double.class;
  return null;
}
static CloseableIterableIterator<String> linesFromFile(File f) { try {
  if (!f.exists()) return emptyCloseableIterableIterator();
  
  if (ewic(f.getName(), ".gz"))
    return linesFromReader(utf8bufferedReader(newGZIPInputStream(f)));
  
  return linesFromReader(utf8bufferedReader(f));
} catch (Exception __e) { throw rethrow(__e); } }

static CloseableIterableIterator<String> linesFromFile(String path) {
  return linesFromFile(newFile(path));
}
static Class getMainClass() {
  return mc();
}

static Class getMainClass(Object o) { try {
  if (o == null) return null;
  if (o instanceof Class && eq(((Class) o).getName(), "x30")) return (Class) o;
  return (o instanceof Class ? (Class) o : o.getClass()).getClassLoader().loadClass("main");
} catch (Exception __e) { throw rethrow(__e); } }
static <A> Comparator<A> reverseComparator(Comparator<A> c) {
  return (a, b) -> c.compare(b, a);
}

static <A> Comparator<A> reverseComparator() {
  return (a, b) -> cmp(b, a);
}

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) {
  n = Math.max(n, 0);
  List<A> l = new ArrayList(n);
  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> A[] newObjectArrayOfSameType(A[] a, int n) {
  return (A[]) Array.newInstance(a.getClass().getComponentType(), n);
}
static Runnable addThreadInfoToRunnable(final Object r) {
  final Object info = _threadInfo();
  return info == null ? asRunnable(r) : new Runnable() {  public void run() { try {  _inheritThreadInfo(info); callF(r); 
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "_inheritThreadInfo(info); callF(r);"; }};
}
static List<String> javaTok_noMLS(String s) {
  ArrayList<String> tok = new ArrayList();
  int l = s == null ? 0 : s.length();
  
  int i = 0, n = 0;
  while (i < l) {
    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;
    }
    
    tok.add(javaTok_substringN(s, i, j));
    ++n;
    i = j;
    if (i >= l) break;
    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) {
        int c2 = s.charAt(j);
        if (c2 == opener || c2 == '\n' && opener == '\'') { // allow multi-line strings, but not for '
          ++j;
          break;
        } else if (c2 == '\\' && j+1 < l)
          j += 2;
        else
          ++j;
      }
    } else if (Character.isJavaIdentifierStart(c))
      do ++j; while (j < l && Character.isJavaIdentifierPart(s.charAt(j)));
    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
      ++j;
      
    tok.add(javaTok_substringC(s, i, j));
    ++n;
    i = j;
  }
  
  if ((tok.size() % 2) == 0) tok.add("");
  return tok;
}
static boolean isInteger(String s) {
  int n = l(s);
  if (n == 0) return false;
  int i = 0;
  if (s.charAt(0) == '-')
    if (++i >= n) return false;
  while (i < n) {
    char c = s.charAt(i);
    if (c < '0' || c > '9') return false;
    ++i;
  }
  return true;
}
static int parseInt(String s) {
  return emptyString(s) ? 0 : Integer.parseInt(s);
}

static int parseInt(char c) {
  return Integer.parseInt(str(c));
}
// TODO: extended multi-line strings

static int javaTok_n, javaTok_elements;
static boolean javaTok_opt = false;

static List<String> javaTok(String s) {
  ++javaTok_n;
  ArrayList<String> tok = new ArrayList();
  int l = s == null ? 0 : s.length();
  
  int i = 0, n = 0;
  while (i < l) {
    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;
    }
    
    tok.add(javaTok_substringN(s, i, j));
    ++n;
    i = j;
    if (i >= l) break;
    c = s.charAt(i);
    d = i+1 >= l ? '\0' : s.charAt(i+1);

    // scan for non-whitespace
    
    // Special JavaX syntax: 'identifier
    if (c == '\'' && Character.isJavaIdentifierStart(d) && i+2 < l && "'\\".indexOf(s.charAt(i+2)) < 0) {
      j += 2;
      while (j < l && Character.isJavaIdentifierPart(s.charAt(j)))
        ++j;
    } else if (c == '\'' || c == '"') {
      char opener = c;
      ++j;
      while (j < l) {
        int c2 = s.charAt(j);
        if (c2 == opener || c2 == '\n' && opener == '\'') { // allow multi-line strings, but not for '
          ++j;
          break;
        } else if (c2 == '\\' && j+1 < l)
          j += 2;
        else
          ++j;
      }
    } else if (Character.isJavaIdentifierStart(c))
      do ++j; while (j < l && (Character.isJavaIdentifierPart(s.charAt(j)) || s.charAt(j) == '\'')); // 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;
      
    tok.add(javaTok_substringC(s, i, j));
    ++n;
    i = j;
  }
  
  if ((tok.size() % 2) == 0) tok.add("");
  javaTok_elements += tok.size();
  return tok;
}

static List<String> javaTok(List<String> tok) {
  return javaTokWithExisting(join(tok), tok);
}




  static Map<String, String[]> javaTokForJFind_array_cache = synchronizedMRUCache(1000);


static String[] javaTokForJFind_array(String s) {
  String[] tok = javaTokForJFind_array_cache.get(s);
  if (tok == null)
    javaTokForJFind_array_cache.put(s, tok = codeTokensAsStringArray(jfind_preprocess(javaTok(s))));
  return tok;
}


static int findCodeTokens(List<String> tok, String... tokens) {
  return findCodeTokens(tok, 1, false, tokens);
}

static int findCodeTokens(List<String> tok, boolean ignoreCase, String... tokens) {
  return findCodeTokens(tok, 1, ignoreCase, tokens);
}

static int findCodeTokens(List<String> tok, int startIdx, boolean ignoreCase, String... tokens) {
  return findCodeTokens(tok, startIdx, ignoreCase, tokens, null);
}

static HashSet<String> findCodeTokens_specials = lithashset("*", "<quoted>", "<id>", "<int>", "\\*");
static int findCodeTokens_bails, findCodeTokens_nonbails;

static interface findCodeTokens_Matcher {
  boolean get(String token);
}

static int findCodeTokens(List<String> tok, int startIdx, boolean ignoreCase, String[] tokens, Object condition) {
  int end = tok.size()-tokens.length*2+2, nTokens = tokens.length;
  int i = startIdx | 1;
  
  // bail out early if first token not found (works great with IndexedList)
  String firstToken = tokens[0];
  if (!ignoreCase && !findCodeTokens_specials.contains(firstToken)) {
    
    
    // quickly scan for first token
    while (i < end && !firstToken.equals(tok.get(i)))
      i += 2;
  }
  
  findCodeTokens_Matcher[] matchers = new findCodeTokens_Matcher[nTokens];
  for (int j = 0; j < nTokens; j++) {
    String p = tokens[j];
    findCodeTokens_Matcher matcher;
    if (p.equals("*"))
      matcher = t -> true;
    else if (p.equals("<quoted>"))
      matcher = t -> isQuoted(t);
    else if (p.equals("<id>"))
      matcher = t -> isIdentifier(t);
    else if (p.equals("<int>"))
      matcher = t -> isInteger(t);
    else if (p.equals("\\*"))
      matcher = t -> t.equals("*");
    else if (ignoreCase)
      matcher = t -> eqic(p, t);
    else
      matcher = t -> t.equals(p);
    matchers[j] = matcher;
  }
 
  outer: for (; i < end; i += 2) {
    for (int j = 0; j < nTokens; j++)
      if (!matchers[j].get(tok.get(i+j*2)))
        continue outer;

    if (condition == null || checkTokCondition(condition, tok, i-1)) // pass N index
      return i;
  }
  return -1;
}
// "$1" is first code token, "$2" second code token etc.
static String jreplaceExpandRefs(String s, List<String> tokref) {
  if (!contains(s, '$')) return s;
  List<String> tok = javaTok(s);
  for (int i = 1; i < l(tok); i += 2) {
    String t = tok.get(i);
    if (t.startsWith("$") && isInteger(t.substring(1))) {
      String x = tokref.get(-1+parseInt(t.substring(1))*2);
      tok.set(i, x);
    } else if (t.equals("\\")) {
      tok.set(i, "");
      i += 2;
    }
  }
  return join(tok);
}

  static void clearAllTokens(List<String> tok) {
    for (int i = 0; i < tok.size(); i++)
      tok.set(i, "");
  }
  
  static void clearAllTokens(List<String> tok, int i, int j) {
    for (; i < j; i++)
      tok.set(i, "");
  }
static List<String> reTok(List<String> tok) {
  replaceCollection(tok, javaTok(tok));
  return tok;
}

static List<String> reTok(List<String> tok, int i) {
  return reTok(tok, i, i+1);
}

static List<String> reTok(List<String> tok, int i, int j) {
  // extend i to an "N" token
  // and j to "C" (so j-1 is an "N" token)
  i = max(i & ~1, 0);
  j = min(l(tok), j | 1);
  if (i >= j) return tok;
  
  List<String> t = javaTok(joinSubList(tok, i, j));
  replaceListPart(tok, i, j, t);
  
  // fallback to safety
  // reTok(tok);
  
  return tok;
}


static List<String> reTok(List<String> tok, IntRange r) {
  if (r != null) reTok(tok, r.start, r.end);
  return tok;
}

static <A> A assertEquals(Object x, A y) {
  return assertEquals(null, x, y);
}

static <A> A assertEquals(String msg, Object x, A y) {
  if (assertVerbose()) return assertEqualsVerbose(msg, x, y);
  if (!(x == null ? y == null : x.equals(y)))
    throw fail((msg != null ? msg + ": " : "") + y + " != " + x);
  return y;
}
static List<String> javaTokC(String s) {
  if (s == null) return null;
  int l = s.length();
  ArrayList<String> tok = new ArrayList();
  
  int i = 0;
  while (i < l) {
    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) break;
    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;
      
    tok.add(javaTok_substringC(s, i, j));
    i = j;
  }
  
  return tok;
}
static <A> A popLast(List<A> l) {
  return liftLast(l);
}

static <A> List<A> popLast(int n, List<A> l) {
  return liftLast(n, l);
}
// This is a bit rough... finds static and non-static methods.

static Method findMethodNamed(Object obj, String method) {
  if (obj == null) return null;
  if (obj instanceof Class)
    return findMethodNamed((Class) obj, method);
  return findMethodNamed(obj.getClass(), method);
}

static Method findMethodNamed(Class c, String method) {
  while (c != null) {
    for (Method m : c.getDeclaredMethods())
      if (m.getName().equals(method)) {
        makeAccessible(m);
        return m;
      }
    c = c.getSuperclass();
  }
  return null;
}
static void quoteToPrintWriter(String s, PrintWriter out) {
  if (s == null) { out.print("null"); return; }
  out.print('"');
  int l = s.length();
  for (int i = 0; i < l; i++) {
    char c = s.charAt(i);
    if (c == '\\' || c == '"') {
      out.print('\\'); out.print(c);
    } else if (c == '\r')
      out.print("\\r");
    else if (c == '\n')
      out.print("\\n");
    else if (c == '\0')
      out.print("\\0");
    else
      out.print(c);
  }
  out.print('"');
}
static String quoteCharacter(char c) {
  if (c == '\'') return "'\\''";
  if (c == '\\') return "'\\\\'";
  if (c == '\r') return "'\\r'";
  if (c == '\n') return "'\\n'";
  if (c == '\t') return "'\\t'";
  return "'" + c + "'";
}

static int shorten_default = 100;

static String shorten(String s) { return shorten(s, shorten_default); }

static String shorten(String s, int max) {
  return shorten(s, max, "...");
}

static String shorten(String s, int max, String shortener) {
  if (s == null) return "";
  if (max < 0) return s;
  return s.length() <= max ? s : substring(s, 0, min(s.length(), max-l(shortener))) + shortener;
}

static String shorten(int max, String s) { return shorten(s, max); }
static boolean isCISet_gen(Iterable<String> l) {
  return l instanceof TreeSet && className(((TreeSet) l).comparator()).contains("CIComp");
}
static <A> List<A> unwrapSynchronizedList(List<A> l) {
  if (eqOneOf(className(l),
    "java.util.Collections$SynchronizedList",
    "java.util.Collections$SynchronizedRandomAccessList"))
    return (List) get_raw(l, "list");
  return l;
}
static boolean isCIMap_gen(Map map) {
  return map instanceof TreeMap && className(((TreeMap) map).comparator()).contains("CIComp");
}
static <A, B> Map<A, B> unwrapSynchronizedMap(Map<A, B> map) {
  if (eqOneOf(className(map),
    "java.util.Collections$SynchronizedMap",
    "java.util.Collections$SynchronizedSortedMap",
    "java.util.Collections$SynchronizedNavigableMap"))
    return (Map) get_raw(map, "m");
  return map;
}
  public static String bytesToHex(byte[] bytes) {
    return bytesToHex(bytes, 0, bytes.length);
  }

  public static String bytesToHex(byte[] bytes, int ofs, int len) {
    StringBuilder stringBuilder = new StringBuilder(len*2);
    for (int i = 0; i < len; i++) {
      String s = "0" + Integer.toHexString(bytes[ofs+i]);
      stringBuilder.append(s.substring(s.length()-2, s.length()));
    }
    return stringBuilder.toString();
  }

static String boolArrayToHex(boolean[] a) {
  return bytesToHex(boolArrayToBytes(a));
}
static Iterator emptyIterator() {
  return Collections.emptyIterator();
}
static String dropPrefix(String prefix, String s) {
  return s == null ? null : s.startsWith(prefix) ? s.substring(l(prefix)) : s;
}
static String shortDynamicClassName(Object o) {
 if (o instanceof DynamicObject && ((DynamicObject) o).className != null)
    return ((DynamicObject) o).className;
  return shortClassName(o);
}
static int stdcompare(Number a, Number b) {
  return cmp(a, b);
}

static int stdcompare(String a, String b) {
  return cmp(a, b);
}

static int stdcompare(long a, long b) {
  return a < b ? -1 : a > b ? 1 : 0;
}

static int stdcompare(Object a, Object b) {
  return cmp(a, b);
}

static Map<Class, Field[]> getDeclaredFields_cache = newDangerousWeakHashMap();

static Field[] getDeclaredFields_cached(Class c) {
  Field[] fields;
  synchronized(getDeclaredFields_cache) {
    fields = getDeclaredFields_cache.get(c);
    if (fields == null) {
      getDeclaredFields_cache.put(c, fields = c.getDeclaredFields());
      for (Field f : fields)
        makeAccessible(f);
    }
  }
  return fields;
}
static boolean startsWithDigit(String s) {
  return nempty(s) && isDigit(s.charAt(0));
}
static int countDots(String s) {
  int n = l(s), count = 0;
  for (int i = 0; i < n; i++) if (s.charAt(i) == '.') ++count;
  return count;
}
static boolean isSubclass(Class a, Class b) {
  return a != null && b != null && b.isAssignableFrom(a);
}
static <T> void sort(T[] a, Comparator<? super T> c) {
  Arrays.sort(a, c);
}

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

static void sort(int[] a) { if (a != null) 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 <A, B> Comparator<A> mapComparator(final Map<A, B> map) {
  return new Comparator<A>() {
    public int compare(A a, A b) {
      return cmp(map.get(a), map.get(b));
    }
  };
}
static CloseableIterableIterator emptyCloseableIterableIterator_instance = new CloseableIterableIterator() {
  public Object next() { throw fail(); }
  public boolean hasNext() { return false; }
};

static <A> CloseableIterableIterator<A> emptyCloseableIterableIterator() {
  return emptyCloseableIterableIterator_instance; 
}
static CloseableIterableIterator<String> linesFromReader(Reader r) {
  final BufferedReader br = bufferedReader(r);
  return iteratorFromFunction_f0_autoCloseable(new F0<String>() { public String get() { try {  return readLineFromReaderWithClose(br);  } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "ret readLineFromReaderWithClose(br);"; }}, _wrapIOCloseable(r));
}
static BufferedReader utf8bufferedReader(InputStream in) { try {
  return bufferedReader(_registerIOWrap(new InputStreamReader(in, "UTF-8"), in));
} catch (Exception __e) { throw rethrow(__e); } }

static BufferedReader utf8bufferedReader(File f) { try {
  return utf8bufferedReader(newFileInputStream(f));
} catch (Exception __e) { throw rethrow(__e); } }
static GZIPInputStream newGZIPInputStream(File f) {
  return gzInputStream(f);
}

static GZIPInputStream newGZIPInputStream(InputStream in) {
  return gzInputStream(in);
}
static File newFile(File base, String... names) {
  for (String name : names) base = new File(base, name);
  return base;
}

static File newFile(String name) {
  return name == null ? null : new File(name);
}

static File newFile(String base, String... names) {
  return newFile(newFile(base), names);
}
static int cmp(Number a, Number b) {
  return a == null ? b == null ? 0 : -1 : cmp(a.doubleValue(), b.doubleValue());
}

static int cmp(double a, double b) {
  return a < b ? -1 : a == b ? 0 : 1;
}

static int cmp(Object a, Object b) {
  if (a == null) return b == null ? 0 : -1;
  if (b == null) return 1;
  return ((Comparable) a).compareTo(b);
}


static List<VF1<Map>> _threadInfo_makers = synchroList();

static Object _threadInfo() {
  if (empty(_threadInfo_makers)) return null;
  HashMap map = new HashMap();
  pcallFAll(_threadInfo_makers, map);
  return map;
}
static Runnable asRunnable(Object o) {
  return toRunnable(o);
}


static void _inheritThreadInfo(Object info) {
  _threadInheritInfo(info);
}
static String javaTok_substringN(String s, int i, int j) {
  if (i == j) return "";
  if (j == i+1 && s.charAt(i) == ' ') return " ";
  return s.substring(i, j);
}
static String javaTok_substringC(String s, int i, int j) {
  return s.substring(i, j);
}
static boolean emptyString(String s) {
  return s == null || s.length() == 0;
}
static List<String> javaTokWithExisting(String s, List<String> existing) {
  ++javaTok_n;
  int nExisting = javaTok_opt && existing != null ? existing.size() : 0;
  ArrayList<String> tok = existing != null ? new ArrayList(nExisting) : new ArrayList();
  int l = s.length();
  
  int i = 0, n = 0;
  while (i < l) {
    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;
    }
    
    if (n < nExisting && javaTokWithExisting_isCopyable(existing.get(n), s, i, j))
      tok.add(existing.get(n));
    else
      tok.add(javaTok_substringN(s, i, j));
    ++n;
    i = j;
    if (i >= l) break;
    c = s.charAt(i);
    d = i+1 >= l ? '\0' : s.charAt(i+1);

    // scan for non-whitespace
    
    // Special JavaX syntax: 'identifier
    if (c == '\'' && Character.isJavaIdentifierStart(d) && i+2 < l && "'\\".indexOf(s.charAt(i+2)) < 0) {
      j += 2;
      while (j < l && Character.isJavaIdentifierPart(s.charAt(j)))
        ++j;
    } else if (c == '\'' || c == '"') {
      char opener = c;
      ++j;
      while (j < l) {
        if (s.charAt(j) == opener /*|| s.charAt(j) == '\n'*/) { // allow multi-line strings
          ++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;
      
    if (n < nExisting && javaTokWithExisting_isCopyable(existing.get(n), s, i, j))
      tok.add(existing.get(n));
    else
      tok.add(javaTok_substringC(s, i, j));
    ++n;
    i = j;
  }
  
  if ((tok.size() % 2) == 0) tok.add("");
  javaTok_elements += tok.size();
  return tok;
}

static boolean javaTokWithExisting_isCopyable(String t, String s, int i, int j) {
  return t.length() == j-i
    && s.regionMatches(i, t, 0, j-i); // << could be left out, but that's brave
}
static <A, B> Map<A, B> synchronizedMRUCache(int maxSize) {
  return synchroMap(new MRUCache(maxSize));
}
static String[] codeTokensAsStringArray(List<String> tok) {
  int n = max(0, (l(tok)-1)/2);
  String[] out = new String[n];
  for (int i = 0; i < n; i++)
    out[i] = tok.get(i*2+1);
  return out;
}
static int jfind(String s, String in) {
  return jfind(javaTok(s), in);
}

static int jfind(List<String> tok, String in) {
  return jfind(tok, 1, in);
}

static int jfind(List<String> tok, int startIdx, String in) {
  return jfind(tok, startIdx, in, null);
}

static int jfind(List<String> tok, String in, Object condition) {
  return jfind(tok, 1, in, condition);
}

static int jfind(List<String> tok, int startIdx, String in, Object condition) {
  //LS tokin = jfind_preprocess(javaTok(in));
  return jfind(tok, startIdx, javaTokForJFind_array(in), condition);
}

// assumes you preprocessed tokin
static int jfind(List<String> tok, List<String> tokin) {
  return jfind(tok, 1, tokin);
}

static int jfind(List<String> tok, int startIdx, List<String> tokin) {
  return jfind(tok, startIdx, tokin, null);
}

static int jfind(List<String> tok, int startIdx, String[] tokinC, Object condition) {
  return findCodeTokens(tok, startIdx, false, tokinC, condition);
}

static int jfind(List<String> tok, int startIdx, List<String> tokin, Object condition) {
  return jfind(tok, startIdx, codeTokensAsStringArray(tokin), condition);
}

static List<String> jfind_preprocess(List<String> tok) {
  for (String type : litlist("quoted", "id", "int"))
    replaceSublist(tok, ll("<", "", type, "", ">"), ll("<" + type + ">"));
  replaceSublist(tok, ll("\\", "", "*"), ll("\\*"));
  return tok;
}
// supports the usual quotings (", variable length double brackets) except ' quoting
static boolean isQuoted(String s) {
  
  
  if (isNormalQuoted(s)) return true; // use the exact version
  
  return isMultilineQuoted(s);
}
static boolean isIdentifier(String s) {
  return isJavaIdentifier(s);
}
static boolean checkTokCondition(Object condition, List<String> tok, int i) {
  if (condition instanceof TokCondition)
    return ((TokCondition) condition).get(tok, i);
  return checkCondition(condition, tok, i);
}
static boolean contains(Collection c, Object o) {
  return c != null && c.contains(o);
}

static boolean contains(Object[] x, Object o) {
  if (x != null)
    for (Object a : x)
      if (eq(a, o))
        return true;
  return false;
}

static boolean contains(String s, char c) {
  return s != null && s.indexOf(c) >= 0;
}

static boolean contains(String s, String b) {
  return s != null && s.indexOf(b) >= 0;
}

static boolean contains(BitSet bs, int i) {
  return bs != null && bs.get(i);
}


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

static <A> void replaceCollection(Collection<A> dest, Collection<A> src) {
  if (dest == src) return;
  dest.clear();
  dest.addAll(src);
}
static String joinSubList(List<String> l, int i, int j) {
  return join(subList(l, i, j));
}

static String joinSubList(List<String> l, int i) {
  return join(subList(l, i));
}


static String joinSubList(List<String> l, IntRange r) {
  return r == null ? null : joinSubList(l, r.start, r.end);
}

static void replaceListPart(List l, int i, int j, List l2) {
  replaceSublist(l, i, j, l2);
}
static ThreadLocal<Boolean> assertVerbose_value = new ThreadLocal();

static void assertVerbose(boolean b) {
  assertVerbose_value.set(b);
}

static boolean assertVerbose() { return isTrue(assertVerbose_value.get()); }
static <A> A assertEqualsVerbose(Object x, A y) {
  assertEqualsVerbose((String) null, x, y);
  return y;
}

// x = expected, y = actual
static <A> A assertEqualsVerbose(String msg, Object x, A y) {
  if (!eq(x, y)) {
    

    throw fail((msg != null ? msg + ": " : "") + "expected: "+ x + ", got: " + y);
  } else
    print("OK" + (empty(msg) ? "" : " " + msg) + ": " + /*sfu*/(x));
  return y;
}


static <A> A liftLast(List<A> l) {
  if (empty(l)) return null;
  int i = l(l)-1;
  A a = l.get(i);
  l.remove(i);
  return a;
}

static <A> List<A> liftLast(int n, List<A> l) {
  int i = l(l)-n;
  List<A> part = cloneSubList(l, i);
  removeSubList(l, i);
  return part;
}
static byte[] boolArrayToBytes(boolean[] a) {
  byte[] b = new byte[(l(a)+7)/8];
  for (int i = 0; i < l(a); i++)
    if (a[i])
      b[i/8] |= 1 << (i & 7);
  return b;
}
static boolean isDigit(char c) {
  return Character.isDigit(c);
}
static BufferedReader bufferedReader(Reader r) {
  return r instanceof BufferedReader ? (BufferedReader) r : _registerIOWrap(new BufferedReader(r), r);
}
static <A> CloseableIterableIterator<A> iteratorFromFunction_f0_autoCloseable(final F0<A> f, final AutoCloseable closeable) {
  class IFF2 extends CloseableIterableIterator<A> {
    A a;
    boolean done = false;
    
    public boolean hasNext() {
      getNext();
      return !done;
    }
    
    public A next() {
      getNext();
      if (done) throw fail();
      A _a = a;
      a = null;
      return _a;
    }
    
    void getNext() {
      if (done || a != null) return;
      a = f.get();
      done = a == null;
    }
    
    public void close() throws Exception {
      if (closeable != null) closeable.close();
    }
  };
  return new IFF2();
}
static String readLineFromReaderWithClose(BufferedReader r) { try {
  String s = r.readLine();
  if (s == null) r.close();
  return s;
} catch (Exception __e) { throw rethrow(__e); } }
static AutoCloseable _wrapIOCloseable(final AutoCloseable c) {
  return c == null ? null : new AutoCloseable() { public String toString() { return "c.close();\r\n    _registerIO(c, null, false);"; } public void close() throws Exception { c.close();
    _registerIO(c, null, false);
  }};
}

static <A> A _registerIOWrap(A wrapper, Object wrapped) {
  return wrapper;
}
static FileInputStream newFileInputStream(File path) throws IOException {
  return newFileInputStream(path.getPath());
}

static FileInputStream newFileInputStream(String path) throws IOException {
  FileInputStream f = new FileInputStream(path);
  _registerIO(f, path, true);
  return f;
}
static int gzInputStream_defaultBufferSize = 65536;

static GZIPInputStream gzInputStream(File f) { try {
  return gzInputStream(new FileInputStream(f));
} catch (Exception __e) { throw rethrow(__e); } }

static GZIPInputStream gzInputStream(File f, int bufferSize) { try {
  return gzInputStream(new FileInputStream(f), bufferSize);
} catch (Exception __e) { throw rethrow(__e); } }

static GZIPInputStream gzInputStream(InputStream in) {
  return gzInputStream(in, gzInputStream_defaultBufferSize);
}

static GZIPInputStream gzInputStream(InputStream in, int bufferSize) { try {
  return _registerIOWrap(new GZIPInputStream(in, gzInputStream_defaultBufferSize), in);
} catch (Exception __e) { throw rethrow(__e); } }


static Runnable toRunnable(final Object o) {
  if (o instanceof Runnable) return (Runnable) o;
  return new Runnable() {  public void run() { try {  callF(o) ;
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "callF(o)"; }};
}
static List<VF1<Map>> _threadInheritInfo_retrievers = synchroList();

static void _threadInheritInfo(Object info) {
  if (info == null) return;
  pcallFAll(_threadInheritInfo_retrievers, (Map) info);
}
static <A> ArrayList<A> litlist(A... a) {
  ArrayList l = new ArrayList(a.length);
  for (A x : a) l.add(x);
  return l;
}
// syntax 1: replace all occurrences of x in l with y
static <A> List<A> replaceSublist(List<A> l, List<A> x, List<A> y) {
  if (x == null) return l;
  
  int i = 0;
  while (true) {
    i = indexOfSubList(l, x, i);
    if (i < 0) break;
    
    replaceSublist(l, i, i+l(x), y);
    i += l(y);
  }
  return l;
}

// syntax 2: splice l at fromIndex-toIndex and replace middle part with y
static <A> List<A> replaceSublist(List<A> l, int fromIndex, int toIndex, List<A> y) {
  int n = y.size(), toIndex_new = fromIndex+n;
  if (toIndex_new < toIndex) {
    removeSubList(l, toIndex_new, toIndex);
    copyListPart(y, 0, l, fromIndex, n);
  } else {
    copyListPart(y, 0, l, fromIndex, toIndex-fromIndex);
    if (toIndex_new > toIndex)
      l.addAll(toIndex, subList(y, toIndex-fromIndex));
  }
  return l;
}


static <A> List<A> replaceSublist(List<A> l, IntRange r, List<A> y) {
  return replaceSublist(l, r.start, r.end, y);
}

static boolean isNormalQuoted(String s) {
  int l = l(s);
  if (!(l >= 2 && s.charAt(0) == '"' && lastChar(s) == '"')) return false;
  int j = 1;
  while (j < l)
    if (s.charAt(j) == '"')
      return j == l-1;
    else if (s.charAt(j) == '\\' && j+1 < l)
      j += 2;
    else
      ++j;
  return false;
}
static boolean isMultilineQuoted(String s) {
  if (!startsWith(s, "[")) return false;
  int i = 1;
  while (i < s.length() && s.charAt(i) == '=') ++i;
  return i < s.length() && s.charAt(i) == '[';
}
static boolean isJavaIdentifier(String s) {
  if (empty(s) || !Character.isJavaIdentifierStart(s.charAt(0)))
    return false;
  for (int i = 1; i < s.length(); i++)
    if (!Character.isJavaIdentifierPart(s.charAt(i)))
      return false;
  return true;
}
static void _registerIO(Object object, String path, boolean opened) {
}


static <A> int indexOfSubList(List<A> x, List<A> y) {
  return indexOfSubList(x, y, 0);
}

static <A> int indexOfSubList(List<A> x, List<A> y, int i) {
  outer: for (; i+l(y) <= l(x); i++) {
    for (int j = 0; j < l(y); j++)
      if (neq(x.get(i+j), y.get(j)))
        continue outer;
    return i;
  }
  return -1;
}

static <A> int indexOfSubList(List<A> x, A[] y, int i) {
  outer: for (; i+l(y) <= l(x); i++) {
    for (int j = 0; j < l(y); j++)
      if (neq(x.get(i+j), y[j]))
        continue outer;
    return i;
  }
  return -1;
}
static <A, B extends A> void copyListPart(List<B> a, int i1, List<A> b, int i2, int n) {
  if (a == null || b == null) return;
  for (int i = 0; i < n; i++)
    b.set(i2+i, a.get(i1+i));
}


// elements are put to front when added (not when accessed)
static class MRUCache<A, B> extends LinkedHashMap<A, B> {
  int maxSize = 10;

  MRUCache() {}
  MRUCache(int maxSize) {
  this.maxSize = maxSize;}
  
  protected boolean removeEldestEntry(Map.Entry eldest) {
    return size() > maxSize;
  }
  
  Object _serialize() {
    return ll(maxSize, cloneLinkedHashMap(this));
  }
  
  static MRUCache _deserialize(List l) {
    MRUCache m = new MRUCache();
    m.maxSize = (int) first(l);
    m.putAll((LinkedHashMap) second(l));
    return m;
  }
}static abstract class CloseableIterableIterator<A> extends IterableIterator<A> implements AutoCloseable {
  public void close() throws Exception {}
}static ThreadLocal<Boolean> DynamicObject_loading = new ThreadLocal();

static class DynamicObject {
  String className; // just the name, without the "main$"
  LinkedHashMap<String, Object> fieldValues;
  
  DynamicObject() {}
  // className = just the name, without the "main$"
  DynamicObject(String className) {
  this.className = className;}
  
  Map<String, Object> _map() { return fieldValues; }
  
  public String toString() {
    return getClass() == DynamicObject.class ? "dyn " + className
      : super.toString();
  }
}static abstract class TokCondition {
  abstract boolean get(List<String> tok, int i); // i = N Index
}static abstract class F0<A> {
  abstract A get();
}// you still need to implement hasNext() and next()
static abstract class IterableIterator<A> implements Iterator<A>, Iterable<A> {
  public Iterator<A> iterator() {
    return this;
  }
  
  public void remove() {
    unsupportedOperation();
  }
}

static <A, B> LinkedHashMap<A, B> cloneLinkedHashMap(Map<A, B> map) {
  return map == null ? new LinkedHashMap() : new LinkedHashMap(map);
}
static <A> A second(List<A> l) {
  return get(l, 1);
}

static <A> A second(Iterable<A> l) {
  if (l == null) return null;
  Iterator<A> it = iterator(l);
  if (!it.hasNext()) return null;
  it.next();
  return it.hasNext() ? it.next() : null;
}

static <A> A second(A[] bla) {
  return bla == null || bla.length <= 1 ? null : bla[1];
}


static <A, B> B second(Pair<A, B> p) {
  return p == null ? null : p.b;
}





static <A> A second(Producer<A> p) {
  if (p == null) return null;
  if (p.next() == null) return null;
  return p.next();
}


static char second(String s) {
  return charAt(s, 1);
}


static <A> Iterator<A> iterator(Iterable<A> c) {
  return c == null ? emptyIterator() : c.iterator();
}
static UnsupportedOperationException unsupportedOperation() {
  throw new UnsupportedOperationException();
}


static char charAt(String s, int i) {
  return s != null && i >= 0 && i < s.length() ? s.charAt(i) : '\0';
}

}