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 static main.DateStructures.*;

class main {

static class EnglishDateParser extends DateStructures {
  boolean assumeFuture = true; // e.g. for "tuesday" [not used]

  SomeDate parse(String s) {
    ProbabilisticParser1 parser = new ProbabilisticParser1();

    // action that parses a number
    ProbabilisticParser1.Action number = parser.new Any() {
      double calcProbabilityForMatchedText(String s) {
        return isInteger(s) ? 100 : 50;
      }
    };

    List<String> tok = javaTok(s);
    
    BasicLogicRule rule = parser.ruleFromActions(
      number,
      parser.new ConsumeToken("/"),
      number,
      parser.new ConsumeToken("/"),
      number
    );
    parser.addState(tok, rule).userObject = new F1<Matches, SomeDate>() { public SomeDate get(Matches m) { try { 
      return new Day(parseInt(m.unq(2)), new Month(parseInt(m.unq(1)), new Year(parseInt(m.unq(0)))));
     } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "new Day(parseInt($3), new Month(parseInt($2), new Year(parseInt($1))))"; }};
    
    parser.think();
    ProbabilisticParser1.State state = parser.bestDoneState();
    print(state);
    if (state != null) {
      Matches m = parser.stateToMatches(state);
      print(m);
      return (SomeDate) callF(state.userObject, m);
    }
  return null; }
}
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;
}
// 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);
}
// get purpose 1: access a list/array/map (safer version of x.get(y))

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

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

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

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

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

static Object get(Object o, String field) {
  try {
    if (o == 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 int parseInt(String s) {
  return emptyString(s) ? 0 : Integer.parseInt(s);
}

static int parseInt(char c) {
  return Integer.parseInt(str(c));
}
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 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 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 AutoCloseable tempInterceptPrintIfNotIntercepted(F1<String, Boolean> f) {
  return print_byThread().get() == null ? tempInterceptPrint(f) : null;
}
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 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 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
}
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 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 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 RuntimeException asRuntimeException(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static boolean emptyString(String s) {
  return s == null || s.length() == 0;
}
static String str(Object o) {
  return o == null ? "null" : o.toString();
}

static String str(char[] c) {
  return new String(c);
}
static void _handleError(Error e) {
  call(javax(), "_handleError", e);
}
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 <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 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 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 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 <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 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 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 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 Class javax() {
  return getJavaX();
}



//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 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 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 mc() {
  return main.class;
}
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 List<String> classNames(Collection l) {
  return getClassNames(l);
}

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

static Class getJavaX() { try {
  
  return __javax;
} catch (Exception __e) { throw rethrow(__e); } }
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 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 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> 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 <A> A setThreadLocal(ThreadLocal<A> tl, A value) {
  if (tl == null) return null;
  A old = tl.get();
  tl.set(value);
  return old;
}
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();
}
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 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 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;
}
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 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 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);
}


// 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(Enumeration<A> e) {
  ArrayList l = new ArrayList();
  if (e != null)
    while (e.hasMoreElements())
      l.add(e.nextElement());
  return l;
}


static <A> ArrayList<A> asList(ReverseChain<A> c) {
  return c == null ? emptyList() : c.toList();
}

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

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 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 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 Throwable getException(Runnable r) {
  try {
    callF(r);
    return null;
  } catch (Throwable e) {
    return 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 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); } }
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);
}



// 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);
  
}


// A top-down left-to-right parser using probabilistic states
static class ProbabilisticParser1 {
  ProbabilisticMachine<State> pm = new ProbabilisticMachine();
  boolean verbose = false;

  abstract class Action {
    String grammarClass;
    
    abstract void run(State state);
    
    //!include #1027987 // setExtraField, getExtraField
    
    String grammarClass() { return grammarClass /*(S) getExtraField(ef_grammarClass)*/; }
    Action setGrammarClass(String grammarClass) { this.grammarClass = grammarClass; return this; }
    
    // extra field names
    //static final S ef_grammarClass = "grammarClass";
  }
  
  abstract class Consumer extends Action {
    // override this or the next method
    double calcProbabilityForMatchedText(String s) { throw overrideMe(); }
    // tok is CNC starting & ending with code token
    double calcProbabilityForMatchedTokens(List<String> tok) { return calcProbabilityForMatchedText(join(tok)); }
    
    int minTokensToConsume = 0;

    @Override
    void run(State state) {
      int maxTokensToConsume = state.remainingTokens();
      
      if (verbose) print(this + ": maxTokensToConsume= " + maxTokensToConsume);
      
      for (int n = minTokensToConsume; n <= maxTokensToConsume; n++) {
        State s = state.prepareClone();
        s.iNextToken += n*2;
        List<String> tok = subList(state.tok, state.iNextToken, s.iNextToken-1);
        s.probability = multiplyPercentages(s.probability, calcProbabilityForMatchedTokens(tok));
        s.matches = revChainPlus(s.matches, pair(state, tok));
        pm.addState(s);
      }
    }
  }
  
   class ConsumeOneOfTokens extends Consumer implements IFieldsToList{
  Set<String> tokens;
  ConsumeOneOfTokens() {}
  ConsumeOneOfTokens(Set<String> tokens) {
  this.tokens = tokens;}
  public String toString() { return shortClassName(this) + "(" + tokens + ")"; }public Object[] _fieldsToList() { return new Object[] {tokens}; }

    { tokens = asCISet(tokens); }
    ConsumeOneOfTokens(String... tokens) { this.tokens = litciset(tokens); }
    
    double calcProbabilityForMatchedText(String s) {
      if (tokens.contains(s)) return empty(s) ? 90 : 100;
      if (empty(s)) return 50;
      return levenSimilarityIntIC_multi(s, tokens);
    }
  }
  
   class ConsumeToken extends Consumer implements IFieldsToList{
  String token;
  ConsumeToken() {}
  ConsumeToken(String token) {
  this.token = token;}
  public String toString() { return shortClassName(this) + "(" + token + ")"; }public Object[] _fieldsToList() { return new Object[] {token}; }

    double emptyProbability = 50;
    
    double calcProbabilityForMatchedText(String s) {
      return empty(s) ? emptyProbability : levenSimilarityIntIC(s, token);
    }
  }
  
   class Any extends Consumer implements IFieldsToList{
  Any() {}public Object[] _fieldsToList() { return null; }

    Any(String grammarClass) { setGrammarClass(grammarClass); }

    double calcProbabilityForMatchedText(String s) {
      return 90;
    }
    
    public String toString() { return joinNemptiesWithSpace("Any", grammarClass); }
  }
  
   class Filler extends Consumer implements IFieldsToList{
  Filler() {}
  public String toString() { return shortClassName(this) + "(" + ")"; }public Object[] _fieldsToList() { return null; }

    double calcProbabilityForMatchedTokens(List<String> tok) {
      return 100-countCodeTokensInReversedCNC(tok)*10;
    }
  }
  
   class EndOfInput extends Action implements IFieldsToList{
  EndOfInput() {}
  public String toString() { return shortClassName(this) + "(" + ")"; }public Object[] _fieldsToList() { return null; }

    void run(State state) {
      State s = state.prepareClone();
      if (!state.endOfInput()) s.probability /= 2;
      s.matches = revChainPlus(s.matches, pair(state, subList(s.tok, s.iNextToken)));
      pm.addState(s);
    }
  }

  class State extends ProbabilisticMachine.State {
    List<String> tok; // CNC
    int iNextToken = 1;
    ReverseChain<Pair<State, List<String>>> matches; // values: reversed CNC
    Object userObject; // copied around from state to state, e.g. reference to production

    public String toString() {
      return super.toString() + (" iNextToken=" + iNextToken + ", matches: ") + matchesFromAction();
    }
    
    ProbabilisticParser1 parser() { return ProbabilisticParser1.this; }

    List<Pair<Action, List<String>>> matchesFromAction() { return mapPairsA(s -> s.action(), matches); }
    
    Action action() { return remainingRule == null ? null : (Action) remainingRule.lhs; }
    
    boolean endOfInput() { return iNextToken >= l(tok); }
    int remainingTokens() { return (l(tok)-iNextToken)/2+1; }
    String nextToken() { return get(tok, iNextToken); }

    State emptyClone() { return new State(); }
    
    State prepareClone() {
      return copyFields(this, (State) super.prepareClone(), "tok", "iNextToken", "matches", "userObject");
    }
    void runAction(Object action) {
      assertSame(machine, pm);
      if (verbose) print("Running action: " + action + ", machine: " + machine);
      ((Action) action).run(this);
      if (verbose) print("Ran action: " + className(action));
    }
  }
  
  BasicLogicRule patternToRule(String pattern) {
    return ruleFromActions(
      listPlus(
        mapWithIndex(javaTok(pattern), (i, t) -> even(i)
          ? new Filler()
          : eq(t, "*") ? new Any() : new ConsumeToken(t)),
        new EndOfInput()));
  }
  
  BasicLogicRule ruleFromActions(Action... actions) {
    return ruleFromActions(asList(actions));
  }
  
  BasicLogicRule ruleFromActions(List<Action> actions) {
    return new BasicLogicRule(makeAnd(actions), formatFrag("parsed"));
  }

  // pattern e.g.: "Das * hat *.";
  void parse(String pattern, String input) {
    pm.reset();
    addState(javaTok(input), patternToRule(pattern));
    pm.think();
  }
  
  void parse(BasicLogicRule rule, String input) {
    pm.reset();
    addState(javaTok(input), rule);
    pm.think();
  }
  
  State addState(List<String> tok, BasicLogicRule rule) {
    State state = new State();
    state.tok = tok;
    state.remainingRule = curryLHS(rule);
    pm.addState(state);
    return state;
  }

  Matches stateToMatches(State state) {
    if (state == null) return null;
    List<String> out = new ArrayList();
    for (Pair<Action, List<String>> p : state.matchesFromAction())
      if (p.a instanceof Any || nempty(p.a.grammarClass()))
        out.add(join(p.b));
    return matches(out);
  }
  
  Matches bestMatches() { return stateToMatches(bestDoneState()); }
  State bestDoneState() { return first(pm.doneStates); }
  
  void think() { pm.think(); }
}// 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 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 fsi(int i) { return formatSnippetID(unq(i)); }
  String fsi() { return fsi(0); }
  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 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 abstract class F1<A, B> {
  abstract B get(A a);
}static class DateStructures {
  abstract static class SomeDate {}
  abstract static class SomeWeek extends SomeDate {}

  // years
  static class Year extends SomeDate implements IFieldsToList{
  int year;
  Year() {}
  Year(int year) {
  this.year = year;}
  public String toString() { return shortClassName(this) + "(" + year + ")"; }

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

  public int hashCode() {
    int h = 2751581;
    h = boostHashCombine(h, _hashCode(year));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {year}; }
}
  static class CurrentYearPlus extends SomeDate implements IFieldsToList{
  int nYears;
  CurrentYearPlus() {}
  CurrentYearPlus(int nYears) {
  this.nYears = nYears;}
  public String toString() { return shortClassName(this) + "(" + nYears + ")"; }

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

  public int hashCode() {
    int h = -283479056;
    h = boostHashCombine(h, _hashCode(nYears));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nYears}; }
}
  
  // months
  static class Month extends SomeDate implements IFieldsToList{
  int month;
  Year year;
  Month() {}
  Month(int month, Year year) {
  this.year = year;
  this.month = month;}
  public String toString() { return shortClassName(this) + "(" + month + ", " + year + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Month)) return false;
    Month x =  (Month) o;
    return eq(month, x.month) && eq(year, x.year);
}

  public int hashCode() {
    int h = 74527328;
    h = boostHashCombine(h, _hashCode(month));
    h = boostHashCombine(h, _hashCode(year));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {month, year}; }
}
  static class CurrentMonthPlus extends SomeDate implements IFieldsToList{
  int nMonths;
  CurrentMonthPlus() {}
  CurrentMonthPlus(int nMonths) {
  this.nMonths = nMonths;}
  public String toString() { return shortClassName(this) + "(" + nMonths + ")"; }

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

  public int hashCode() {
    int h = -1003838751;
    h = boostHashCombine(h, _hashCode(nMonths));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nMonths}; }
}
  
  // weeks
  static class Week extends SomeWeek implements IFieldsToList{
  int week;
  Year year;
  Week() {}
  Week(int week, Year year) {
  this.year = year;
  this.week = week;}
  public String toString() { return shortClassName(this) + "(" + week + ", " + year + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Week)) return false;
    Week x =  (Week) o;
    return eq(week, x.week) && eq(year, x.year);
}

  public int hashCode() {
    int h = 2692116;
    h = boostHashCombine(h, _hashCode(week));
    h = boostHashCombine(h, _hashCode(year));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {week, year}; }
}
  static class CurrentWeekPlus extends SomeWeek implements IFieldsToList{
  int nWeeks;
  CurrentWeekPlus() {}
  CurrentWeekPlus(int nWeeks) {
  this.nWeeks = nWeeks;}
  public String toString() { return shortClassName(this) + "(" + nWeeks + ")"; }

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

  public int hashCode() {
    int h = 633919527;
    h = boostHashCombine(h, _hashCode(nWeeks));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nWeeks}; }
}

  // days
  static class Day extends SomeDate implements IFieldsToList{
  int day;
  Month month;
  Day() {}
  Day(int day, Month month) {
  this.month = month;
  this.day = day;}
  public String toString() { return shortClassName(this) + "(" + day + ", " + month + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Day)) return false;
    Day x =  (Day) o;
    return eq(day, x.day) && eq(month, x.month);
}

  public int hashCode() {
    int h = 68476;
    h = boostHashCombine(h, _hashCode(day));
    h = boostHashCombine(h, _hashCode(month));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {day, month}; }
}
  static class TodayPlus extends SomeDate implements IFieldsToList{
  int nDays;
  TodayPlus() {}
  TodayPlus(int nDays) {
  this.nDays = nDays;}
  public String toString() { return shortClassName(this) + "(" + nDays + ")"; }

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

  public int hashCode() {
    int h = 123418715;
    h = boostHashCombine(h, _hashCode(nDays));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nDays}; }
}

  // weekdays
  static class Weekday extends SomeDate implements IFieldsToList{
  static final String _fieldOrder = "weekday week";
  int weekday;
  SomeWeek week;
  Weekday() {}
  Weekday(int weekday, SomeWeek week) {
  this.week = week;
  this.weekday = weekday;}
  public String toString() { return shortClassName(this) + "(" + weekday + ", " + week + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Weekday)) return false;
    Weekday x =  (Weekday) o;
    return eq(weekday, x.weekday) && eq(week, x.week);
}

  public int hashCode() {
    int h = -1403451640;
    h = boostHashCombine(h, _hashCode(weekday));
    h = boostHashCombine(h, _hashCode(week));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {weekday, week}; }
} // weekday is in Java count (1=Sunday)

  // hours
  static class Hour extends SomeDate implements IFieldsToList{
  static final String _fieldOrder = "hour isPM day";
  int hour;
  Boolean isPM;
  Day day;
  Hour() {}
  Hour(int hour, Boolean isPM, Day day) {
  this.day = day;
  this.isPM = isPM;
  this.hour = hour;}
  public String toString() { return shortClassName(this) + "(" + hour + ", " + isPM + ", " + day + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Hour)) return false;
    Hour x =  (Hour) o;
    return eq(hour, x.hour) && eq(isPM, x.isPM) && eq(day, x.day);
}

  public int hashCode() {
    int h = 2255364;
    h = boostHashCombine(h, _hashCode(hour));
    h = boostHashCombine(h, _hashCode(isPM));
    h = boostHashCombine(h, _hashCode(day));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {hour, isPM, day}; }
}
  static class CurrentHourPlus extends SomeDate implements IFieldsToList{
  int nHours;
  CurrentHourPlus() {}
  CurrentHourPlus(int nHours) {
  this.nHours = nHours;}
  public String toString() { return shortClassName(this) + "(" + nHours + ")"; }

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

  public int hashCode() {
    int h = 1011201559;
    h = boostHashCombine(h, _hashCode(nHours));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nHours}; }
}

  // minutes
  static class Minute extends SomeDate implements IFieldsToList{
  static final String _fieldOrder = "minute hour";
  int minute;
  Hour hour;
  Minute() {}
  Minute(int minute, Hour hour) {
  this.hour = hour;
  this.minute = minute;}
  public String toString() { return shortClassName(this) + "(" + minute + ", " + hour + ")"; }

public boolean equals(Object o) {
if (!(o instanceof Minute)) return false;
    Minute x =  (Minute) o;
    return eq(minute, x.minute) && eq(hour, x.hour);
}

  public int hashCode() {
    int h = -1990159820;
    h = boostHashCombine(h, _hashCode(minute));
    h = boostHashCombine(h, _hashCode(hour));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {minute, hour}; }
}
  static class CurrentMinutePlus extends SomeDate implements IFieldsToList{
  int nMinutes;
  CurrentMinutePlus() {}
  CurrentMinutePlus(int nMinutes) {
  this.nMinutes = nMinutes;}
  public String toString() { return shortClassName(this) + "(" + nMinutes + ")"; }

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

  public int hashCode() {
    int h = -1844800505;
    h = boostHashCombine(h, _hashCode(nMinutes));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {nMinutes}; }
}
}
static  class BasicLogicRule implements IFieldsToList, Transformable, Visitable{
  Object lhs;
  Object rhs;
  BasicLogicRule() {}
  BasicLogicRule(Object lhs, Object rhs) {
  this.rhs = rhs;
  this.lhs = lhs;}

public boolean equals(Object o) {
if (!(o instanceof BasicLogicRule)) return false;
    BasicLogicRule x =  (BasicLogicRule) o;
    return eq(lhs, x.lhs) && eq(rhs, x.rhs);
}

  public int hashCode() {
    int h = -1439627508;
    h = boostHashCombine(h, _hashCode(lhs));
    h = boostHashCombine(h, _hashCode(rhs));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {lhs, rhs}; }
public Object transformUsing(IF1 f) { return new BasicLogicRule(f.get(lhs), f.get(rhs)); }
public void visitUsing(IVF1 f) { f.get(lhs); f.get(rhs); }

  Object trail;
    
  public String toString() {
    return lhs + " => " + rhs;
  }
}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 class ProbabilisticMachine<A extends ProbabilisticMachine.State> {
  transient TreeSetWithDuplicates < A > doneStates = new TreeSetWithDuplicates<>(byProbability());
  transient TreeSetWithDuplicates < A > states = new TreeSetWithDuplicates<>(byProbability());
  transient TreeSetWithDuplicates < A > steppableStates = new TreeSetWithDuplicates<>(byProbability());
  transient TreeSetWithDuplicates < A > droppedStates = new TreeSetWithDuplicates<>(byProbability());
  transient int stateCount;

  boolean verbose = false;
  double cutoffPercentage = 50;
  
  Comparator<A> byProbability() { return (a, b) -> cmp(b.probability, a.probability); }
  
  abstract static class State {
    ProbabilisticMachine machine;
    int number;
    State prev;
    double probability = 100;
    BasicLogicRule remainingRule;

    public String toString() {
      return toStringWithFields(this, "number", "probability") + stringIf(done(), " (done)");
    }

    boolean done() { return remainingRule == null; }
    Object action() { return remainingRule == null ? null : remainingRule.lhs; }
    
    void step() { if (!done()) runAction(action()); }
    
    abstract void runAction(Object action);
    abstract State emptyClone();
    
    State prepareClone() {
      State s = emptyClone();
      copyFields(this, s, "machine", "probability");
      s.prev = this;
      s.remainingRule = optCast(BasicLogicRule.class,remainingRule.rhs);
      return s;
    }
  }
  
  void addState(A s) {
    if (verbose) print("Adding state to machine " + this + ": " + s);
    s.machine = this;
    if (s.number == 0) s.number = ++stateCount;
    if (s.probability < cutoffPercentage) { droppedStates.add(s); return; }
    addToCollections(s, states, steppableStates);
    if (s.done()) doneStates.add(s);
    if (verbose) printStats();
  }
  
  boolean stepFirstUnstepped() {
    A s = popFirst(steppableStates); if (s == null) return false;
    { s.step(); return true; }
  }

  void reset() {
    clearAll(doneStates, states, steppableStates, droppedStates);
    stateCount = 0;
  }

  void think() {
    while  (stepFirstUnstepped()) { ping(); }
  }

  List<A> bestStates(int n) {
    return takeFirst(n, doneStates);
  }
  
  void printStats() {
    print("States: " + stats(states) + ", done: " + stats(doneStates) + ", steppable: " + stats(steppableStates) + ", dropped: " + stats(droppedStates));
  }
  
  String stats(TreeSetWithDuplicates<A> ts) {
    return l(ts) + (empty(ts) ? "" : " (best: " + iround(first(ts).probability) + ")");
  }
}static interface IFieldsToList {
  Object[] _fieldsToList();
}static interface IF1<A, B> {
  B get(A a);
}static class ReverseChain<A> implements Iterable<A> {
  A element;
  ReverseChain<A> prev;
  int size;
  
  ReverseChain() {}
  ReverseChain(ReverseChain<A> prev, A element) {
  this.element = element;
  this.prev = prev;
    if (prev == null) size = 1;
    else {
      prev.check();
      size = prev.size+1;
    }
  }
  
  void check() {
    if (size < 1) throw fail("You called the ReverseChain default constructor. Don't do that");
  }
  
  public String toString() {
    return str(toList());
  }
  
  ArrayList<A> toList() {
    check();
    ArrayList<A> l = emptyList(size);
    for (int i = 0; i < size; i++) l.add(null);
    int i = size;
    ReverseChain<A> c = this;
    while (c != null) {
      l.set(--i, c.element);
      c = c.prev;
    }
    return l;
  }
  
  public Iterator<A> iterator() { return toList().iterator(); }
}static interface Visitable {
  void visitUsing(IVF1 f);
}
static interface Transformable {
  Object transformUsing(IF1 f);
}
static interface IVF1<A> {
  void get(A a);
}

// TreeSet variant allowing multiple elements which are considered
// equal by the comparator but not by eq().
// All operations O(log n) with n being the number of _different_ elements.
static class TreeSetWithDuplicates<A> extends AbstractSet<A> {
  TreeSet<Set<A>> internal;
  Comparator<A> comparator;
  int size;
  
  TreeSetWithDuplicates(Comparator<A> comparator) {
  this.comparator = comparator;
    internal = new TreeSet<Set<A>>((setA, setB) -> {
      return comparator.compare(main.first(setA), main.first(setB));
    });
  }
  
  // We do NOT use HashSet anymore because undefined iteration order
  // is just a bitch
  transient  IF0<Set<A>> makeInternalSet;
Set<A> makeInternalSet() { return makeInternalSet != null ? makeInternalSet.get() : makeInternalSet_base(); }
final Set<A> makeInternalSet_fallback(IF0<Set<A>> _f) { return _f != null ? _f.get() : makeInternalSet_base(); }
Set<A> makeInternalSet_base() { return new LinkedHashSet(); }
  
  public boolean add(A a) {
    Set<A> newSet = addAndReturnCollection(makeInternalSet(), a);
    Set<A> found = navigableSet_find(internal, newSet);
    if (found != null) {
      if (!found.add(a)) return false;
    } else
      internal.add(newSet);
    ++size;
    return true;
  }
  
  public boolean remove(Object a) {
    Set<A> newSet = addAndReturnCollection(makeInternalSet(), (A) a);
    Set<A> found = navigableSet_find(internal, newSet);
    if (found == null) return false;
    if (l(found) == 1)
      internal.remove(found);
    else
      found.remove(a);
    --size;
    return true;
  }
  
  A first() {
    return main.first(main.first(internal));
  }
  
  public IterableIterator<A> iterator() {
    return nestedIterator(internal, __1 -> __1.iterator());
  }
  
  public int size() { return size; }
  
  // may return null
  Set<A> tiedForFirst() { return main.first(internal); }
  
  public boolean contains(Object a) {
    Set<A> newSet = addAndReturnCollection(makeInternalSet(), (A) a);
    return navigableSet_find(internal, newSet) != null;
  }
}

static interface IF0<A> {
  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 RuntimeException overrideMe() {
  throw fail("Override me!");
}
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 double multiplyPercentages(double a, double b) {
  return a*b/100;
}
static <A> ReverseChain<A> revChainPlus(ReverseChain<A> chain, A a) {
  return new ReverseChain<A>(chain, a);
}
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 TreeSet<String> asCISet(Iterable<String> c) {
  return toCaseInsensitiveSet(c);
}

static TreeSet<String> asCISet(String... x) {
  return toCaseInsensitiveSet(x);
}
static TreeSet<String> litciset(String... items) {
  TreeSet<String> set = caseInsensitiveSet();
  for (String a : items) set.add(a);
  return set;
}


static int levenSimilarityIntIC_multi(String a, Collection<String> b) {
  if (empty(b)) return 0;
  Lowest<String> bestRelDiff = new Lowest(); // 0 to 1
  for (String key : b) {
    int n = max(l(a), l(key));
    if (!bestRelDiff.has())
      bestRelDiff.put(key, doubleRatio(levenIC(a, key), n));
    else {
      int limit = iceil(bestRelDiff.score*n);
      int diff = leven_limitedIC(a, key, limit);
      double percentDiff = doubleRatio(diff*100, n);
      bestRelDiff.put(key, doubleRatio(diff, n));
    }
  }
  return iround((1-bestRelDiff.score)*100);
}
static int levenSimilarityIntIC(String a, String b) {
  int n = max(l(a), l(b));
  return intPercentRatio(n-levenIC(a, b), n);
}
static String joinNemptiesWithSpace(String... strings) {
  return joinNempties(" ", strings);
}

static String joinNemptiesWithSpace(Collection<String> strings) {
  return joinNempties(" ", strings);
}
static int countCodeTokensInReversedCNC(List<String> tok) {
  return (l(tok)+1)/2;
}
static <A, B, C> List<Pair<C, B>> mapPairsA(final Object f, Iterable<Pair<A, B>> l) {
  return mapPairA(f, l);
}

static <A, B, C> List<Pair<C, B>> mapPairsA(F1<A, C> f, Iterable<Pair<A, B>> l) {
  return mapPairA(f, l);
}

static <A, B, C> List<Pair<C, B>> mapPairsA(IF1<A, C> f, Iterable<Pair<A, B>> l) {
  return mapPairA(f, l);
}
static <A> A copyFields(Object x, A y, String... fields) {
  if (empty(fields)) { // assume we should copy all fields
    Map<String, Object> map = objectToMap(x);
    for (String field : map.keySet())
      setOpt(y, field, map.get(field));
  } else 
    for (String field : fields) {
      Object o = getOpt(x, field);
      if (o != null)
        setOpt(y, field, o);
    }
  return y;
}

static <A> A copyFields(Object x, A y, Collection<String> fields) {
  return copyFields(x, y, asStringArray(fields));
}
static void assertSame(String msg, Object a, Object b) {
  if (a != b)
    throw fail(msg);
}

static void assertSame(Object a, Object b) {
  if (a != b)
    throw fail();
}
static <A> List<A> listPlus(Collection<A> l, A... more) {
  return concatLists(l, asList(more));
}
static <A, B> List<B> mapWithIndex(List<A> l, IF2<Integer, A, B> f) {
  List<B> out = emptyList(l);
  for (int i = 0; i < l(l); i++)
    out.add(f.get(i, l.get(i)));
  return out;
}
static boolean even(int i) {
  return (i & 1) == 0;
}

static boolean even(long i) {
  return (i & 1) == 0;
}
static Object makeAnd(Object... l) {
  return makeAnd(asList(l));
}

static Object makeAnd(Collection l) {
  return foldr_noSeed((a, b) -> new And(a, b), l);
}
static Object formatFrag(String starPattern, Object... args) {
  return formatWithFragmentsAndDollarSymVars(starPattern, args);
}
static BasicLogicRule curryLHS(BasicLogicRule rule) {
  return curryLHS_BasicLogicRule(rule);
}
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 Matches matches(String... m) {
  return new Matches(m);
}

static Matches matches(List<String> m) {
  return new Matches(toStringArray(m));
}
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 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 String formatSnippetID(String id) {
  return "#" + parseSnippetID(id);
}

static String formatSnippetID(long id) {
  return "#" + id;
}
static String fsi(String id) {
  return formatSnippetID(id);
}
static List<String> quoteAll(Collection<String> l) {
  List<String> x = new ArrayList();
  for (String s : l)
    x.add(quote(s));
  return x;
}
static int _hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
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 int boostHashCombine(int a, int b) {
  return a ^ (b + 0x9e3779b9 + (a << 6) + (a >> 2));
}
static int hashCodeFor(Object a) {
  return a == null ? 0 : a.hashCode();
}
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 String toStringWithFields(Object o, String... fields) {
  return stdToStringWithFields(o, fields);
}
static String stringIf(boolean b, String s) {
  return stringIfTrue(b, s);
}
static int done_minPrint = 10;

static long done(long startTime, String desc) {
  long time = now()-startTime;
  if (time >= done_minPrint)
    print(desc + " [" + time + " ms]");
  return time;
}

static long done(String desc, long startTime) {
  return done(startTime, desc);
}

static long done(long startTime) {
  return done(startTime, "");
}
static <A> A optCast(Class<A> c, Object o) {
  return isInstance(c, o) ? (A) o : null;
}
static <A> boolean addToCollections(A a, Collection<A>... l) {
  boolean change = false;
  for (Collection<A> c : unnull(l)) if (c != null && c.add(a)) change = true;
  return change;
}
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 void clearAll(Object... l) {
  for (Object o : l) callOpt(o, "clear");
}
static <A> List<A> takeFirst(List<A> l, int n) {
  return l(l) <= n ? l : newSubListOrSame(l, 0, n);
}

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

static String takeFirst(int n, String s) { return substring(s, 0, n); }
static String takeFirst(String s, int n) { return substring(s, 0, n); }

static <A> List<A> takeFirst(int n, Iterable<A> i) {
  if (i == null) return null;
  List l = new ArrayList();
  Iterator<A> it = i.iterator();
  for (int _repeat_0 = 0; _repeat_0 < n; _repeat_0++)  { if (it.hasNext()) l.add(it.next()); else break; }
  return l;
}

static int iround(double d) {
  return (int) Math.round(d);
}

static int iround(Number n) {
  return iround(toDouble(n));
}
static <A> Iterator<A> iterator(Iterable<A> c) {
  return c == null ? emptyIterator() : c.iterator();
}
static <B, A extends Collection<B>> A addAndReturnCollection(A c, B a) {
  if (c != null) c.add(a);
  return c;
}
static <A> A navigableSet_find(NavigableSet<A> set, A a) {
  if (set == null || a == null) return null;
  A b = set.floor(a);
  return b != null && sortedSet_compare(set, a, b) == 0 ? b : null;
}
// TODO: clean up these type signatures?

static <A, B, C extends Iterator<B>> IterableIterator<B> nestedIterator(final Iterable<A> c, final F1<A, C> makeInnerIterator) {
  return nestedIterator(iterator(c), makeInnerIterator);
}

static <A, B, C extends Iterator<B>> IterableIterator<B> nestedIterator(Collection<A> c, final IF1<A, C> makeInnerIterator) {
  return nestedIterator(iterator(c), makeInnerIterator);
}

static <A, B, C extends Iterator<B>> IterableIterator<B> nestedIterator(Iterator<A> it1, IF1<A, C> makeInnerIterator) {
  return nestedIterator(it1, toF1(makeInnerIterator));
}

static <A, B, C extends Iterator<B>> IterableIterator<B> nestedIterator(final Iterator<A> it1, final F1<A, C> makeInnerIterator) {
  if (it1 == null || !it1.hasNext()) return emptyIterableIterator();
  return iff(new F0() {
    A a;
    Iterator<B> innerIterator;
    
    { nextOuter(); }
    
    void nextOuter() {
      a = it1.next();
      innerIterator = callF(makeInnerIterator, a);
    }
    
    public Object get() {
      while (true) { ping();
        if (innerIterator.hasNext())
          return innerIterator.next();
        if (!it1.hasNext()) return endMarker();
        nextOuter();
      }
    }
  });
}
static UnsupportedOperationException unsupportedOperation() {
  throw new UnsupportedOperationException();
}


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 TreeSet<String> toCaseInsensitiveSet(Iterable<String> c) {
  if (isCISet(c)) return (TreeSet) c;
  TreeSet<String> set = caseInsensitiveSet();
  addAll(set, c);
  return set;
}

static TreeSet<String> toCaseInsensitiveSet(String... x) {
  TreeSet<String> set = caseInsensitiveSet();
  addAll(set, x);
  return set;
}
static TreeSet<String> caseInsensitiveSet() {
  return caseInsensitiveSet_treeSet();
}

static TreeSet<String> caseInsensitiveSet(Collection<String> c) {
  return caseInsensitiveSet_treeSet(c);
}
static <A> TreeSet<A> treeSet() {
  return new TreeSet();
}
static double doubleRatio(double x, double y) {
  return y == 0 ? 0 : x/y;
}
static int levenIC(String s, String t) {
  // degenerate cases
  if (eqic(s, t)) return 0;
  int ls = l(s), lt = l(t);
  if (ls == 0) return lt;
  if (lt == 0) return ls;

  // create two work vectors of integer distances
  int[] v0 = new int[lt + 1];
  int[] v1 = new int[lt + 1];

  // initialize v0 (the previous row of distances)
  // this row is A[0][i]: edit distance for an empty s
  // the distance is just the number of characters to delete from t
  for (int i = 0; i < v0.length; i++) v0[i] = i;

  for (int i = 0; i < ls; i++) {
      // calculate v1 (current row distances) from the previous row v0

      // first element of v1 is A[i+1][0]
      //   edit distance is delete (i+1) chars from s to match empty t
      v1[0] = i + 1;

      // use formula to fill in the rest of the row
      for (int j = 0; j < lt; j++) {
          int cost = equalsIgnoreCase(s.charAt(i), t.charAt(j)) ? 0 : 1;
          v1[j + 1] = Math.min(Math.min(
            v1[j] + 1,      // delete
            v0[j + 1] + 1), // insert
            v0[j] + cost);  // edit
      }

      // swap arrays
      int[] v = v1; v1 = v0; v0 = v;
  }

  return v0[lt];
}
static int iceil(double d) {
  return (int) Math.ceil(d);
}
static int leven_limitedIC(String left, String right, int threshold) {
  if (--threshold < 0) return 0;

  int n = l(left);  // length of left
  int m = l(right); // length of right

  // if one string is empty, the edit distance is necessarily the length
  // of the other
  if (n == 0)
    return m <= threshold ? m : threshold+1;
  if (m == 0)
    return n <= threshold ? n : threshold+1;
    
  // if length difference is > threshold, just bail out
  if (abs(m-n) > threshold) return threshold+1;

  if (n > m) {
      // swap the two strings to consume less memory
      final String tmp = left;
      left = right;
      right = tmp;
      n = m;
      m = right.length();
  }

  int[] p = new int[n + 1]; // 'previous' cost array, horizontally
  int[] d = new int[n + 1]; // cost array, horizontally
  int[] tempD; // placeholder to assist in swapping p and d

  // fill in starting table values
  final int boundary = Math.min(n, threshold) + 1;
  for (int i = 0; i < boundary; i++) {
      p[i] = i;
  }
  // these fills ensure that the value above the rightmost entry of our
  // stripe will be ignored in following loop iterations
  Arrays.fill(p, boundary, p.length, Integer.MAX_VALUE);
  Arrays.fill(d, Integer.MAX_VALUE);

  // iterates through t - USE LONG to fix JVM SAFE POINTS.
  for (long _j = 1; _j <= m; _j++) {
      int j = (int) _j;
      final char rightJ = right.charAt(j - 1); // jth character of right
      d[0] = j;

      // compute stripe indices, constrain to array size
      final int min = Math.max(1, j - threshold);
      final int max = j > Integer.MAX_VALUE - threshold ? n : Math.min(
              n, j + threshold);

      // the stripe may lead off of the table if s and t are of different
      // sizes
      if (min > max) {
          return threshold+1;
      }

      // ignore entry left of leftmost
      if (min > 1) {
          d[min - 1] = Integer.MAX_VALUE;
      }

      // iterates through [min, max] in s
      for (int i = min; i <= max; i++) {
          if (equalsIgnoreCase(left.charAt(i - 1), rightJ)) {
              // diagonally left and up
              d[i] = p[i - 1];
          } else {
              // 1 + minimum of cell to the left, to the top, diagonally
              // left and up
              d[i] = 1 + Math.min(Math.min(d[i - 1], p[i]), p[i - 1]);
          }
      }

      // copy current distance counts to 'previous row' distance counts
      tempD = p;
      p = d;
      d = tempD;
  }

  // if p[n] is greater than the threshold, there's no guarantee on it
  // being the correct
  // distance
  if (p[n] <= threshold) {
      return p[n];
  }
  return threshold+1;
}
static int intPercentRatio(double x, double y) {
  return ratioToIntPercent(x, y);
}
static String joinNempties(String sep, String... strings) {
  return joinStrings(sep, strings);
}

static String joinNempties(String sep, Collection<String> strings) {
  return joinStrings(sep, strings);
}
static <A, B, C> List<Pair<C, B>> mapPairA(final Object f, Iterable<Pair<A, B>> l) {
  return map(l, new F1<Pair<A, B>, Pair<C, B>>() { public Pair<C, B> get(Pair<A, B> p) { try { 
    return p == null ? null : pair((C) callF(f, p.a), p.b);
   } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "p == null ? null : pair((C) callF(f, p.a), p.b)"; }});
}

static <A, B, C> List<Pair<C, B>> mapPairA(final F1<A, C> f, Iterable<Pair<A, B>> l) {
  return mapPairA((Object) f, l);
}

static <A, B, C> List<Pair<C, B>> mapPairA(final IF1<A, C> f, Iterable<Pair<A, B>> l) {
  return mapPairA((Object) f, l);
}
// o is either a map already (string->object) or an arbitrary object,
// in which case its fields are converted into a map.
static Map<String, Object> objectToMap(Object o) { try {
  if (o instanceof Map) return (Map) o;
  
  TreeMap<String, Object> map = new TreeMap();
  Class c = o.getClass();
  while (c != Object.class) {
    Field[] fields = c.getDeclaredFields();
    for (final Field field : fields) {
      if ((field.getModifiers() & Modifier.STATIC) != 0)
        continue;
      field.setAccessible(true);
      final Object value = field.get(o);
      if (value != null)
        map.put(field.getName(), value);
    }
    c = c.getSuperclass();
  }
  
  // XXX NEW - hopefully this doesn't break anything
  if (o instanceof DynamicObject)
    map.putAll(((DynamicObject) o).fieldValues);

  return map;
} catch (Exception __e) { throw rethrow(__e); } }

// same for a collection (convert each element)
static List<Map<String, Object>> objectToMap(Iterable l) {
  if (l == null) return null;
  List x = new ArrayList();
  for (Object o : l)
    x.add(objectToMap(o));
  return x;
}
static Field setOpt_findField(Class c, String field) {
  HashMap<String, Field> map;
  synchronized(getOpt_cache) {
    map = getOpt_cache.get(c);
    if (map == null)
      map = getOpt_makeCache(c);
  }
  return map.get(field);
}

static void setOpt(Object o, String field, Object value) { try {
  if (o == null) return;
  
  
  
  Class c = o.getClass();
  HashMap<String, Field> map;
  
  if (getOpt_cache == null)
    map = getOpt_makeCache(c); // in class init
  else synchronized(getOpt_cache) {
    map = getOpt_cache.get(c);
    if (map == null)
      map = getOpt_makeCache(c);
  }
  
  if (map == getOpt_special) {
    if (o instanceof Class) {
      setOpt((Class) o, field, value);
      return;
    }
    
    // It's probably a subclass of Map. Use raw method
    setOpt_raw(o, field, value);
    return;
  }
  
  Field f = map.get(field);
  
  if (f != null)
    { smartSet(f, o, value); return; } // possible improvement: skip setAccessible
  
    if (o instanceof DynamicObject)
      setDyn(((DynamicObject) o), field, value);
  
} catch (Exception __e) { throw rethrow(__e); } }

static void setOpt(Class c, String field, Object value) {
  if (c == null) return;
  try {
    Field f = setOpt_findStaticField(c, field); // TODO: optimize
    if (f != null)
      smartSet(f, null, value);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
}
  
static Field setOpt_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) {
        makeAccessible(f);
        return f;
      }
    _c = _c.getSuperclass();
  } while (_c != null);
  return null;
}
static String[] asStringArray(Collection<String> c) {
  return toStringArray(c);
}

static String[] asStringArray(Object o) {
  return toStringArray(o);
}

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

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

static <A> A foldr_noSeed(F2<A, A, A> f, Collection<A> l) {
  return foldr_noSeed((Object) f, l);
}

static <A> A foldr_noSeed(IF2<A, A, A> f, Collection<A> l) {
  return foldr_noSeed((Object) f, l);
}

static <A> A foldr_noSeed(Object f, Collection<A> l) {
  Iterator<A> it = reversedIterator(asList(l));
  if (!it.hasNext()) return null;
  A a = it.next();
  while (it.hasNext())
    a = (A) callF(f, it.next(), a);
  return a;
}
static Object formatWithFragmentsAndDollarSymVars(String starPattern, Object... args) {
  List<String> tok = javaTok(starPattern);
  int iArg = 0, i = 1;
  List out = new ArrayList();
  while (i < l(tok)) {
    int j = smartIndexOfAsteriskOrDollarVar(tok, i);
    if (j > i)
      out.add(new Fragment(joinSubList(tok, i, j-1)));
    if (j < l(tok)) {
      String t = tok.get(j);
      if (eq(t, "*"))
        out.add(get(args, iArg++));
      else
        out.add(new SymVar(t));
    }
    i = j+2;
  }
  return l(out) == 1 ? first(out) : out;
}
static BasicLogicRule curryLHS_BasicLogicRule(BasicLogicRule rule) {
  if (rule == null) return null;
  while (licensed()) {
    Object lhs = rule.lhs;
    if (lhs instanceof And) {
Object a =  ((And) lhs).a;
Object b =  ((And) lhs).b;
      BasicLogicRule r = rule;
      rule = new BasicLogicRule(a, curryLHS(new BasicLogicRule(b, rule.rhs)));
      rule.trail = r.trail;
    } else break;
  }
  return rule;
}
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 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 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;
  }


public static long parseSnippetID(String snippetID) {
  long id = Long.parseLong(shortenSnippetID(snippetID));
  if (id == 0) throw fail("0 is not a snippet ID");
  return id;
}
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 String stdToStringWithFields(Object o, String... fields) {
  if (o == null) return "null";
  String name = shortClassName(o);
  if (empty(fields)) return name;
  return name + "(" + joinWithComma(mapNonNulls(fields, field -> {
    Object value = getOpt(o, field);
    if (value == null) return null;
    return field + "=" + str(value);
  })) + ")";
}
static String stringIfTrue(boolean b, String s) {
  return b ? s : "";
}
static long now_virtualTime;
static long now() {
  return now_virtualTime != 0 ? now_virtualTime : System.currentTimeMillis();
}

static boolean isInstance(Class type, Object arg) {
  return type.isInstance(arg);
}
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 <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 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 <A> List<A> newSubListOrSame(List<A> l, int startIndex) {
  return newSubListOrSame(l, startIndex, l(l));
}

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


static double toDouble(Object o) {
  if (o instanceof Number)
    return ((Number) o).doubleValue();
  if (o instanceof BigInteger)
    return ((BigInteger) o).doubleValue();
  if (o instanceof String)
    return parseDouble(((String) o));
  if (o == null) return 0.0;
  throw fail(o);
}
static Iterator emptyIterator() {
  return Collections.emptyIterator();
}
static <A> int sortedSet_compare(SortedSet<A> set, A a, A b) {
  return compareWithComparator(set.comparator(), a, b);
}
static F1 toF1(final Object f) {
  return functionToF1(f);
}
static IterableIterator emptyIterableIterator_instance = new IterableIterator() {
  public Object next() { throw fail(); }
  public boolean hasNext() { return false; }
};

static <A> IterableIterator<A> emptyIterableIterator() {
  return emptyIterableIterator_instance; 
}
// f: func -> A | endMarker
static <A> IterableIterator<A> iff(Object f) {
  return iteratorFromFunction_withEndMarker(f);
}

// can't use type parameter because end marker
static IterableIterator iff(F0 f) {
  return iteratorFromFunction_withEndMarker(f);
}

static <A> IterableIterator iff(IF0 f) {
  return iteratorFromFunction_withEndMarker(f);
}
static Object endMarker() {
  return iteratorFromFunction_endMarker;
}


// requires ugly casting when used (O -> A)
static Object iteratorFromFunction_endMarker = new Object();

// f: func -> A | endMarker
static <A> IterableIterator<A> iteratorFromFunction_withEndMarker(final Object f) {
  class IFF extends IterableIterator<A> {
    A a;
    boolean have, done;
    
    public boolean hasNext() {
      getNext();
      return !done;
    }
    
    public A next() {
      getNext();
      if (done) throw fail();
      A _a = a;
      a = null;
      have = false;
      return _a;
    }
    
    void getNext() {
      if (done || have) return;
      Object o = callF(f);
      if (o == iteratorFromFunction_endMarker)
        { done = true; return; }
      a = (A) o;
      have = true;
    }
  };
  return new IFF();
}

// optimized version for F0 argument; TODO: do same for IF0
static <A> IterableIterator<A> iteratorFromFunction_withEndMarker(final F0 f) {
  return iteratorFromFunction_withEndMarker_f0(f);
}
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 boolean isCISet(Iterable<String> l) {
  return l instanceof TreeSet && ((TreeSet) l).comparator() == caseInsensitiveComparator();
}
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 TreeSet<String> caseInsensitiveSet_treeSet() {
  return new TreeSet(caseInsensitiveComparator());
}

static TreeSet<String> caseInsensitiveSet_treeSet(Collection<String> c) {
  return toCaseInsensitiveSet_treeSet(c);
}
static boolean equalsIgnoreCase(String a, String b) {
  return eqic(a, b);
}

static boolean equalsIgnoreCase(char a, char b) {
  return eqic(a, b);
}
static float abs(float f) { return Math.abs(f); }
static int abs(int i) { return Math.abs(i); }
static double abs(double d) { return Math.abs(d); }
static int ratioToIntPercent(double x, double y) {
  return roundToInt(x*100/y);
}
static String joinStrings(String sep, String... strings) {
  return joinStrings(sep, Arrays.asList(strings));
}

static String joinStrings(String sep, Collection<String> strings) {
  StringBuilder buf = new StringBuilder();
  for (String s : unnull(strings)) if (nempty(s)) {
    if (nempty(buf)) buf.append(sep);
    buf.append(s);
  }
  return str(buf);
}
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 void setOpt_raw(Object o, String field, Object value) { try {
  if (o == null) return;
  if (o instanceof Class) setOpt_raw((Class) o, field, value);
  else {
    Field f = setOpt_raw_findField(o.getClass(), field);
    if (f != null) {
      makeAccessible(f);
      smartSet(f, o, value);
    }
  }
} catch (Exception __e) { throw rethrow(__e); } }

static void setOpt_raw(Class c, String field, Object value) { try {
  if (c == null) return;
  Field f = setOpt_raw_findStaticField(c, field);
  if (f != null) {
    makeAccessible(f);
    smartSet(f, null, value);
  }
} catch (Exception __e) { throw rethrow(__e); } }
  
static Field setOpt_raw_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 Field setOpt_raw_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 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 <A extends DynamicObject> A setDyn(A o, String key, Object value) {
  if (o == null) return o;
  setDynObjectValue(o, key, value);
  return o;
}
static <A> IterableIterator<A> reversedIterator(final List<A> l) {
  return new IterableIterator<A>() {
    int i = l(l)-1;

    public boolean hasNext() { return i >= 0; }
    public A next() { return l.get(i--); }
  };
}
static int smartIndexOfAsteriskOrDollarVar(List<String> l, int i) {
  return smartIndexOfPred(l, __1 -> isAsteriskOrDollarVar(__1), i);
}
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 char lastChar(String s) {
  return empty(s) ? '\0' : s.charAt(l(s)-1);
}
static String[] dropLast(String[] a, int n) {
  n = Math.min(n, a.length);
  String[] b = new String[a.length-n];
  System.arraycopy(a, 0, b, 0, b.length);
  return b;
}

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

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

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

static String dropLast(String s) {
  return substring(s, 0, l(s)-1);
}

static 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 String shortenSnippetID(String snippetID) {
  if (snippetID.startsWith("#"))
    snippetID = snippetID.substring(1);
  String httpBlaBla = "http://tinybrain.de/";
  if (snippetID.startsWith(httpBlaBla))
    snippetID = snippetID.substring(httpBlaBla.length());
  return "" + parseLong(snippetID);
}
static List mapNonNulls(Iterable l, Object f) { return mapNonNulls(f, l); }

static List mapNonNulls(Object f, Iterable l) {
  List x = new ArrayList();
  if (l != null) for (Object o : l)
    addIfNotNull(x, callF(f, o));
  return x;
}

static List mapNonNulls(Object f, Object[] l) {
  List x = new ArrayList();
  if (l != null) for (Object o : l)
    addIfNotNull(x, callF(f, o));
  return x;
}


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

  static <A, B> List<B> mapNonNulls(F1<A, B> f, Iterable<A> l) {
    List x = new ArrayList();
    if (l != null) for (Object o : l)
      addIfNotNull(x, callF(f, o));
    return x;
  }


static <A, B> List<B> mapNonNulls(A[] l, IF1<A, B> f) {
  return mapNonNulls(f, l);
}

static <A, B> List<B> mapNonNulls(Iterable<A> l, IF1<A, B> f) {
  List x = emptyList(l);
  if (l != null) for (A o : l)
    addIfNotNull(x, f.get(o));
  return x;
}

static <A, B> List<B> mapNonNulls(IF1<A, B> f, Iterable<A> l) {
  return mapNonNulls(l, f);
}
static Map emptyMap() {
  return new HashMap();
}
static Object[] emptyObjectArray_a = new Object[0];
static Object[] emptyObjectArray() { return emptyObjectArray_a; }
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 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 double parseDouble(String s) {
  return Double.parseDouble(s);
}
static <A> int compareWithComparator(Comparator<A> comparator, A a, A b) {
  return comparator == null ? cmp(a, b) : comparator.compare(a, b);
}
static F1 functionToF1(final Object f) {
  if (isString(f)) return mainFunctionToF1((String) f);
  if (f instanceof F1) return (F1) f;
  return new F1<Object, Object>() { public Object get(Object a) { try {  return callF(f, a);  } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "ret callF(f, a);"; }};
}


static <A> IterableIterator<A> iteratorFromFunction_withEndMarker_f0(final F0<A> f) {
  class IFF2 extends IterableIterator<A> {
    A a;
    boolean have, done;
    
    public boolean hasNext() {
      getNext();
      return !done;
    }
    
    public A next() {
      getNext();
      if (done) throw fail();
      A _a = a;
      a = null;
      have = false;
      return _a;
    }
    
    void getNext() {
      if (done || have) return;
      Object o = f.get();
      if (o == iteratorFromFunction_endMarker)
        { done = true; return; }
      a = (A) o;
      have = true;
    }
  };
  return new IFF2();
}
static Comparator<String> caseInsensitiveComparator() {
  
  
  return betterCIComparator();
  
}
static TreeSet<String> toCaseInsensitiveSet_treeSet(Iterable<String> c) {
  if (isCISet(c)) return (TreeSet) c;
  TreeSet<String> set = caseInsensitiveSet_treeSet();
  addAll(set, c);
  return set;
}

static TreeSet<String> toCaseInsensitiveSet_treeSet(String... x) {
  TreeSet<String> set = caseInsensitiveSet_treeSet();
  addAll(set, x);
  return set;
}
static int roundToInt(double d) {
  return (int) Math.round(d);
}
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 void setDynObjectValue(DynamicObject o, String field, Object value) {
  o.fieldValues = syncMapPut2_createLinkedHashMap(o.fieldValues, field, value);
}
static <A> int smartIndexOfPred(List<A> l, IF1<A, Boolean> pred) {
  return smartIndexOfPred(l, pred, 0);
}

static <A> int smartIndexOfPred(List<A> l, IF1<A, Boolean> pred, int i) {
  int n = l(l);
  for (; i < n; i++)
    if (pred.get(l.get(i)))
      return i;
  return n;
}
static boolean isAsteriskOrDollarVar(String s) {
  return eq(s, "*") || isDollarVar(s);
}
static long parseLong(String s) {
  if (empty(s)) return 0;
  return Long.parseLong(dropSuffix("L", s));
}

static long parseLong(Object s) {
  return Long.parseLong((String) s);
}
static <A> boolean addIfNotNull(Collection<A> l, A a) {
  return a != null && l != null & l.add(a);
}


static boolean isString(Object o) {
  return o instanceof String;
}
static F1 mainFunctionToF1(final String fname) {
  return new F1<Object, Object>() { public Object get(Object a) { try {  return callMC(fname, a);  } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "callMC(fname, a)"; }};
}


static betterCIComparator_C betterCIComparator_instance;

static betterCIComparator_C betterCIComparator() {
  if (betterCIComparator_instance == null)
    betterCIComparator_instance = new betterCIComparator_C();
  return betterCIComparator_instance;
}

static class betterCIComparator_C implements Comparator<String> {
  public int compare(String s1, String s2) {
    if (s1 == null) return s2 == null ? 0 : -1;
    if (s2 == null) return 1;
  
    int n1 = s1.length();
    int n2 = s2.length();
    int min = Math.min(n1, n2);
    for (int i = 0; i < min; i++) {
        char c1 = s1.charAt(i);
        char c2 = s2.charAt(i);
        if (c1 != c2) {
            c1 = Character.toUpperCase(c1);
            c2 = Character.toUpperCase(c2);
            if (c1 != c2) {
                c1 = Character.toLowerCase(c1);
                c2 = Character.toLowerCase(c2);
                if (c1 != c2) {
                    // No overflow because of numeric promotion
                    return c1 - c2;
                }
            }
        }
    }
    return n1 - n2;
  }
}
static <A, B> LinkedHashMap<A, B> syncMapPut2_createLinkedHashMap(LinkedHashMap<A, B> map, A key, B value) {
  if (key != null)
    if (value != null) {
      if (map == null) map = new LinkedHashMap();
      synchronized(collectionMutex(map)) { map.put(key, value); }
    } else if (map != null) synchronized(collectionMutex(map)) { map.remove(key); }
  return map;
}
static boolean isDollarVar(String s) {
  return startsWith(s, '$') && isJavaIdentifierAfter(s, 1);
}


static String dropSuffix(String suffix, String s) {
  return s.endsWith(suffix) ? s.substring(0, l(s)-l(suffix)) : s;
}


static boolean isJavaIdentifierAfter(String s, int i) {
  int n = l(s);
  if (i >= n || !Character.isJavaIdentifierStart(s.charAt(i)))
    return false;
  for (i++; i < n; i++)
    if (!Character.isJavaIdentifierPart(s.charAt(i)))
      return false;
  return true;
}


static interface IF2<A, B, C> {
  C get(A a, B b);
}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  class And<A> implements IFieldsToList, Transformable, Visitable{
  A a;
  A b;
  And() {}
  And(A a, A b) {
  this.b = b;
  this.a = a;}
  public String toString() { return shortClassName(this) + "(" + a + ", " + b + ")"; }

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

  public int hashCode() {
    int h = 65975;
    h = boostHashCombine(h, _hashCode(a));
    h = boostHashCombine(h, _hashCode(b));
    return h;
  }
  public Object[] _fieldsToList() { return new Object[] {a, b}; }
public Object transformUsing(IF1 f) { return new And((A) f.get(a), (A) f.get(b)); }
public void visitUsing(IVF1 f) { f.get(a); f.get(b); }
}static class Lowest<A> {
  A best;
  double score;
  transient Object onChange;
  
  synchronized boolean isNewBest(double score) {
    return best == null || score < this.score;
  }
  
  synchronized double bestScore() {
    return best == null ? Double.NaN : score;
  }
  
  double score() { return bestScore(); }
  
  synchronized float floatScore() {
    return best == null ? Float.NaN : (float) score;
  }
  
  synchronized float floatScoreOr(float defaultValue) {
    return best == null ? defaultValue : (float) score;
  }
  
  boolean put(A a, double score) {
    boolean change = false;
    synchronized(this) {
      if (a != null && isNewBest(score)) {
        best = a;
        this.score = score;
        change = true;
      }
    }
    if (change)
      pcallF(onChange);
    return change;
  }
  
  synchronized void clear() { best = null; score = 0; }
  
  synchronized A get() { return best; }
  synchronized boolean has() { return best != null; }
  synchronized Pair<A, Double> pair() { return best == null ? null : new Pair(best, bestScore()); }
}static abstract class F0<A> {
  abstract A get();
}static abstract class F2<A, B, C> {
  abstract C get(A a, B b);
}static class Fragment {
  String text; // should not be null like ever
  transient int hashCode;
  
  Fragment() {}
  Fragment(String text) { this.text = trim(text); }
  
  public String toString() { return text == null ? "null fragment you bunny" : text; }
  
  public int hashCode() {
    if (hashCode == 0) hashCode = main.hashCode(upper(text));
    return hashCode;
  }
  
  // Note: we have the "turkish" problem (upper <-> eqic)
  public boolean equals(Object o) {
    // we could allow string here too but that's nasty
    if (!(o instanceof Fragment)) return false;
    return eqic(text, ((Fragment) o).text);
  }
}// Note: Identity based on globalID, so eq(new SymVar("a"), new SymVar("b")) is FALSE.
static class SymVar extends HasGlobalID {
  String name;
  
  SymVar() {}
  SymVar(String name) {
  this.name = name;}
  
  public boolean equals(Object o) { return o instanceof IHasGlobalID && eqHasGlobalID(this, (IHasGlobalID) o); }
  public int hashCode() { return _hashCode(globalID); }
  
  public String toString() { return "SymVar" + (nempty(name) ? " " + name : "") + "[" + globalID() + "]"; }
}

static interface IHasGlobalID {
  public GlobalID globalID();
}static class HasGlobalID implements IHasGlobalID {
  
GlobalID globalID =
  
   aGlobalIDObjUnlessLoading(); 

public GlobalID globalID() { return globalID; }
public String globalIDStr() { return strOrNull(globalID); }

String prependGlobalID(String s) { return globalID == null ? s : "[" + globalID + "] " + s; }
}

static class GlobalID implements Comparable<GlobalID> {
  // We need 76 bits for 26^16 IDs
  long a; // lower 64 bits
  int b;  // 76-64=12 higher bits; could be short. change to short when unstructure() is smarter
  
  GlobalID() {}
  GlobalID(String id) {
    assertGlobalID(id);
    BigInteger value = bigint(0);
    for (int i = 0; i < l(id); i++)
      value = plus(mul(value, 26), charDiff(id.charAt(i), 'a'));
      
    
    a = value.longValue();
    value = value.shiftRight(64);
    b = value.shortValue();
  }
  
  public String toString() {
    BigInteger value = bigint(b);
    value = value.shiftLeft(32);
    value = plus(value, (a >> 32) & 0xFFFFFFFFL);
    value = value.shiftLeft(32);
    value = plus(value, a & 0xFFFFFFFFL);
    
    
    
    return bigintToGlobalID(value);
  }
  
  public boolean equals(Object o) {
    if (!(o instanceof GlobalID)) return false;
    return ((GlobalID) o).a == a && ((GlobalID) o).b == b;
  }
  
  public int hashCode() {
    return (int) a;
  }
  
  // matches ID's lexical ordering
  public int compareTo(GlobalID id) {
    int diff = b-id.b;
    return diff != 0 ? diff : Long.compareUnsigned(a, id.a);
  }
}

static float score(Scored s) {
  return s == null ? 0 : s.score();
}
static String trim(String s) { return s == null ? null : s.trim(); }
static String trim(StringBuilder buf) { return buf.toString().trim(); }
static String trim(StringBuffer buf) { return buf.toString().trim(); }
static int hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
static String upper(String s) {
  return s == null ? null : s.toUpperCase();
}

static char upper(char c) {
  return Character.toUpperCase(c);
}
static boolean eqHasGlobalID(IHasGlobalID a, IHasGlobalID b) {
  return a == b || a != null && eq(a.globalID(), b.globalID());
}
static String assertGlobalID(String s) {
  return assertPossibleGlobalID(s);
}
static BigInteger bigint(String s) {
  return new BigInteger(s);
}

static BigInteger bigint(long l) {
  return BigInteger.valueOf(l);
}
static BigInteger plus(BigInteger a, BigInteger b) {
  return a.add(b);
}

static BigInteger plus(BigInteger a, long b) {
  return a.add(bigint(b));
}
static BigInteger mul(BigInteger a, BigInteger b) {
  return a.multiply(b);
}

static BigInteger mul(BigInteger a, long b) {
  return a.multiply(bigint(b));
}
static int charDiff(char a, char b) {
  return (int) a-(int) b;
}

static int charDiff(String a, char b) {
  return charDiff(stringToChar(a), b);
}
static String bigintToGlobalID(BigInteger value) {
  char[] buf = new char[16];
  for (int i = 16-1; i >= 0; i--) {
    buf[i] = charPlus('a', mod(value, 26).intValue());
    value = div(value, 26);
  }
  return str(buf);
}


static String assertPossibleGlobalID(String s) {
  if (!possibleGlobalID(s))
    throw fail("Not an acceptable global ID: " + s);
  return s;
}
static char stringToChar(String s) {
  if (l(s) != 1) throw fail("bad stringToChar: " + s);
  return firstChar(s);
}
static char charPlus(char a, int b) {
  return (char) (((int) a) + b);
}
// better modulo that gives positive numbers always
static int mod(int n, int m) {
  return (n % m + m) % m;
}

static long mod(long n, long m) {
  return (n % m + m) % m;
}

static BigInteger mod(BigInteger n, int m) {
  return n.mod(bigint(m));
}

static double mod(double n, double m) {
  return (n % m + m) % m;
}

static String div(Object contents, Object... params) {
  return hfulltag("div", contents, params);
}

static BigInteger div(BigInteger a, BigInteger b) {
  return a.divide(b);
}

static BigInteger div(BigInteger a, int b) {
  return a.divide(bigint(b));
}


static boolean possibleGlobalID(String s) {
  return l(s) == globalIDLength() && allLowerCaseCharacters(s);
}
static char firstChar(String s) {
  return s.charAt(0);
}
static String hfulltag(String tag) {
  return hfulltag(tag, "");
}

static String hfulltag(String tag, Object contents, Object... params) {
  return hopeningTag(tag, params) + str(contents) + "</" + tag + ">";
}


static int globalIDLength() {
  return 16;
}
static boolean allLowerCaseCharacters(String s) {
  for (int i = 0; i < l(s); i++)
    if (Character.getType(s.charAt(i)) != Character.LOWERCASE_LETTER) return false;
  return true;
}
static String hopeningTag(String tag, Map params) {
  return hopeningTag(tag, mapToParams(params));
}

static String hopeningTag(String tag, Object... params) {
  StringBuilder buf = new StringBuilder();
  buf.append("<" + tag);
  for (int i = 0; i < l(params); i += 2) {
    String name = (String) get(params, i);
    Object val = get(params, i+1);
    if (nempty(name) && val != null) {
      if (val == html_valueLessParam())
        buf.append(" " + name);
      else {
        String s = str(val);
        if (!empty(s))
          buf.append(" " + name + "=" + htmlQuote(s));
      }
    }
  }
  buf.append(">");
  return str(buf);
}


static Object[] mapToParams(Map map) {
  return mapToObjectArray(map);
}
static Object html_valueLessParam_cache;
static Object html_valueLessParam() { if (html_valueLessParam_cache == null) html_valueLessParam_cache = html_valueLessParam_load(); return html_valueLessParam_cache; }

static Object html_valueLessParam_load() {
  return new Object();
}
static String htmlQuote(String s) {
  return "\"" + htmlencode_forParams(s) + "\"";
}


static Object[] mapToObjectArray(Map map) {
  List l = new ArrayList();
  for (Object o : keys(map)) {
    l.add(o);
    l.add(map.get(o));
  }
  return toObjectArray(l);
}

static Object[] mapToObjectArray(Object f, Collection l) {
  int n = l(l);
  Object[] array = new Object[n];
  if (n != 0) {
    Iterator it = iterator(l);
    for (int i = 0; i < n; i++)
      array[i] = callF(f, it.next());
  }
  return array;
}

static Object[] mapToObjectArray(Object f, Object[] l) {
  int n = l(l);
  Object[] array = new Object[n];
  for (int i = 0; i < n; i++)
    array[i] = callF(f, l[i]);
  return array;
}

static <A> Object[] mapToObjectArray(Collection<A> l, IF1<A, Object> f) {
  return mapToObjectArray(f, l);
}
static String htmlencode_forParams(String s) {
  if (s == null) return "";
  StringBuilder out = new StringBuilder(Math.max(16, s.length()));
  for (int i = 0; i < s.length(); i++) {
      char c = s.charAt(i);
      /*if (c >= 0x100)
        out.append("&#x").append(charToHex(c)).append(';');
      else*/ if (c > 127 || c == '"' || c == '<' || c == '>') {
          out.append("&#");
          out.append((int) c);
          out.append(';');
      } else
          out.append(c);
  }
  return out.toString();
}


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 Object[] toObjectArray(Collection c) {
  List l = asList(c);
  return l.toArray(new Object[l.size()]);
}



static class Scored<A> extends Var<A> {
  float score;
  
  Scored() {}
  Scored(A a, float score) { super(a); this.score = score; }
  Scored(A a, double score) { super(a); this.score = (float) score; }
  
  float score() { return score; }
  
  public String toString() {
    return toIntPercent(score) + "%: " + str(get());
  }
}

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 IVar<A> extends IF0<A> {
  void set(A a);
  A get();
  
  default boolean has() { return get() != null; }
  default void clear() { set(null); }
  
}

static GlobalID aGlobalIDObjUnlessLoading() {
  return dynamicObjectIsLoading() ? null : aGlobalIDObj();
}
static String strOrNull(Object o) {
  return o == null ? null : str(o);
}
static int toIntPercent(double ratio) {
  return roundToInt(ratio*100);
}

// when used with map function
static int toIntPercent(float ratio) {
  return toIntPercent((double) ratio);
}
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 boolean dynamicObjectIsLoading() { 
  return isTrue(getThreadLocal(DynamicObject_loading));
}
static GlobalID aGlobalIDObj() {
  return asGlobalID(randomID(16));
}

static GlobalID aGlobalIDObj(Random random) {
  return asGlobalID(randomID(random, 16));
}


static GlobalID asGlobalID(String id) {
  return id == null ? null : new GlobalID(id);
}
static int randomID_defaultLength = 12;

static String randomID(int length) {
  return makeRandomID(length);
}

static String randomID(Random r, int length) {
  return makeRandomID(r, length);
}

static String randomID() {
  return randomID(randomID_defaultLength);
}

static String randomID(Random r) {
  return randomID(r, randomID_defaultLength);
}


static String makeRandomID(int length) {
  return makeRandomID(length, defaultRandomGenerator());
}

static String makeRandomID(int length, Random random) {
  char[] id = new char[length];
  for (int i = 0; i < id.length; i++)
    id[i] = (char) ((int) 'a' + random.nextInt(26));
  return new String(id);
}

static String makeRandomID(Random r, int length) {
  return makeRandomID(length, r);
}


static Random defaultRandomGenerator() {
  return ThreadLocalRandom.current();
}

}