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 java.util.function.*;
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 java.awt.geom.*;
import javax.imageio.*;
import java.math.*;
import java.time.Duration;
import java.lang.invoke.VarHandle;
import java.lang.invoke.MethodHandles;
import static x30_pkg.x30_util.DynamicObject;
import java.text.*;
import java.text.NumberFormat;
import java.util.TimeZone;
import java.awt.geom.*;
class main {
static  MultiSet singletonMultiSet(A a) {
  MultiSet ms = new MultiSet();
  ms.add(a);
  return ms;
}
// uses HashMap by default
static class MultiSet implements IMultiSet {
  Map map = new HashMap();
  int size; // now maintaining a size counter
  
  MultiSet(boolean useTreeMap) {
    if (useTreeMap) map = new TreeMap();
  }
  MultiSet(TreeMap map) {
  this.map = map;}
  
  MultiSet() {}
  MultiSet(Iterable c) { addAll(c); }
  MultiSet(MultiSet ms) { synchronized(ms) {
    for (A a : ms.keySet()) add(a, ms.get(a));
  }}
  
  // returns new count
  public synchronized int add(A key) { return add(key, 1); }
  
  synchronized void addAll(Iterable c) {
    if (c != null) for (A a : c) add(a);
  }
  synchronized void addAll(MultiSet ms) {
    for (A a : ms.keySet()) add(a, ms.get(a));
  }
  
  synchronized int add(A key, int count) {
    if (count <= 0) return 0; // don't calculate return value in this case
    size += count;
    Integer i = map.get(key);
    map.put(key, i != null ? (count += i) : count);
    return count;
  }
  synchronized void put(A key, int count) {
    int oldCount = get(key);
    if (count == oldCount) return;
    size += count-oldCount;
    if (count != 0)
      map.put(key, count);
    else
      map.remove(key);
  }
  public synchronized int get(A key) {
    Integer i = map.get(key);
    return i != null ? i : 0;
  }
  
  synchronized boolean contains(A key) {
    return map.containsKey(key);
  }
  synchronized void remove(A key) {
    Integer i = map.get(key);
    if (i != null) {
      --size;
      if (i > 1)
        map.put(key, i - 1);
      else
        map.remove(key);
    }
  }
  synchronized List topTen() { return getTopTen(); }
  
  synchronized List getTopTen() { return getTopTen(10); }
  synchronized List getTopTen(int maxSize) {
    List list = getSortedListDescending();
    return list.size() > maxSize ? list.subList(0, maxSize) : list;
  }
  
  synchronized List highestFirst() {
    return getSortedListDescending();
  }
  synchronized List lowestFirst() {
    return reversedList(getSortedListDescending());
  }
  synchronized List getSortedListDescending() {
    List list = new ArrayList(map.keySet());
    Collections.sort(list, new Comparator() {
      public int compare(A a, A b) {
        return map.get(b).compareTo(map.get(a));
      }
    });
    return list;
  }
  synchronized int getNumberOfUniqueElements() {
    return map.size();
  }
  
  synchronized int uniqueSize() {
    return map.size();
  }
  synchronized Set asSet() {
    return map.keySet();
  }
  synchronized NavigableSet navigableSet() {
    return navigableKeys((NavigableMap) map);
  }
  synchronized Set keySet() {
    return map.keySet();
  }
  
  final  A mostPopular(){ return getMostPopularEntry(); }
synchronized A getMostPopularEntry() {
    int max = 0;
    A a = null;
    for (Map.Entry entry : map.entrySet()) {
      if (entry.getValue() > max) {
        max = entry.getValue();
        a = entry.getKey();
      }
    }
    return a;
  }
  synchronized void removeAll(A key) {
    size -= get(key);
    map.remove(key);
  }
  synchronized int size() {
    return size;
  }
  synchronized MultiSet mergeWith(MultiSet set) {
    MultiSet result = new MultiSet();
    for (A a : set.asSet()) {
      result.add(a, set.get(a));
    }
    return result;
  }
  
  synchronized boolean isEmpty() {
    return map.isEmpty();
  }
  
  synchronized public String toString() { // hmm. sync this?
    return str(map);
  }
  
  synchronized void clear() {
    map.clear();
    size = 0;
  }
  
  final  Map toMap(){ return asMap(); }
synchronized Map asMap() {
    return cloneMap(map);
  }
}
static interface IMultiSet {
  // returns new count
  int add(A key);
  
  /*void addAll(Iterable c) {
    if (c != null) for (A a : c) add(a);
  }
  void addAll(MultiSet ms) {
    for (A a : ms.keySet()) add(a, ms.get(a));
  }*/
  
  //int add(A key, int count);
  //void put(A key, int count);
  int get(A key);
  //bool contains(A key);
  //void remove(A key);
  /*List topTen();
  
  synchronized List getTopTen() { ret getTopTen(10); }
  synchronized List getTopTen(int maxSize) {
    List list = getSortedListDescending();
    return list.size() > maxSize ? list.subList(0, maxSize) : list;
  }
  
  synchronized L highestFirst() {
    ret getSortedListDescending();
  }
  synchronized L lowestFirst() {
    ret reversedList(getSortedListDescending());
  }
  synchronized L getSortedListDescending() {
    List list = new ArrayList(map.keySet());
    Collections.sort(list, new Comparator() {
      public int compare(A a, A b) {
        return map.get(b).compareTo(map.get(a));
      }
    });
    ret list;
  }
  synchronized int getNumberOfUniqueElements() {
    return map.size();
  }
  
  synchronized int uniqueSize() {
    ret map.size();
  }
  synchronized Set asSet() {
    return map.keySet();
  }
  synchronized NavigableSet navigableSet() {
    return navigableKeys((NavigableMap) map);
  }
  synchronized Set keySet() {
    return map.keySet();
  }
  
  synchronized A getMostPopularEntry() {
    int max = 0;
    A a = null;
    for (Map.Entry entry : map.entrySet()) {
      if (entry.getValue() > max) {
        max = entry.getValue();
        a = entry.getKey();
      }
    }
    return a;
  }
  synchronized void removeAll(A key) {
    size -= get(key);
    map.remove(key);
  }
  synchronized int size() {
    ret size;
  }
  synchronized MultiSet mergeWith(MultiSet set) {
    MultiSet result = new MultiSet();
    for (A a : set.asSet()) {
      result.add(a, set.get(a));
    }
    return result;
  }
  
  synchronized boolean isEmpty() {
    return map.isEmpty();
  }
  
  synchronized public String toString() { // hmm. sync this?
    return str(map);
  }
  
  synchronized void clear() {
    map.clear();
    size = 0;
  }
  
  synchronized Map asMap() {
    ret cloneMap(map);
  }*/
}
static  void addAll(Collection c, Iterable b) {
  if (c != null && b != null) for (A a : b) c.add(a);
}
static  boolean addAll(Collection c, Collection b) {
  return c != null && b != null && c.addAll(b);
}
static  boolean addAll(Collection c, B... b) {
  return c != null && b != null && c.addAll(Arrays.asList(b));
}
static  Map addAll(Map a, Map extends A,? extends B> b) {
  if (a != null && b != null) a.putAll(b);
  return a;
}
static  A addAll(A c, Collection extends Component> components) {
  return addComponents(c, components);
}
static  A addAll(A c, Component... components) {
  return addComponents(c, components);
}
static void add(BitSet bs, int i) {
  bs.set(i);
}
static  boolean add(Collection c, A a) {
  return c != null && c.add(a);
}
static void add(Container c, Component x) {
  addToContainer(c, x);
}
static long add(AtomicLong l, long b) {
  return l.addAndGet(b);
}
// get purpose 1: access a list/array/map (safer version of x.get(y))
static  A get(List l, int idx) {
  return l != null && idx >= 0 && idx < l(l) ? l.get(idx) : null;
}
// seems to conflict with other signatures
/*static  B get(Map map, A key) {
  ret map != null ? map.get(key) : null;
}*/
static  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 getOptDynOnly(((DynamicObject) o), 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 boolean get(BitSet bs, int idx) {
  return bs != null && bs.get(idx);
}
static  List reversedList(Iterable l) {
  List x = cloneList(l);
  Collections.reverse(x);
  return x;
}
static Set asSet(Object[] array) {
  HashSet set = new HashSet();
  for (Object o : array)
    if (o != null)
      set.add(o);
  return set;
}
static Set asSet(String[] array) {
  TreeSet set = new TreeSet();
  for (String o : array)
    if (o != null)
      set.add(o);
  return set;
}
static  Set asSet(Iterable l) {
  if (l instanceof Set) return (Set) l;
  HashSet set = new HashSet();
  for (A o : unnull(l))
    if (o != null)
      set.add(o);
  return set;
}
// Note: does not clone the set (keeps multiset alive)
static  Set asSet(MultiSet ms) {
  return ms == null ? null : ms.asSet();
}
static  NavigableSet navigableKeys(NavigableMap map) {
  return map == null ? new TreeSet() : map.navigableKeySet();
}
  static  NavigableSet navigableKeys(MultiSet ms) {
    return ((NavigableMap) ms.map).navigableKeySet();
  }
  static  NavigableSet navigableKeys(MultiMap mm) {
    return ((NavigableMap) mm.data).navigableKeySet();
  }
static  Set keySet(Map map) {
  return map == null ? new HashSet() : map.keySet();
}
static Set keySet(Object map) {
  return keys((Map) map);
}
  static  Set keySet(MultiSet ms) {
    return ms.keySet();
  }
  static  Set keySet(MultiMap mm) {
    return mm.keySet();
  }
static String str(Object o) {
  return o == null ? "null" : o.toString();
}
static String str(char[] c) {
  return c == null ? "null" : new String(c);
}
static String str(char[] c, int offset, int count) {
  return new String(c, offset, count);
}
static  Map> toMap(MultiMap m) {
  return multiMapToMap(m);
}
static  Map cloneMap(Map map) {
  if (map == null) return new HashMap();
  // assume mutex is equal to map
  synchronized(map) {
    return map instanceof TreeMap ? new TreeMap((TreeMap) map) // copies comparator
      : map instanceof LinkedHashMap ? new LinkedHashMap(map)
      : new HashMap(map);
  }
}
static  List cloneMap(Iterable l, IF1 f) {
  List x = emptyList(l);
  if (l != null) for (A o : cloneList(l))
    x.add(f.get(o));
  return x;
}
static  A addComponents(A c, Collection extends Component> components) {
  if (nempty(components)) { swing(() -> { 
    for (Component comp : components)
      if (comp != null)
        c.add(comp);
    revalidate(c);
  }); }
  return c;
}
static  A addComponents(A c, Component... components) {
  return addComponents(c, asList(components));
}
static void addToContainer(Container a, Component... b) {
  if (a == null) return;
  { swing(() -> { 
    for (Component c : unnullForIteration(b))
      if (c != null) 
        a.add(c);
  }); }
}
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(MultiSet ms) { return ms == null ? 0 : ms.size(); }
  static int l(IMultiMap mm) { return mm == null ? 0 : mm.size(); }
  static int l(IntSize o) { return o == null ? 0 : o.size(); }
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 Object getOptDynOnly(DynamicObject o, String field) {
  if (o == null || o.fieldValues == null) return null;
  return o.fieldValues.get(field);
}
static RuntimeException asRuntimeException(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
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  ArrayList cloneList(Iterable l) {
  return l instanceof Collection ? cloneList((Collection) l) : asList(l);
}
static  ArrayList cloneList(Collection l) {
  if (l == null) return new ArrayList();
  synchronized(collectionMutex(l)) {
    return new ArrayList(l);
  }
}
static String unnull(String s) {
  return s == null ? "" : s;
}
static  Collection unnull(Collection l) {
  return l == null ? emptyList() : l;
}
static  List unnull(List l) { return l == null ? emptyList() : l; }
static int[] unnull(int[] l) { return l == null ? emptyIntArray() : l; }
static char[] unnull(char[] l) { return l == null ? emptyCharArray() : l; }
static double[] unnull(double[] l) { return l == null ? emptyDoubleArray() : l; }
static float[] unnull(float[] l) { return l == null ? emptyFloatArray() : l; }
static  Map unnull(Map l) {
  return l == null ? emptyMap() : l;
}
static  Iterable unnull(Iterable i) {
  return i == null ? emptyList() : i;
}
static  A[] unnull(A[] a) {
  return a == null ? (A[]) emptyObjectArray() : a;
}
static BitSet unnull(BitSet b) {
  return b == null ? new BitSet() : b;
}
static Pt unnull(Pt p) {
  return p == null ? new Pt() : p;
}
//ifclass Symbol
static Symbol unnull(Symbol s) {
  return s == null ? emptySymbol() : s;
}
//endif
static  Pair unnull(Pair p) {
  return p != null ? p : new Pair(null, null);
}
static int unnull(Integer i) { return i == null ? 0 : i; }
static long unnull(Long l) { return l == null ? 0L : l; }
static double unnull(Double l) { return l == null ? 0.0 : l; }
static  Set keys(Map map) {
  return map == null ? new HashSet() : map.keySet();
}
// convenience shortcut for keys_gen
static Set keys(Object map) {
  return keys((Map) map);
}
  static  Set keys(MultiSet ms) {
    return ms.keySet();
  }
  static  Set keys(IMultiMap mm) {
    return mm.keySet();
  }
static  Map> multiMapToMap(MultiMap m) {
  return m == null ? null : m.data;
}
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  ArrayList emptyList(Class c) {
  return new ArrayList();
}
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(BitSet bs) { return !empty(bs); }
static boolean nempty(Map m) {
  return !empty(m);
}
static boolean nempty(Iterator i) {
  return i != null && i.hasNext();
}
static boolean nempty(IMultiMap mm) { return mm != null && mm.size() != 0; }
static boolean nempty(Object o) { return !empty(o); }
static boolean nempty(Rect r) { return r != null && r.w != 0 && r.h != 0; }
static boolean nempty(MultiSet ms) { return ms != null && !ms.isEmpty(); }
static boolean nempty(IntSize l) { return l != null && l.size() != 0; }
static Object swing(Object f) {
  return swingAndWait(f);
}
static void swing(Runnable f) {
  swingAndWait(f);
}
static  A swing(F0 f) {
  return (A) swingAndWait(f);
}
static  A swing(IF0 f) {
  return (A) swingAndWait(f);
}
static  A revalidate(final A c) {
  if (c == null || !c.isShowing()) return c;
  { swing(() -> { 
    // magic combo to actually relayout and repaint
    c.revalidate();
    c.repaint();
  }); }
  return c;
}
static void revalidate(JFrame f) { revalidate((Component) f); }
static void revalidate(JInternalFrame f) { revalidate((Component) f); }
// unclear semantics as to whether return null on null
static  ArrayList asList(A[] a) {
  return a == null ? new ArrayList() : new ArrayList(Arrays.asList(a));
}
static ArrayList asList(char[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (var i : a) l.add(i);
  return l;
}
static ArrayList asList(byte[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (var i : a) l.add(i);
  return l;
}
static ArrayList asList(int[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (int i : a) l.add(i);
  return l;
}
static ArrayList asList(long[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (long i : a) l.add(i);
  return l;
}
static ArrayList asList(float[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (float i : a) l.add(i);
  return l;
}
static ArrayList asList(double[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (double i : a) l.add(i);
  return l;
}
static ArrayList asList(short[] a) {
  if (a == null) return null;
  ArrayList l = emptyList(a.length);
  for (short i : a) l.add(i);
  return l;
}
static  ArrayList asList(Iterator it) {
  ArrayList l = new ArrayList();
  if (it != null)
    while (it.hasNext())
      l.add(it.next());
  return l;  
}
// disambiguation
static  ArrayList asList(IterableIterator s) {
  return asList((Iterator) s);
}
static  ArrayList asList(Iterable 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  ArrayList asList(Enumeration e) {
  ArrayList l = new ArrayList();
  if (e != null)
    while (e.hasMoreElements())
      l.add(e.nextElement());
  return l;
}
static  ArrayList asList(ReverseChain c) {
  return c == null ? emptyList() : c.toList();
}
static  List asList(Pair p) {
  return p == null ? null : ll(p.a, p.b);
}
static String unnullForIteration(String s) {
  return s == null ? "" : s;
}
static  Collection unnullForIteration(Collection l) {
  return l == null ? immutableEmptyList() : l;
}
static  List unnullForIteration(List l) { return l == null ? immutableEmptyList() : l; }
static byte[] unnullForIteration(byte[] l) { return l == null ? emptyByteArray() : l; }
static int[] unnullForIteration(int[] l) { return l == null ? emptyIntArray() : l; }
static char[] unnullForIteration(char[] l) { return l == null ? emptyCharArray() : l; }
static double[] unnullForIteration(double[] l) { return l == null ? emptyDoubleArray() : l; }
static short[] unnullForIteration(short[] l) { return l == null ? emptyShortArray() : l; }
static  Map unnullForIteration(Map l) {
  return l == null ? immutableEmptyMap() : l;
}
static  Iterable unnullForIteration(Iterable i) {
  return i == null ? immutableEmptyList() : i;
}
static  A[] unnullForIteration(A[] a) {
  return a == null ? (A[]) emptyObjectArray() : a;
}
static BitSet unnullForIteration(BitSet b) {
  return b == null ? new BitSet() : b;
}
static Pt unnullForIteration(Pt p) {
  return p == null ? new Pt() : p;
}
//ifclass Symbol
static Symbol unnullForIteration(Symbol s) {
  return s == null ? emptySymbol() : s;
}
//endif
static  Pair unnullForIteration(Pair p) {
  return p != null ? p : new Pair(null, null);
}
static long unnullForIteration(Long l) { return l == null ? 0L : l; }
static  int iteratorCount_int_close(Iterator 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 void vmBus_send(String msg, Object... args) {
  Object arg = vmBus_wrapArgs(args);
  pcallFAll_minimalExceptionHandling(vm_busListeners_live(), msg, arg);
  pcallFAll_minimalExceptionHandling(vm_busListenersByMessage_live().get(msg), msg, arg);
}
static void vmBus_send(String msg) {
  vmBus_send(msg, (Object) null);
}
static void _handleError(Error e) {
  //call(javax(), '_handleError, e);
}
// TODO: JDK 17!! ?? No! Yes? Yes!!
static Object collectionMutex(List l) {
  return l;
}
static Object collectionMutex(Object o) {
  
  if (o instanceof List) return o;
  
  // TODO: actually use our own maps so we can get the mutex properly
  
  String c = className(o);
  
    
  
    
  
  return o;
}
static int[] emptyIntArray_a = new int[0];
static int[] emptyIntArray() { return emptyIntArray_a; }
static char[] emptyCharArray = new char[0];
static char[] emptyCharArray() { return emptyCharArray; }
static double[] emptyDoubleArray = new double[0];
static double[] emptyDoubleArray() { return emptyDoubleArray; }
static float[] emptyFloatArray = new float[0];
static float[] emptyFloatArray() { return emptyFloatArray; }
static Map emptyMap() {
  return new HashMap();
}
static Object[] emptyObjectArray_a = new Object[0];
static Object[] emptyObjectArray() { return emptyObjectArray_a; }
static Symbol emptySymbol_value;
static Symbol emptySymbol() {
  if (emptySymbol_value == null) emptySymbol_value = symbol("");
  return emptySymbol_value;
}
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 > A max (Iterable l) {
  A max = null;
  var it = iterator(l);
  if (it.hasNext()) {
    max = it.next();
    while (it.hasNext()) {
      A a = it.next();
      if (cmp(a, max) > 0)
        max = a;
    }
  }
  return max;
}
/*Nah.
static int max(Collection c) {
  int x = Integer.MIN_VALUE;
  for (int i : c) x = max(x, i);
  ret 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 > A max(A a, A b) {
  return cmp(a, b) >= 0 ? a : b;
}
static boolean empty(Collection c) { return c == null || c.isEmpty(); }
static boolean empty(Iterable c) { return c == null || !c.iterator().hasNext(); }
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(BitSet bs) { return bs == null || bs.isEmpty(); }
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(MultiSet ms) { return ms == null || ms.isEmpty(); }
static boolean empty(IMultiMap mm) { return mm == null || mm.size() == 0; }
static boolean empty(File f) { return getFileSize(f) == 0; }
static boolean empty(Rect r) { return !(r != null && r.w != 0 && r.h != 0); }
static boolean empty(Chain c) { return c == null; }
static boolean empty(AppendableChain c) { return c == null; }
static boolean empty(IntSize l) { return l == null || l.size() == 0; }
static void swingAndWait(Runnable r) { try {
  if (isAWTThread())
    r.run();
  else {
    r = addThreadInfoToRunnable(r);
    executingSwingCode(r);
    EventQueue.invokeAndWait(r);
  }
} catch (Exception __e) { throw rethrow(__e); } }
static Object swingAndWait(Object f) {
  if (isAWTThread())
    return callF(f);
  else {
    Var result = new Var();
    swingAndWait(new Runnable() {  public void run() { try { 
      result.set(callF(f));
    
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "result.set(callF(f));"; }});
    return result.get();
  }
}
static  List ll(A... a) {
  ArrayList l = new ArrayList(a.length);
  if (a != null) for (A x : a) l.add(x);
  return l;
}
static  List immutableEmptyList() {
  return Collections.emptyList();
}
static byte[] emptyByteArray_a = new byte[0];
static byte[] emptyByteArray() { return emptyByteArray_a; }
static short[] emptyShortArray = new short[0];
static short[] emptyShortArray() { return emptyShortArray; }
static  Map immutableEmptyMap() {
  return Collections.emptyMap();
}
static Object vmBus_wrapArgs(Object... args) {
  return empty(args) ? null
    : l(args) == 1 ? args[0]
    : args;
}
static void pcallFAll_minimalExceptionHandling(Collection l, Object... args) {
  if (l != null) for  (Object f : cloneList(l)) { ping(); pcallF_minimalExceptionHandling(f, args); }
}
static void pcallFAll_minimalExceptionHandling(Iterator it, Object... args) {
  while  (it.hasNext()) { ping(); pcallF_minimalExceptionHandling(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 vm_busListenersByMessage_live_cache;
static Map vm_busListenersByMessage_live() { if (vm_busListenersByMessage_live_cache == null) vm_busListenersByMessage_live_cache = vm_busListenersByMessage_live_load(); return vm_busListenersByMessage_live_cache;}
static Map vm_busListenersByMessage_live_load() {
  return vm_generalHashMap("busListenersByMessage");
}
static String className(Object o) {
  return getClassName(o);
}
static WeakHasherMap symbol_map = new WeakHasherMap(new Hasher() {
  public int hashCode(Symbol symbol) { return symbol.text.hashCode(); }
  public boolean equals(Symbol a, Symbol b) {
    if (a == null) return b == null;
    return b != null && eq(a.text, b.text);
  }
});
static Symbol symbol(String s) {
  
  
  if (s == null) return null;
  synchronized(symbol_map) {
    // TODO: avoid object creation by passing the string to findKey
    Symbol symbol = new Symbol(s, true);
    Symbol existingSymbol = symbol_map.findKey(symbol);
    if (existingSymbol == null)
      symbol_map.put(existingSymbol = symbol, true);
    
      
    return existingSymbol;
  }
  
}
static Symbol symbol(CharSequence s) {
  if (s == null) return null;
  
  
  if (s instanceof Symbol) return (Symbol) s;
  if (s instanceof String) return symbol((String) s);
  return symbol(str(s));
  
}
static Symbol symbol(Object o) {
  return symbol((CharSequence) o);
}
static  Iterator iterator(Iterable c) {
  return c == null ? emptyIterator() : c.iterator();
}
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(int a, int b) {
  return a < b ? -1 : a == b ? 0 : 1;
}
static int cmp(long a, long 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 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(Object... objects) { throw new Fail(objects); }
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 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();
}
// 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 Runnable addThreadInfoToRunnable(final Object r) {
  final Object info = _threadInfo();
  return info == null ? asRunnable(r) : new Runnable() {  public void run() { try {  _inheritThreadInfo(info); callF(r); 
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "_inheritThreadInfo(info); callF(r);"; }};
}
//static event executingSwingCode(Runnable code);
static transient Set> onExecutingSwingCode;
public static void onExecutingSwingCode(IVF1 f) { onExecutingSwingCode = createOrAddToSyncLinkedHashSet(onExecutingSwingCode, f); }
public static void removeExecutingSwingCodeListener(IVF1 f) { main.remove(onExecutingSwingCode, f); }
public static void executingSwingCode(Runnable code) {  if (onExecutingSwingCode != null) for (var listener : onExecutingSwingCode) pcallF_typed(listener, code); }
static Map> callF_cache = newDangerousWeakHashMap();
  static  A callF(F0 f) {
    return f == null ? null : f.get();
  }
  static  B callF(F1 f, A a) {
    return f == null ? null : f.get(a);
  }
  static  A callF(IF0 f) {
    return f == null ? null : f.get();
  }
  static  B callF(IF1 f, A a) {
    return f == null ? null : f.get(a);
  }
static  B callF(A a, IF1 f) {
  return f == null ? null : f.get(a);
}
  static  C callF(IF2 f, A a, B b) {
    return f == null ? null : f.get(a, b);
  }
  static  void callF(VF1 f, A a) {
    if (f != null) f.get(a);
  }
static  void callF(A a, IVF1 f) {
  if (f != null) f.get(a);
}
static  void callF(IVF1 f, A a) {
  if (f != null) f.get(a);
}
static Object callF(Runnable r) { { if (r != null) r.run(); } return null; }
static Object callF(Object f, Object... args) {
  
    
  return safeCallF(f, args);
}
static Object safeCallF(Object f, Object... args) {
  if (f instanceof Runnable) {
    ((Runnable) f).run();
    return null;
  }
  if (f == null) return null;
  
  Class c = f.getClass();
  ArrayList methods;
  synchronized(callF_cache) {
    methods = callF_cache.get(c);
    if (methods == null)
      methods = callF_makeCache(c);
  }
  
  int n = l(methods);
  if (n == 0) {
    
    
    if (f instanceof String)
      throw fail("Legacy call: " + f);
    
    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));
}
// used internally
static ArrayList callF_makeCache(Class c) {
  ArrayList 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;
}
// legacy mode
//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 ping_actions = newWeakHashMap();
static ThreadLocal ping_isCleanUpThread = new ThreadLocal();
// ignore pingSource if not PingV3
static boolean ping(PingSource pingSource) { return ping(); }
// always returns true
static boolean ping() {
  //ifdef useNewPing
  newPing();
  //endifdef
  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 pcallF_minimalExceptionHandling(Object f, Object... args) {
  try {
    return callFunction(f, args);
  } catch (Throwable e) {
    System.out.println(getStackTrace(e));
    _storeException(e);
  }
  return null;
}
static Set vm_generalIdentityHashSet(Object name) {
  synchronized(vm_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(vm_generalMap()) {
    Map m =  (Map) (vm_generalMap_get(name));
    if (m == null)
      vm_generalMap_put(name, m = syncHashMap());
    return m;
  }
}
static String getClassName(Object o) {
  return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
static boolean eq(Object a, Object b) {
  return a == b || a != null && b != null && a.equals(b);
}
// a little kludge for stuff like eq(symbol, "$X")
static boolean eq(Symbol a, String b) {
  return eq(str(a), b);
}
static Iterator emptyIterator() {
  return Collections.emptyIterator();
}
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 List> _threadInfo_makers = synchroList();
static Object _threadInfo() {
  if (empty(_threadInfo_makers)) return null;
  HashMap map = new HashMap();
  pcallFAll(_threadInfo_makers, map);
  return map;
}
static Runnable asRunnable(Object o) {
  return toRunnable(o);
}
static void _inheritThreadInfo(Object info) {
  _threadInheritInfo(info);
}
static  Set createOrAddToSyncLinkedHashSet(Set set, A a) {
  if (set == null) set = syncLinkedHashSet();
  set.add(a);
  return set;
}
static Class main() {
  return getMainClass();
}
static  void remove(List l, int i) {
  if (l != null && i >= 0 && i < l(l))
    l.remove(i);
}
static  void remove(Collection l, A a) {
  if (l != null) l.remove(a);
}
static  B remove(Map map, Object a) {
  return map == null ? null : map.remove(a);
}
static void remove(BitSet bs, int i) {
  bs.clear(i);
}
static  A pcallF_typed(F0 f) {
  try { return f == null ? null : f.get(); } catch (Throwable __e) { pcallFail(__e); } return null;
}
static  B pcallF_typed(F1 f, A a) {
  try { return f == null ? null : f.get(a); } catch (Throwable __e) { pcallFail(__e); } return null;
}
static  void pcallF_typed(VF1 f, A a) {
  try {
    { if (f != null) f.get(a); }
  } catch (Throwable __e) { pcallFail(__e); }
}
static  void pcallF_typed(IVF1 f, A a) {
  try {
    { if (f != null) f.get(a); }
  } catch (Throwable __e) { pcallFail(__e); }
}
static  void pcallF_typed(IVF2 f, A a, B b) {
  try {
    { if (f != null) f.get(a, b); }
  } catch (Throwable __e) { pcallFail(__e); }
}
static Object pcallF_typed(Runnable r) {
  try { { if (r != null) r.run(); } } catch (Throwable __e) { pcallFail(__e); } return null;
}
static  A pcallF_typed(IF0 f) {
  try { return f == null ? null : f.get(); } catch (Throwable __e) { pcallFail(__e); } return null;
}
static  B pcallF_typed(IF1 f, A a) {
  try { return f == null ? null : f.get(a); } catch (Throwable __e) { pcallFail(__e); } return null;
}
static  Map newDangerousWeakHashMap() {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()));
}
// initFunction: voidfunc(Map) - is called initially, and after clearing the map
static  Map newDangerousWeakHashMap(Object initFunction) {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()), initFunction);
}
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 != l(args)) {
    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  Map newWeakHashMap() {
  return _registerWeakMap(synchroMap(new WeakHashMap()));
}
static void newPing() {
  var tl = newPing_actionTL();
  Runnable action = tl == null ? null : tl.get();
  { if (action != null) action.run(); }
}
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 boolean isTrue(Boolean b) {
  return b != null && b.booleanValue();
}
static void failIfUnlicensed() {
  assertTrue("license off", licensed());
}
static Thread currentThread() {
  return Thread.currentThread();
}
static Object callFunction(Object f, Object... args) {
  return callF(f, args);
}
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 getStackTrace(String msg) {
  return getStackTrace_noRecord(new Throwable(msg));
}
static Throwable _storeException_value;
static void _storeException(Throwable e) {
  _storeException_value = 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 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  Set syncIdentityHashSet() {
  return (Set) synchronizedSet(identityHashSet());
}
static Map syncHashMap() {
  return synchroHashMap();
}
static  List synchroList() {
  return synchroList(new ArrayList());
}
static  List synchroList(List l) {
  
  
    return Collections.synchronizedList(l);
  
}
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 Runnable toRunnable(final Object o) {
  if (o == null) return null;
  if (o instanceof Runnable) return (Runnable) o;
  
  if (o instanceof String) throw fail("callF_legacy");
  
  return new Runnable() {  public void run() { try {  callF(o) ;
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "callF(o)"; }};
}
static List> _threadInheritInfo_retrievers = synchroList();
static void _threadInheritInfo(Object info) {
  if (info == null) return;
  pcallFAll(_threadInheritInfo_retrievers, (Map) info);
}
static  Set syncLinkedHashSet() {
  return synchroLinkedHashSet();
}
static Class getMainClass() {
  return mc();
}
static Class getMainClass(Object o) { try {
  if (o == null) return null;
  if (o instanceof Class && eq(((Class) o).getName(), "x30")) return (Class) o;
  ClassLoader cl = (o instanceof Class ? (Class) o : o.getClass()).getClassLoader();
  if (cl == null) return null;
  String name = mainClassNameForClassLoader(cl);
  return loadClassFromClassLoader_orNull(cl, name);
} catch (Exception __e) { throw rethrow(__e); } }
static void pcallFail(Throwable e) {
  pcallPolicyForThread().handlePcallFail(e);
}
static void pcallFail(String msg) {
  pcallFail(new Throwable(msg));
}
static List _registerDangerousWeakMap_preList;
static  A _registerDangerousWeakMap(A map) {
  return _registerDangerousWeakMap(map, null);
}
static  A _registerDangerousWeakMap(A map, Object init) {
  
  callF(init, map);
  
  if (init instanceof String) {
    final String f =  (String) init;
    init = new VF1