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.awt.datatransfer.StringSelection;
import java.text.*;
import java.text.NumberFormat;
import java.util.TimeZone;
import java.awt.geom.*;
import javax.swing.Icon;
class main {
static JComponent jVerticalCenter(Component c) {
  return c == null ? null : customLayoutPanel(new VerticalCenterLayout(), c);
}
// layouter: voidfunc(Container)
// or func(Container) -> Dimension [preferred size]
// or func(Container) -> Pair(Dimension, Dimension) [preferred, minimum]
static JPanel customLayoutPanel(final Object layouter) {
  return jpanel(layoutManagerFromFunction(layouter));
}
static JPanel customLayoutPanel(final Object layouter, final List extends Component> components) {
  return addAllComponents(customLayoutPanel(layouter), components);
}
static JPanel customLayoutPanel(LayoutManager layouter, Component... components) {
  return addAllComponents(customLayoutPanel(layouter), components);
}
static JPanel jpanel(LayoutManager layout, Object... components) { return jpanel(layout, asList(components)); }
static JPanel jpanel(LayoutManager layout, List components) {
  return smartAdd(jpanel(layout), components);
}
static JPanel jpanel(LayoutManager layout) {
  return swing(() -> new JPanel(layout));
}
static JPanel jpanel() {
  return swing(() -> new JPanel());
}
// layouter: voidfunc(Container)
// or func(Container) -> Dimension [preferred size]
// or func(Container) -> Pair(Dimension, Dimension) [preferred, minimum]
static LayoutManager layoutManagerFromFunction(final Object layouter) {
  if (layouter instanceof LayoutManager) return ((LayoutManager) layouter);
  
  return new AbstractLayoutManager() {
    public void layoutContainer(Container parent) {
      Object size = pcallF(layouter, parent);
      if (size instanceof Dimension)
        preferredSize = (Dimension) size;
      else if (size instanceof Pair) {
        preferredSize = (Dimension) ((Pair) size).a;
        minimumSize = (Dimension) ((Pair) size).b;
      }
    }
  };
}
static  A addAllComponents(A c, List extends Component> components) {
  if (nempty(components)) { swing(() -> { 
    for (Component x : components)
      c.add(x);
    revalidate(c);
  }); }
  return c;
}
static  A addAllComponents(A c, Component... components) {
  return addAllComponents(c, asList(components));
}
// 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(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 JPanel smartAdd(JPanel panel, List parts) {
  for (Object o : parts)
    addToContainer(panel, wrapForSmartAdd(o));
  return panel;
}
static JPanel smartAdd(JPanel panel, Object... parts) {
  return smartAdd(panel, asList(parts));
}
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 Object pcallF(Object f, Object... args) {
  return pcallFunction(f, args);
}
static  A pcallF(F0 f) {
  try { return f == null ? null : f.get(); } catch (Throwable __e) { printStackTrace(__e); } return null;
}
static  B pcallF(F1 f, A a) {
  try { return f == null ? null : f.get(a); } catch (Throwable __e) { printStackTrace(__e); } return null;
}
static  void pcallF(VF1 f, A a) {
  try {
    { if (f != null) f.get(a); }
  } catch (Throwable __e) { printStackTrace(__e); }
}
static Object pcallF(Runnable r) {
  try { { if (r != null) r.run(); } } catch (Throwable __e) { printStackTrace(__e); } return null;
}
static  A pcallF(IF0 f) {
  try { return f == null ? null : f.get(); } catch (Throwable __e) { printStackTrace(__e); } return null;
}
static  B pcallF(IF1 f, A a) {
  try { return f == null ? null : f.get(a); } catch (Throwable __e) { printStackTrace(__e); } return null;
}
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  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); }
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  List ll(A... a) {
  ArrayList l = new ArrayList(a.length);
  if (a != null) for (A x : a) l.add(x);
  return l;
}
static void addToContainer(Container a, Component... b) {
  if (a == null) return;
  { swing(() -> { 
    for (Component c : unnullForIteration(b))
      if (c != null) 
        a.add(c);
  }); }
}
static Component wrapForSmartAdd(Object o) {
  if (o == null) return jpanel();
  if (o instanceof String) return jlabel((String) o);
  return wrap(o);
}
static void swingAndWait(Runnable r) { try {
  if (isAWTThread())
    r.run();
  else
    EventQueue.invokeAndWait(addThreadInfoToRunnable(r));
} catch (Exception __e) { throw rethrow(__e); } }
static Object swingAndWait(final Object f) {
  if (isAWTThread())
    return callF(f);
  else {
    final Var result = new Var();
    swingAndWait(new Runnable() {  public void run() { try { 
      result.set(callF(f));
    
} catch (Exception __e) { throw rethrow(__e); } }  public String toString() { return "result.set(callF(f));"; }});
    return result.get();
  }
}
static Object pcallFunction(Object f, Object... args) {
  try { return callFunction(f, args); } catch (Throwable __e) { printStackTrace(__e); }
  return null;
}
static  A printStackTrace(A e) {
  // we go to system.out now - system.err is nonsense
  if (e != null) 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 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(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 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 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(IMultiMap mm) { return mm == null ? 0 : mm.size(); }
  static int l(IntSize o) { return o == null ? 0 : o.size(); }
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 JLabel jlabel(final String text) {
  return swingConstruct(BetterLabel.class, text);
}
static JLabel jlabel() {
  return jlabel(" ");
}
// c = Component or something implementing swing()
static JComponent wrap(Object swingable) {
  return _recordNewSwingComponent(wrap_2(swingable));
}
static JComponent wrap_2(Object swingable) {
  if (swingable == null) return null;
  JComponent c;
  if (swingable instanceof Component) c = componentToJComponent((Component) swingable);
  
  else c = componentToJComponent((Component) callOpt(swingable, "swing"));
  if (c instanceof JTable || c instanceof JList
    || c instanceof JTextArea || c instanceof JEditorPane
    || c instanceof JTextPane || c instanceof JTree)
    return jscroll(c);
  return c == null ? jlabel(str(swingable)) : c;
}
// 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 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 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  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;
}
static Object callFunction(Object f, Object... args) {
  return callF(f, args);
}
static volatile StringBuffer local_log = new StringBuffer(); // not redirected
static boolean printAlsoToSystemOut = true;
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