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.awt.geom.*;
import java.text.NumberFormat;
import java.util.TimeZone;
class main {
static class HashBinaryImage implements IFieldsToList{
IBinaryImage img;
HashBinaryImage() {}
HashBinaryImage(IBinaryImage img) {
this.img = img;}
public String toString() { return shortClassName_dropNumberPrefix(this) + "(" + img + ")"; }public Object[] _fieldsToList() { return new Object[] {img}; }
long hash;
long get() {
if (img == null) return hash;
var img = this.img.toImage2B();
int w = img.getWidth(), h = img.getHeight();
int n = w*h;
byte[] pixels = img.pixels;
addToHash(w);
addToHash(h);
for (int i = 0; i < n; i++)
addToHash((pixels[i/8] & (1 << (i & 7))) != 0 ? 0xFFFFFFFF : 0xFF000000);
return hash;
}
void addToHash(long x) {
hash = boostHashCombine64(hash, x);
}
}
static String shortClassName_dropNumberPrefix(Object o) {
return dropNumberPrefix(shortClassName(o));
}
static long boostHashCombine64(long a, long b) {
return a ^ (b + 0x9e3779b97f4a7c15L + (a << 6) + (a >>> 2));
}
static String dropNumberPrefix(String s) {
return dropFirst(s, indexOfNonDigit(s));
}
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 String[] dropFirst(int n, String[] a) {
return drop(n, a);
}
static String[] dropFirst(String[] a) {
return drop(1, a);
}
static Object[] dropFirst(Object[] a) {
return drop(1, a);
}
static List dropFirst(List l) {
return dropFirst(1, l);
}
static List dropFirst(int n, Iterable i) { return dropFirst(n, toList(i)); }
static List dropFirst(Iterable i) { return dropFirst(toList(i)); }
static List dropFirst(int n, List l) {
return n <= 0 ? l : new ArrayList(l.subList(Math.min(n, l.size()), l.size()));
}
static List dropFirst(List l, int n) {
return dropFirst(n, l);
}
static String dropFirst(int n, String s) { return substring(s, n); }
static String dropFirst(String s, int n) { return substring(s, n); }
static String dropFirst(String s) { return substring(s, 1); }
static Chain dropFirst(Chain c) {
return c == null ? null : c.next;
}
static int indexOfNonDigit(String s) {
int n = l(s);
for (int i = 0; i < n; i++)
if (!isDigit(s.charAt(i)))
return i;
return -1;
}
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 String[] drop(int n, String[] a) {
n = Math.min(n, a.length);
String[] b = new String[a.length-n];
System.arraycopy(a, n, b, 0, b.length);
return b;
}
static Object[] drop(int n, Object[] a) {
n = Math.min(n, a.length);
Object[] b = new Object[a.length-n];
System.arraycopy(a, n, b, 0, b.length);
return b;
}
static List drop(Iterable c, Object pred) {
return antiFilter(c, pred);
}
static List drop(Object pred, Iterable c) {
return antiFilter(pred, c);
}
static List drop(Object pred, Object[] c) {
return antiFilter(pred, c);
}
static List drop(Iterable c, F1 pred) {
return antiFilter(c, pred);
}
static List drop(F1 pred, Iterable c) {
return antiFilter(pred, c);
}
static List drop(Iterable c, IF1 pred) {
return antiFilter(c, pred);
}
static List drop(IF1 pred, Iterable c) {
return antiFilter(pred, c);
}
static ArrayList toList(A[] a) { return asList(a); }
static ArrayList toList(int[] a) { return asList(a); }
static ArrayList toList(short[] a) { return asList(a); }
static ArrayList toList(long[] a) { return asList(a); }
static ArrayList toList(double[] a) { return asList(a); }
static ArrayList toList(float[] a) { return asList(a); }
static ArrayList toList(Set s) { return asList(s); }
static ArrayList toList(Iterable s) { return asList(s); }
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;
int n = s.length();
if (y < x) y = x;
if (y > n) y = n;
if (x >= y) return "";
return s.substring(x, y);
}
// convenience method for quickly dropping a prefix
static String substring(String s, CharSequence l) {
return substring(s, lCharSequence(l));
}
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 boolean isDigit(char c) {
return Character.isDigit(c);
}
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 int lastIndexOf(List 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 int lastIndexOf(List l, A a) {
if (l == null) return -1;
for (int i = l(l)-1; i >= 0; i--)
if (eq(l.get(i), a))
return i;
return -1;
}
static List antiFilter(Iterable c, Object pred) {
if (pred instanceof F1) return antiFilter(c, (F1) pred);
List x = new ArrayList();
if (c != null) for (Object o : c)
if (!isTrue(callF(pred, o)))
x.add(o);
return x;
}
static List antiFilter(Object pred, Iterable c) {
return antiFilter(c, pred);
}
static List antiFilter(Object pred, Object[] c) {
return antiFilter(pred, wrapArrayAsList(c));
}
static List antiFilter(Iterable c, F1 pred) {
List x = new ArrayList();
if (c != null) for (B o : c)
if (!pred.get(o).booleanValue())
x.add(o);
return x;
}
static List antiFilter(F1 pred, Iterable c) {
return antiFilter(c, pred);
}
static List antiFilter(Iterable c, IF1 pred) {
List x = new ArrayList();
if (c != null) for (B o : c)
if (!pred.get(o).booleanValue())
x.add(o);
return x;
}
static List antiFilter(IF1 pred, Iterable c) {
return antiFilter(c, pred);
}
// 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 int strL(String s) {
return s == null ? 0 : s.length();
}
static int lCharSequence(CharSequence s) {
return s == null ? 0 : s.length();
}
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 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 min(A a, A b) {
return cmp(a, b) <= 0 ? a : b;
}
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 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 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;
}
static List wrapArrayAsList(A[] a) {
return a == null ? null : Arrays.asList(a);
}
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 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 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 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 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 getClassName(Object o) {
return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
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 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 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 void _handleError(Error e) {
//call(javax(), '_handleError, e);
}
static RuntimeException asRuntimeException(Throwable t) {
if (t instanceof Error)
_handleError((Error) t);
return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
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