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 java.awt.geom.*;
import static x30_pkg.x30_util.DynamicObject;
import java.text.*;
import java.text.NumberFormat;
import java.util.TimeZone;
class main {
abstract static class AbstractQuadTree extends WAndHImpl implements Matrix {
static class Composite extends Object {
Object a, b, c, d;
void set(int idx, Object n) {
if (idx == 0) a = n;
if (idx == 1) b = n;
if (idx == 2) c = n;
if (idx == 3) d = n;
}
Composite(Object n) {
a = b = c = d = n;
}
boolean simplifiable() {
return allEq(a, b, c, d);
}
int compositeNodeCount() { return 1+
_compositeNodeCount(a) +
_compositeNodeCount(b) +
_compositeNodeCount(c) +
_compositeNodeCount(d);
}
}
Object root = defaultValue();
AbstractQuadTree() {}
AbstractQuadTree(int width, int height) {
this.height = height;
this.width = width;}
int half(int x) { return roundUpToPowerOfTwo((x+1)/2); }
int halfX(Rect r) { return r.x+half(r.w); }
int halfY(Rect r) { return r.y+half(r.h); }
Rect rectA(Rect r) { return rect(r.x, r.y, half(r.w), half(r.h)); }
Rect rectB(Rect r) { return rectFromPoints(r.x+half(r.w), r.y, r.x2(), halfY(r)); }
Rect rectC(Rect r) { return rectFromPoints(r.x, r.y+half(r.h), r.x+half(r.w), r.y2()); }
Rect rectD(Rect r) { return rectFromPoints(r.x+half(r.w), r.y+half(r.h), r.x2(), r.y2()); }
public A get(int x, int y) {
Object node = root;
Rect r = rect(0, 0, width, height);
while (node instanceof Composite) {
int hx = halfX(r), hy = halfY(r);
if (y < hy)
if (x < hx) {
node = ((Composite) node).a; r = rectA(r);
} else {
node = ((Composite) node).b; r = rectB(r);
}
else
if (x < hx) {
node = ((Composite) node).c; r = rectC(r);
} else {
node = ((Composite) node).d; r = rectD(r);
}
}
return (A) node;
}
public void set(int x, int y, A value) {
set(pointRect(x, y), value);
}
void set(Rect r, A value) {
set(rootCursor(), r, value);
}
void set(Cursor cursor, Rect r, A value) {
if (metaGet("scaffolding") != null) scaffoldCalled(this, "set", cursor, r, value);
// no intersection? exit
if (!rectsIntersect(r, cursor.r)) return;
// fully contained? replace with primitive
if (rectContains(r, cursor.r))
cursor.replace(value);
else {
// partial intersection - turn into composite
cursor.turnIntoComposite();
for (Cursor c : cursor.subCursors())
set(c, r, value);
}
cursor.simplify();
}
class Cursor {
final public Cursor setParent(Composite parent){ return parent(parent); }
public Cursor parent(Composite parent) { this.parent = parent; return this; } final public Composite getParent(){ return parent(); }
public Composite parent() { return parent; }
Composite parent;
final public Cursor setIndexInParent(int indexInParent){ return indexInParent(indexInParent); }
public Cursor indexInParent(int indexInParent) { this.indexInParent = indexInParent; return this; } final public int getIndexInParent(){ return indexInParent(); }
public int indexInParent() { return indexInParent; }
int indexInParent;
final public Cursor setR(Rect r){ return r(r); }
public Cursor r(Rect r) { this.r = r; return this; } final public Rect getR(){ return r(); }
public Rect r() { return r; }
Rect r;
final public Cursor setNode(Object node){ return node(node); }
public Cursor node(Object node) { this.node = node; return this; } final public Object getNode(){ return node(); }
public Object node() { return node; }
Object node;
List subCursors() {
if (node instanceof Composite)
return ll(
subCursor(0, ((Composite) node).a, rectA(r)),
subCursor(1, ((Composite) node).b, rectB(r)),
subCursor(2, ((Composite) node).c, rectC(r)),
subCursor(3, ((Composite) node).d, rectD(r)));
return emptyList();
}
Cursor subCursor(int idx, Object n, Rect r) {
return new Cursor().r(r).node(n)
.parent((Composite) node).indexInParent(idx);
}
void turnIntoComposite() {
if (metaGet("scaffolding") != null) scaffoldCalled(this, "turnIntoComposite");
if (!(node instanceof Composite))
replace(new Composite(node));
}
void replace(Object n) {
if (metaGet("scaffolding") != null) scaffoldCalled(this, "replace", n);
if (node == n) return;
node = n;
if (parent == null)
root = n;
else
parent.set(indexInParent, n);
}
// opposite of turnIntoComposite
void simplify() {
if (metaGet("scaffolding") != null) scaffoldCalled(this, "simplify");
if (node instanceof Composite && ((Composite) node).simplifiable())
replace(((Composite) node).a);
}
/*toString {
ret stdToString(this);
}*/
}
Cursor rootCursor() {
return new Cursor().r(bounds()).node(root);
}
static int _compositeNodeCount(Object n) {
if (n instanceof Composite)
return ((Composite) n).compositeNodeCount();
return 0;
}
int compositeNodeCount() { return _compositeNodeCount(root); }
abstract A defaultValue();
}
static boolean allEq(Object... l) {
if (empty(l)) return true;
int n = l(l);
Object o = l[0];
for (int i = 1; i < n; i++)
if (neq(l[i], o)) return false;
return true;
}
static boolean allEq(Iterable l) {
var it = iterator(l);
if (!it.hasNext()) return true;
A o = it.next();
while (it.hasNext())
if (neq(it.next(), o)) return false;
return true;
}
static int roundUpToPowerOfTwo(int v) {
v--;
v |= v >> 1;
v |= v >> 2;
v |= v >> 4;
v |= v >> 8;
v |= v >> 16;
return v+1;
}
static long roundUpToPowerOfTwo(long v) {
long i = Long.highestOneBit(v);
return v > i ? i << 1 : i;
}
static int half(int i) {
return i/2;
}
static Rect rect(int x, int y, int w, int h) {
return new Rect(x, y, w, h);
}
static Rect rect(Pt p, int w, int h) {
return new Rect(p.x, p.y, w, h);
}
static Rect rect(int w, int h) {
return new Rect(0, 0, w, h);
}
static Rect rectFromPoints(int x1, int y1, int x2, int y2) {
return pointsRect(x1, y1, x2, y2);
}
static Rect rectFromPoints(Pt a, Pt b) {
return pointsRect(a.x, a.y, b.x, b.y);
}
static 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 void set(BitSet bs, int idx) {
{ if (bs != null) bs.set(idx); }
}
static Rect pointRect(int x, int y) {
return singlePointRect(x, y);
}
static Object metaGet(IMeta o, Object key) {
return metaMapGet(o, key);
}
static Object metaGet(Object o, Object key) {
return metaMapGet(o, key);
}
static Object metaGet(String key, IMeta o) {
return metaMapGet(o, key);
}
static Object metaGet(String key, Object o) {
return metaMapGet(o, key);
}
static void scaffoldCalled(Object obj, Object function, Object... args) {
printShortenedFunctionCall(200, (obj == null ? "" : shorten(20, str(obj)) + " :: ") + function, args);
}
static boolean rectsIntersect(Rect a, Rect b) {
return rectsOverlap(a, b);
}
static boolean rectContains(int x1, int y1, int w, int h, Pt p) {
return p.x >= x1 && p.y >= y1 && p.x < x1+w && p.y < y1+h;
}
static boolean rectContains(Rect a, Rect b) {
return b.x >= a.x && b.y >= a.y && b.x2() <= a.x2() && b.y2() <= a.y2();
}
static boolean rectContains(Rect a, Rectangle b) {
return rectContains(a, toRect(b));
}
static boolean rectContains(Rect a, int x, int y) {
return a != null && a.contains(x, y);
}
static boolean rectContains(Rect a, Pt p) {
return a != null && p != null && a.contains(p);
}
static Container getParent(final Component c) {
return c == null ? null : swing(new F0() { public Container get() { try { return c.getParent(); } catch (Exception __e) { throw rethrow(__e); } }
public String toString() { return "return c.getParent();"; }});
}
static List ll(A... a) {
ArrayList l = new ArrayList(a.length);
if (a != null) for (A x : a) l.add(x);
return l;
}
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 replace(List l, A a, A b) {
for (int i = 0; i < l(l); i++)
if (eq(l.get(i), a))
l.set(i, b);
return l;
}
static List replace(A a, A b, List l) {
return replace(l, a, b);
}
// replace all occurrences of a in s with b
static String replace(String s, String a, String b) {
return s == null ? null : a == null || b == null ? s : s.replace(a, b);
}
static String replace(String s, char a, char b) {
return s == null ? null : s.replace(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(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 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 neq(Object a, Object b) {
return !eq(a, b);
}
static Iterator iterator(Iterable c) {
return c == null ? emptyIterator() : c.iterator();
}
static Rect pointsRect(int x1, int y1, int x2, int y2) {
return new Rect(x1, y1, x2-x1, y2-y1);
}
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 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)
{ f.set(o, ((Long) value).intValue()); return; }
if (type == boolean.class && value instanceof String)
{ f.set(o, isTrueOrYes(((String) value))); return; }
if (type == LinkedHashMap.class && value instanceof Map)
{ f.set(o, asLinkedHashMap((Map) value)); return; }
throw e;
}
}
static Rect singlePointRect(int x, int y) {
return rect(x, y, 1, 1);
}
static Object metaMapGet(IMeta o, Object key) {
return o == null ? null : o.metaGet(key); // We now let the object itself do it (overridable!)
}
static Object metaMapGet(Object o, Object key) {
return metaMapGet(toIMeta(o), key);
}
static void printShortenedFunctionCall(Object fname, Object... args) { printShortenedFunctionCall(100, fname, args); }
static void printShortenedFunctionCall(int len, Object fname, Object... args) {
print(shorten(len, formatFunctionCall(fname, args)));
}
static int shorten_default = 100;
static String shorten(CharSequence s) { return shorten(s, shorten_default); }
static String shorten(CharSequence s, int max) {
return shorten(s, max, "...");
}
static String shorten(CharSequence s, int max, String shortener) {
if (s == null) return "";
if (max < 0) return str(s);
return s.length() <= max ? str(s) : subCharSequence(s, 0, min(s.length(), max-l(shortener))) + shortener;
}
static String shorten(int max, CharSequence s) { return shorten(s, max); }
static String str(Object o) {
return o == null ? "null" : o.toString();
}
static String str(char[] c) {
return new String(c);
}
static String str(char[] c, int offset, int count) {
return new String(c, offset, count);
}
static boolean rectsOverlap(Rect a, Rect b) {
return !intersectRects(a, b).empty();
}
static Rect toRect(Rectangle r) {
return r == null ? null : new Rect(r);
}
static Rect toRect(RectangularShape r) {
return r == null ? null : toRect(r.getBounds());
}
static Rect toRect(Rect r) { return r; }
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);
}
// 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 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 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 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 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();
}
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 Iterator emptyIterator() {
return Collections.emptyIterator();
}
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 boolean isTrueOrYes(Object o) {
return isTrueOpt(o) || o instanceof String && (eqicOneOf(((String) o), "1", "t", "true") || isYes(((String) o)));
}
static LinkedHashMap asLinkedHashMap(Map map) {
if (map instanceof LinkedHashMap) return (LinkedHashMap) map;
LinkedHashMap m = new LinkedHashMap();
if (map != null) synchronized(collectionMutex(map)) {
m.putAll(map);
}
return m;
}
static IMeta toIMeta(Object o) {
return initIMeta(o);
}
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