import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
class main {
static List pairsASortedByBDesc(Collection> l) {
return pairsA(pairsSortedByBDesc(l));
}
static List pairsA(Collection> l) {
return firstOfPairs(l);
}
static List> pairsSortedByBDesc(Collection> l) {
return sortedByComparator(l, new Comparator>() {
public int compare(Pair a, Pair b) {
return cmp(b.b, a.b);
}
});
}
static List firstOfPairs(Collection> l) {
List out = new ArrayList();
for (Pair p : unnull(l)) out.add(firstOfPair(p));
return out;
}
static List sortedByComparator(Collection l, Comparator c) {
List l2 = cloneList(l);
sort(l2, c);
return l2;
}
static List sortedByComparator(Comparator c, Collection l) {
return sortedByComparator(l, c);
}
static int cmp(Number a, Number b) {
return a == null ? b == null ? 0 : -1 : cmp(a.doubleValue(), b.doubleValue());
}
static int cmp(double a, double b) {
return a < b ? -1 : a == b ? 0 : 1;
}
static int cmp(Object a, Object b) {
if (a == null) return b == null ? 0 : -1;
if (b == null) return 1;
return ((Comparable) a).compareTo(b);
}
static String 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 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;
}
//ifclass Symbol
static Pair unnull(Pair p) {
return p != null ? p : new Pair(null, null);
}
static A firstOfPair(Pair p) {
return p == null ? null : p.a;
}
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 void sort(T[] a, Comparator super T> c) {
Arrays.sort(a, c);
}
static void sort(T[] a) {
Arrays.sort(a);
}
static void sort(int[] a) { if (a != null) Arrays.sort(a); }
static void sort(List a, Comparator super T> c) {
Collections.sort(a, c);
}
static void sort(List a) {
Collections.sort(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 Map emptyMap() {
return new HashMap();
}
static Object[] emptyObjectArray_a = new Object[0];
static Object[] emptyObjectArray() { return emptyObjectArray_a; }
static ArrayList asList(A[] a) {
return a == null ? new ArrayList() : new ArrayList(Arrays.asList(a));
}
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(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(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 Object collectionMutex(List l) {
return l;
}
static Object collectionMutex(Object o) {
if (o instanceof List) return o;
String c = className(o);
if (eq(c, "java.util.TreeMap$KeySet"))
c = className(o = getOpt(o, "m"));
else if (eq(c, "java.util.HashMap$KeySet"))
c = className(o = get_raw(o, "this$0"));
if (eqOneOf(c, "java.util.TreeMap$AscendingSubMap", "java.util.TreeMap$DescendingSubMap"))
c = className(o = get_raw(o, "m"));
return o;
}
static int max(int a, int b) { return Math.max(a, b); }
static int max(int a, int b, int c) { return max(max(a, b), c); }
static long max(int a, long b) { return Math.max((long) a, b); }
static long max(long a, long b) { return Math.max(a, b); }
static double max(int a, double b) { return Math.max((double) a, b); }
static float max(float a, float b) { return Math.max(a, b); }
static double max(double a, double b) { return Math.max(a, b); }
static int max(Collection c) {
int x = Integer.MIN_VALUE;
for (int i : c) x = max(x, i);
return x;
}
static double max(double[] c) {
if (c.length == 0) return Double.MIN_VALUE;
double x = c[0];
for (int i = 1; i < c.length; i++) x = Math.max(x, c[i]);
return x;
}
static float max(float[] c) {
if (c.length == 0) return Float.MAX_VALUE;
float x = c[0];
for (int i = 1; i < c.length; i++) x = Math.max(x, c[i]);
return x;
}
static byte max(byte[] c) {
byte x = -128;
for (byte d : c) if (d > x) x = d;
return x;
}
static short max(short[] c) {
short x = -0x8000;
for (short d : c) if (d > x) x = d;
return x;
}
static int max(int[] c) {
int x = Integer.MIN_VALUE;
for (int d : c) if (d > x) x = d;
return x;
}
static int l(Object[] a) { return a == null ? 0 : a.length; }
static int l(boolean[] a) { return a == null ? 0 : a.length; }
static int l(byte[] a) { return a == null ? 0 : a.length; }
static int l(short[] a) { return a == null ? 0 : a.length; }
static int l(long[] a) { return a == null ? 0 : a.length; }
static int l(int[] a) { return a == null ? 0 : a.length; }
static int l(float[] a) { return a == null ? 0 : a.length; }
static int l(double[] a) { return a == null ? 0 : a.length; }
static int l(char[] a) { return a == null ? 0 : a.length; }
static int l(Collection c) { return c == null ? 0 : c.size(); }
static int l(Iterator i) { return iteratorCount_int_close(i); } // consumes the iterator && closes it if possible
static int l(Map m) { return m == null ? 0 : m.size(); }
static int l(CharSequence s) { return s == null ? 0 : s.length(); }
static long l(File f) { return f == null ? 0 : f.length(); }
static int l(Object o) {
return o == null ? 0
: o instanceof String ? l((String) o)
: o instanceof Map ? l((Map) o)
: o instanceof Collection ? l((Collection) o)
: o instanceof Object[] ? l((Object[]) o)
: o instanceof boolean[] ? l((boolean[]) o)
: o instanceof byte[] ? l((byte[]) o)
: o instanceof char[] ? l((char[]) o)
: o instanceof short[] ? l((short[]) o)
: o instanceof int[] ? l((int[]) o)
: o instanceof float[] ? l((float[]) o)
: o instanceof double[] ? l((double[]) o)
: o instanceof long[] ? l((long[]) o)
: (Integer) call(o, "size");
}
static String className(Object o) {
return getClassName(o);
}
static boolean eq(Object a, Object b) {
return a == b || (a == null ? b == null : b != null && a.equals(b));
}
static Object getOpt(Object o, String field) {
return getOpt_cached(o, field);
}
static Object getOpt(String field, Object o) {
return getOpt_cached(o, field);
}
static Object getOpt_raw(Object o, String field) { try {
Field f = getOpt_findField(o.getClass(), field);
if (f == null) return null;
makeAccessible(f);
return f.get(o);
} catch (Exception __e) { throw rethrow(__e); } }
// access of static fields is not yet optimized
static Object getOpt(Class c, String field) { try {
if (c == null) return null;
Field f = getOpt_findStaticField(c, field);
if (f == null) return null;
makeAccessible(f);
return f.get(null);
} catch (Exception __e) { throw rethrow(__e); } }
static Field getOpt_findStaticField(Class> c, String field) {
Class _c = c;
do {
for (Field f : _c.getDeclaredFields())
if (f.getName().equals(field) && (f.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0)
return f;
_c = _c.getSuperclass();
} while (_c != null);
return null;
}
// 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);
}
} 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 eqOneOf(Object o, Object... l) {
for (Object x : l) if (eq(o, x)) return true; return false;
}
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 Object call(Object o) {
return callF(o);
}
// varargs assignment fixer for a single string array argument
static Object call(Object o, String method, String[] arg) {
return call(o, method, new Object[] {arg});
}
static Object call(Object o, String method, Object... args) {
//ret call_cached(o, method, args);
return call_withVarargs(o, method, args);
}
static String getClassName(Object o) {
return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
static String str(Object o) {
return o == null ? "null" : o.toString();
}
static String str(char[] c) {
return new String(c);
}
//static final Map> getOpt_cache = newDangerousWeakHashMap(f getOpt_special_init);
static class getOpt_Map extends WeakHashMap {
getOpt_Map() {
if (getOpt_special == null) getOpt_special = new HashMap();
clear();
}
public void clear() {
super.clear();
//print("getOpt clear");
put(Class.class, getOpt_special);
put(String.class, getOpt_special);
}
}
static final Map> getOpt_cache = _registerDangerousWeakMap(synchroMap(new getOpt_Map()));
//static final Map> getOpt_cache = _registerWeakMap(synchroMap(new getOpt_Map));
static HashMap getOpt_special; // just a marker
/*static void getOpt_special_init(Map map) {
map.put(Class.class, getOpt_special);
map.put(S.class, getOpt_special);
}*/
static Object getOpt_cached(Object o, String field) { try {
if (o == null) return null;
Class c = o.getClass();
HashMap map;
synchronized(getOpt_cache) {
map = getOpt_cache.get(c);
if (map == null)
map = getOpt_makeCache(c);
}
if (map == getOpt_special) {
if (o instanceof Class)
return getOpt((Class) o, field);
/*if (o instanceof S)
ret getOpt(getBot((S) o), field);*/
if (o instanceof Map)
return ((Map) o).get(field);
}
Field f = map.get(field);
if (f != null) return f.get(o);
return null;
} catch (Exception __e) { throw rethrow(__e); } }
// used internally - we are in synchronized block
static HashMap getOpt_makeCache(Class c) {
HashMap map;
if (isSubtypeOf(c, Map.class))
map = getOpt_special;
else {
map = new HashMap();
if (!reflection_classesNotToScan().contains(c.getName())) {
Class _c = c;
do {
for (Field f : _c.getDeclaredFields()) {
makeAccessible(f);
String name = f.getName();
if (!map.containsKey(name))
map.put(name, f);
}
_c = _c.getSuperclass();
} while (_c != null);
}
}
if (getOpt_cache != null) getOpt_cache.put(c, map);
return map;
}
static Field getOpt_findField(Class> c, String field) {
Class _c = c;
do {
for (Field f : _c.getDeclaredFields())
if (f.getName().equals(field))
return f;
_c = _c.getSuperclass();
} while (_c != null);
return null;
}
static Field makeAccessible(Field f) {
try {
f.setAccessible(true);
} catch (Throwable e) {
// Note: The error reporting only works with Java VM option --illegal-access=deny
vmBus_send("makeAccessible_error",e, f);
}
return f;
}
static Method makeAccessible(Method m) {
try {
m.setAccessible(true);
} catch (Throwable e) {
vmBus_send("makeAccessible_error",e, m);
}
return m;
}
static Constructor makeAccessible(Constructor c) {
try {
c.setAccessible(true);
} catch (Throwable e) {
vmBus_send("makeAccessible_error",e, c);
}
return c;
}
static RuntimeException 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 RuntimeException asRuntimeException(Throwable t) {
if (t instanceof Error)
_handleError((Error) t);
return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static Map> callF_cache = newDangerousWeakHashMap();
static B callF(F1 f, A a) {
return f == null ? null : f.get(a);
}
static void callF(VF1 f, A a) {
if (f != null) f.get(a);
}
static Object callF(Object f, Object... args) { try {
if (f instanceof String)
return callMCWithVarArgs((String) f, args); // possible SLOWDOWN over callMC
if (f instanceof Runnable) {
((Runnable) f).run();
return null;
}
if (f == null) return null;
Class c = f.getClass();
ArrayList methods;
synchronized(callF_cache) {
methods = callF_cache.get(c);
if (methods == null)
methods = callF_makeCache(c);
}
int n = l(methods);
if (n == 0) {
throw fail("No get method in " + getClassName(c));
}
if (n == 1) return invokeMethod(methods.get(0), f, args);
for (int i = 0; i < n; i++) {
Method m = methods.get(i);
if (call_checkArgs(m, args, false))
return invokeMethod(m, f, args);
}
throw fail("No matching get method in " + getClassName(c));
} catch (Exception __e) { throw rethrow(__e); } }
// used internally
static ArrayList 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 call_withVarargs(Object o, String method, Object... args) { try {
if (o == null) return null;
if (o instanceof Class) {
Class c = (Class) o;
_MethodCache cache = callOpt_getCache(c);
Method me = cache.findStaticMethod(method, args);
if (me != null)
return invokeMethod(me, null, args);
// try varargs
List methods = cache.cache.get(method);
if (methods != null) methodSearch: for (Method m : methods) {
{ if (!(m.isVarArgs())) continue; }
{ if (!(isStaticMethod(m))) continue; }
Object[] newArgs = massageArgsForVarArgsCall(m, args);
if (newArgs != null)
return invokeMethod(m, null, newArgs);
}
throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found");
} else {
Class c = o.getClass();
_MethodCache cache = callOpt_getCache(c);
Method me = cache.findMethod(method, args);
if (me != null)
return invokeMethod(me, o, args);
// try varargs
List methods = cache.cache.get(method);
if (methods != null) methodSearch: for (Method m : methods) {
{ if (!(m.isVarArgs())) continue; }
Object[] newArgs = massageArgsForVarArgsCall(m, args);
if (newArgs != null)
return invokeMethod(m, o, newArgs);
}
throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found");
}
} catch (Exception __e) { throw rethrow(__e); } }
static void clear(Collection c) {
if (c != null) c.clear();
}
static void clear(Map map) {
if (map != null) map.clear();
}
static void put(Map map, A a, B b) {
if (map != null) map.put(a, b);
}
static void put(List l, int i, A a) {
if (l != null && i >= 0 && i < l(l)) l.set(i, a);
}
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