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.*;
// doesn't clean the coordinates
import java.awt.geom.*;
import javax.net.ssl.*;
import java.security.SecureRandom;
import java.security.cert.X509Certificate;
import java.text.SimpleDateFormat;
import java.text.NumberFormat;
class main {
static BufferedImage ii_clip(IntegralImage img, int x1, int y1, int w, int h) {
if (img == null) return null;
BufferedImage out = newBufferedImage(w, h);
for (int y = 0; y < h; y++)
for (int x = 0; x < w; x++)
out.setRGB(x, y, ii_getPixel(img, x1+x, y1+y));
return out;
}
static BufferedImage ii_clip(IntegralImage ii, DoubleRect r) {
return ii_clip(ii, toRect(r));
}
static BufferedImage ii_clip(IntegralImage ii, Rect r) {
return r == null ? null : ii_clip(ii, r.x, r.y, r.w, r.h);
}
// undefined color, seems to be all black in practice
static BufferedImage newBufferedImage(int w, int h) {
return new BufferedImage(w, h, BufferedImage.TYPE_INT_RGB);
}
static BufferedImage newBufferedImage(int w, int h, RGB rgb) {
return newBufferedImage(w, h, toColor(rgb));
}
static BufferedImage newBufferedImage(int w, int h, Color color) {
BufferedImage img = newBufferedImage(w, h);
Graphics2D g = img.createGraphics();
g.setColor(color);
g.fillRect(0, 0, w, h);
return img;
}
static BufferedImage newBufferedImage(Pt p, Color color) {
return newBufferedImage(p.x, p.y, color);
}
// assumes coordinates are in range
static int ii_getPixel(IntegralImage img, int x, int y) {
if (img == null) return 0;
int r = integralImage_sumRect(img, x, y, x+1, y+1, 0);
int g = integralImage_sumRect(img, x, y, x+1, y+1, 1);
int b = integralImage_sumRect(img, x, y, x+1, y+1, 2);
return rgbInt(r, g, b);
}
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(DoubleRect r) {
if (r == null) return null;
int x = iround(r.x), y = iround(r.y);
return new Rect(x, y, iround(r.x2())-x, iround(r.y2())-y);
}
static Color toColor(RGB rgb) {
return rgb == null ? null : rgb.getColor();
}
static Color toColor(int rgb) {
return new Color(rgb);
}
static Color toColor(String hex) {
return awtColor(hex);
}
// one channel
static int integralImage_sumRect(IntegralImage img, int x1, int y1, int x2, int y2, int channel) {
int bottomLeft = img.get(x1-1, y2-1, channel);
int bottomRight = img.get(x2-1, y2-1, channel);
int topLeft = img.get(x1-1, y1-1, channel);
int topRight = img.get(x2-1, y1-1, channel);
return bottomRight+topLeft-topRight-bottomLeft;
}
// sum all channels. TODO: might exceed int range on huge images
static int integralImage_sumRect(IntegralImage img, int x1, int y1, int x2, int y2) {
int bottomLeft = img.get(x1-1, y2-1);
int bottomRight = img.get(x2-1, y2-1);
int topLeft = img.get(x1-1, y1-1);
int topRight = img.get(x2-1, y1-1);
return bottomRight+topLeft-topRight-bottomLeft;
}
static int rgbInt(int r, int g, int b) {
return (clamp(r, 0, 255) << 16) | (clamp(g, 0, 255) << 8) | clamp(b, 0, 255);
}
static int iround(double d) {
return (int) Math.round(d);
}
static int iround(Number n) {
return iround(toDouble(n));
}
static java.awt.Color awtColor(String hex) {
byte[] b = bytesFromHex(dropPrefix("#", hex));
return new Color(ubyteToInt(b[0]), ubyteToInt(b[1]), ubyteToInt(b[2]));
}
static float clamp(float x, float a, float b) {
return x < a ? a : x > b ? b : x;
}
static double clamp(double x, double a, double b) {
return x < a ? a : x > b ? b : x;
}
static int clamp(int x, int a, int b) {
return x < a ? a : x > b ? b : x;
}
static double toDouble(Object o) {
if (o instanceof Number)
return ((Number) o).doubleValue();
if (o instanceof BigInteger)
return ((BigInteger) o).doubleValue();
if (o == null) return 0.0;
throw fail(o);
}
static byte[] bytesFromHex(String s) {
return hexToBytes(s);
}
static String dropPrefix(String prefix, String s) {
return s == null ? null : s.startsWith(prefix) ? s.substring(l(prefix)) : s;
}
static int ubyteToInt(byte b) {
return b & 0x0FF;
}
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(String msg) { throw new RuntimeException(msg == null ? "" : msg); }
static RuntimeException fail(String msg, Throwable innerException) { throw new RuntimeException(msg, innerException); }
static byte[] hexToBytes(String s) {
if (odd(l(s))) throw fail("Hex string has odd length: " + quote(shorten(10, s)));
int n = l(s) / 2;
byte[] bytes = new byte[n];
for (int i = 0; i < n; i++) {
int a = parseHexChar(s.charAt(i*2));
int b = parseHexChar(s.charAt(i*2+1));
if (a < 0 || b < 0)
throw fail("Bad hex byte: " + quote(substring(s, i*2, i*2+2)) + " at " + i*2 + "/" + l(s));
bytes[i] = (byte) ((a << 4) | b);
}
return bytes;
}
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 RuntimeException asRuntimeException(Throwable t) {
if (t instanceof Error)
_handleError((Error) t);
return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static boolean odd(int i) {
return (i & 1) != 0;
}
static boolean odd(long i) {
return (i & 1) != 0;
}
static boolean odd(BigInteger i) { return odd(toInt(i)); }
static String quote(Object o) {
if (o == null) return "null";
return quote(str(o));
}
static String quote(String s) {
if (s == null) return "null";
StringBuilder out = new StringBuilder((int) (l(s)*1.5+2));
quote_impl(s, out);
return out.toString();
}
static void quote_impl(String s, StringBuilder out) {
out.append('"');
int l = s.length();
for (int i = 0; i < l; i++) {
char c = s.charAt(i);
if (c == '\\' || c == '"')
out.append('\\').append(c);
else if (c == '\r')
out.append("\\r");
else if (c == '\n')
out.append("\\n");
else if (c == '\0')
out.append("\\0");
else
out.append(c);
}
out.append('"');
}
static int shorten_default = 100;
static String shorten(String s) { return shorten(s, shorten_default); }
static String shorten(String s, int max) {
return shorten(s, max, "...");
}
static String shorten(String s, int max, String shortener) {
if (s == null) return "";
if (max < 0) return s;
return s.length() <= max ? s : substring(s, 0, min(s.length(), max-l(shortener))) + shortener;
}
static String shorten(int max, String s) { return shorten(s, max); }
static int parseHexChar(char c) {
if (c >= '0' && c <= '9') return charDiff(c, '0');
if (c >= 'a' && c <= 'f') return charDiff(c, 'a')+10;
if (c >= 'A' && c <= 'F') return charDiff(c, 'A')+10;
return -1;
}
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;
if (x >= s.length()) return "";
if (y < x) y = x;
if (y > s.length()) y = s.length();
return s.substring(x, y);
}
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 void _handleError(Error e) {
call(javax(), "_handleError", e);
}
static int toInt(Object o) {
if (o == null) return 0;
if (o instanceof Number)
return ((Number) o).intValue();
if (o instanceof String)
return parseInt((String) o);
throw fail("woot not int: " + getClassName(o));
}
static int toInt(long l) {
if (l != (int) l) throw fail("Too large for int: " + l);
return (int) l;
}
static String str(Object o) {
return o == null ? "null" : o.toString();
}
static String str(char[] c) {
return new String(c);
}
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 int charDiff(char a, char b) {
return (int) a-(int) b;
}
static int charDiff(String a, char b) {
return charDiff(stringToChar(a), b);
}
static int strL(String s) {
return s == null ? 0 : s.length();
}
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 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 callMC((String) f, 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) {
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 in " + c);
}
} catch (Exception __e) { throw rethrow(__e); } }
static Class javax() {
return getJavaX();
}
static int parseInt(String s) {
return empty(s) ? 0 : Integer.parseInt(s);
}
static int parseInt(char c) {
return Integer.parseInt(str(c));
}
static String getClassName(Object o) {
return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
static char stringToChar(String s) {
if (l(s) != 1) throw fail("bad stringToChar: " + s);
return firstChar(s);
}
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 HashMap> callMC_cache = new HashMap();
static String callMC_key;
static Method callMC_value;
// varargs assignment fixer for a single string array argument
static Object callMC(String method, String[] arg) {
return callMC(method, new Object[] {arg});
}
static Object callMC(String method, Object... args) { try {
Method me;
if (callMC_cache == null) callMC_cache = new HashMap(); // initializer time workaround
synchronized(callMC_cache) {
me = method == callMC_key ? callMC_value : null;
}
if (me != null) try {
return invokeMethod(me, null, args);
} catch (IllegalArgumentException e) {
throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
}
List m;
synchronized(callMC_cache) {
m = callMC_cache.get(method);
}
if (m == null) {
if (callMC_cache.isEmpty()) {
callMC_makeCache();
m = callMC_cache.get(method);
}
if (m == null) throw fail("Method named " + method + " not found in main");
}
int n = m.size();
if (n == 1) {
me = m.get(0);
synchronized(callMC_cache) {
callMC_key = method;
callMC_value = me;
}
try {
return invokeMethod(me, null, args);
} catch (IllegalArgumentException e) {
throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
}
}
for (int i = 0; i < n; i++) {
me = m.get(i);
if (call_checkArgs(me, args, false))
return invokeMethod(me, null, args);
}
throw fail("No method called " + method + " with matching arguments found in main");
} catch (Exception __e) { throw rethrow(__e); } }
static void callMC_makeCache() {
synchronized(callMC_cache) {
callMC_cache.clear();
Class _c = (Class) mc(), c = _c;
while (c != null) {
for (Method m : c.getDeclaredMethods())
if ((m.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0) {
makeAccessible(m);
multiMapPut(callMC_cache, m.getName(), m);
}
c = c.getSuperclass();
}
}
}
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 != args.length) {
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 final Map callOpt_cache = newDangerousWeakHashMap();
static Object callOpt_cached(Object o, String methodName, Object... args) { try {
if (o == null) return null;
if (o instanceof Class) {
Class c = (Class) o;
_MethodCache cache = callOpt_getCache(c);
// TODO: (super-rare) case where method exists static and non-static
// with different args
Method me = cache.findMethod(methodName, args);
if (me == null || (me.getModifiers() & Modifier.STATIC) == 0) return null;
return invokeMethod(me, null, args);
} else {
Class c = o.getClass();
_MethodCache cache = callOpt_getCache(c);
Method me = cache.findMethod(methodName, args);
if (me == null) return null;
return invokeMethod(me, o, args);
}
} catch (Exception __e) { throw rethrow(__e); } }
static _MethodCache callOpt_getCache(Class c) {
synchronized(callOpt_cache) {
_MethodCache cache = callOpt_cache.get(c);
if (cache == null)
callOpt_cache.put(c, cache = new _MethodCache(c));
return cache;
}
}
static boolean isStaticMethod(Method m) {
return methodIsStatic(m);
}
static Object[] massageArgsForVarArgsCall(Method m, Object[] args) {
Class>[] types = m.getParameterTypes();
int n = types.length-1, nArgs = args.length;
if (nArgs < n) return null;
for (int i = 0; i < n; i++)
if (!argumentCompatibleWithType(args[i], types[i]))
return null;
Class varArgType = types[n].getComponentType();
for (int i = n; i < nArgs; i++)
if (!argumentCompatibleWithType(args[i], varArgType))
return null;
Object[] newArgs = new Object[n+1];
arraycopy(args, 0, newArgs, 0, n);
Object[] varArgs = arrayOfType(varArgType, nArgs-n);
arraycopy(args, n, varArgs, 0, nArgs-n);
newArgs[n] = varArgs;
return newArgs;
}
static String joinWithComma(Collection c) {
return join(", ", c);
}
static String joinWithComma(String... c) {
return join(", ", c);
}
static String joinWithComma(Pair p) {
return p == null ? "" : joinWithComma(str(p.a), str(p.b));
}
static List classNames(Collection l) {
return getClassNames(l);
}
static List classNames(Object[] l) {
return getClassNames(Arrays.asList(l));
}
static Class __javax;
static Class getJavaX() { try {
return __javax;
} catch (Exception __e) { throw rethrow(__e); } }
static boolean empty(Collection c) { return c == null || c.isEmpty(); }
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(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(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(File f) { return getFileSize(f) == 0; }
static char firstChar(String s) {
return s.charAt(0);
}
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